Pacing Guide Math

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					                                                                                                                                                                                  Introduced
Mathematics




                                                                                                                                                                                                   Taught


                                                                                                                                                                                                            Tested
            Mathematics Common                                                                                  Correlation by Learning Expectations with Aligned Checks for
 Common                                      Mathematics Common Core Standard                  TN Standard
                Core Cluster                                                                                          Understanding and State Performance Indicators
Core Domain



                                                                                            1st Six Weeks

Counting &   Know number names CC.K.1 Know number names and the count sequence.                Mathematical GLE0006.1.1 Use mathematical language, symbols, and definitions
Cardinality and the count sequence Count to 100 by ones and by tens.                            Processes while developing mathematical reasoning.
                                                                                                                                                                                               1                     6
                                                                                               Mathematical GLE0006.1.6 Read and interpret the language of mathematics and
                                                                                                Processes use written/oral communication to express mathematical ideas
                                                                                                            precisely.                                                                         1                     6
                                                                                                Numbers & GLE0006.2.1 Count objects in a set and use numbers, including
                                                                                                Operations written numerals to 25.                                                             1                     6
                                                                                                Numbers & CU0006.2.1 Count objects to 25 using one-to-one correspondence
                                                                                                Operations and identify the quantity in the counted group.                                     1                     3
Counting &   Know number names CC.K.2 Know number names and the count sequence.                  Algebra    GLE0006.3.1 Identify, duplicate, and extend simple number patterns
Cardinality and the count sequence Count forward beginning from a given number within the                   and sequential and growing patterns.
                                   known sequence (instead of having to begin at 1).                                                                                                           1                     3
                                                                                               Algebra       CU0006.3.2 Name, copy, and extend patterns.                                       1                     3
                                                                                              Numbers &      CU0006.2.2 Match quantities to 25 with numerals and written words.
                                                                                              Operations                                                                                       1                     6
                                                                                              Numbers &      GLE0006.2.1 Count objects in a set and use numbers, including
                                                                                              Operations     written numerals to 25.                                                           1                     6
                                                                                              Numbers &      GLE0006.2.2 Create, represent and recognize a set with a given
                                                                                              Operations     number of objects.                                                                1                     4
                                                                                              Numbers &      CU0006.2.2 Match quantities to 25 with numerals and written words.
                                                                                              Operations                                                                                       1                     6
                                                                                              Numbers &      CU0006.2.1 Count objects to 25 using one-to-one correspondence
                                                                                              Operations     and identify the quantity in the counted group.                                   1                     6
                                                                                              Numbers &      CU0006.2.5 Create a set with a given number of objects.
                                                                                              Operations                                                                                       1                     4
                                                                                              Numbers &      CU0006.2.7 Recognize zero 0 as a set with "no objects".
                                                                                              Operations                                                                                       1                     1
                                                                                              Numbers &      CU0006.2.9 Order the numbers through 25 using numerals and words.
                                                                                              Operations                                                                                       1                     6
Counting & Count to tell the number CC.K.4 Count to tell the number of objects. Understand   Mathematical    GLE0006.1.6 Read and interpret the language of mathematics and
Cardinality       of objects        the relationship between numbers and quantities; connect  Processes      use written/oral communication to express mathematical ideas
                                    counting to cardinality.                                                 precisely.                                                                        1                     6
                                                                                             Mathematical    GLE0006.1.1 Use mathematical language, symbols, and definitions
                                                                                              Processes      while developing mathematical reasoning.                                          1                     6
                                                                                              Numbers &      GLE0006.2.1 Count objects in a set and use numbers, including
                                                                                              Operations     written numerals to 25.                                                           1                     6
                                                                                              Numbers &      CU0006.2.1 Count objects to 25 using one-to-one correspondence
                                                                                              Operations     and identify the quantity in the counted group.                                   1                     6
                                                                                              Numbers &      CU0006.2.2 Match quantities to 25 with numerals and written words.
                                                                                              Operations                                                                                       1                     6
                                                                                              Numbers &      CU0006.2.6 Quickly recognize the number of objects in a small set.
                                                                                              Operations                                                                                       1                     3
                                                                                              Numbers &      CU0006.2.7 Recognize zero 0 as a set with "no objects".
                                                                                              Operations                                                                                       1                     1
                                                                                              Numbers &      CU0006.2.17 Understand that numbers can be represented by
                                                                                              Operations     different groupings.                                                              1                     2
                                                                                                       -1
                                                                                                                                                                                   Introduced
Mathematics




                                                                                                                                                                                                    Taught


                                                                                                                                                                                                             Tested
            Mathematics Common                                                                                  Correlation by Learning Expectations with Aligned Checks for
 Common                                       Mathematics Common Core Standard                 TN Standard
                Core Cluster                                                                                          Understanding and State Performance Indicators
Core Domain


                                                                                                Numbers &     GLE0006.2.3 Recognize, compare and order sets of numerals by
                                                                                                Operations    using both cardinal and ordinal meanings.                                         1                     4
Counting & Count to tell the number CC.K.4a When counting objects, say the number names        Mathematical   GLE0006.1.1 Use mathematical language, symbols, and definitions
Cardinality       of objects        in the standard order, pairing each object with one and     Processes     while developing mathematical reasoning.
                                    only one number name and each number name with one
                                    and only one object.                                                                                                                                        1                     6
                                                                                               Mathematical GLE0006.1.6 Read and interpret the language of mathematics and
                                                                                                Processes use written/oral communication to express mathematical ideas
                                                                                                            precisely.                                                                          1                     6
                                                                                                Numbers & GLE0006.2.1 Count objects in a set and use numbers, including
                                                                                                Operations written numerals to 25.



                                                                                                                                                                                                1                     6
                                                                                                Numbers &     CU0006.2.1 Count objects to 25 using one-to-one correspondence
                                                                                                Operations    and identify the quantity in the counted group.                                   1                     6
                                                                                                Numbers &     CU0006.2.2 Match quantities to 25 with numerals and written words.
                                                                                                Operations                                                                                      1                     6
Counting & Count to tell the number CC.K.4b Understand that the last number name said tells    Mathematical   GLE0006.1.1 Use mathematical language, symbols, and definitions
Cardinality       of objects        the number of objects counted. The number of objects is     Processes     while developing mathematical reasoning.
                                    the same regardless of their arrangement or the order in
                                    which they were counted.                                                                                                                                    1                     6
                                                                                               Mathematical GLE0006.1.6 Read and interpret the language of mathematics and
                                                                                                Processes use written/oral communication to express mathematical ideas
                                                                                                            precisely.                                                                          1                     6
                                                                                                Numbers & GLE0006.2.1 Count objects in a set and use numbers, including
                                                                                                Operations written numerals to 25.



                                                                                                                                                                                                1                     6
                                                                                                Numbers &     GLE0006.2.2 Create, represent and recognize a set with a given
                                                                                                Operations    number of objects.                                                                1                     6
                                                                                                Numbers &     GLE0006.2.3 Recognize, compare and order sets of numerals by
                                                                                                Operations    using both cardinal and ordinal meanings.                                         1                     6
                                                                                                Numbers &     CU0006.2.6 Quickly recognize the number of objects in a small set.
                                                                                                Operations                                                                                      1                     6
                                                                                                Numbers &     CU0006.2.12 Model simple joining and separating situations with
                                                                                                Operations    objects.                                                                          1                     6
Counting & Count to tell the number CC.K.4c Understand that each successive number name        Mathematical   GLE0006.1.1 Use mathematical language, symbols, and definitions
Cardinality       of objects        refers to a quantity that is one larger.                    Processes     while developing mathematical reasoning.                                          1                     6
                                                                                               Mathematical   GLE0006.1.6 Read and interpret the language of mathematics and
                                                                                                Processes     use written/oral communication to express mathematical ideas
                                                                                                              precisely.                                                                        1                     6




                                                                                                      -2
                                                                                                                                                                                      Introduced
Mathematics




                                                                                                                                                                                                       Taught


                                                                                                                                                                                                                Tested
            Mathematics Common                                                                                     Correlation by Learning Expectations with Aligned Checks for
 Common                                         Mathematics Common Core Standard                   TN Standard
                Core Cluster                                                                                             Understanding and State Performance Indicators
Core Domain


                                                                                                    Numbers &    GLE0006.2.1 Count objects in a set and use numbers, including
                                                                                                    Operations   written numerals to 25.



                                                                                                                                                                                                   1                     6
Counting & Count to tell the number CC.K.5 Count to tell the number of objects. Count to           Mathematical GLE0006.1.4 Move flexibly between concrete and abstract
Cardinality       of objects        answer “how many?” questions about as many as 20                Processes representations of mathematical ideas in order to solve problems,
                                    things arranged in a line, a rectangular array, or a circle,                model mathematical ideas, and communicate solution strategies.
                                    or as many as 10 things in a scattered configuration;
                                    given a number from 1-20, count out that many objects.
                                                                                                                                                                                                   1                     6
                                                                                                   Mathematical GLE0006.1.5 Use mathematical ideas and processes in different
                                                                                                    Processes settings to formulate patterns, analyze graphs, set up and solve
                                                                                                                problems and interpret solutions.                                                  1                     6
                                                                                                   Mathematical GLE0006.1.8 Use technologies/manipulatives appropriately to develop
                                                                                                    Processes understanding of mathematical algorithms, to facilitate problem
                                                                                                                solving, and to create accurate and reliable models of mathematical
                                                                                                                concepts.                                                                          1                     6
                                                                                                    Numbers & GLE0006.2.1 Count objects in a set and use numbers, including
                                                                                                    Operations written numerals to 25.                                                             1                     6
                                                                                                    Numbers & GLE0006.2.2 Create, represent and recognize a set with a given
                                                                                                    Operations number of objects.                                                                  1                     6
                                                                                                    Numbers & GLE0006.2.3 Recognize, compare and order sets of numerals by
                                                                                                    Operations using both cardinal and ordinal meanings.                                           1                     6
                                                                                                    Numbers & GLE0006.2.5 Model the numbers 1 through 10 as sums or differences
                                                                                                    Operations of different sets of whole numbers composing and decomposing
                                                                                                                numbers.                                                                           1                     6
                                                                                                    Numbers & CU0006.2.1 Count objects to 25 using one-to-one correspondence
                                                                                                    Operations and identify the quantity in the counted group.                                     1                     6
                                                                                                    Numbers & CU0006.2.2 Match quantities to 25 with numerals and written words.
                                                                                                    Operations                                                                                     1                     6
                                                                                                    Numbers & CU0006.2.5 Create a set with a given number of objects.
                                                                                                    Operations                                                                                     1                     6
                                                                                                    Numbers & CU0006.2.6 Quickly recognize the number of objects in a small set.
                                                                                                    Operations                                                                                     1                     6
                                                                                                    Numbers & CU0006.2.9 Order the numbers through 25 using numerals and words.
                                                                                                    Operations                                                                                     1                     6
                                                                                                   Mathematical GLE0006.1.8 Use technologies/manipulatives appropriately to develop
                                                                                                    Processes understanding of mathematical algorithms, to facilitate problem
                                                                                                                solving, and to create accurate and reliable models of mathematical
                                                                                                                concepts.                                                                          1                     6
                                                                                                   Mathematical GLE0006.1.1 Use mathematical language, symbols, and definitions
                                                                                                    Processes while developing mathematical reasoning.                                             1                     6
                                                                                                   Mathematical GLE0006.1.6 Read and interpret the language of mathematics and
                                                                                                    Processes use written/oral communication to express mathematical ideas
                                                                                                                precisely.                                                                         1                     6
                                                                                                    Numbers & GLE0006.2.3 Recognize, compare and order sets of numerals by
                                                                                                    Operations using both cardinal and ordinal meanings.                                           1                     6

                                                                                                           -3
                                                                                                                                                                                 Introduced
Mathematics




                                                                                                                                                                                                  Taught


                                                                                                                                                                                                           Tested
            Mathematics Common                                                                                Correlation by Learning Expectations with Aligned Checks for
 Common                                      Mathematics Common Core Standard                TN Standard
                Core Cluster                                                                                        Understanding and State Performance Indicators
Core Domain


Counting &      Compare numbers      CC.K.7 Compare numbers. Compare two numbers             Mathematical   GLE0006.1.1 Use mathematical language, symbols, and definitions
Cardinality                          between 1 and 10 presented as written numerals.          Processes     while developing mathematical reasoning.                                          1                     6
                                                                                             Mathematical   GLE0006.1.6 Read and interpret the language of mathematics and
                                                                                              Processes     use written/oral communication to express mathematical ideas
                                                                                                            precisely.                                                                        1                     6
                                                                                              Numbers &     GLE0006.2.1 Count objects in a set and use numbers, including
                                                                                              Operations    written numerals to 25.                                                           1                     6
                                                                                              Numbers &     CU0006.2.9 Order the numbers through 25 using numerals and words.
                                                                                              Operations                                                                                      1                     6
                                                                                              Numbers &     CU0006.2.8 Compare sets of ten or fewer objects and identify which
                                                                                              Operations    are equal to, more than, or less than others.                                     1                     6
Operations & Understand addition as OA.K.1 Understand addition as putting together and       Mathematical   GLE0006.1.4 Move flexibly between concrete and abstract
 Algebraic    putting together and adding to, and understand subtraction as taking apart and  Processes     representations of mathematical ideas in order to solve problems,
 Thinking        adding to, and     taking from. Represent addition and subtraction with                    model mathematical ideas, and communicate solution strategies.
             understand subtraction objects, fingers, mental images, drawings (drawings need
              as taking apart and   not show details, but should show the mathematics in the
                   taking from      problem), sounds (e.g., claps), acting out situations,
                                    verbal explanations, expressions, or equations.
                                                                                                                                                                                              1                     6
                                                                                             Mathematical GLE0006.1.1 Use mathematical language, symbols, and definitions
                                                                                              Processes   while developing mathematical reasoning.                                            1                     6
                                                                                             Mathematical GLE0006.1.6 Read and interpret the language of mathematics and
                                                                                              Processes   use written/oral communication to express mathematical ideas
                                                                                                          precisely.                                                                          1                     6
                                                                                             Mathematical GLE0006.1.8 Use technologies/manipulatives appropriately to develop
                                                                                              Processes understanding of mathematical algorithms, to facilitate problem
                                                                                                          solving, and to create accurate and reliable models of mathematical
                                                                                                          concepts.                                                                           1                     6
                                                                                             Mathematical CU0006.1.9 Use age-appropriate books, stories, and videos to convey
                                                                                              Processes ideas of mathematics.                                                                 1                     6
Operations & Understand addition as OA.K.2 Understand addition as putting together and       Mathematical GLE0006.1.1 Use mathematical language, symbols, and definitions
 Algebraic    putting together and adding to, and understand subtraction as taking apart and  Processes while developing mathematical reasoning.
 Thinking        adding to, and     taking from. Solve addition and subtraction word
             understand subtraction problems, and add and subtract within 10, e.g., by using
              as taking apart and   objects or drawings to represent the problem.
                   taking from                                                                                                                                                                1                     6
                                                                                             Mathematical GLE0006.1.6 Read and interpret the language of mathematics and
                                                                                              Processes use written/oral communication to express mathematical ideas
                                                                                                          precisely.                                                                          1                     6
                                                                                             Mathematical GLE0006.1.2 Apply and adapt a variety of appropriate strategies to
                                                                                              Processes problem solving, including estimation, and reasonableness of the
                                                                                                          solution.




                                                                                                                                                                                              1                     6




                                                                                                     -4
                                                                                                                                                                                          Introduced
Mathematics




                                                                                                                                                                                                           Taught


                                                                                                                                                                                                                    Tested
            Mathematics Common                                                                                        Correlation by Learning Expectations with Aligned Checks for
 Common                                       Mathematics Common Core Standard                     TN Standard
                Core Cluster                                                                                                Understanding and State Performance Indicators
Core Domain


Operations & Understand addition as   OA.K.3 Understand addition as putting together and            Numbers &       GLE0006.2.5 Model the numbers 1 through 10 as sums or differences
 Algebraic    putting together and    adding to, and understand subtraction as taking apart and     Operations      of different sets of whole numbers composing and decomposing
 Thinking        adding to, and       taking from. Decompose numbers less than or equal to 10                       numbers.
             understand subtraction   into pairs in more than one way, e.g., by using objects or
              as taking apart and     drawings, and record each decomposition by a drawing or
                   taking from        equation (e.g., 5 = 2 + 3 and 5 = 4 + 1).
                                                                                                                                                                                                       1                     6
                                                                                                   Mathematical GLE0006.1.4 Move flexibly between concrete and abstract
                                                                                                    Processes representations of mathematical ideas in order to solve problems,
                                                                                                                model mathematical ideas, and communicate solution strategies.                         1                     6
                                                                                                   Mathematical GLE0006.1.5 Use mathematical ideas and processes in different
                                                                                                    Processes settings to formulate patterns, analyze graphs, set up and solve
                                                                                                                problems and interpret solutions.                                                      1                     6
                                                                                                    Numbers & GLE0006.2.5 Model the numbers 1 through 10 as sums or differences
                                                                                                    Operations of different sets of whole numbers composing and decomposing
                                                                                                                numbers.                                                                               1                     6
                                                                                                    Numbers & CU0006.2.17 Understand that numbers can be represented by
                                                                                                    Operations different groupings.                                                                    1                     2
Measurement Describe and compare MD.K.1 Describe and compare measurable attributes.                Mathematical GLE0006.1.1 Use mathematical language, symbols, and definitions
  & Data    measurable attributes Describe measurable attributes of objects, such as length         Processes while developing mathematical reasoning.
                                  or weight. Describe several measurable attributes of a
                                  single object.                                                                                                                                                       1                     6
                                                                                                   Mathematical GLE0006.1.2 Apply and adapt a variety of appropriate strategies to
                                                                                                    Processes problem solving, including estimation, and reasonableness of the
                                                                                                                  solution.                                                                            1                     6
                                                                                                   Mathematical GLE0006.1.6 Read and interpret the language of mathematics and
                                                                                                    Processes use written/oral communication to express mathematical ideas
                                                                                                                  precisely.                                                                           1                     6
                                                                                                   Mathematical GLE0006.1.4 Move flexibly between concrete and abstract
                                                                                                    Processes representations of mathematical ideas in order to solve problems,
                                                                                                                  model mathematical ideas, and communicate solution strategies.                       1                     6
                                                                                                   Mathematical CU0006.1.9 Use age-appropriate books, stories, and videos to convey
                                                                                                    Processes ideas of mathematics.                                                                    1                     6
                                                                                                       Data,      GLE0006.5.1 Sort objects and use one or more attributes to solve
                                                                                                   Probability, & problems.
                                                                                                     Statistics                                                                                        1                     3
                                                                                                       Data,      GLE0006.5.2 Re-sort objects using new attributes.
                                                                                                   Probability, &
                                                                                                     Statistics


                                                                                                                                                                                                       1                     3
                                                                                                       Data,        CU0006.5.1 Sort objects into sets and describe how the objects were
                                                                                                   Probability, &   sorted.
                                                                                                     Statistics                                                                                        1                     3
                                                                                                   Mathematical     GLE0006.1.1 Use mathematical language, symbols, and definitions
                                                                                                    Processes       while developing mathematical reasoning.                                           1                     6
                                                                                                   Mathematical     GLE0006.1.2 Apply and adapt a variety of appropriate strategies to
                                                                                                    Processes       problem solving, including estimation, and reasonableness of the
                                                                                                                    solution.                                                                          1                     6
                                                                                                           -5
                                                                                                                                                                                         Introduced
Mathematics




                                                                                                                                                                                                          Taught


                                                                                                                                                                                                                   Tested
            Mathematics Common                                                                                       Correlation by Learning Expectations with Aligned Checks for
 Common                                       Mathematics Common Core Standard                    TN Standard
                Core Cluster                                                                                               Understanding and State Performance Indicators
Core Domain


Measurement   Classify objects and   MD.K.3 Classify objects and count the number of objects          Data,      GLE0006.5.1 Sort objects and use one or more attributes to solve
  & Data      count the number of    in each category. Classify objects into given categories;    Probability, & problems.
                objects in each      count the numbers of objects in each category and sort         Statistics
                   category          the categories by count. (Limit category counts to be less
                                     than or equal to 10.)                                                                                                                                            1                     3
                                                                                                      Data,        GLE0006.5.2 Re-sort objects using new attributes.
                                                                                                  Probability, &
                                                                                                    Statistics                                                                                        1                     3
                                                                                                      Data,        CU0006.5.1 Sort objects into sets and describe how the objects were
                                                                                                  Probability, &   sorted.
                                                                                                    Statistics                                                                                        1                     3
                                                                                                      Data,        CU0006.5.2 Sort objects in different ways.
                                                                                                  Probability, &
                                                                                                    Statistics                                                                                        1                     3
                                                                                                      Data,        CU0006.5.3 Collect and count data.
                                                                                                  Probability, &
                                                                                                    Statistics                                                                                        1                     3
                                                                                                  Mathematical     GLE0006.1.1 Use mathematical language, symbols, and definitions
                                                                                                   Processes       while developing mathematical reasoning.




                                                                                                                                                                                                      1                     6
                                                                                                  Mathematical GLE0006.1.5 Use mathematical ideas and processes in different
                                                                                                   Processes settings to formulate patterns, analyze graphs, set up and solve
                                                                                                               problems and interpret solutions.                                                      1                     6
                                                                                                  Geometry & CU0006.4.1 Identify, name, and describe a variety of shapes i.e.
                                                                                                  Measurement circles, squares, triangles, rectangles, hexagons, trapezoids shown in
                                                                                                               various positions.                                                                     1                     2
                                                                                                  Mathematical GLE0006.1.1 Use mathematical language, symbols, and definitions
                                                                                                   Processes while developing mathematical reasoning.                                                 1                     6
                                                                                                  Mathematical GLE0006.1.6 Read and interpret the language of mathematics and
                                                                                                   Processes use written/oral communication to express mathematical ideas
                                                                                                               precisely.



                                                                                                                                                                                                      1                     6
                                                                                                  Mathematical GLE0006.1.7 Recognize the historical development of mathematics,
                                                                                                   Processes mathematics in context, and the connections between mathematics
                                                                                                               and the real world.                                                                    1                     6
                                                                                                  Mathematical CU0006.1.9 Use age-appropriate books, stories, and videos to convey
                                                                                                   Processes ideas of mathematics.                                                                    1                     6




                                                                                                          -6
                                                                                                                                                                                        Introduced
Mathematics




                                                                                                                                                                                                         Taught


                                                                                                                                                                                                                  Tested
            Mathematics Common                                                                                      Correlation by Learning Expectations with Aligned Checks for
 Common                                         Mathematics Common Core Standard                   TN Standard
                Core Cluster                                                                                              Understanding and State Performance Indicators
Core Domain


 Geometry     Identify and describe    G.K.2 Identify and describe shapes (squares, circles,       Mathematical GLE0006.1.1 Use mathematical language, symbols, and definitions
                shapes (squares,       triangles, rectangles, hexagons, cubes, cones, cylinders,    Processes while developing mathematical reasoning.
                circles, triangles,    and spheres). Correctly name shapes regardless of their
             rectangles, hexagons,     orientations or overall size.
            cubes, cones, cylinders,
                  and spheres)
                                                                                                                                                                                                     1                     6
                                                                                                   Mathematical GLE0006.1.6 Read and interpret the language of mathematics and
                                                                                                    Processes use written/oral communication to express mathematical ideas
                                                                                                                precisely.                                                                           1                     6
                                                                                                   Mathematical GLE0006.1.4 Move flexibly between concrete and abstract
                                                                                                    Processes representations of mathematical ideas in order to solve problems,
                                                                                                                model mathematical ideas, and communicate solution strategies.                       1                     6
                                                                                                   Geometry & CU0006.4.1 Identify, name, and describe a variety of shapes i.e.
                                                                                                   Measurement circles, squares, triangles, rectangles, hexagons, trapezoids shown in
                                                                                                                various positions.


                                                                                                                                                                                                     1                     2
                                                                                                   MathematicalGLE0006.1.1 Use mathematical language, symbols, and definitions
                                                                                                    Processes  while developing mathematical reasoning.                                              1                     6
                                                                                                   MathematicalGLE0006.1.6 Read and interpret the language of mathematics and
                                                                                                    Processes  use written/oral communication to express mathematical ideas
                                                                                                               precisely.                                                                            1                     6
 Geometry     Analyze, compare,        G.K.4 Analyze, compare, create, and compose shapes.          Geometry & CU0006.4.1 Identify, name, and describe a variety of shapes i.e.
             create, and compose       Analyze and compare two- and three-dimensional shapes, Measurement circles, squares, triangles, rectangles, hexagons, trapezoids shown in
                    shapes             in different sizes and orientations, using informal language            various positions.
                                       to describe their similarities, differences, parts (e.g.,
                                       number of sides and vertices/“corners”) and other
                                       attributes (e.g., having sides of equal length).
                                                                                                                                                                                                     1                     2
                                                                                                   Mathematical GLE0006.1.1 Use mathematical language, symbols, and definitions
                                                                                                    Processes   while developing mathematical reasoning.                                             1                     6
                                                                                                   Mathematical GLE0006.1.6 Read and interpret the language of mathematics and
                                                                                                    Processes   use written/oral communication to express mathematical ideas
                                                                                                                precisely.                                                                           1                     6
                                                                                                   Mathematical GLE0006.1.7 Recognize the historical development of mathematics,
                                                                                                    Processes mathematics in context, and the connections between mathematics
                                                                                                                and the real world.                                                                  1                     6
                                                                                                   Mathematical GLE0006.1.2 Apply and adapt a variety of appropriate strategies to
                                                                                                    Processes problem solving, including estimation, and reasonableness of the
                                                                                                                solution.                                                                            1                     6
                                                                                                   Mathematical GLE0006.1.5 Use mathematical ideas and processes in different
                                                                                                    Processes settings to formulate patterns, analyze graphs, set up and solve
                                                                                                                problems and interpret solutions.                                                    1                     6




                                                                                                           -7
                                                                                                                                                                 Introduced
Mathematics




                                                                                                                                                                                  Taught


                                                                                                                                                                                           Tested
            Mathematics Common                                                          Correlation by Learning Expectations with Aligned Checks for
 Common                          Mathematics Common Core Standard      TN Standard
                Core Cluster                                                                  Understanding and State Performance Indicators
Core Domain


                                                                    2nd Six Weeks

                                                                        Numbers &     CU0006.2.12 Model simple joining and separating situations with
                                                                        Operations    objects.                                                                                2                     6
                                                                        Numbers &     CU0006.2.10 Recognize 6 through 10 as "five and some ones."
                                                                        Operations                                                                                            2                     6
                                                                        Numbers &     CU0006.2.17 Understand that numbers can be represented by
                                                                        Operations    different groupings.                                                                    2                     6
                                                                       Geometry &     CU0006.4.7 Make direct and indirect comparisons between objects
                                                                       Measurement    such as recognize which is shorter, longer, taller, lighter, heavier, or
                                                                                      holds more.                                                                             2                     3
                                                                           Data,      CU0006.5.2 Sort objects in different ways.
                                                                       Probability, &
                                                                         Statistics                                                                                           2                     4
                                                                          Algebra     GLE0006.3.3 Describe qualitative change.                                                2                     4
                                                                          Algebra     CU0006.3.5 Describe change in attributes according to qualitative
                                                                                      criteria such as longer/shorter, colder/warmer, heavier/lighter.                        2                     4
                                                                        Geometry & CU0006.4.7 Make direct and indirect comparisons between objects
                                                                       Measurement such as recognize which is shorter, longer, taller, lighter, heavier, or
                                                                                      holds more.                                                                             2                     3
                                                                          Algebra     GLE0006.3.3 Describe qualitative change.                                                2                     4
                                                                          Algebra     CU0006.3.5 Describe change in attributes according to qualitative
                                                                                      criteria such as longer/shorter, colder/warmer, heavier/lighter.                        2                     4
                                                                        Geometry & GLE0006.4.2 Use positional terms to specify locations with simple
                                                                       Measurement relationships.                                                                             2                     3
                                                                          Algebra     GLE0006.3.2 Recognize attributes such as color, shape, size and
                                                                                      patterns such as repeated pairs, bilateral symmetry.                                    2                     3
                                                                        Geometry & CU0006.4.5 Use basic shapes and spatial reasoning to model objects
                                                                       Measurement and construct more complex shapes.                                                         2                     3
                                                                        Geometry & CU0006.4.5 Use basic shapes and spatial reasoning to model objects
                                                                       Measurement and construct more complex shapes.                                                         2                     3




                                                                               -8
                                                                                                                                                                                        Introduced
Mathematics




                                                                                                                                                                                                         Taught


                                                                                                                                                                                                                  Tested
            Mathematics Common                                                                                         Correlation by Learning Expectations with Aligned Checks for
 Common                                         Mathematics Common Core Standard                      TN Standard
                Core Cluster                                                                                                 Understanding and State Performance Indicators
Core Domain


                                                                                                 3rd Six Weeks

Counting &   Know number names CC.K.3 Know number names and the count sequence.                       Mathematical GLE0006.1.1 Use mathematical language, symbols, and definitions
Cardinality and the count sequence Write numbers from 0 to 20. Represent a number of                   Processes while developing mathematical reasoning.
                                   objects with a written numeral 0-20 (with 0 representing a
                                   count of no objects).                                                                                                                                             3                     6
                                                                                                      Mathematical GLE0006.1.6 Read and interpret the language of mathematics and
                                                                                                       Processes use written/oral communication to express mathematical ideas
                                                                                                                   precisely.                                                                        3                     6
                                                                                                       Numbers & CU0006.2.14 Understand add as "put together" or "count on" and
                                                                                                       Operations solve addition problems with sums less than 20.                                    3                     6
Counting &      Compare numbers        CC.K.6 Compare numbers. Identify whether the number             Numbers & CU0006.2.8 Compare sets of ten or fewer objects and identify which
Cardinality                            of objects in one group is greater than, less than, or equal    Operations are equal to, more than, or less than others.
                                       to the number of objects in another group, e.g., by using
                                       matching and counting strategies. (Include groups with
                                       up to ten objects.)                                                                                                                                           3                     4
                                                                                                  Numbers &          CU0006.2.13 Add and subtract single-digit numbers whose total or
                                                                                                  Operations         difference is between 0 and 10.                                                 3                     6
                                                                                                  Numbers &          CU0006.2.14 Understand add as "put together" or "count on" and
                                                                                                  Operations         solve addition problems with sums less than 20.                                 3                     6
                                                                                                 Mathematical        GLE0006.1.1 Use mathematical language, symbols, and definitions
                                                                                                  Processes          while developing mathematical reasoning.                                        3                     6
Operations &    Work with numbers      OA.K.5 Understand addition as putting together and         Numbers &          CU0006.2.13 Add and subtract single-digit numbers whose total or
 Algebraic        11–19 to gain        adding to, and understand subtraction as taking apart and  Operations         difference is between 0 and 10.
 Thinking      foundations for place   taking from. Fluently add and subtract within 5.
                      value.                                                                                                                                                                         3                     6
                                                                                                               GLE0006.2.4 Understand addition as "putting together" and
                                                                                                       Numbers &
                                                                                                               subtraction as "breaking apart."
                                                                                                       Operations                                                                                    3                     6
                                                                                                               GLE0006.1.6 Read and interpret the language of mathematics and
                                                                                                      Mathematical
                                                                                                               use written/oral communication to express mathematical ideas
                                                                                                       Processes
                                                                                                               precisely.                                                                            3                     6
Numbers &       Work with numbers      NBT.K.1 Work with numbers 11-19 to gain foundations for Mathematical GLE0006.1.1 Use mathematical language, symbols, and definitions
Operations        11–19 to gain        place value. Compose and decompose numbers from 11           Processes while developing mathematical reasoning.
to the Base    foundations for place   to 19 into ten ones and some further ones, e.g., by using
    Ten                value           objects or drawings, and record each composition or
                                       decomposition by a drawing or equation (such as 18 = 10
                                       + 8); understand that these numbers are composed of ten
                                       ones and one, two, three, four, five, six, seven, eight, or
                                       nine ones.                                                                                                                                                    3                     6
                                                                                                   Geometry & GLE0006.4.3 Compare and order measurable attributes of objects
                                                                                                   Measurement directly by comparing them with each other and indirectly by
                                                                                                               comparing both with a third object.



                                                                                                                                                                                                     3                     3




                                                                                                             -9
                                                                                                                                                                                              Introduced
Mathematics




                                                                                                                                                                                                               Taught


                                                                                                                                                                                                                        Tested
            Mathematics Common                                                                                         Correlation by Learning Expectations with Aligned Checks for
 Common                                           Mathematics Common Core Standard                    TN Standard
                Core Cluster                                                                                                 Understanding and State Performance Indicators
Core Domain


Measurement                            MD.K.2 Describe and compare measurable attributes.         Geometry & GLE0006.4.3 Compare and order measurable attributes of objects
  & Data                               Directly compare two objects with a measurable attribute Measurement directly by comparing them with each other and indirectly by
                                       in common, to see which object has “more of”/“less of” the            comparing both with a third object.
                                       attribute, and describe the difference. For example,
                                       directly compare the heights of two children and describe
                                       one child as taller/shorter.                                                                                                                                        3                     3
 Geometry       Identify and describe G.K.1 Identify and describe shapes (squares, circles,       Geometry & GLE0006.4.1 Interpret and describe the physical world with geometric
                  shapes (squares,     triangles, rectangles, hexagons, cubes, cones, cylinders, Measurement ideas and vocabulary.
                  circles, triangles,  and spheres). Describe objects in the environment using
               rectangles, hexagons, names of shapes, and describe the relative positions of
              cubes, cones, cylinders, these objects using terms such as above, below, beside,
                    and spheres)       in front of, behind, and next to.
                                                                                                                                                                                                           3                     4
                                                                                                      Geometry &     CU0006.4.2 Identify, name, and describe three-dimensional shapes
                                                                                                      Measurement    such as sphere, cube, cone, cylinder.                                                 3                     4
                                                                                                      Geometry &     CU0006.4.3 Sort plane figures into groups, name and describe the
                                                                                                      Measurement    attributes of the shapes such as number of sides and corners vertices.
                                                                                                                                                                                                           3                     4
                                                                                                      Geometry & CU0006.4.6 Identify positions such as beside, inside, outside, above,
                                                                                                      Measurement below, between, on, over, under, near, far, forward, backward, top,
                                                                                                                  middle, bottom, left, right using models, illustrations, and stories.
                                                                                                                                                                                                           3                     4
                                                                                                      Geometry &     CU0006.4.2 Identify, name, and describe three-dimensional shapes
                                                                                                      Measurement    such as sphere, cube, cone, cylinder.                                                 3                     4
                                                                                                      Geometry &     GLE0006.4.1 Interpret and describe the physical world with geometric
                                                                                                      Measurement    ideas and vocabulary.                                                                 3                     4
 Geometry       Identify and describe    G.K.3 Identify and describe shapes (squares, circles,        Geometry &     GLE0006.4.1 Interpret and describe the physical world with geometric
                  shapes (squares,       triangles, rectangles, hexagons, cubes, cones, cylinders,    Measurement    ideas and vocabulary.
                  circles, triangles,    and spheres). Identify shapes as two-dimensional (lying in
               rectangles, hexagons,     a plane, “flat”) or three-dimensional (“solid”).
              cubes, cones, cylinders,
                    and spheres)
                                                                                                                                                                                                           3                     4
                                                                                                      Geometry & CU0006.4.3 Sort plane figures into groups, name and describe the
                                                                                                      Measurement attributes of the shapes such as number of sides and corners vertices.
                                                                                                                                                                                                           3                     4
                                                                                                      Geometry & CU0006.4.4 Sort solid figures into groups, name and describe the
                                                                                                      Measurement attributes of the shapes.                                                                3                     4
                                                                                                        Algebra   CU0006.3.4 Sort, order and classify objects by attribute and identify
                                                                                                                  objects that do not belong in a particular group.



                                                                                                                                                                                                           3                     5
                                                                                                      Geometry &     CU0006.4.2 Identify, name, and describe three-dimensional shapes
                                                                                                      Measurement    such as sphere, cube, cone, cylinder.                                                 3                     4
                                                                                                      Geometry &     CU0006.4.3 Sort plane figures into groups, name and describe the
                                                                                                      Measurement    attributes of the shapes such as number of sides and corners vertices.
                                                                                                                                                                                                           3                     4


                                                                                                             -10
                                                                                                                                                                                    Introduced
Mathematics




                                                                                                                                                                                                     Taught


                                                                                                                                                                                                              Tested
            Mathematics Common                                                                                 Correlation by Learning Expectations with Aligned Checks for
 Common                                    Mathematics Common Core Standard                    TN Standard
                Core Cluster                                                                                         Understanding and State Performance Indicators
Core Domain


                                                                                               Geometry &    CU0006.4.4 Sort solid figures into groups, name and describe the
                                                                                               Measurement   attributes of the shapes.                                                           3                     4
                                                                                               Geometry &    GLE0006.4.1 Interpret and describe the physical world with geometric
                                                                                               Measurement   ideas and vocabulary.                                                               3                     4
 Geometry    Analyze, compare,    G.K.5 Analyze, compare, create, and compose shapes.          Geometry &    GLE0006.4.1 Interpret and describe the physical world with geometric
            create, and compose   Model shapes in the world by building shapes from            Measurement   ideas and vocabulary.
                   shapes         components (e.g., sticks and clay balls) and drawing
                                  shapes.                                                                                                                                                        3                     4
 Geometry    Analyze, compare,    G.K.6 Analyze, compare, create, and compose shapes.          Geometry & GLE0006.4.1 Interpret and describe the physical world with geometric
            create, and compose   Compose simple shapes to form larger shapes. For             Measurement ideas and vocabulary.
                   shapes.        example, "can you join these two triangles with full sides
                                  touching to make a rectangle?”


                                                                                                                                                                                                 3                     4




                                                                                                      -11
                                                                                                                                                                                       Introduced
Mathematics




                                                                                                                                                                                                        Taught


                                                                                                                                                                                                                 Tested
            Mathematics Common                                                                                     Correlation by Learning Expectations with Aligned Checks for
 Common                                       Mathematics Common Core Standard                    TN Standard
                Core Cluster                                                                                             Understanding and State Performance Indicators
Core Domain



                                                                                             4th Six Weeks

                                                                                                   Numbers &     GLE0006.2.4 Understand addition as "putting together" and
                                                                                                   Operations    subtraction as "breaking apart."                                                   4                     6
                                                                                                   Numbers &     GLE0006.2.5 Model the numbers 1 through 10 as sums or differences
                                                                                                   Operations    of different sets of whole numbers composing and decomposing
                                                                                                                 numbers.                                                                           4                     6
                                                                                                   Numbers &     CU0006.2.12 Model simple joining and separating situations with
                                                                                                   Operations    objects.                                                                           4                     6
                                                                                                   Numbers &     CU0006.2.15 Understand subtraction as "break apart" or "take away"
                                                                                                   Operations    and solve subtraction problems using numbers 1 through 10.
                                                                                                                                                                                                    4                     6
                                                                                                  Mathematical   GLE0006.1.3 Develop independent reasoning to communicate
                                                                                                   Processes     mathematical ideas and derive algorithms and/or formulas.                          4                     6
                                                                                                  Mathematical   GLE0006.1.8 Use technologies/manipulatives appropriately to develop
                                                                                                   Processes     understanding of mathematical algorithms, to facilitate problem
                                                                                                                 solving, and to create accurate and reliable models of mathematical
                                                                                                                 concepts.                                                                          4                     6
                                                                                                   Numbers &     GLE0006.2.4 Understand addition as "putting together" and
                                                                                                   Operations    subtraction as "breaking apart."                                                   4                     6
                                                                                                   Numbers &     GLE0006.2.5 Model the numbers 1 through 10 as sums or differences
                                                                                                   Operations    of different sets of whole numbers composing and decomposing
                                                                                                                 numbers.                                                                           4                     6
                                                                                                   Numbers &     CU0006.2.16 Model, demonstrate, and solve story problems that
                                                                                                   Operations    illustrate addition and subtraction.                                               4                     6
                                                                                                   Numbers &     CU0006.2.17 Understand that numbers can be represented by
                                                                                                   Operations    different groupings.                                                               4                     6
Operations & Understand addition as   OA.K.4 Understand addition as putting together and           Numbers &     GLE0006.2.5 Model the numbers 1 through 10 as sums or differences
 Algebraic    putting together and    adding to, and understand subtraction as taking apart and    Operations    of different sets of whole numbers composing and decomposing
 Thinking        adding to, and       taking from. For any number from 1 to 9, find the number                   numbers.
             understand subtraction   that makes 10 when added to the given number, e.g., by
              as taking apart and     using objects or drawings, and record the answer with a
                   taking from        drawing or equation.                                                                                                                                          4                     6
                                                                                                   Numbers &   CU0006.2.17 Understand that numbers can be represented by
                                                                                                   Operations  different groupings.                                                                 4                     6
                                                                                                  Mathematical GLE0006.1.8 Use technologies/manipulatives appropriately to develop
                                                                                                   Processes   understanding of mathematical algorithms, to facilitate problem
                                                                                                               solving, and to create accurate and reliable models of mathematical
                                                                                                               concepts.                                                                            4                     6
                                                                                                  Mathematical GLE0006.1.8 Use technologies/manipulatives appropriately to develop
                                                                                                   Processes understanding of mathematical algorithms, to facilitate problem
                                                                                                               solving, and to create accurate and reliable models of mathematical
                                                                                                               concepts.                                                                            4                     6
                                                                                                  Mathematical GLE0006.1.8 Use technologies/manipulatives appropriately to develop
                                                                                                   Processes understanding of mathematical algorithms, to facilitate problem
                                                                                                               solving, and to create accurate and reliable models of mathematical
                                                                                                               concepts.                                                                            4                     6



                                                                                                         -12
                                                                                                                                                       Introduced
Mathematics




                                                                                                                                                                        Taught


                                                                                                                                                                                 Tested
            Mathematics Common                                                      Correlation by Learning Expectations with Aligned Checks for
 Common                          Mathematics Common Core Standard   TN Standard
                Core Cluster                                                              Understanding and State Performance Indicators
Core Domain


                                                                    Mathematical GLE0006.1.8 Use technologies/manipulatives appropriately to develop
                                                                     Processes understanding of mathematical algorithms, to facilitate problem
                                                                                 solving, and to create accurate and reliable models of mathematical
                                                                                 concepts.                                                                          4                     6
                                                                    Mathematical GLE0006.1.8 Use technologies/manipulatives appropriately to develop
                                                                     Processes understanding of mathematical algorithms, to facilitate problem
                                                                                 solving, and to create accurate and reliable models of mathematical
                                                                                 concepts.                                                                          4                     6
                                                                    Mathematical GLE0006.1.8 Use technologies/manipulatives appropriately to develop
                                                                     Processes understanding of mathematical algorithms, to facilitate problem
                                                                                 solving, and to create accurate and reliable models of mathematical
                                                                                 concepts.                                                                          4                     6
                                                                    Mathematical GLE0006.1.8 Use technologies/manipulatives appropriately to develop
                                                                     Processes understanding of mathematical algorithms, to facilitate problem
                                                                                 solving, and to create accurate and reliable models of mathematical
                                                                                 concepts.                                                                          4                     6




                                                                           -13
                                                                                                                                                             Introduced
Mathematics




                                                                                                                                                                              Taught


                                                                                                                                                                                       Tested
            Mathematics Common                                                          Correlation by Learning Expectations with Aligned Checks for
 Common                          Mathematics Common Core Standard      TN Standard
                Core Cluster                                                                  Understanding and State Performance Indicators
Core Domain


                                                                    5th Six Weeks

                                                                       Mathematical   CU0006.1.1 Model addition and subtraction e.g., using a number
                                                                        Processes     chart, number line and/or concrete objects.                                         5                     6
                                                                       Mathematical   CU0006.1.1 Model addition and subtraction e.g., using a number
                                                                        Processes     chart, number line and/or concrete objects.                                         5                     6
                                                                       Mathematical   CU0006.1.1 Model addition and subtraction e.g., using a number
                                                                        Processes     chart, number line and/or concrete objects.                                         5                     6
                                                                       Mathematical   CU0006.1.1 Model addition and subtraction e.g., using a number
                                                                        Processes     chart, number line and/or concrete objects.                                         5                     6
                                                                       Mathematical   CU0006.1.2 Begin to develop the concept of estimation using concrete
                                                                        Processes     objects.                                                                            5                     6




                                                                              -14
                                                                                                                                                                     Introduced
Mathematics     Mathematics




                                                                                                                                                                                  Taught


                                                                                                                                                                                           Tested
                                                                                                     Correlation by Learning Expections with Aligned Checks for
 Common        Common Core              Mathematics Common Core Standard              TN Standard
                                                                                                          Understanding and State Performance Indicators
Core Domain       Cluster


Operations &     Represent and      OA.1.1 Represent and solve problems involving     Mathematical GLE0106.1.1 Use mathematical language, symbols, and
 Algebraic      solve problems      addition and subtraction. Use addition and         Processes definitions while developing mathematical reasoning.
 Thinking      involving addition   subtraction within 20 to solve word problems
                and subtraction     involving situations of adding to, taking from,
                                    putting together, taking apart, and comparing,                                                                                    1                    3
                                    with unknowns in all positions, e.g., by using
                                    objects, drawings, and equations with a symbol
                                    for the unknown number to represent the
                                    problem.
                                                                                      Mathematical GLE0106.1.2 Apply and adapt a variety of appropriate strategies
                                                                                       Processes to problem solving, including estimation, and reasonableness of      1                    5
                                                                                                   the solution.
                                                                                      Mathematical GLE0106.1.3 Develop independent reasoning to communicate
                                                                                       Processes mathematical ideas and derive algorithms and/or formulas.            1                    5

                                                                                      Mathematical GLE0106.1.4 Move flexibly between concrete and abstract
                                                                                       Processes representations of mathematical ideas in order to solve
                                                                                                                                                                      1                    5
                                                                                                   problems, model mathematical ideas, and communicate solution
                                                                                                   strategies.
                                                                                      Mathematical GLE0106.1.5 Use mathematical ideas and processes in different
                                                                                       Processes settings to formulate patterns, analyze graphs, set up and solve     1                    5
                                                                                                   problems and interpret solutions.
                                                                                      Mathematical GLE0106.1.6 Read and interpret the language of mathematics
                                                                                       Processes and use written/oral communication to express mathematical           1                    5
                                                                                                   ideas precisely.
                                                                                      Mathematical GLE0106.1.8 Use technologies/manipulatives appropriately to
                                                                                       Processes develop understanding of mathematical algorithms, to facilitate
                                                                                                                                                                      1                    5
                                                                                                   problem solving, and to create accurate and reliable models of
                                                                                                   mathematical concepts.
                                                                                      Mathematical CU0106.1.8 Recognize the "word clues" and mathematical
                                                                                                                                                                      1                    3
                                                                                       Processes symbols for addition and subtraction.
                                                                                      Mathematical CU0106.1.9 Use age-appropriate books, stories, and videos to
                                                                                                                                                                      1                    3
                                                                                       Processes convey ideas of mathematics.
                                                                                       Numbers & GLE0106.2.4 Use multiple representations including groups of
                                                                                                                                                                      1                    5
                                                                                       Operations ten to model two-digit addition and subtraction.
                                                                                       Numbers & GLE0106.2.3 Develop strategies for learning basic addition facts
                                                                                                                                                                      1                    3
                                                                                      Operationss and related subtraction facts.
                                                                                                                                                                       Introduced
Mathematics     Mathematics




                                                                                                                                                                                    Taught


                                                                                                                                                                                             Tested
                                                                                                     Correlation by Learning Expections with Aligned Checks for
 Common        Common Core              Mathematics Common Core Standard              TN Standard
                                                                                                          Understanding and State Performance Indicators
Core Domain       Cluster


                                                                                       Numbers &     CU0106.2.10 Use models such as discrete objects, connecting
                                                                                       Operations    cubes, and number lines to represent "part-whole," "adding to,"
                                                                                                     "taking away from," and "comparing to" situations to develop       1                    3
                                                                                                     understanding of the meaning of addition and subtraction.

                                                                                       Numbers &   CU0106.2.12 Use various models to develop strategies for
                                                                                                                                                                        1                    5
                                                                                       Operations  solving arithmetic problems.
                                                                                       Numbers &   CU0106.2.13 Solve problems that require addition and
                                                                                                                                                                        1                    5
                                                                                       Operations  subtraction of numbers through 100.
                                                                                        Algebra    GLE0106.3.1 Identify, describe, and extend simple number
                                                                                                   patterns to develop strategies for adding and subtracting whole      1                    5
                                                                                                   numbers.
                                                                                        Algebra    CU0106.3.5 Use various strategies to find unknowns in
                                                                                                                                                                        1                    5
                                                                                                   problems involving addition and subtraction.
Operations &     Represent and      OA.1.2 Represent and solve problems involving     Mathematical GLE0106.1.1 Use mathematical language, symbols, and
 Algebraic      solve problems      addition and subtraction. Solve word problems      Processes definitions while developing mathematical reasoning.
 Thinking      involving addition   that call for addition of three whole numbers
                and subtraction     whose sum is less than or equal to 20, e.g., by                                                                                     1                    3
                                    using objects, drawings, and equations with a
                                    symbol for the unknown number to represent the
                                    problem.
                                                                                      Mathematical 1.1.2 GLE0106.1.2 Apply and adapt a variety of appropriate
                                                                                       Processes strategies to problem solving, including estimation, and               1                    5
                                                                                                   reasonableness of the solution.
                                                                                      Mathematical GLE0106.1.3 Develop independent reasoning to communicate
                                                                                       Processes mathematical ideas and derive algorithms and/or formulas.              1                    5

                                                                                      Mathematical GLE0106.1.4 Move flexibly between concrete and abstract
                                                                                       Processes representations of mathematical ideas in order to solve
                                                                                                                                                                        1                    5
                                                                                                   problems, model mathematical ideas, and communicate solution
                                                                                                   strategies.
                                                                                      Mathematical GLE0106.1.5 Use mathematical ideas and processes in different
                                                                                       Processes settings to formulate patterns, analyze graphs, set up and solve       1                    5
                                                                                                   problems and interpret solutions.
                                                                                      Mathematical GLE0106.1.6 Read and interpret the language of mathematics
                                                                                       Processes and use written/oral communication to express mathematical             1                    5
                                                                                                   ideas precisely.
                                                                                                                                                                 Introduced
Mathematics      Mathematics




                                                                                                                                                                              Taught


                                                                                                                                                                                       Tested
                                                                                                  Correlation by Learning Expections with Aligned Checks for
 Common         Common Core           Mathematics Common Core Standard             TN Standard
                                                                                                       Understanding and State Performance Indicators
Core Domain        Cluster


                                                                                  Mathematical GLE0106.1.8 Use technologies/manipulatives appropriately to
                                                                                   Processes develop understanding of mathematical algorithms, to facilitate
                                                                                                                                                                  1                    5
                                                                                               problem solving, and to create accurate and reliable models of
                                                                                               mathematical concepts.
                                                                                  Mathematical CU0106.1.8 Recognize the "word clues" and mathematical
                                                                                                                                                                  1                    3
                                                                                   Processes symbols for addition and subtraction.
                                                                                  Mathematical CU0106.1.9 Use age-appropriate books, stories, and videos to
                                                                                                                                                                  1                    3
                                                                                   Processes convey ideas of mathematics.
                                                                                   Numbers & GLE0106.2.3 Develop strategies for learning basic addition facts
                                                                                                                                                                  1                    3
                                                                                   Operations and related subtraction facts.
                                                                                   Numbers & GLE0106.2.4 Use multiple representations including groups of
                                                                                                                                                                  1                    5
                                                                                   Operations ten to model two-digit addition and subtraction.
                                                                                   Numbers & CU0106.2.10 Use models such as discrete objects, connecting
                                                                                   Operations cubes, and number lines to represent "part-whole," "adding to,"
                                                                                               "taking away from," and "comparing to" situations to develop       1                    3
                                                                                               understanding of the meaning of addition and subtraction.

                                                                                   Numbers &   CU0106.2.12 Use various models to develop strategies for
                                                                                                                                                                  1                    5
                                                                                   Operations  solving arithmetic problems.
                                                                                   Numbers &   CU0106.2.13 Solve problems that require addition and
                                                                                                                                                                  1                    5
                                                                                   Operations  subtraction of numbers through 100.
                                                                                    Algebra    GLE0106.3.1 Identify, describe, and extend simple number
                                                                                               patterns to develop strategies for adding and subtracting whole    1                    5
                                                                                               numbers.
                                                                                    Algebra    CU0106.3.5 Use various strategies to find unknowns in
                                                                                                                                                                  1                    5
                                                                                               problems involving addition and subtraction.
Operations & Understand and OA.1.3 Understand and apply properties of             Mathematical GLE0106.1.1 Use mathematical language, symbols, and
 Algebraic   apply properties of operations and the relationship between addition Processes definitions while developing mathematical reasoning.
 Thinking    operations and the and subtraction. Apply properties of operations
                 relationship    as strategies to add and subtract. Examples: If
              between addition 8 + 3 = 11 is known, then 3 + 8 = 11 is also
               and subtraction known. (Commutative property of addition.) To                                                                                      1                    3
                                 add 2 + 6 + 4, the second two numbers can be
                                 added to make a ten, so 2 + 6 + 4 = 2 + 10 = 12.
                                 (Associative property of addition.) (Students
                                 need not use formal terms for these properties.)

                                                                                  Mathematical GLE0106.1.2 Apply and adapt a variety of appropriate strategies
                                                                                   Processes to problem solving, including estimation, and reasonableness of      1                    5
                                                                                               the solution.
                                                                                                                                                                   Introduced
Mathematics      Mathematics




                                                                                                                                                                                Taught


                                                                                                                                                                                         Tested
                                                                                                 Correlation by Learning Expections with Aligned Checks for
 Common         Common Core           Mathematics Common Core Standard            TN Standard
                                                                                                      Understanding and State Performance Indicators
Core Domain        Cluster


                                                                                  Mathematical GLE0106.1.3 Develop independent reasoning to communicate
                                                                                   Processes mathematical ideas and derive algorithms and/or formulas.              1                    5

                                                                                  Mathematical GLE0106.1.4 Move flexibly between concrete and abstract
                                                                                   Processes representations of mathematical ideas in order to solve
                                                                                                                                                                    1                    5
                                                                                               problems, model mathematical ideas, and communicate solution
                                                                                               strategies.
                                                                                  Mathematical GLE0106.1.5 Use mathematical ideas and processes in different
                                                                                   Processes settings to formulate patterns, analyze graphs, set up and solve       1                    5
                                                                                               problems and interpret solutions.
                                                                                  Mathematical GLE0106.1.6 Read and interpret the language of mathematics
                                                                                   Processes and use written/oral communication to express mathematical             1                    5
                                                                                               ideas precisely.
                                                                                  Mathematical GLE0106.1.8 Use technologies/manipulatives appropriately to
                                                                                   Processes develop understanding of mathematical algorithms, to facilitate
                                                                                                                                                                    1                    5
                                                                                               problem solving, and to create accurate and reliable models of
                                                                                               mathematical concepts.
                                                                                   Numbers & GLE0106.2.3 Develop strategies for learning basic addition facts
                                                                                                                                                                    1                    3
                                                                                   Operations and related subtraction facts.
                                                                                   Numbers & CU0106.2.8 Relate "counting on" and "counting back" to addition
                                                                                   Operations and subtraction and understand them as inverse operations.            1                    3

                                                                                   Numbers &     CU0106.2.10 Use models such as discrete objects, connecting
                                                                                   Operations    cubes, and number lines to represent "part-whole," "adding to,"
                                                                                                 "taking away from," and "comparing to" situations to develop       1                    3
                                                                                                 understanding of the meaning of addition and subtraction.

                                                                                   Numbers &   CU0106.2.12 Use various models to develop strategies for
                                                                                                                                                                    1                    5
                                                                                   Operations  solving arithmetic problems.
                                                                                   Numbers &   CU0106.2.13 Solve problems that require addition and
                                                                                                                                                                    1                    5
                                                                                   Operations  subtraction of numbers through 100.
                                                                                    Algebra    CU0106.3.9 Recognize that zero is the identity element for
                                                                                                                                                                    1                    3
                                                                                               addition.
Operations & Understand and OA.1.4 Understand and apply properties of             Mathematical GLE0106.1.1 Use mathematical language, symbols, and
 Algebraic   apply properties of operations and the relationship between addition Processes definitions while developing mathematical reasoning.
 Thinking    operations and the and subtraction. Understand subtraction as an
                                                                                                                                                                    1                    3
                 relationship    unknown-addend problem. For example,
              between addition subtract 10 – 8 by finding the number that
               and subtraction makes 10 when added to 8.
                                                                                                                                                                    Introduced
Mathematics     Mathematics




                                                                                                                                                                                 Taught


                                                                                                                                                                                          Tested
                                                                                                  Correlation by Learning Expections with Aligned Checks for
 Common        Common Core            Mathematics Common Core Standard             TN Standard
                                                                                                       Understanding and State Performance Indicators
Core Domain       Cluster


                                                                                   Mathematical GLE0106.1.3 Develop independent reasoning to communicate
                                                                                    Processes mathematical ideas and derive algorithms and/or formulas.              1                    5

                                                                                   Mathematical GLE0106.1.5 Use mathematical ideas and processes in different
                                                                                    Processes settings to formulate patterns, analyze graphs, set up and solve       1                    5
                                                                                                problems and interpret solutions.
                                                                                   Mathematical GLE0106.1.8 Use technologies/manipulatives appropriately to
                                                                                    Processes develop understanding of mathematical algorithms, to facilitate
                                                                                                                                                                     1                    5
                                                                                                problem solving, and to create accurate and reliable models of
                                                                                                mathematical concepts.
                                                                                    Numbers & GLE0106.2.3 Develop strategies for learning basic addition facts
                                                                                                                                                                     1                    3
                                                                                    Operations and related subtraction facts.
                                                                                    Numbers & CU0106.2.8 Relate "counting on" and "counting back" to addition
                                                                                    Operations and subtraction and understand them as inverse operations.            1                    3

                                                                                    Numbers &     CU0106.2.10 Use models such as discrete objects, connecting
                                                                                    Operations    cubes, and number lines to represent "part-whole," "adding to,"
                                                                                                  "taking away from," and "comparing to" situations to develop       1                    3
                                                                                                  understanding of the meaning of addition and subtraction.

                                                                                    Numbers &     CU0106.2.12 Use various models to develop strategies for
                                                                                    Operations    solving arithmetic problems.                                       1                    5

Operations &   Add and subtract   OA.1.5 Add and subtract within 20. Relate        Mathematical GLE0106.1.5 Use mathematical ideas and processes in different
 Algebraic        within 20       counting to addition and subtraction (e.g., by    Processes settings to formulate patterns, analyze graphs, set up and solve
 Thinking                         counting on 2 to add 2).                                      problems and interpret solutions.
                                                                                                                                                                     1                    5




                                                                                   Mathematical   GLE0106.1.1 Use mathematical language, symbols, and
                                                                                                                                                                     1                    3
                                                                                    Processes     definitions while developing mathematical reasoning.
                                                                                   Mathematical   GLE0106.1.3 Develop independent reasoning to communicate
                                                                                    Processes     mathematical ideas and derive algorithms and/or formulas.          1                    5

                                                                                   Mathematical GLE0106.1.4 Move flexibly between concrete and abstract
                                                                                    Processes representations of mathematical ideas in order to solve
                                                                                                                                                                     1                    5
                                                                                                problems, model mathematical ideas, and communicate solution
                                                                                                strategies.
                                                                                                                                                                       Introduced
Mathematics     Mathematics




                                                                                                                                                                                    Taught


                                                                                                                                                                                             Tested
                                                                                                     Correlation by Learning Expections with Aligned Checks for
 Common        Common Core            Mathematics Common Core Standard                TN Standard
                                                                                                          Understanding and State Performance Indicators
Core Domain       Cluster


                                                                                      Mathematical GLE0106.1.6 Read and interpret the language of mathematics
                                                                                       Processes and use written/oral communication to express mathematical             1                    5
                                                                                                   ideas precisely.
                                                                                      Mathematical GLE0106.1.8 Use technologies/manipulatives appropriately to
                                                                                       Processes develop understanding of mathematical algorithms, to facilitate
                                                                                                                                                                        1                    5
                                                                                                   problem solving, and to create accurate and reliable models of
                                                                                                   mathematical concepts.
                                                                                       Numbers & GLE0106.2.3 Develop strategies for learning basic addition facts
                                                                                                                                                                        1                    3
                                                                                       Operations and related subtraction facts.
                                                                                       Numbers & CU0106.2.8 Relate "counting on" and "counting back" to addition
                                                                                       Operations and subtraction and understand them as inverse operations.            1                    3

                                                                                       Numbers &     CU0106.2.10 Use models such as discrete objects, connecting
                                                                                       Operations    cubes, and number lines to represent "part-whole," "adding to,"
                                                                                                     "taking away from," and "comparing to" situations to develop       1                    3
                                                                                                     understanding of the meaning of addition and subtraction.

                                                                                       Numbers &     CU0106.2.12 Use various models to develop strategies for
                                                                                                                                                                        1                    5
                                                                                       Operations    solving arithmetic problems.
                                                                                       Numbers &     CU0106.2.13 Solve problems that require addition and
                                                                                                                                                                        1                    5
                                                                                       Operations    subtraction of numbers through 100.
Operations &   Add and subtract   OA.1.6 Add and subtract within 20. Add and          Mathematical   GLE0106.1.1 Use mathematical language, symbols, and
 Algebraic        within 20       subtract within 20, demonstrating fluency for        Processes     definitions while developing mathematical reasoning.
 Thinking                         addition and subtraction within 10. Use
                                  strategies such as counting on; making ten (e.g.,
                                  8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a
                                  number leading to a ten (e.g., 13 – 4 = 13 – 3 –
                                  1 = 10 – 1 = 9); using the relationship between                                                                                       1                    3
                                  addition and subtraction (e.g., knowing that 8 +
                                  4 = 12, one knows 12 – 8 = 4); and creating
                                  equivalent but easier or known sums (e.g.,
                                  adding 6 + 7 by creating the known equivalent 6
                                  + 6 + 1 = 12 + 1 = 13).

                                                                                      Mathematical GLE0106.1.3 Develop independent reasoning to communicate
                                                                                       Processes mathematical ideas and derive algorithms and/or formulas.              1                    5
                                                                                                                                                                      Introduced
Mathematics      Mathematics




                                                                                                                                                                                   Taught


                                                                                                                                                                                            Tested
                                                                                                   Correlation by Learning Expections with Aligned Checks for
 Common         Common Core           Mathematics Common Core Standard              TN Standard
                                                                                                        Understanding and State Performance Indicators
Core Domain        Cluster


                                                                                    Mathematical GLE0106.1.4 Move flexibly between concrete and abstract
                                                                                     Processes representations of mathematical ideas in order to solve
                                                                                                                                                                       1                    5
                                                                                                 problems, model mathematical ideas, and communicate solution
                                                                                                 strategies.
                                                                                    Mathematical GLE0106.1.5 Use mathematical ideas and processes in different
                                                                                     Processes settings to formulate patterns, analyze graphs, set up and solve        1                    5
                                                                                                 problems and interpret solutions.
                                                                                    Mathematical GLE0106.1.6 Read and interpret the language of mathematics
                                                                                     Processes and use written/oral communication to express mathematical              1                    5
                                                                                                 ideas precisely.
                                                                                    Mathematical GLE0106.1.8 Use technologies/manipulatives appropriately to
                                                                                     Processes develop understanding of mathematical algorithms, to facilitate
                                                                                                                                                                       1                    5
                                                                                                 problem solving, and to create accurate and reliable models of
                                                                                                 mathematical concepts.
                                                                                     Numbers & CU0106.2.7 Develop fluency with addition and subtraction facts
                                                                                                                                                                       1                    5
                                                                                     Operations of sums through ten.
                                                                                     Numbers & CU0106.2.8 Relate "counting on" and "counting back" to addition
                                                                                     Operations and subtraction and understand them as inverse operations.             1                    3

                                                                                     Numbers &     CU0106.2.10 Use models such as discrete objects, connecting
                                                                                     Operations    cubes, and number lines to represent "part-whole," "adding to,"
                                                                                                   "taking away from," and "comparing to" situations to develop        1                    3
                                                                                                   understanding of the meaning of addition and subtraction.

                                                                                     Numbers &     GLE0106.2.3 Develop strategies for learning basic addition facts
                                                                                                                                                                       1                    3
                                                                                     Operations    and related subtraction facts.
Operations & Work with addition OA.1.7 Work with addition and subtraction           Mathematical   GLE0106.1.1 Use mathematical language, symbols, and
 Algebraic    and subtraction equations. Understand the meaning of the               Processes     definitions while developing mathematical reasoning.
 Thinking       equations       equal sign, and determine if equations involving
                                addition and subtraction are true or false. For                                                                                        1                    3
                                example, which of the following equations are
                                true and which are false? 6 = 6, 7 = 8 – 1, 5 + 2
                                = 2 + 5, 4 + 1 = 5 + 2.
                                                                                    Mathematical GLE0106.1.3 Develop independent reasoning to communicate
                                                                                     Processes mathematical ideas and derive algorithms and/or formulas.               1                    5

                                                                                    Mathematical GLE0106.1.6 Read and interpret the language of mathematics
                                                                                     Processes and use written/oral communication to express mathematical              1                    5
                                                                                                 ideas precisely.
                                                                                                                                                                 Introduced
Mathematics      Mathematics




                                                                                                                                                                              Taught


                                                                                                                                                                                       Tested
                                                                                                Correlation by Learning Expections with Aligned Checks for
 Common         Common Core          Mathematics Common Core Standard            TN Standard
                                                                                                     Understanding and State Performance Indicators
Core Domain        Cluster


                                                                                  Numbers &     CU0106.2.12 Use various models to develop strategies for
                                                                                                                                                                  1                    5
                                                                                  Operations    solving arithmetic problems.
                                                                                  Numbers &     CU0106.2.5 Order and compare less than, greater than, or equal
                                                                                                                                                                  1                    5
                                                                                  Operations    to whole numbers to 100.
                                                                                 Mathematical   CU0106.1.8 Recognize the "word clues" and mathematical
                                                                                                                                                                  1                    3
                                                                                  Processes     symbols for addition and subtraction.
Operations & Work with addition OA.1.8 Work with addition and subtraction        Mathematical   GLE0106.1.1 Use mathematical language, symbols, and
 Algebraic    and subtraction equations. Determine the unknown whole              Processes     definitions while developing mathematical reasoning.
 Thinking       equations       number in an addition or subtraction equation
                                relating three whole numbers. For example,                                                                                        1                    3
                                determine the unknown number that makes the
                                equation true in each of the equations 8 + ? =
                                11, 5 = _ – 3, 6 + 6 = _.
                                                                                 Mathematical GLE0106.1.3 Develop independent reasoning to communicate
                                                                                  Processes mathematical ideas and derive algorithms and/or formulas.             1                    5

                                                                                 Mathematical GLE0106.1.4 Move flexibly between concrete and abstract
                                                                                  Processes representations of mathematical ideas in order to solve
                                                                                                                                                                  1                    5
                                                                                              problems, model mathematical ideas, and communicate solution
                                                                                              strategies.
                                                                                 Mathematical GLE0106.1.5 Use mathematical ideas and processes in different
                                                                                  Processes settings to formulate patterns, analyze graphs, set up and solve      1                    5
                                                                                              problems and interpret solutions.
                                                                                 Mathematical GLE0106.1.6 Read and interpret the language of mathematics
                                                                                  Processes and use written/oral communication to express mathematical            1                    5
                                                                                              ideas precisely.
                                                                                 Mathematical GLE0106.1.8 Use technologies/manipulatives appropriately to
                                                                                  Processes develop understanding of mathematical algorithms, to facilitate
                                                                                                                                                                  1                    5
                                                                                              problem solving, and to create accurate and reliable models of
                                                                                              mathematical concepts.
                                                                                  Numbers & GLE0106.2.3 Develop strategies for learning basic addition facts
                                                                                                                                                                  1                    3
                                                                                  Operations and related subtraction facts.
                                                                                  Numbers & CU0106.2.10 Use models such as discrete objects, connecting
                                                                                  Operations cubes, and number lines to represent "part-whole," "adding to,"
                                                                                              "taking away from," and "comparing to" situations to develop        1                    3
                                                                                              understanding of the meaning of addition and subtraction.

                                                                                  Numbers &     CU0106.2.12 Use various models to develop strategies for
                                                                                                                                                                  1                    5
                                                                                  Operations    solving arithmetic problems.
                                                                                                                                                                  Introduced
Mathematics      Mathematics




                                                                                                                                                                               Taught


                                                                                                                                                                                        Tested
                                                                                                  Correlation by Learning Expections with Aligned Checks for
 Common         Common Core           Mathematics Common Core Standard             TN Standard
                                                                                                       Understanding and State Performance Indicators
Core Domain        Cluster


                                                                                     Algebra    GLE0106.3.1 Identify, describe, and extend simple number
                                                                                                patterns to develop strategies for adding and subtracting whole    1                    5
                                                                                                numbers.
 Numbers & Extend the counting NBT.1.1 Extend the counting sequence. Count         Mathematical GLE0106.1.1 Use mathematical language, symbols, and
 Operations    sequence        to 120, starting at any number less than 120. In     Processes definitions while developing mathematical reasoning.
in Base Ten                    this range, read and write numerals and                                                                                             1                    3
                               represent a number of objects with a written
                               numeral.
                                                                                   Mathematical GLE0106.1.6 Read and interpret the language of mathematics
                                                                                    Processes and use written/oral communication to express mathematical           1                    5
                                                                                                ideas precisely.
                                                                                    Numbers & CU0106.2.1 Read and write numerals up to 100.
                                                                                                                                                                   1                    5
                                                                                    Operations
                                                                                    Numbers & CU0106.2.3 Count forward and backward by ones beginning
                                                                                                                                                                   1                    5
                                                                                    Operations with any number less than 100.
 Numbers & Extend the counting NBT.1.2 Understand place value. Understand          Mathematical GLE0106.1.1 Use mathematical language, symbols, and
 Operations    sequence.       that the two digits of a two-digit number            Processes definitions while developing mathematical reasoning.
in Base Ten                    represent amounts of tens and ones.
                               Understand the following as special cases:
                                 -- a. 10 can be thought of as a bundle of ten
                               ones — called a “ten.”
                                                                                                                                                                   1                    3
                                 -- b. The numbers from 11 to 19 are composed
                               of a ten and one, two, three, four, five, six,
                               seven, eight, or nine ones.
                                 -- c. The numbers 10, 20, 30, 40, 50, 60, 70,
                               80, 90 refer to one, two, three, four, five, six,
                               seven, eight, or nine tens (and 0 ones).
                                                                                   Mathematical GLE0106.1.8 Use technologies/manipulatives appropriately to
                                                                                    Processes develop understanding of mathematical algorithms, to facilitate
                                                                                                                                                                   1                    5
                                                                                                problem solving, and to create accurate and reliable models of
                                                                                                mathematical concepts.
                                                                                   Mathematical GLE0106.1.4 Move flexibly between concrete and abstract
                                                                                    Processes representations of mathematical ideas in order to solve
                                                                                                                                                                   1                    5
                                                                                                problems, model mathematical ideas, and communicate solution
                                                                                                strategies.
 Numbers & Extend the counting NBT.1.3 Understand place value. Compare two         Mathematical GLE0106.1.1 Use mathematical language, symbols, and
 Operations    sequence        two-digit numbers based on meanings of the           Processes definitions while developing mathematical reasoning.
                                                                                                                                                                   1                    3
in Base Ten                    tens and ones digits, recording the results of
                               comparisons with the symbols >, =, and <.
                                                                                                                                                                 Introduced
Mathematics     Mathematics




                                                                                                                                                                              Taught


                                                                                                                                                                                       Tested
                                                                                               Correlation by Learning Expections with Aligned Checks for
 Common        Common Core           Mathematics Common Core Standard            TN Standard
                                                                                                    Understanding and State Performance Indicators
Core Domain       Cluster


                                                                                 Mathematical GLE0106.1.6 Read and interpret the language of mathematics
                                                                                  Processes and use written/oral communication to express mathematical            1                    5
                                                                                              ideas precisely.
                                                                                  Numbers & GLE0106.2.2 Compare and order whole numbers to 100.
                                                                                                                                                                  1                    5
                                                                                  Operations
                                                                                  Numbers & CU0106.2.5 Order and compare less than, greater than, or equal
                                                                                                                                                                  1                    5
                                                                                  Operations to whole numbers to 100.
 Numbers & Extend the counting NBT.1.4 Use place value understanding and         Mathematical GLE0106.1.1 Use mathematical language, symbols, and
 Operations    sequence        properties of operations to add and subtract.      Processes definitions while developing mathematical reasoning.
in Base Ten                    Add within 100, including adding a two-digit
                               number and a one-digit number, and adding a
                               two-digit number and a multiple of 10, using
                               concrete models or drawings and strategies
                               based on place value, properties of operations,
                                                                                                                                                                  1                    3
                               and/or the relationship between addition and
                               subtraction; relate the strategy to a written
                               method and explain the reasoning used.
                               Understand that in adding two-digit numbers,
                               one adds tens and tens, ones and ones; and
                               sometimes it is necessary to compose a ten.

                                                                                 Mathematical GLE0106.1.8 Use technologies/manipulatives appropriately to
                                                                                  Processes develop understanding of mathematical algorithms, to facilitate
                                                                                                                                                                  1                    5
                                                                                              problem solving, and to create accurate and reliable models of
                                                                                              mathematical concepts.
                                                                                  Numbers & GLE0106.2.3 Develop strategies for learning basic addition facts
                                                                                                                                                                  1                    3
                                                                                  Operations and related subtraction facts.
                                                                                  Numbers & CU0106.2.8 Relate "counting on" and "counting back" to addition
                                                                                  Operations and subtraction and understand them as inverse operations.           1                    3

                                                                                  Numbers &    CU0106.2.10 Use models such as discrete objects, connecting
                                                                                  Operations   cubes, and number lines to represent "part-whole," "adding to,"
                                                                                               "taking away from," and "comparing to" situations to develop       1                    3
                                                                                               understanding of the meaning of addition and subtraction.

                                                                                  Numbers &    CU0106.2.12 Use various models to develop strategies for
                                                                                                                                                                  1                    5
                                                                                  Operations   solving arithmetic problems.
                                                                                   Algebra     GLE0106.3.1 Identify, describe, and extend simple number
                                                                                               patterns to develop strategies for adding and subtracting whole    1                    5
                                                                                               numbers.
                                                                                                                                              Introduced
Mathematics    Mathematics




                                                                                                                                                           Taught


                                                                                                                                                                    Tested
                                                                               Correlation by Learning Expections with Aligned Checks for
 Common       Common Core    Mathematics Common Core Standard   TN Standard
                                                                                    Understanding and State Performance Indicators
Core Domain      Cluster


                                                                  Algebra    GLE0106.3.2 Understand that addition and subtraction are
                                                                                                                                               1                    5
                                                                             inverse operations.
                                                                  Algebra    GLE0106.3.3 Extend the strategies for basic facts to include
                                                                                                                                               1                    5
                                                                             other properties of number and operations.
                                                                  Algebra    CU0106.3.6 Use objects to demonstrate the inverse relationship
                                                                                                                                               1                    5
                                                                             between addition and subtraction.
                                                                  Algebra    CU0106.3.7 Use the inverse relation between addition and
                                                                                                                                               1                    5
                                                                             subtraction to check arithmetic problems.
                                                                  Algebra    CU0106.3.9 Recognize that zero is the identity element for
                                                                                                                                               1                    3
                                                                             addition.
                                                                Mathematical GLE0106.1.1 Use mathematical language, symbols, and
                                                                                                                                               1                    5
                                                                 Processes definitions while developing mathematical reasoning.
                                                                Mathematical GLE0106.1.3 Develop independent reasoning to communicate
                                                                 Processes mathematical ideas and derive algorithms and/or formulas.           1                    5

                                                                Mathematical GLE0106.1.4 Move flexibly between concrete and abstract
                                                                 Processes representations of mathematical ideas in order to solve
                                                                                                                                               1                    5
                                                                             problems, model mathematical ideas, and communicate solution
                                                                             strategies.
                                                                Mathematical GLE0106.1.5 Use mathematical ideas and processes in different
                                                                 Processes settings to formulate patterns, analyze graphs, set up and solve    1                    5
                                                                             problems and interpret solutions.
                                                                Mathematical GLE0106.1.6 Read and interpret the language of mathematics
                                                                 Processes and use written/oral communication to express mathematical          1                    5
                                                                             ideas precisely.
                                                                Mathematical GLE0106.1.8 Use technologies/manipulatives appropriately to
                                                                 Processes develop understanding of mathematical algorithms, to facilitate
                                                                                                                                               1                    5
                                                                             problem solving, and to create accurate and reliable models of
                                                                             mathematical concepts.
                                                                 Numbers & GLE0106.2.3 Develop strategies for learning basic addition facts
                                                                                                                                               1                    3
                                                                 Operations and related subtraction facts.
                                                                 Numbers & CU0106.2.10 Use models such as discrete objects, connecting
                                                                 Operations cubes, and number lines to represent "part-whole," "adding to,"
                                                                             "taking away from," and "comparing to" situations to develop      1                    3
                                                                             understanding of the meaning of addition and subtraction.

                                                                 Numbers &    CU0106.2.12 Use various models to develop strategies for
                                                                                                                                               1                    5
                                                                 Operations   solving arithmetic problems.
                                                                 Numbers &    CU0106.2.13 Solve problems that require addition and
                                                                                                                                               1                    5
                                                                 Operations   subtraction of numbers through 100.
                                                                                                                                                                    Introduced
Mathematics      Mathematics




                                                                                                                                                                                 Taught


                                                                                                                                                                                          Tested
                                                                                                  Correlation by Learning Expections with Aligned Checks for
 Common         Common Core           Mathematics Common Core Standard             TN Standard
                                                                                                       Understanding and State Performance Indicators
Core Domain        Cluster


                                                                                     Algebra    GLE0106.3.1 Identify, describe, and extend simple number
                                                                                                patterns to develop strategies for adding and subtracting whole      1                    5
                                                                                                numbers.
                                                                                     Algebra    GLE0106.3.2 Understand that addition and subtraction are
                                                                                                                                                                     1                    5
                                                                                                inverse operations.
 Numbers & Extend the counting NBT.1.6 Use place value understanding and           Mathematical GLE0106.1.1 Use mathematical language, symbols, and
 Operations    sequence        properties of operations to add and subtract.        Processes definitions while developing mathematical reasoning.
in Base Ten                    Subtract multiples of 10 in the range 10-90 from
                               multiples of 10 in the range 10-90 (positive or
                               zero differences), using concrete models or
                                                                                                                                                                     1                    3
                               drawings and strategies based on place value,
                               properties of operations, and/or the relationship
                               between addition and subtraction; relate the
                               strategy to a written method and explain the
                               reasoning used.
                                                                                   Mathematical GLE0106.1.3 Develop independent reasoning to communicate
                                                                                    Processes mathematical ideas and derive algorithms and/or formulas.              1                    5

                                                                                   Mathematical GLE0106.1.4 Move flexibly between concrete and abstract
                                                                                    Processes representations of mathematical ideas in order to solve
                                                                                                                                                                     1                    5
                                                                                                problems, model mathematical ideas, and communicate solution
                                                                                                strategies.
                                                                                   Mathematical GLE0106.1.5 Use mathematical ideas and processes in different
                                                                                    Processes settings to formulate patterns, analyze graphs, set up and solve       1                    5
                                                                                                problems and interpret solutions.
                                                                                   Mathematical GLE0106.1.6 Read and interpret the language of mathematics
                                                                                    Processes and use written/oral communication to express mathematical             1                    5
                                                                                                ideas precisely.
                                                                                   Mathematical GLE0106.1.8 Use technologies/manipulatives appropriately to
                                                                                    Processes develop understanding of mathematical algorithms, to facilitate
                                                                                                                                                                     1                    5
                                                                                                problem solving, and to create accurate and reliable models of
                                                                                                mathematical concepts.
                                                                                    Numbers & CU0106.2.8 Relate "counting on" and "counting back" to addition
                                                                                    Operations and subtraction and understand them as inverse operations.            1                    3

                                                                                    Numbers &     CU0106.2.10 Use models such as discrete objects, connecting
                                                                                    Operations    cubes, and number lines to represent "part-whole," "adding to,"
                                                                                                  "taking away from," and "comparing to" situations to develop       1                    3
                                                                                                  understanding of the meaning of addition and subtraction.
                                                                                                                                                                       Introduced
Mathematics      Mathematics




                                                                                                                                                                                    Taught


                                                                                                                                                                                             Tested
                                                                                                     Correlation by Learning Expections with Aligned Checks for
 Common         Common Core             Mathematics Common Core Standard              TN Standard
                                                                                                          Understanding and State Performance Indicators
Core Domain        Cluster


                                                                                       Numbers &     CU0106.2.12 Use various models to develop strategies for
                                                                                                                                                                        1                    5
                                                                                       Operations    solving arithmetic problems.
                                                                                       Numbers &     CU0106.2.13 Solve problems that require addition and
                                                                                                                                                                        1                    5
                                                                                       Operations    subtraction of numbers through 100.
                                                                                        Algebra      GLE0106.3.1 Identify, describe, and extend simple number
                                                                                                     patterns to develop strategies for adding and subtracting whole    1                    5
                                                                                                     numbers.
                                                                                        Algebra      GLE0106.3.2 Understand that addition and subtraction are
                                                                                                                                                                        1                    5
                                                                                                     inverse operations.
                                                                                        Algebra      GLE0106.3.3 Extend the strategies for basic facts to include
                                                                                                                                                                        1                    5
                                                                                                     other properties of number and operations.
                                                                                        Algebra      CU0106.3.3 Use objects to illustrate the commutative property
                                                                                                     with basic facts and show that subtraction is not commutative.     1                    3

                                                                                        Algebra    CU0106.3.7 Use the inverse relation between addition and
                                                                                                                                                                        1                    5
                                                                                                   subtraction to check arithmetic problems.
                                                                                        Algebra    CU0106.3.9 Recognize that zero is the identity element for
                                                                                                                                                                        1                    3
                                                                                                   addition.
Measuremen       Measure lengths MD.1.1 Measure lengths indirectly and by             Mathematical GLE0106.1.1 Use mathematical language, symbols, and
  t & Data       indirectly and by iterating length units. Order three objects by      Processes definitions while developing mathematical reasoning.
                                                                                                                                                                        1                    5
              iterating length units length; compare the lengths of two objects
                                     indirectly by using a third object.
                                                                                      Mathematical GLE0106.1.8 Use technologies/manipulatives appropriately to
                                                                                       Processes develop understanding of mathematical algorithms, to facilitate
                                                                                                                                                                        1                    5
                                                                                                   problem solving, and to create accurate and reliable models of
                                                                                                   mathematical concepts.
                                                                                      Mathematical CU0106.1.9 Use age-appropriate books, stories, and videos to
                                                                                                                                                                        1                    3
                                                                                       Processes convey ideas of mathematics.
Measuremen     Measure lengths     MD.1.2 Measure lengths indirectly and by           Mathematical GLE0106.1.1 Use mathematical language, symbols, and
  t & Data     indirectly and by   iterating length units. Express the length of an    Processes definitions while developing mathematical reasoning.
                iterating length   object as a whole number of length units, by
                     units.        laying multiple copies of a shorter object (the
                                   length unit) end to end; understand that the
                                   length measurement of an object is the number                                                                                        1                    3
                                   of same-size length units that span it with no
                                   gaps or overlaps. Limit to contexts where the
                                   object being measured is spanned by a whole
                                   number of length units with no gaps or overlaps.
                                                                                                                                                                Introduced
Mathematics      Mathematics




                                                                                                                                                                             Taught


                                                                                                                                                                                      Tested
                                                                                                Correlation by Learning Expections with Aligned Checks for
 Common         Common Core           Mathematics Common Core Standard           TN Standard
                                                                                                     Understanding and State Performance Indicators
Core Domain        Cluster


                                                                                 Mathematical GLE0106.1.3 Develop independent reasoning to communicate
                                                                                  Processes mathematical ideas and derive algorithms and/or formulas.            1                    5

                                                                                  Mathematical GLE0106.1.4 Move flexibly between concrete and abstract
                                                                                   Processes representations of mathematical ideas in order to solve
                                                                                                                                                                 1                    5
                                                                                               problems, model mathematical ideas, and communicate solution
                                                                                               strategies.
                                                                                  Mathematical GLE0106.1.6 Read and interpret the language of mathematics
                                                                                   Processes and use written/oral communication to express mathematical          1                    5
                                                                                               ideas precisely.
                                                                                  Mathematical GLE0106.1.8 Use technologies/manipulatives appropriately to
                                                                                   Processes develop understanding of mathematical algorithms, to facilitate
                                                                                                                                                                 1                    5
                                                                                               problem solving, and to create accurate and reliable models of
                                                                                               mathematical concepts.
Measuremen Tell and write time MD.1.3 Tell and write time. Tell and write time in Mathematical GLE0106.1.1 Use mathematical language, symbols, and
  t & Data                     hours and half-hours using analog and digital       Processes definitions while developing mathematical reasoning.                1                    3
                               clocks.
                                                                                  Mathematical GLE0106.1.6 Read and interpret the language of mathematics
                                                                                   Processes and use written/oral communication to express mathematical          1                    5
                                                                                               ideas precisely.
                                                                                  Mathematical GLE0106.1.8 Use technologies/manipulatives appropriately to
                                                                                   Processes develop understanding of mathematical algorithms, to facilitate
                                                                                                                                                                 1                    5
                                                                                               problem solving, and to create accurate and reliable models of
                                                                                               mathematical concepts.
Measuremen  Represent and      MD.1.4 Represent and interpret data. Organize, Mathematical GLE0106.1.1 Use mathematical language, symbols, and
  t & Data   interpret data    represent, and interpret data with up to three      Processes definitions while developing mathematical reasoning.
                               categories; ask and answer questions about the
                               total number of data points, how many in each                                                                                     1                    3
                               category, and how many more or less are in one
                               category than in another.

                                                                                 Mathematical GLE0106.1.2 Apply and adapt a variety of appropriate strategies
                                                                                  Processes to problem solving, including estimation, and reasonableness of      1                    5
                                                                                              the solution.
                                                                                 Mathematical GLE0106.1.3 Develop independent reasoning to communicate
                                                                                  Processes mathematical ideas and derive algorithms and/or formulas.            1                    5
                                                                                                                                                                       Introduced
Mathematics      Mathematics




                                                                                                                                                                                    Taught


                                                                                                                                                                                             Tested
                                                                                                       Correlation by Learning Expections with Aligned Checks for
 Common         Common Core            Mathematics Common Core Standard                 TN Standard
                                                                                                            Understanding and State Performance Indicators
Core Domain        Cluster


                                                                                        Mathematical GLE0106.1.4 Move flexibly between concrete and abstract
                                                                                         Processes representations of mathematical ideas in order to solve
                                                                                                                                                                        1                    5
                                                                                                     problems, model mathematical ideas, and communicate solution
                                                                                                     strategies.
                                                                                        Mathematical GLE0106.1.5 Use mathematical ideas and processes in different
                                                                                         Processes settings to formulate patterns, analyze graphs, set up and solve     1                    5
                                                                                                     problems and interpret solutions.
                                                                                        Mathematical GLE0106.1.6 Read and interpret the language of mathematics
                                                                                         Processes and use written/oral communication to express mathematical           1                    5
                                                                                                     ideas precisely.
                                                                                        Mathematical GLE0106.1.8 Use technologies/manipulatives appropriately to
                                                                                         Processes develop understanding of mathematical algorithms, to facilitate
                                                                                                                                                                        1                    5
                                                                                                     problem solving, and to create accurate and reliable models of
                                                                                                     mathematical concepts.
 Geometry     Reason with shapes G.1.1 Reason with shapes and their attributes.         Mathematical GLE0106.1.1 Use mathematical language, symbols, and
              and their attributes Distinguish between defining attributes (e.g.,        Processes definitions while developing mathematical reasoning.
                                   triangles are closed and three-sided) versus non-
                                   defining attributes (e.g., color, orientation,                                                                                       1                    3
                                   overall size); for a wide variety of shapes; build
                                   and draw shapes to possess defining attributes.

                                                                                        Mathematical GLE0106.1.2 Apply and adapt a variety of appropriate strategies
                                                                                         Processes to problem solving, including estimation, and reasonableness of      1                    5
                                                                                                     the solution.
                                                                                        Mathematical GLE0106.1.3 Develop independent reasoning to communicate
                                                                                         Processes mathematical ideas and derive algorithms and/or formulas.            1                    5

                                                                                        Mathematical GLE0106.1.8 Use technologies/manipulatives appropriately to
                                                                                         Processes develop understanding of mathematical algorithms, to facilitate
                                                                                                                                                                        1                    5
                                                                                                     problem solving, and to create accurate and reliable models of
                                                                                                     mathematical concepts.
                                                                                                                                                                      Introduced
Mathematics      Mathematics




                                                                                                                                                                                   Taught


                                                                                                                                                                                            Tested
                                                                                                      Correlation by Learning Expections with Aligned Checks for
 Common         Common Core             Mathematics Common Core Standard               TN Standard
                                                                                                           Understanding and State Performance Indicators
Core Domain        Cluster


 Geometry     Reason with shapes G.1.2 Reason with shapes and their attributes.        Mathematical GLE0106.1.1 Use mathematical language, symbols, and
              and their attributes Compose two-dimensional shapes (rectangles,          Processes definitions while developing mathematical reasoning.
                                   squares, trapezoids, triangles, half-circles, and
                                   quarter-circles) or three-dimensional shapes
                                   (cubes, right rectangular prisms, right circular
                                                                                                                                                                       1                    3
                                   cones, and right circular cylinders) to create a
                                   composite shape, and compose new shapes
                                   from the composite shape. (Students do not
                                   need to learn formal names such as “right
                                   rectangular prism.”)
                                                                                       Mathematical GLE0106.1.2 Apply and adapt a variety of appropriate strategies
                                                                                        Processes to problem solving, including estimation, and reasonableness of      1                    5
                                                                                                    the solution.
                                                                                       Mathematical GLE0106.1.3 Develop independent reasoning to communicate
                                                                                        Processes mathematical ideas and derive algorithms and/or formulas.            1                    5

                                                                                       Mathematical GLE0106.1.4 Move flexibly between concrete and abstract
                                                                                        Processes representations of mathematical ideas in order to solve
                                                                                                                                                                       1                    5
                                                                                                    problems, model mathematical ideas, and communicate solution
                                                                                                    strategies.
                                                                                       Mathematical GLE0106.1.5 Use mathematical ideas and processes in different
                                                                                        Processes settings to formulate patterns, analyze graphs, set up and solve     1                    5
                                                                                                    problems and interpret solutions.
                                                                                       Mathematical GLE0106.1.6 Read and interpret the language of mathematics
                                                                                        Processes and use written/oral communication to express mathematical           1                    5
                                                                                                    ideas precisely.
                                                                                       Mathematical GLE0106.1.8 Use technologies/manipulatives appropriately to
                                                                                        Processes develop understanding of mathematical algorithms, to facilitate
                                                                                                                                                                       1                    5
                                                                                                    problem solving, and to create accurate and reliable models of
                                                                                                    mathematical concepts.
                                                                                       Mathematical GLE0106.1.1 Use mathematical language, symbols, and
                                                                                                                                                                       1                    5
                                                                                        Processes definitions while developing mathematical reasoning.
                                                                                       Mathematical GLE0106.1.2 Apply and adapt a variety of appropriate strategies
                                                                                        Processes to problem solving, including estimation, and reasonableness of      1                    5
                                                                                                    the solution.
                                                                                       Mathematical GLE0106.1.3 Develop independent reasoning to communicate
                                                                                        Processes mathematical ideas and derive algorithms and/or formulas.            1                    5
                                                                                                                                              Introduced
Mathematics    Mathematics




                                                                                                                                                           Taught


                                                                                                                                                                    Tested
                                                                               Correlation by Learning Expections with Aligned Checks for
 Common       Common Core    Mathematics Common Core Standard   TN Standard
                                                                                    Understanding and State Performance Indicators
Core Domain      Cluster


                                                                Mathematical GLE0106.1.4 Move flexibly between concrete and abstract
                                                                 Processes representations of mathematical ideas in order to solve
                                                                                                                                               1                    5
                                                                             problems, model mathematical ideas, and communicate solution
                                                                             strategies.
                                                                Mathematical GLE0106.1.6 Read and interpret the language of mathematics
                                                                 Processes and use written/oral communication to express mathematical          1                    5
                                                                             ideas precisely.
                                                                Mathematical GLE0106.1.5 Use mathematical ideas and processes in different
                                                                 Processes settings to formulate patterns, analyze graphs, set up and solve    1                    5
                                                                             problems and interpret solutions.
                                                                Mathematical GLE0106.1.8 Use technologies/manipulatives appropriately to
                                                                 Processes develop understanding of mathematical algorithms, to facilitate
                                                                                                                                               1                    5
                                                                             problem solving, and to create accurate and reliable models of
                                                                             mathematical concepts.
                                                                                                                                                   Introduced
Mathematics    Mathematics




                                                                                                                                                                Taught


                                                                                                                                                                         Tested
                                                                                Correlation by Learning Expections with Aligned Checks for
 Common       Common Core    Mathematics Common Core Standard   TN Standard
                                                                                     Understanding and State Performance Indicators
Core Domain      Cluster


                                                                2nd Six Weeks

                                                                  Algebra       GLE0106.3.2 Understand that addition and subtraction are
                                                                                                                                                    2                    5
                                                                                inverse operations.
                                                                  Algebra       CU0106.3.3 Use objects to illustrate the commutative property
                                                                                with basic facts and show that subtraction is not commutative.      2                    5

                                                                  Algebra       CU0106.3.6 Use objects to demonstrate the inverse relationship
                                                                                                                                                    2                    5
                                                                                between addition and subtraction.
                                                                  Algebra       CU0106.3.7 Use the inverse relation between addition and
                                                                                                                                                    2                    5
                                                                                subtraction to check arithmetic problems.
                                                                  Algebra       GRADE 2: CU0206.3.5 Understand and use the commutative
                                                                                                                                                    2                    5
                                                                                and associative properties of addition and multiplication.
                                                                  Algebra       GLE0106.3.3 Extend the strategies for basic facts to include
                                                                                                                                                    2                    5
                                                                                other properties of number and operations.
                                                                  Algebra       CU0106.3.5 Use various strategies to find unknowns in
                                                                                                                                                    2                    5
                                                                                problems involving addition and subtraction.
                                                                  Algebra       CU0106.3.6 Use objects to demonstrate the inverse relationship
                                                                                                                                                    2                    5
                                                                                between addition and subtraction.
                                                                  Algebra       CU0106.3.7 Use the inverse relation between addition and
                                                                                                                                                    2                    5
                                                                                subtraction to check arithmetic problems.
                                                                  Algebra       CU0106.3.4 Demonstrate understanding of the basic equation a
                                                                                + b = c by using objects to illustrate the number sentences fact    2                    5
                                                                                families associated with any particular sum.
                                                                  Algebra       GLE0106.3.3 Extend the strategies for basic facts to include
                                                                                                                                                    2                    5
                                                                                other properties of number and operations.
                                                                  Algebra       CU0106.3.5 Use various strategies to find unknowns in
                                                                                                                                                    2                    5
                                                                                problems involving addition and subtraction.
                                                                  Algebra       CU0106.3.4 Demonstrate understanding of the basic equation a
                                                                                + b = c by using objects to illustrate the number sentences fact    2                    5
                                                                                families associated with any particular sum.
                                                                  Algebra       CU0106.3.3 Use objects to illustrate the commutative property
                                                                                with basic facts and show that subtraction is not commutative.      2                    5

                                                                 Numbers &      CU0106.2.14 Use composition and decomposition of numbers to
                                                                                                                                                    2                    5
                                                                 Operations     identify and discuss patterns.
                                                                 Numbers &      CU0106.2.14 Use composition and decomposition of numbers to
                                                                                                                                                    2                    5
                                                                 Operations     identify and discuss patterns.
                                                                  Algebra       CU0106.3.6 Use objects to demonstrate the inverse relationship
                                                                                                                                                    2                    5
                                                                                between addition and subtraction.
                                                                                                                                                Introduced
Mathematics    Mathematics




                                                                                                                                                             Taught


                                                                                                                                                                      Tested
                                                                                 Correlation by Learning Expections with Aligned Checks for
 Common       Common Core    Mathematics Common Core Standard   TN Standard
                                                                                      Understanding and State Performance Indicators
Core Domain      Cluster


                                                                    Data,        GLE0106.5.1 Use various representations to display and
                                                                Probability, &   compare data.                                                   2                    5
                                                                  Statistics
                                                                    Data,        CU0106.5.4 Count and compare collected data.
                                                                Probability, &                                                                   2                    5
                                                                  Statistics
                                                                    Data,        GLE0106.5.1 Use various representations to display and
                                                                Probability, &   compare data.                                                   2                    5
                                                                  Statistics
                                                                    Data,        CU0106.5.4 Count and compare collected data.
                                                                Probability, &                                                                   2                    5
                                                                  Statistics
                                                                    Data,        CU0106.5.3 Display data using appropriate titles and labels.
                                                                Probability, &                                                                   2                    5
                                                                  Statistics
                                                                    Data,        CU0106.5.4 Count and compare collected data.
                                                                Probability, &                                                                   2                    5
                                                                  Statistics
                                                                    Data,        GLE0106.5.1 Use various representations to display and
                                                                Probability, &   compare data.                                                   2                    5
                                                                  Statistics
                                                                                                                                                                   Introduced
Mathematics     Mathematics




                                                                                                                                                                                Taught


                                                                                                                                                                                         Tested
                                                                                                 Correlation by Learning Expections with Aligned Checks for
 Common        Common Core           Mathematics Common Core Standard            TN Standard
                                                                                                      Understanding and State Performance Indicators
Core Domain       Cluster


                                                                                 3rd Six Weeks

                                                                                   Algebra    GLE0106.3.3 Extend the strategies for basic facts to include
                                                                                                                                                                    3                    5
                                                                                              other properties of number and operations.
                                                                                 Mathematical GLE0106.1.2 Apply and adapt a variety of appropriate strategies
                                                                                  Processes to problem solving, including estimation, and reasonableness of         3                    5
                                                                                              the solution.
                                                                                  Numbers & CU0106.2.3 Count forward and backward by ones beginning
                                                                                                                                                                    3                    5
                                                                                  Operations with any number less than 100.
                                                                                 Mathematical GLE0106.1.2 Apply and adapt a variety of appropriate strategies
                                                                                  Processes to problem solving, including estimation, and reasonableness of         3                    5
                                                                                              the solution.
                                                                                  Numbers & CU0106.2.14 Use composition and decomposition of numbers to
                                                                                                                                                                    3                    5
                                                                                  Operations identify and discuss patterns.
                                                                                  Numbers & CU0106.2.14 Use composition and decomposition of numbers to
                                                                                                                                                                    3                    5
                                                                                  Operations identify and discuss patterns.
                                                                                  Numbers & CU0106.2.17 Use the number line to create visual
                                                                                  Operations representations of sequences such as even numbers, tens,               3                    5
                                                                                              multiples of five.
 Numbers & Extend the counting NBT.1.5 Use place value understanding and           Algebra    CU0106.3.1 Find repeating patterns on the number line, addition
 Operations    sequence        properties of operations to add and subtract.                  table, and hundreds chart.
in Base Ten                    Given a two-digit number, mentally find 10 more                                                                                      3                    5
                               or 10 less than the number, without having to
                               count; explain the reasoning used.
                                                                                  Numbers &      CU0106.2.17 Use the number line to create visual
                                                                                  Operations     representations of sequences such as even numbers, tens,           3                    5
                                                                                                 multiples of five.
                                                                                  Numbers &      CU0106.2.4 Skip count by twos, fives, and tens.
                                                                                                                                                                    3                    5
                                                                                  Operations
                                                                                  Numbers &      CU0106.2.6 Recognize the place value of numbers tens, ones.
                                                                                                                                                                    3                    5
                                                                                  Operations
                                                                                  Numbers &      CU0106.2.17 Use the number line to create visual
                                                                                  Operations     representations of sequences such as even numbers, tens,           3                    5
                                                                                                 multiples of five.
                                                                                   Algebra       CU0106.3.1 Find repeating patterns on the number line, addition
                                                                                                                                                                    3                    5
                                                                                                 table, and hundreds chart.
                                                                                   Algebra       CU00106.3.2 Determine a reasonable next term in a given
                                                                                                                                                                    3                    5
                                                                                                 sequence and describe the rule.
                                                                                                                                             Introduced
Mathematics    Mathematics




                                                                                                                                                          Taught


                                                                                                                                                                   Tested
                                                                              Correlation by Learning Expections with Aligned Checks for
 Common       Common Core    Mathematics Common Core Standard   TN Standard
                                                                                   Understanding and State Performance Indicators
Core Domain      Cluster


                                                                 Geometry & GLE0106.4.1 Recognize, describe, and draw geometric figures.
                                                                Measurement                                                                   3                    5

                                                                 Geometry & CU0106.4.1 Recognize and describe similarities and differences
                                                                Measurement between 2-dimensional figures geometric attributes and            3                    5
                                                                            properties.
                                                                 Geometry & CU0106.4.2 Recognize 2- and 3-dimensional figures from
                                                                Measurement different perspectives and orientations.                          3                    5

                                                                 Geometry & GLE0106.4.2 Compose and decompose geometric shapes.
                                                                Measurement                                                                   3                    5

                                                                 Geometry & CU0106.4.3 Model part-whole relationships and properties of
                                                                Measurement plane and solid figures by combining two or more shapes to
                                                                                                                                              3                    5
                                                                            make a larger shape or by breaking apart an object into its
                                                                            smaller shapes.
                                                                 Geometry & CU0106.4.4 Identify 2-dimensional shapes as faces of 3-
                                                                Measurement dimensional figures.                                              3                    5

                                                                 Geometry & GLE0106.4.2 Compose and decompose geometric shapes.
                                                                Measurement                                                                   3                    5

                                                                 Geometry & GLE0106.4.1 Recognize, describe, and draw geometric figures.
                                                                Measurement                                                                   3                    5

                                                                 Geometry & CU0106.4.1 Recognize and describe similarities and differences
                                                                Measurement between 2-dimensional figures geometric attributes and            3                    5
                                                                            properties.
                                                                 Geometry & CU0106.4.2 Recognize 2- and 3-dimensional figures from
                                                                Measurement different perspectives and orientations.                          3                    5

                                                                 Geometry & CU0106.4.3 Model part-whole relationships and properties of
                                                                Measurement plane and solid figures by combining two or more shapes to
                                                                                                                                              3                    5
                                                                            make a larger shape or by breaking apart an object into its
                                                                            smaller shapes.
                                                                 Geometry & CU0106.4.4 Identify 2-dimensional shapes as faces of 3-
                                                                Measurement dimensional figures.                                              3                    5
                                                                                                                                             Introduced
Mathematics    Mathematics




                                                                                                                                                          Taught


                                                                                                                                                                   Tested
                                                                              Correlation by Learning Expections with Aligned Checks for
 Common       Common Core    Mathematics Common Core Standard   TN Standard
                                                                                   Understanding and State Performance Indicators
Core Domain      Cluster


                                                                 Geometry & GRADE K: CU0006.4.1 Identify, name, and describe a variety of
                                                                Measurement shapes i.e. circles, squares, triangles, rectangles, hexagons,    3                    5
                                                                            trapezoids shown in various positions.
                                                                 Geometry & GRADE K: CU0006.4.2 Identify, name, and describe three-
                                                                Measurement dimensional shapes such as sphere, cube, cone, cylinder.          3                    5

                                                                 Geometry & GLE0106.4.1 Recognize, describe, and draw geometric figures.
                                                                Measurement                                                                   3                    5

                                                                 Geometry & GLE0106.4.2 Compose and decompose geometric shapes.
                                                                Measurement                                                                   3                    5

                                                                 Geometry & CU0106.4.1 Recognize and describe similarities and differences
                                                                Measurement between 2-dimensional figures geometric attributes and            3                    5
                                                                            properties.
                                                                 Geometry & CU0106.4.2 Recognize 2- and 3-dimensional figures from
                                                                Measurement different perspectives and orientations.                          3                    5

                                                                 Geometry & CU0106.4.3 Model part-whole relationships and properties of
                                                                Measurement plane and solid figures by combining two or more shapes to
                                                                                                                                              3                    5
                                                                            make a larger shape or by breaking apart an object into its
                                                                            smaller shapes.
                                                                 Geometry & CU0106.4.4 Identify 2-dimensional shapes as faces of 3-
                                                                Measurement dimensional figures.                                              3                    5
                                                                                                                                                  Introduced
Mathematics    Mathematics




                                                                                                                                                               Taught


                                                                                                                                                                        Tested
                                                                                Correlation by Learning Expections with Aligned Checks for
 Common       Common Core    Mathematics Common Core Standard   TN Standard
                                                                                     Understanding and State Performance Indicators
Core Domain      Cluster



                                                                4th Six Weeks

                                                                Numbers &       CU0106.2.9 Add three single-digit numbers.
                                                                                                                                                   4                    6
                                                                Operations
                                                                Numbers &       CU0106.2.9 Add three single-digit numbers.
                                                                                                                                                   4                    5
                                                                Operations
                                                                Numbers &       GLE0106.2.4 Use multiple representations including groups of
                                                                Operations      ten to model two-digit addition and subtraction.
                                                                                                                                                   4                    5


                                                                 Numbers &      CU0106.2.9 Add three single-digit numbers.
                                                                                                                                                   4                    5
                                                                 Operations
                                                                 Numbers &      CU0106.2.15 Represent whole numbers between 10 and 100 in
                                                                                                                                                   4                    5
                                                                 Operations     groups of tens and ones.
                                                                Mathematical    GLE0106.1.2 Apply and adapt a variety of appropriate strategies
                                                                 Processes      to problem solving, including estimation, and reasonableness of    4                    5
                                                                                the solution.
                                                                Numbers &       GLE0106.2.1 Understand and use number notation and place
                                                                                                                                                   4                    6
                                                                Operations      value to 100.
                                                                Numbers &       GLE0106.2.1 Understand and use number notation and place
                                                                                                                                                   4                    5
                                                                Operations      value to 100.
                                                                Numbers &       CU0106.2.6 Recognize the place value of numbers tens, ones.
                                                                                                                                                   4                    5
                                                                Operations
                                                                Numbers &       CU0106.2.15 Represent whole numbers between 10 and 100 in
                                                                                                                                                   4                    5
                                                                Operations      groups of tens and ones.
                                                                Numbers &       GLE0106.2.1 Understand and use number notation and place
                                                                                                                                                   4                    5
                                                                Operations      value to 100.
                                                                Numbers &       CU0106.2.6 Recognize the place value of numbers tens, ones.
                                                                                                                                                   4                    5
                                                                Operations
                                                                Numbers &       CU0106.2.15 Represent whole numbers between 10 and 100 in
                                                                                                                                                   4                    5
                                                                Operations      groups of tens and ones.
                                                                Numbers &       CU0106.2.16 Represent whole numbers up to 100 on a number
                                                                                                                                                   4                    5
                                                                Operations      line.
                                                                Numbers &       GLE0106.2.1 Understand and use number notation and place
                                                                                                                                                   4                    5
                                                                Operations      value to 100.
                                                                Numbers &       GLE0106.2.4 Use multiple representations including groups of
                                                                                                                                                   4                    5
                                                                Operations      ten to model two-digit addition and subtraction.
                                                                Numbers &       CU0106.2.6 Recognize the place value of numbers tens, ones.
                                                                                                                                                   4                    5
                                                                Operations
                                                                                                                                                Introduced
Mathematics    Mathematics




                                                                                                                                                             Taught


                                                                                                                                                                      Tested
                                                                               Correlation by Learning Expections with Aligned Checks for
 Common       Common Core    Mathematics Common Core Standard   TN Standard
                                                                                    Understanding and State Performance Indicators
Core Domain      Cluster


                                                                 Numbers &   CU0106.2.15 Represent whole numbers between 10 and 100 in
                                                                                                                                                 4                    5
                                                                 Operations  groups of tens and ones.
                                                                  Algebra    CU0106.3.4 Demonstrate understanding of the basic equation a
                                                                             + b = c by using objects to illustrate the number sentences fact    4                    5
                                                                             families associated with any particular sum.
                                                                Mathematical GLE0106.1.2 Apply and adapt a variety of appropriate strategies
                                                                 Processes to problem solving, including estimation, and reasonableness of       4                    5
                                                                             the solution.
                                                                 Numbers & GLE0106.2.1 Understand and use number notation and place
                                                                                                                                                 4                    5
                                                                 Operations value to 100.
                                                                 Numbers & GLE0106.2.4 Use multiple representations including groups of
                                                                                                                                                 4                    5
                                                                 Operations ten to model two-digit addition and subtraction.
                                                                 Numbers & CU0106.2.6 Recognize the place value of numbers tens, ones.
                                                                                                                                                 4                    5
                                                                 Operations
                                                                 Numbers & CU0106.2.15 Represent whole numbers between 10 and 100 in
                                                                                                                                                 4                    5
                                                                 Operations groups of tens and ones.
                                                                Mathematical GLE0106.1.2 Apply and adapt a variety of appropriate strategies
                                                                 Processes to problem solving, including estimation, and reasonableness of       4                    5
                                                                             the solution.
                                                                 Numbers & GLE0106.2.1 Understand and use number notation and place
                                                                                                                                                 4                    5
                                                                 Operations value to 100.
                                                                 Numbers & GLE0106.2.2 Compare and order whole numbers to 100.
                                                                                                                                                 4                    5
                                                                 Operations
                                                                 Numbers & GLE0106.2.4 Use multiple representations including groups of
                                                                                                                                                 4                    5
                                                                 Operations ten to model two-digit addition and subtraction.
                                                                 Numbers & CU0106.2.15 Represent whole numbers between 10 and 100 in
                                                                                                                                                 4                    5
                                                                 Operations groups of tens and ones.
                                                                 Numbers & CU0106.2.16 Represent whole numbers up to 100 on a number
                                                                                                                                                 4                    5
                                                                 Operations line.
                                                                  Algebra    CU0106.3.4 Demonstrate understanding of the basic equation a
                                                                             + b = c by using objects to illustrate the number sentences fact    4                    5
                                                                             families associated with any particular sum.
                                                                 Geometry & GLE0106.4.3 Use non-standard units in linear measurement.
                                                                Measurement                                                                      4                    5

                                                                 Geometry & CU0106.4.5 Estimate and measure length using non-standard
                                                                Measurement units counting by using groups of tens and ones to represent         4                    5
                                                                            addition.
                                                                                                                                                      Introduced
Mathematics    Mathematics




                                                                                                                                                                   Taught


                                                                                                                                                                            Tested
                                                                                Correlation by Learning Expections with Aligned Checks for
 Common       Common Core    Mathematics Common Core Standard   TN Standard
                                                                                     Understanding and State Performance Indicators
Core Domain      Cluster


                                                                 Geometry & CU0106.4.6 Recognize the essential role of units in
                                                                Measurement measurement, and understand the difference between standard                4                    5
                                                                               and non-standard units.
                                                                 Geometry & CU0106.4.7 Understand and use comparative words such as
                                                                Measurement long, longer, longest; short, shorter, shortest; tall, taller, tallest;    4                    5
                                                                               high, higher, highest.
                                                                    Data,      CU0106.5.1 Represent measurements and discrete data using
                                                                Probability, & concrete objects, picture graphs, and bar graphs.                       4                    5
                                                                  Statistics
                                                                 Geometry & GLE0106.4.3 Use non-standard units in linear measurement.
                                                                Measurement                                                                            4                    5

                                                                 Geometry & CU0106.4.5 Estimate and measure length using non-standard
                                                                Measurement units counting by using groups of tens and ones to represent               4                    5
                                                                               addition.
                                                                 Geometry & CU0106.4.6 Recognize the essential role of units in
                                                                Measurement measurement, and understand the difference between standard                4                    5
                                                                               and non-standard units.
                                                                 Geometry & CU0106.4.7 Understand and use comparative words such as
                                                                Measurement long, longer, longest; short, shorter, shortest; tall, taller, tallest;    4                    5
                                                                               high, higher, highest.
                                                                    Data,      CU0106.5.1 Represent measurements and discrete data using
                                                                Probability, & concrete objects, picture graphs, and bar graphs.                       4                    5
                                                                  Statistics
                                                                    Data,      CU0106.5.1 Represent measurements and discrete data using
                                                                Probability, & concrete objects, picture graphs, and bar graphs.
                                                                  Statistics                                                                           4                    5
                                                                                                                                               Introduced
Mathematics    Mathematics




                                                                                                                                                            Taught


                                                                                                                                                                     Tested
                                                                                Correlation by Learning Expections with Aligned Checks for
 Common       Common Core    Mathematics Common Core Standard   TN Standard
                                                                                     Understanding and State Performance Indicators
Core Domain      Cluster



                                                                5th Six Weeks

                                                                 Numbers &      CU0106.2.13 Solve problems that require addition and
                                                                                                                                                5                    5
                                                                 Operations     subtraction of numbers through 100.
                                                                 Numbers &      CU0106.2.13 Solve problems that require addition and
                                                                                                                                                5                    5
                                                                 Operations     subtraction of numbers through 100.
                                                                 Numbers &      GLE0106.2.4 Use multiple representations including groups of
                                                                                                                                                5                    5
                                                                 Operations     ten to model two-digit addition and subtraction.
                                                                 Numbers &      CU0106.2.13 Solve problems that require addition and
                                                                                                                                                5                    5
                                                                 Operations     subtraction of numbers through 100.
                                                                Mathematical    GLE0106.1.7 Recognize the historical development of
                                                                 Processes      mathematics, mathematics in context, and the connections        5                    5
                                                                                between mathematics and the real world.
                                                                Mathematical    GLE0106.1.7 Recognize the historical development of
                                                                 Processes      mathematics, mathematics in context, and the connections        5                    5
                                                                                between mathematics and the real world.
                                                                Mathematical    GLE0106.1.7 Recognize the historical development of
                                                                 Processes      mathematics, mathematics in context, and the connections        5                    5
                                                                                between mathematics and the real world.
                                                                Mathematical    CU0106.1.2 Read and write time to the hour, half-hour, and
                                                                                                                                                5                    5
                                                                 Processes      quarter-hour.
                                                                Mathematical    CU0106.1.3 Compare units of time.
                                                                                                                                                5
                                                                 Processes
                                                                Mathematical GRADE K: CU0006.1.4 Tell time to the hour.
                                                                                                                                                5                    5
                                                                 Processes
                                                                Mathematical GLE0106.1.7 Recognize the historical development of
                                                                 Processes mathematics, mathematics in context, and the connections             5                    5
                                                                             between mathematics and the real world.
                                                                Mathematical GLE0106.1.7 Recognize the historical development of
                                                                 Processes mathematics, mathematics in context, and the connections             5                    5
                                                                             between mathematics and the real world.
                                                                Mathematical GLE0106.1.7 Recognize the historical development of
                                                                 Processes mathematics, mathematics in context, and the connections             5                    5
                                                                             between mathematics and the real world.
                                                                Mathematical CU0106.1.10 Match the spoken, written, concrete, and pictorial
                                                                 Processes representations of whole numbers, one- half, and one-fourth.         5                    5

                                                                 Numbers &      CU0106.2.11 Recognize the "part-whole" relationship in
                                                                                                                                                5                    5
                                                                 Operations     representations of basic fractions such as 1⁄2 and 1⁄4.
                                                                                                                                                                      Introduced
Mathematics      Mathematics




                                                                                                                                                                                   Taught


                                                                                                                                                                                            Tested
                                                                                                       Correlation by Learning Expections with Aligned Checks for
 Common         Common Core             Mathematics Common Core Standard                TN Standard
                                                                                                            Understanding and State Performance Indicators
Core Domain        Cluster


 Geometry     Reason with shapes G.1.3 Reason with shapes and their attributes.          Numbers &     CU0106.2.11 Recognize the "part-whole" relationship in
              and their attributes Partition circles and rectangles into two and four    Operations    representations of basic fractions such as 1⁄2 and 1⁄4.
                                   equal shares, describe the shares using the
                                   words halves, fourths, and quarters, and use the
                                   phrases half of, fourth of, and quarter of.                                                                                         5                    5
                                   Describe the whole as two of, or four of the
                                   shares. Understand for these examples that
                                   decomposing into more equal shares creates
                                   smaller shares.
                                                                                        Mathematical GLE0106.1.7 Recognize the historical development of
                                                                                         Processes mathematics, mathematics in context, and the connections            5                    5
                                                                                                     between mathematics and the real world.
                                                                                        Mathematical CU0106.1.10 Match the spoken, written, concrete, and pictorial
                                                                                         Processes representations of whole numbers, one- half, and one-fourth.        5                    5
                                                                                                                                                                                     Introduced
 Mathematics    Mathematics                                                                                               Correlation by Learning Expections with Aligned




                                                                                                                                                                                                  Taught


                                                                                                                                                                                                           Tested
Common Core    Common Core                       Mathematics Common Core Standard                        TN Standard      Checks for Understanding and State Performance
   Domain         Cluster                                                                                                                    Indicators


Operations &     Represent and      OA.2.1 Represent and solve problems involving addition and           Mathematical   GLE0206.1.1 Use mathematical language, symbols, and
 Algebraic      solve problems      subtraction. Use addition and subtraction within 100 to solve one-    Processes     definitions while developing mathematical reasoning.
 Thinking      involving addition   and two-step word problems involving situations of adding to,
                and subtraction.    taking from, putting together, taking apart, and comparing, with                                                                                  1                    5
                                    unknowns in all positions, e.g., by using drawings and equations
                                    with a symbol for the unknown number to represent the problem.

                                                                                                         Mathematical   GLE0206.1.4 Move flexibly between concrete and
                                                                                                          Processes     abstract representations of mathematical ideas in order to
                                                                                                                                                                                      1                    3
                                                                                                                        solve problems, model mathematical ideas, and
                                                                                                                        communicate solution strategies.
                                                                                                         Mathematical   GLE0206.1.5 Use mathematical ideas and processes in
                                                                                                          Processes     different settings to formulate patterns, analyze graphs,
                                                                                                                                                                                      1                    5
                                                                                                                        set up and solve problems and interpret solutions.

                                                                                                         Mathematical   GLE0206.1.6 Read and interpret the language of
                                                                                                          Processes     mathematics and use written/oral communication to             1                    5
                                                                                                                        express mathematical ideas precisely.
                                                                                                         Mathematical   GLE0206.1.8 Use technologies/manipulatives
                                                                                                          Processes     appropriately to develop understanding of mathematical
                                                                                                                        algorithms, to facilitate problem solving, and to create      1                    5
                                                                                                                        accurate and reliable models of mathematical concepts.

                                                                                                         Mathematical   CU0206.1.10 Develop a story problem that illustrates a
                                                                                                                                                                                      1                    4
                                                                                                          Processes     given addition or subtraction number sentence.
                                                                                                         Mathematical   CU0206.1.1 Use manipulatives to demonstrate addition
                                                                                                          Processes     and subtraction sentences written symbolically.               1                    3

                                                                                                         Mathematical   CU0206.1.15 Use age-appropriate books, stories, and
                                                                                                                                                                                      1                    6
                                                                                                          Processes     videos to convey ideas of mathematics.
                                                                                                          Numbers &     CU0206.2.6 Use various models such as number lines,
                                                                                                          Operations    pictures, and base-ten blocks to illustrate addition and      1                    3
                                                                                                                        subtraction.
                                                                                                         Numbers &      CU0206.2.11 Solve addition and subtraction problems in
                                                                                                                                                                                      1                    3
                                                                                                         Operations     context using various representations.
                                                                                                         Numbers &      CU0206.2.7 Develop fluency at recalling basic addition
                                                                                                                                                                                      1                    2
                                                                                                         Operations     facts and related subtraction facts.
                                                                                                          Algebra       GLE0206.3.3 Solve simple arithmetic problems using
                                                                                                                                                                                      1                    2
                                                                                                                        various methods.
                                                                                                          Numbers &     CU0206.2.7 Develop fluency at recalling basic addition
                                                                                                                                                                                      1                    4
                                                                                                          Operations    facts and related subtraction facts.
                                                                                                         Mathematical   GLE0206.1.6 Read and interpret the language of
                                                                                                          Processes     mathematics and use written/oral communication to             1                    5
                                                                                                                        express mathematical ideas precisely.
                                                                                                                                                                                 Introduced
 Mathematics     Mathematics                                                                                          Correlation by Learning Expections with Aligned




                                                                                                                                                                                              Taught


                                                                                                                                                                                                       Tested
Common Core     Common Core                    Mathematics Common Core Standard                      TN Standard      Checks for Understanding and State Performance
   Domain          Cluster                                                                                                               Indicators


                                                                                                     Numbers &      CU0206.2.1 Starting at any number, count by ones, twos,
                                                                                                                                                                                  1                    3
                                                                                                     Operations     fives, tens, and hundreds up to 1000.
                                                                                                     Numbers &      CU0206.2.12 Demonstrate skip counting on the number
                                                                                                     Operations     line and relate to repeated addition and multiplication.      1                    5

                                                                                                       Algebra      GLE0206.3.1 Develop pattern recognition.                      1                    2
                                                                                                       Algebra      GLE0206.3.3 Solve simple arithmetic problems using
                                                                                                                                                                                  1                    1
                                                                                                                    various methods.
                                                                                                       Algebra      CU0206.3.5 Understand and use the commutative and
                                                                                                                                                                                  1                    5
                                                                                                                    associative properties of addition and multiplication.
                                                                                                       Algebra      GRADE 1: CU0106.3.8 Determine whether a number is
                                                                                                                                                                                  1                    1
                                                                                                                    odd or even by pairing objects.
                                                                                                     Numbers &      GRADE 1: CU0106.2.17 Use the number line to create
                                                                                                     Operations     visual representations of sequences such as even              1                    1
                                                                                                                    numbers, tens, multiples of five.
                                                                                                     Numbers &      CU0206.2.1 Starting at any number, count by ones, twos,
                                                                                                                                                                                  1                    3
                                                                                                     Operations     fives, tens, and hundreds up to 1000.
                                                                                                      Algebra       GLE0206.3.1 Develop pattern recognition.                      1                    2
                                                                                                     Numbers &      CU0206.2.6 Use various models such as number lines,
                                                                                                     Operations     pictures, and base-ten blocks to illustrate addition and      1                    3
                                                                                                                    subtraction.
                                                                                                     Numbers &      CU0206.2.7 Develop fluency at recalling basic addition
                                                                                                                                                                                  1                    4
                                                                                                     Operations     facts and related subtraction facts.
                                                                                                      Algebra       GLE0206.3.3 Solve simple arithmetic problems using
                                                                                                                                                                                  1                    2
                                                                                                                    various methods.
 Numbers &      Understand place NBT.2.1 Understand place value. Understand that the three digits    Numbers &      GLE0206.1.1 Use mathematical language, symbols, and
Operations in        value       of a three-digit number represent amounts of hundreds, tens, and    Operations     definitions while developing mathematical reasoning.
  Base Ten                       ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand
                                 the following as special cases:
                                   -- a. 100 can be thought of as a bundle of ten tens — called a                                                                                 1                    3
                                 “hundred.”
                                   -- b. The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900
                                 refer to one, two, three, four, five, six, seven, eight, or nine
                                 hundreds (and 0 tens and 0 ones).
                                                                                                     Mathematical   GLE0206.1.4 Move flexibly between concrete and
                                                                                                      Processes     abstract representations of mathematical ideas in order to
                                                                                                                    solve problems, model mathematical ideas, and
                                                                                                                    communicate solution strategies.                              1                    3
                                                                                                                                                                                 Introduced
 Mathematics      Mathematics                                                                                          Correlation by Learning Expections with Aligned




                                                                                                                                                                                              Taught


                                                                                                                                                                                                       Tested
Common Core      Common Core                   Mathematics Common Core Standard                       TN Standard      Checks for Understanding and State Performance
   Domain           Cluster                                                                                                               Indicators


                                                                                                      Mathematical   GLE0206.1.5 Use mathematical ideas and processes in
                                                                                                       Processes     different settings to formulate patterns, analyze graphs,
                                                                                                                                                                                  1                    5
                                                                                                                     set up and solve problems and interpret solutions.

                                                                                                      Mathematical   GLE0206.1.6 Read and interpret the language of
                                                                                                       Processes     mathematics and use written/oral communication to            1                    5
                                                                                                                     express mathematical ideas precisely.
                                                                                                      Mathematical   GLE0206.1.8 Use technologies/manipulatives
                                                                                                       Processes     appropriately to develop understanding of mathematical
                                                                                                                     algorithms, to facilitate problem solving, and to create     1                    5
                                                                                                                     accurate and reliable models of mathematical concepts.

                                                                                                       Numbers &     CU0206.2.2 Read and write numbers up to 1000 using
                                                                                                                                                                                  1                    3
                                                                                                       Operations    numerals and up to 100 using words.
 Numbers &      Understand place NBT.2.2 Understand place value. Count within 1000; skip-count by     Mathematical   GLE0206.1.1 Use mathematical language, symbols, and
Operations in        value       5s, 10s, and 100s.                                                    Processes     definitions while developing mathematical reasoning.         1                    5
  Base Ten
                                                                                                      Mathematical   GLE0206.1.8 Use technologies/manipulatives
                                                                                                       Processes     appropriately to develop understanding of mathematical
                                                                                                                     algorithms, to facilitate problem solving, and to create     1                    5
                                                                                                                     accurate and reliable models of mathematical concepts.

                                                                                                      Mathematical   GLE0206.1.6 Read and interpret the language of
                                                                                                       Processes     mathematics and use written/oral communication to            1                    5
                                                                                                                     express mathematical ideas precisely.
                                                                                                       Numbers &     CU0206.2.1 Starting at any number, count by ones, twos,
                                                                                                                                                                                  1                    3
                                                                                                       Operations    fives, tens, and hundreds up to 1000.
 Numbers &      Understand place NBT.2.3 Understand place value. Read and write numbers to 1000       Mathematical   GLE0206.1.1 Use mathematical language, symbols, and
Operations in        value       using base-ten numerals, number names, and expanded form.             Processes     definitions while developing mathematical reasoning.         1                    5
  Base Ten
                                                                                                      Mathematical   GLE0206.1.6 Read and interpret the language of
                                                                                                       Processes     mathematics and use written/oral communication to            1                    5
                                                                                                                     express mathematical ideas precisely.
                                                                                                       Numbers &     CU0206.2.2 Read and write numbers up to 1000 using
                                                                                                                                                                                  1                    3
                                                                                                       Operations    numerals and up to 100 using words.
 Numbers &      Understand place NBT.2.4 Understand place value. Compare two three-digit numbers      Mathematical   GLE0206.1.1 Use mathematical language, symbols, and
Operations in        value       based on meanings of the hundreds, tens, and ones digits, using >,    Processes     definitions while developing mathematical reasoning.
                                                                                                                                                                                  1                    5
  Base Ten                       =, and < symbols to record the results of comparisons.

                                                                                                      Mathematical   GLE0206.1.6 Read and interpret the language of
                                                                                                       Processes     mathematics and use written/oral communication to            1                    5
                                                                                                                     express mathematical ideas precisely.
                                                                                                      Numbers &      CU0206.2.3 Locate and interpret numbers on a number
                                                                                                                                                                                  1                    1
                                                                                                      Operations     line.
                                                                                                                                                                                   Introduced
 Mathematics    Mathematics                                                                                             Correlation by Learning Expections with Aligned




                                                                                                                                                                                                Taught


                                                                                                                                                                                                         Tested
Common Core    Common Core                     Mathematics Common Core Standard                        TN Standard      Checks for Understanding and State Performance
   Domain         Cluster                                                                                                                  Indicators


 Numbers &     Use place value    NBT.2.5 Use place value understanding and properties of              Numbers &      GLE0206.1.1 Use mathematical language, symbols, and
Operations in understanding and   operations to add and subtract. Fluently add and subtract within     Operations     definitions while developing mathematical reasoning.
  Base Ten      properties of     100 using strategies based on place value, properties of                                                                                          1                    5
              operations to add   operations, and/or the relationship between addition and
                and subtract      subtraction.
                                                                                                       Numbers &      GLE0206.1.6 Read and interpret the language of
                                                                                                       Operations     mathematics and use written/oral communication to             1                    5
                                                                                                                      express mathematical ideas precisely.
                                                                                                       Numbers &      CU0206.1.1 Use manipulatives to demonstrate addition
                                                                                                       Operations     and subtraction sentences written symbolically.               1                    3

                                                                                                       Numbers &      CU0206.2.6 Use various models such as number lines,
                                                                                                       Operations     pictures, and base-ten blocks to illustrate addition and      1                    3
                                                                                                                      subtraction.
                                                                                                       Numbers &      CU0206.2.7 Develop fluency at recalling basic addition
                                                                                                                                                                                    1                    4
                                                                                                       Operations     facts and related subtraction facts.
                                                                                                        Algebra       CU0206.3.5 Understand and use the commutative and
                                                                                                                                                                                    1                    5
                                                                                                                      associative properties of addition and multiplication.
                                                                                                        Numbers &     GLE0206.2.2 Understand and use the base-ten
                                                                                                                                                                                    1                    3
                                                                                                        Operations    numeration system.
                                                                                                       Mathematical   GLE0206.1.1 Use mathematical language, symbols, and
                                                                                                        Processes     definitions while developing mathematical reasoning.          1                    3

                                                                                                       Mathematical   GLE0206.1.8 Use technologies/manipulatives
                                                                                                        Processes     appropriately to develop understanding of mathematical
                                                                                                                      algorithms, to facilitate problem solving, and to create      1                    3
                                                                                                                      accurate and reliable models of mathematical concepts.

 Numbers &     Use place value    NBT.2.7 Use place value understanding and properties of              Mathematical   GLE0206.1.1 Use mathematical language, symbols, and
Operations in understanding and   operations to add and subtract. Add and subtract within 1000,         Processes     definitions while developing mathematical reasoning.
  Base Ten      properties of     using concrete models or drawings and strategies based on place
              operations to add   value, properties of operations, and/or the relationship between
                and subtract      addition and subtraction; relate the strategy to a written method.                                                                                1                    3
                                  Understand that in adding or subtracting three-digit numbers, one
                                  adds or subtracts hundreds and hundreds, tens and tens, ones and
                                  ones; and sometimes it is necessary to compose or decompose
                                  tens or hundreds.
                                                                                                       Mathematical   GLE0206.1.4 Move flexibly between concrete and
                                                                                                        Processes     abstract representations of mathematical ideas in order to
                                                                                                                                                                                    1                    3
                                                                                                                      solve problems, model mathematical ideas, and
                                                                                                                      communicate solution strategies.
                                                                                                       Mathematical   CU0206.1.1 Use manipulatives to demonstrate addition
                                                                                                        Processes     and subtraction sentences written symbolically.               1                    3
                                                                                                                                                                                     Introduced
 Mathematics      Mathematics                                                                                             Correlation by Learning Expections with Aligned




                                                                                                                                                                                                  Taught


                                                                                                                                                                                                           Tested
Common Core      Common Core                    Mathematics Common Core Standard                         TN Standard      Checks for Understanding and State Performance
   Domain           Cluster                                                                                                                  Indicators


                                                                                                         Numbers &      GLE0206.2.1 Understand and use place value concepts
                                                                                                                                                                                      1                    3
                                                                                                         Operations     to 1000.
                                                                                                         Numbers &      GLE0206.2.2 Understand and use the base-ten
                                                                                                                                                                                      1                    3
                                                                                                         Operations     numeration system.
                                                                                                         Numbers &      GLE0206.2.3 Use efficient and accurate strategies to
                                                                                                         Operations     develop fluency with multi-digit addition and subtraction.    1                    6

                                                                                                         Numbers &      CU0206.2.6 Use various models such as number lines,
                                                                                                         Operations     pictures, and base-ten blocks to illustrate addition and      1                    6
                                                                                                                        subtraction.
                                                                                                         Numbers &      CU0206.2.8 Use efficient procedures, and understand
                                                                                                         Operations     why they work, to solve problems involving the addition
                                                                                                                        and subtraction of two- and three-digit whole numbers         1                    3
                                                                                                                        including those that require regrouping for addition only.

                                                                                                         Numbers &      CU0206.2.9 Apply appropriate methods to estimate and
                                                                                                         Operations     mentally calculate sums or differences with ones, tens,       1                    3
                                                                                                                        and hundreds.
 Numbers &     Use place value    NBT.2.8 Use place value understanding and properties of                Numbers &      CU0206.2.9 Apply appropriate methods to estimate and
Operations in understanding and   operations to add and subtract. Mentally add 10 or 100 to a given      Operations     mentally calculate sums or differences with ones, tens,
  Base Ten      properties of     number 100-900, and mentally subtract 10 or 100 from a given                          and hundreds.                                                 1                    6
              operations to add   number 100-900.
                and subtract
                                                                                                          Numbers &     GLE0206.2.1 Understand and use place value concepts
                                                                                                                                                                                      1                    3
                                                                                                          Operations    to 1000.
                                                                                                          Numbers &     GLE0206.2.2 Understand and use the base-ten
                                                                                                                                                                                      1                    6
                                                                                                          Operations    numeration system.
 Numbers &     Use place value    NBT.2.9 Use place value understanding and properties of                Mathematical   GLE0206.1.1 Use mathematical language, symbols, and
Operations in understanding and   operations to add and subtract. Explain why addition and                Processes     definitions while developing mathematical reasoning.
  Base Ten      properties of     subtraction strategies work, using place value and the properties of                                                                                1                    6
              operations to add   operations. (Explanations may be supported by drawings or
                and subtract      objects.)
                                                                                                          Numbers &     GLE0206.2.1 Understand and use place value concepts
                                                                                                                                                                                      1                    6
                                                                                                          Operations    to 1000.
Measurement    Measure and      MD.2.1 Measure and estimate lengths in standard units. Measure           Mathematical   GLE0206.1.1 Use mathematical language, symbols, and
  & Data    estimate lengths in the length of an object by selecting and using appropriate tools          Processes     definitions while developing mathematical reasoning.
                                                                                                                                                                                      1                    4
              standard units    such as rulers, yardsticks, meter sticks, and measuring tapes.

Measurement     Relate addition MD.2.5 Relate addition and subtraction to length. Use addition and       Mathematical   GLE0206.1.1 Use mathematical language, symbols, and
  & Data       and subtraction to subtraction within 100 to solve word problems involving lengths that    Processes     definitions while developing mathematical reasoning.
                    length        are given in the same units, e.g., by using drawings (such as                                                                                       1                    4
                                  drawings of rulers) and equations with a symbol for the unknown
                                  number to represent the problem.
                                                                                                                                                                                 Introduced
 Mathematics     Mathematics                                                                                         Correlation by Learning Expections with Aligned




                                                                                                                                                                                              Taught


                                                                                                                                                                                                       Tested
Common Core     Common Core                   Mathematics Common Core Standard                      TN Standard      Checks for Understanding and State Performance
   Domain          Cluster                                                                                                              Indicators


                                                                                                    Mathematical   GLE0206.1.6 Read and interpret the language of
                                                                                                     Processes     mathematics and use written/oral communication to              1                    5
                                                                                                                   express mathematical ideas precisely.
                                                                                                    Mathematical   GLE0206.1.8 Use technologies/manipulatives
                                                                                                     Processes     appropriately to develop understanding of mathematical
                                                                                                                   algorithms, to facilitate problem solving, and to create       1                    5
                                                                                                                   accurate and reliable models of mathematical concepts.

                                                                                                    Numbers &      CU0206.2.11 Solve addition and subtraction problems in
                                                                                                                                                                                  1                    3
                                                                                                    Operations     context using various representations.
                                                                                                     Algebra       GLE0206.3.3 Solve simple arithmetic problems using
                                                                                                                                                                                  1                    3
                                                                                                                   various methods.
                                                                                                      Algebra      GLE0206.3.4 Describe quantitative change.                      1                    6
Measurement     Relate addition MD.2.6 Relate addition and subtraction to length. Represent whole   Mathematical   GLE0206.1.1 Use mathematical language, symbols, and
  & Data       and subtraction to numbers as lengths from 0 on a number line diagram with equally    Processes     definitions while developing mathematical reasoning.
                    length        spaced points corresponding to the numbers 0, 1, 2, … , and                                                                                     1                    3
                                  represent whole-number sums and differences within 100 on a
                                  number line diagram.
                                                                                                    Mathematical   GLE0206.1.4 Move flexibly between concrete and
                                                                                                     Processes     abstract representations of mathematical ideas in order to
                                                                                                                   solve problems, model mathematical ideas, and                  1                    3
                                                                                                                   communicate solution strategies.

                                                                                                    Mathematical   GLE0206.1.7 Recognize the historical development of
                                                                                                     Processes     mathematics, mathematics in context, and the                   1                    3
                                                                                                                   connections between mathematics and the real world.
                                                                                                    Mathematical   GLE0206.1.8 Use technologies/manipulatives
                                                                                                     Processes     appropriately to develop understanding of mathematical
                                                                                                                   algorithms, to facilitate problem solving, and to create       1                    6
                                                                                                                   accurate and reliable models of mathematical concepts.

                                                                                                    Numbers &      CU0206.2.3 Locate and interpret numbers on a number
                                                                                                                                                                                  1                    3
                                                                                                    Operations     line.
                                                                                                    Numbers &      CU0206.2.6 Use various models such as number lines,
                                                                                                    Operations     pictures, and base-ten blocks to illustrate addition and       1                    3
                                                                                                                   subtraction.
                                                                                                    Numbers &      GLE0206.3.4 Describe quantitative change.
                                                                                                                                                                                  1                    6
                                                                                                    Operations
                                                                                                     Algebra       CU0206.3.8 Describe change in measures according to
                                                                                                                   quantitative criteria such as growing 2 inches in one year.    1                    6

                                                                                                    Numbers &      GRADE 1: CU0106.2.16 Represent whole numbers up to
                                                                                                                                                                                  1                    3
                                                                                                    Operations     100 on a number line.
                                                                                                                                                                                     Introduced
 Mathematics    Mathematics                                                                                               Correlation by Learning Expections with Aligned




                                                                                                                                                                                                  Taught


                                                                                                                                                                                                           Tested
Common Core    Common Core                    Mathematics Common Core Standard                           TN Standard      Checks for Understanding and State Performance
   Domain         Cluster                                                                                                                    Indicators


Measurement    Work with time   MD.2.7 Work with time and money. Tell and write time from analog         Mathematical   GLE0206.1.1 Use mathematical language, symbols, and
  & Data        and money       and digital clocks to the nearest five minutes, using a.m. and p.m.       Processes     definitions while developing mathematical reasoning.          1                    3

                                                                                                         Mathematical   GLE0206.1.8 Use technologies/manipulatives
                                                                                                          Processes     appropriately to develop understanding of mathematical
                                                                                                                        algorithms, to facilitate problem solving, and to create      1                    6
                                                                                                                        accurate and reliable models of mathematical concepts.

Measurement    Work with time   MD.2.8 Work with time and money. Solve word problems involving           Mathematical   GLE0206.1.1 Use mathematical language, symbols, and
  & Data        and money       dollar bills, quarters, dimes, nickels, and pennies, using $ (dollars)    Processes     definitions while developing mathematical reasoning.
                                and ¢ (cents) symbols appropriately. Example: If you have 2 dimes                                                                                     1                    6
                                and 3 pennies, how many cents do you have?

                                                                                                         Mathematical   GLE0206.1.7 Recognize the historical development of
                                                                                                          Processes     mathematics, mathematics in context, and the                  1                    6
                                                                                                                        connections between mathematics and the real world.
                                                                                                         Mathematical   GLE0206.1.8 Use technologies/manipulatives
                                                                                                          Processes     appropriately to develop understanding of mathematical
                                                                                                                        algorithms, to facilitate problem solving, and to create      1                    6
                                                                                                                        accurate and reliable models of mathematical concepts.

                                                                                                         Mathematical   CU0206.1.5 Count the value of a set of coins up to one
                                                                                                          Processes     dollar and use the transitive property of equality to         1                    3
                                                                                                                        recognize equivalent forms of values up to $1.00.
Measurement    Represent and    MD.2.9 Represent and interpret data. Generate measurement data           Mathematical   GLE0206.1.1 Use mathematical language, symbols, and
  & Data       interpret data   by measuring lengths of several objects to the nearest whole unit,        Processes     definitions while developing mathematical reasoning.
                                or by making repeated measurements of the same object. Show                                                                                           1                    6
                                the measurements by making a line plot, where the horizontal
                                scale is marked off in whole-number units.
                                                                                                         Mathematical   GLE0206.1.4 Move flexibly between concrete and
                                                                                                          Processes     abstract representations of mathematical ideas in order to
                                                                                                                                                                                      1                    6
                                                                                                                        solve problems, model mathematical ideas, and
                                                                                                                        communicate solution strategies.
                                                                                                         Mathematical   GLE0206.1.5 Use mathematical ideas and processes in
                                                                                                          Processes     different settings to formulate patterns, analyze graphs,
                                                                                                                                                                                      1                    6
                                                                                                                        set up and solve problems and interpret solutions.

                                                                                                         Mathematical   GLE0206.1.6 Read and interpret the language of
                                                                                                          Processes     mathematics and use written/oral communication to             1                    6
                                                                                                                        express mathematical ideas precisely.
                                                                                                         Mathematical   GLE0206.1.7 Recognize the historical development of
                                                                                                          Processes     mathematics, mathematics in context, and the                  1                    6
                                                                                                                        connections between mathematics and the real world.
                                                                                                                                                                                   Introduced
 Mathematics    Mathematics                                                                                               Correlation by Learning Expections with Aligned




                                                                                                                                                                                                Taught


                                                                                                                                                                                                         Tested
Common Core    Common Core                     Mathematics Common Core Standard                          TN Standard      Checks for Understanding and State Performance
   Domain         Cluster                                                                                                                    Indicators


                                                                                                         Mathematical   GLE0206.1.8 Use technologies/manipulatives
                                                                                                          Processes     appropriately to develop understanding of mathematical
                                                                                                                        algorithms, to facilitate problem solving, and to create    1                    6
                                                                                                                        accurate and reliable models of mathematical concepts.

                                                                                                         Numbers &      CU0206.2.3 Locate and interpret numbers on a number
                                                                                                         Operations     line.
                                                                                                                                                                                    1                    2



Measurement    Represent and     MD.2.10 Represent and interpret data. Draw a picture graph and a        Numbers &      GLE0206.1.1 Use mathematical language, symbols, and
  & Data       interpret data    bar graph (with single-unit scale) to represent a data set with up to   Operations     definitions while developing mathematical reasoning.
                                 four categories. Solve simple put-together, take-apart, and                                                                                        1                    5
                                 compare problems using information presented in a bar graph.

                                                                                                   Data, Probability, GRADE 1: CU0106.5.1 Represent measurements and
                                                                                                     & Statistics     discrete data using concrete objects, picture graphs, and     1                    1
                                                                                                                      bar graphs.
                                                                                                   Data, Probability, GRADE 1: CU0106.5.4 Count and compare collected
                                                                                                                                                                                    1                    1
                                                                                                     & Statistics     data.
 Geometry        Reason with    G.2.1 Reason with shapes and their attributes. Recognize and        Mathematical      GLE0206.1.1 Use mathematical language, symbols, and
               shapes and their draw shapes having specified attributes, such as a given number of    Processes       definitions while developing mathematical reasoning.
                  attributes    angles or a given number of equal faces. Identify triangles,
                                                                                                                                                                                    1                    6
                                quadrilaterals, pentagons, hexagons, and cubes. (Sizes are
                                compared directly or visually, not compared by measuring.)

                                                                                                         Mathematical   GLE0206.1.6 Read and interpret the language of
                                                                                                          Processes     mathematics and use written/oral communication to           1                    6
                                                                                                                        express mathematical ideas precisely.
                                                                                                         Mathematical   GLE0206.1.7 Recognize the historical development of
                                                                                                          Processes     mathematics, mathematics in context, and the                1                    6
                                                                                                                        connections between mathematics and the real world.
                                                                                                         Mathematical   GLE0206.1.8 Use technologies/manipulatives
                                                                                                          Processes     appropriately to develop understanding of mathematical
                                                                                                                        algorithms, to facilitate problem solving, and to create    1                    6
                                                                                                                        accurate and reliable models of mathematical concepts.

                                                                                                         Mathematical   GLE0206.1.1 Use mathematical language, symbols, and
                                                                                                          Processes     definitions while developing mathematical reasoning.        1                    6

                                                                                                         Mathematical   GLE0206.1.3 Develop independent reasoning to
                                                                                                          Processes     communicate mathematical ideas and derive algorithms        1                    6
                                                                                                                        and/or formulas.
                                                                                                                                                                                    Introduced
 Mathematics    Mathematics                                                                                              Correlation by Learning Expections with Aligned




                                                                                                                                                                                                 Taught


                                                                                                                                                                                                          Tested
Common Core    Common Core                     Mathematics Common Core Standard                         TN Standard      Checks for Understanding and State Performance
   Domain         Cluster                                                                                                                   Indicators


                                                                                                        Mathematical   GLE0206.1.5 Use mathematical ideas and processes in
                                                                                                         Processes     different settings to formulate patterns, analyze graphs,
                                                                                                                                                                                     1                    5
                                                                                                                       set up and solve problems and interpret solutions.

 Geometry        Reason with    G.2.3 Reason with shapes and their attributes. Partition circles and    Mathematical   GLE0206.1.1 Use mathematical language, symbols, and
               shapes and their rectangles into two, three, or four equal shares, describe the           Processes     definitions while developing mathematical reasoning.
                  attributes    shares using the words halves, thirds, half of, a third of, etc., and
                                                                                                                                                                                     1                    6
                                describe the whole as two halves, three thirds, four fourths.
                                Recognize that equal shares of identical wholes need not have the
                                same shape.
                                                                                                        Mathematical   GLE0206.1.4 Move flexibly between concrete and
                                                                                                         Processes     abstract representations of mathematical ideas in order to
                                                                                                                                                                                     1                    5
                                                                                                                       solve problems, model mathematical ideas, and
                                                                                                                       communicate solution strategies.
                                                                                                        Mathematical   GLE0206.1.7 Recognize the historical development of
                                                                                                         Processes     mathematics, mathematics in context, and the                  1                    6
                                                                                                                       connections between mathematics and the real world.
                                                                                                        Mathematical   GLE0206.1.8 Use technologies/manipulatives
                                                                                                         Processes     appropriately to develop understanding of mathematical
                                                                                                                       algorithms, to facilitate problem solving, and to create      1                    4
                                                                                                                       accurate and reliable models of mathematical concepts.
                                                                                                                                                      Introduced
 Mathematics    Mathematics                                                                  Correlation by Learning Expections with Aligned




                                                                                                                                                                   Taught


                                                                                                                                                                            Tested
Common Core    Common Core    Mathematics Common Core Standard              TN Standard      Checks for Understanding and State Performance
   Domain         Cluster                                                                                       Indicators



                                                                 2nd Six Weeks

                                                                            Mathematical   GLE0206.1.7 Recognize the historical development of
                                                                             Processes     mathematics, mathematics in context, and the                2                    5
                                                                                           connections between mathematics and the real world.
                                                                            Mathematical   CU0206.1.12 Write numbers and translate word clues to
                                                                                                                                                       2                    4
                                                                             Processes     number sentences and vice versa.
                                                                              Algebra      CU0206.3.1 Given rules, complete tables to reveal both
                                                                                                                                                       2                    4
                                                                                           arithmetic and geometric patterns.
                                                                                 Algebra   CU0206.3.2 Given a description, extend or find a missing
                                                                                                                                                       2                    4
                                                                                           term in a pattern or sequence.
                                                                                 Algebra   CU0206.3.1 Given rules, complete tables to reveal both
                                                                                                                                                       2                    4
                                                                                           arithmetic and geometric patterns.
                                                                                 Algebra   CU0206.3.2 Given a description, extend or find a missing
                                                                                                                                                       2                    4
                                                                                           term in a pattern or sequence.
                                                                                 Algebra   GLE0206.3.2 Extend knowledge of the properties of
                                                                                                                                                       2                    4
                                                                                           numbers and operations to multiplication.
                                                                                 Algebra   CU0206.3.1 Given rules, complete tables to reveal both
                                                                                                                                                       2                    4
                                                                                           arithmetic and geometric patterns.
                                                                            Numbers &      GLE0206.2.2 Understand and use the base-ten
                                                                            Operations     numeration system.
                                                                                                                                                       2                    4


                                                                            Numbers &      CU0206.2.4 Recognize that place-value notation
                                                                            Operations     represents the sums of multiples of powers of ten e.g.,     2                    4
                                                                                           853 as 8 hundreds + 5 tens + 3 ones.
                                                                            Numbers &      GLE0206.2.2 Understand and use the base-ten
                                                                            Operations     numeration system.

                                                                                                                                                       2                    4



                                                                            Numbers &      GLE0206.2.2 Understand and use the base-ten
                                                                                                                                                       2                    4
                                                                            Operations     numeration system.
                                                                            Numbers &      CU0206.2.4 Recognize that place-value notation
                                                                            Operations     represents the sums of multiples of powers of ten e.g.,     2                    4
                                                                                           853 as 8 hundreds + 5 tens + 3 ones.
                                                                            Numbers &      GLE0206.2.2 Understand and use the base-ten
                                                                                                                                                       2                    4
                                                                            Operations     numeration system.
                                                                                                                                             Introduced
 Mathematics    Mathematics                                                       Correlation by Learning Expections with Aligned




                                                                                                                                                          Taught


                                                                                                                                                                   Tested
Common Core    Common Core    Mathematics Common Core Standard   TN Standard      Checks for Understanding and State Performance
   Domain         Cluster                                                                            Indicators


                                                                 Numbers &      GLE0206.2.2 Understand and use the base-ten
                                                                 Operations     numeration system.
                                                                                                                                              2                    4



                                                                  Numbers &     GLE0206.2.1 Understand and use place value concepts
                                                                                                                                              2                    4
                                                                  Operations    to 1000.
                                                                 Mathematical   GLE0206.1.6 Read and interpret the language of
                                                                  Processes     mathematics and use written/oral communication to             2                    5
                                                                                express mathematical ideas precisely.
                                                                 Numbers &      GLE0206.2.3 Use efficient and accurate strategies to
                                                                 Operations     develop fluency with multi-digit addition and subtraction.    2                    6

                                                                  Numbers &     CU0206.2.11 Solve addition and subtraction problems in
                                                                                                                                              2                    3
                                                                  Operations    context using various representations.
                                                                 Mathematical   GLE0206.1.4 Move flexibly between concrete and
                                                                  Processes     abstract representations of mathematical ideas in order to
                                                                                                                                              2                    5
                                                                                solve problems, model mathematical ideas, and
                                                                                communicate solution strategies.
                                                                 Mathematical   GLE0206.1.6 Read and interpret the language of
                                                                  Processes     mathematics and use written/oral communication to             2                    4
                                                                                express mathematical ideas precisely.
                                                                 Numbers &      GLE0206.2.2 Understand and use the base-ten
                                                                                                                                              2                    4
                                                                 Operations     numeration system.
                                                                 Numbers &      CU0206.2.6 Use various models such as number lines,
                                                                 Operations     pictures, and base-ten blocks to illustrate addition and      2                    5
                                                                                subtraction.
                                                                 Numbers &      CU0206.2.8 Use efficient procedures, and understand
                                                                 Operations     why they work, to solve problems involving the addition
                                                                                and subtraction of two- and three-digit whole numbers         2                    4
                                                                                including those that require regrouping for addition only.

                                                                 Mathematical   GLE0206.1.8 Use technologies/manipulatives
                                                                  Processes     appropriately to develop understanding of mathematical
                                                                                algorithms, to facilitate problem solving, and to create      2                    5
                                                                                accurate and reliable models of mathematical concepts.

                                                                 Mathematical   GLE0206.1.7 Recognize the historical development of
                                                                  Processes     mathematics, mathematics in context, and the                  2                    5
                                                                                connections between mathematics and the real world.
                                                                 Numbers &      CU0206.2.6 Use various models such as number lines,
                                                                 Operations     pictures, and base-ten blocks to illustrate addition and      2                    4
                                                                                subtraction.
                                                                                                                                                                                      Introduced
 Mathematics    Mathematics                                                                                                Correlation by Learning Expections with Aligned




                                                                                                                                                                                                   Taught


                                                                                                                                                                                                            Tested
Common Core    Common Core                    Mathematics Common Core Standard                         TN Standard         Checks for Understanding and State Performance
   Domain         Cluster                                                                                                                     Indicators


                                                                                                        Numbers &        GLE0206.2.3 Use efficient and accurate strategies to
                                                                                                        Operations       develop fluency with multi-digit addition and subtraction.    2                    4

                                                                                                        Numbers &        GLE0206.1.6 Read and interpret the language of
                                                                                                        Operations       mathematics and use written/oral communication to             2                    5
                                                                                                                         express mathematical ideas precisely.
                                                                                                       Mathematical      GLE0206.1.8 Use technologies/manipulatives
                                                                                                        Processes        appropriately to develop understanding of mathematical
                                                                                                                         algorithms, to facilitate problem solving, and to create      2                    5
                                                                                                                         accurate and reliable models of mathematical concepts.

                                                                                                       Mathematical     GLE0206.1.7 Recognize the historical development of
                                                                                                        Processes       mathematics, mathematics in context, and the                   2                    5
                                                                                                                        connections between mathematics and the real world.
                                                                                                     Data, Probability, CU0206.5.2 Read, interpret, and create tables using tally
                                                                                                                                                                                       2                    3
                                                                                                       & Statistics     marks.
                                                                                                       Numbers &        CU0206.2.6 Use various models such as number lines,
                                                                                                        Operations      pictures, and base-ten blocks to illustrate addition and       2                    4
                                                                                                                        subtraction.
                                                                                                      Mathematical      GLE0206.1.2 Apply and adapt a variety of appropriate
                                                                                                        Processes       strategies to problem solving, including estimation, and       2                    4
                                                                                                                        reasonableness of the solution.
 Geometry        Reason with    G.2.2 Reason with shapes and their attributes. Partition a rectangle  Mathematical      GLE0206.1.4 Move flexibly between concrete and
               shapes and their into rows and columns of same-size squares and count to find the        Processes       abstract representations of mathematical ideas in order to
                                                                                                                                                                                       2                    5
                  attributes    total number of them.                                                                   solve problems, model mathematical ideas, and
                                                                                                                        communicate solution strategies.
                                                                                                                                                                                  Introduced
 Mathematics      Mathematics                                                                                          Correlation by Learning Expections with Aligned




                                                                                                                                                                                               Taught


                                                                                                                                                                                                        Tested
Common Core      Common Core                   Mathematics Common Core Standard                       TN Standard      Checks for Understanding and State Performance
   Domain           Cluster                                                                                                               Indicators



                                                                                          3rd Six Weeks

                                                                                                      Mathematical   GLE0206.1.2 Apply and adapt a variety of appropriate
                                                                                                       Processes     strategies to problem solving, including estimation, and      3                    5
                                                                                                                     reasonableness of the solution.
                                                                                                      Numbers &      GLE0206.2.3 Use efficient and accurate strategies to
                                                                                                      Operations     develop fluency with multi-digit addition and subtraction.    3                    5

                                                                                                          Algebra    CU0206.3.3 Record and study patterns in lists of
                                                                                                                                                                                   3                    5
                                                                                                                     numbers created by repeated addition or subtraction.
                                                                                                          Algebra    CU0206.3.3 Record and study patterns in lists of
                                                                                                                                                                                   3                    5
                                                                                                                     numbers created by repeated addition or subtraction.
                                                                                                      Numbers &      GLE0206.2.1 Understand and use place value concepts
                                                                                                                                                                                   3                    6
                                                                                                      Operations     to 1000.
                                                                                                      Numbers &      GLE0206.2.1 Understand and use place value concepts
                                                                                                                                                                                   3                    6
                                                                                                      Operations     to 1000.
                                                                                                      Numbers &      GLE0206.2.1 Understand and use place value concepts
                                                                                                                                                                                   3                    6
                                                                                                      Operations     to 1000.
                                                                                                      Numbers &      GLE0206.2.1 Understand and use place value concepts
                                                                                                                                                                                   3                    6
                                                                                                      Operations     to 1000.
                                                                                                      Numbers &      CU0206.2.5 Compare and order multi-digit numbers up to
                                                                                                                                                                                   3                    5
                                                                                                      Operations     1000.
                                                                                                      Numbers &      GLE0206.2.1 Understand and use place value concepts
                                                                                                                                                                                   3                    6
                                                                                                      Operations     to 1000.
                                                                                                      Numbers &      GLE0206.2.3 Use efficient and accurate strategies to
                                                                                                      Operations     develop fluency with multi-digit addition and subtraction.    3                    5

 Numbers &     Use place value NBT.2.6 Use place value understanding and properties of                Numbers &      CU0206.2.10 Add three two-digit numbers.
Operations in understanding and operations to add and subtract. Add up to four two-digit numbers      Operations
  Base Ten      properties of   using strategies based on place value and properties of operations.                                                                                3                    6
              operations to add
                and subtract
                                                                                                      Numbers &      GLE0206.2.3 Use efficient and accurate strategies to
                                                                                                      Operations     develop fluency with multi-digit addition and subtraction.    3                    5

                                                                                                       Numbers &     CU0206.2.10 Add three two-digit numbers.
                                                                                                                                                                                   3                    5
                                                                                                       Operations
                                                                                                      Mathematical   GLE0206.1.5 Use mathematical ideas and processes in
                                                                                                       Processes     different settings to formulate patterns, analyze graphs,
                                                                                                                                                                                   3                    5
                                                                                                                     set up and solve problems and interpret solutions.

                                                                                                      Numbers &      GLE0206.2.3 Use efficient and accurate strategies to
                                                                                                      Operations     develop fluency with multi-digit addition and subtraction.    3                    5
                                                                                                                                                                               Introduced
 Mathematics     Mathematics                                                                                       Correlation by Learning Expections with Aligned




                                                                                                                                                                                            Taught


                                                                                                                                                                                                     Tested
Common Core     Common Core                   Mathematics Common Core Standard                    TN Standard      Checks for Understanding and State Performance
   Domain          Cluster                                                                                                            Indicators


                                                                                                  Numbers &      CU0206.2.4 Recognize that place-value notation
                                                                                                  Operations     represents the sums of multiples of powers of ten e.g.,        3                    5
                                                                                                                 853 as 8 hundreds + 5 tens + 3 ones.
                                                                                                  Mathematical   GLE0206.1.2 Apply and adapt a variety of appropriate
                                                                                                   Processes     strategies to problem solving, including estimation, and       3                    5
                                                                                                                 reasonableness of the solution.
                                                                                                  Mathematical   GLE0206.1.7 Recognize the historical development of
                                                                                                   Processes     mathematics, mathematics in context, and the                   3                    5
                                                                                                                 connections between mathematics and the real world.
Measurement    Measure and      MD.2.3 Measure and estimate lengths in standard units. Estimate   Mathematical   GLE0206.1.2 Apply and adapt a variety of appropriate
  & Data    estimate lengths in lengths using units of inches, feet, centimeters, and meters.      Processes     strategies to problem solving, including estimation, and       3                    5
              standard units                                                                                     reasonableness of the solution.
                                                                                                    Algebra      CU0206.3.7 Find unknowns in number sentences and
                                                                                                                 problems involving addition, subtraction and                   3                    5
                                                                                                                 multiplication.
                                                                                                    Algebra      CU0206.3.8 Describe change in measures according to
                                                                                                                 quantitative criteria such as growing 2 inches in one year.    3                    5

                                                                                                  Numbers &      GLE0206.2.1 Understand and use place value concepts
                                                                                                                                                                                3                    5
                                                                                                  Operations     to 1000.
                                                                                                  Numbers &      CU0206.2.11 Solve addition and subtraction problems in
                                                                                                                                                                                3                    5
                                                                                                  Operations     context using various representations.
                                                                                                  Numbers &      CU0206.2.13 Relate patterns in skip counting to
                                                                                                                                                                                3                    5
                                                                                                  Operations     multiplication.
                                                                                                  Numbers &      GRADE 3: CU0306.2.7 Represent multiplication using
                                                                                                  Operations     various representations such as equal-size groups,
                                                                                                                                                                                3                    5
                                                                                                                 arrays, area models, and equal jumps on number lines.
                                                                                                                                                                                      Introduced
 Mathematics     Mathematics                                                                                              Correlation by Learning Expections with Aligned




                                                                                                                                                                                                   Taught


                                                                                                                                                                                                            Tested
Common Core     Common Core                      Mathematics Common Core Standard                         TN Standard     Checks for Understanding and State Performance
   Domain          Cluster                                                                                                                   Indicators



                                                                                              4th Six Weeks

                                                                                                          Numbers &     CU0206.2.8 Use efficient procedures, and understand
                                                                                                          Operations    why they work, to solve problems involving the addition
                                                                                                                        and subtraction of two- and three-digit whole numbers          4                    5
                                                                                                                        including those that require regrouping for addition only.

                                                                                                          Numbers &     CU0206.2.9 Apply appropriate methods to estimate and
                                                                                                          Operations    mentally calculate sums or differences with ones, tens,        4                    5
                                                                                                                        and hundreds.
                                                                                                              Algebra   CU0206.3.7 Find unknowns in number sentences and
                                                                                                                        problems involving addition, subtraction and                   4                    6
                                                                                                                        multiplication.
                                                                                                          Numbers &     CU0206.2.9 Apply appropriate methods to estimate and
                                                                                                          Operations    mentally calculate sums or differences with ones, tens,        4                    5
                                                                                                                        and hundreds.
Operations &   Work with equal      OA.2.3 Work with equal groups of objects to gain foundations for      Numbers &     GLE0206.2.4 Develop an initial understanding of
 Algebraic    groups of objects     multiplication. Determine whether a group of objects (up to 20) has   Operations    multiplication.
 Thinking    to gain foundations    an odd or even number of members, e.g., by pairing objects or                                                                                      4                    6
               for multiplication   counting them by 2s; write an equation to express an even number
                                    as a sum of two equal addends.
                                                                                                          Numbers &     CU0206.2.13 Relate patterns in skip counting to
                                                                                                                                                                                       4                    6
                                                                                                          Operations    multiplication.
                                                                                                           Algebra      GLE0206.3.2 Extend knowledge of the properties of
                                                                                                                                                                                       4                    6
                                                                                                                        numbers and operations to multiplication.
                                                                                                              Algebra   CU0206.3.4 Generalize the patterns resulting from the
                                                                                                                        addition, subtraction and multiplication of combinations of    4                    6
                                                                                                                        odd and even numbers.
Operations &   Work with equal      OA.2.4 Work with equal groups of objects to gain foundations for      Numbers &     GLE0206.2.4 Develop an initial understanding of
 Algebraic    groups of objects     multiplication. Use addition to find the total number of objects      Operations    multiplication.
 Thinking    to gain foundations    arranged in rectangular arrays with up to 5 rows and up to 5                                                                                       4                    6
               for multiplication   columns; write an equation to express the total as a sum of equal
                                    addends.
                                                                                                          Numbers &     CU0206.2.13 Relate patterns in skip counting to
                                                                                                                                                                                       4                    6
                                                                                                          Operations    multiplication.
                                                                                                          Numbers &     CU0206.2.9 Apply appropriate methods to estimate and
                                                                                                          Operations    mentally calculate sums or differences with ones, tens,        4                    5
                                                                                                                        and hundreds.
                                                                                                              Algebra   GLE0206.3.2 Extend knowledge of the properties of
                                                                                                                                                                                       4                    6
                                                                                                                        numbers and operations to multiplication.
                                                                                                                                             Introduced
 Mathematics    Mathematics                                                       Correlation by Learning Expections with Aligned




                                                                                                                                                          Taught


                                                                                                                                                                   Tested
Common Core    Common Core    Mathematics Common Core Standard   TN Standard      Checks for Understanding and State Performance
   Domain         Cluster                                                                            Indicators


                                                                 Numbers &      CU0206.2.8 Use efficient procedures, and understand
                                                                 Operations     why they work, to solve problems involving the addition
                                                                                and subtraction of two- and three-digit whole numbers         4                    5
                                                                                including those that require regrouping for addition only.

                                                                   Algebra      GLE0206.3.2 Extend knowledge of the properties of
                                                                                                                                              4                    6
                                                                                numbers and operations to multiplication.
                                                                   Algebra      CU0206.3.5 Understand and use the commutative and
                                                                                                                                              4                    6
                                                                                associative properties of addition and multiplication.
                                                                 Mathematical   GLE0206.1.6 Read and interpret the language of
                                                                  Processes     mathematics and use written/oral communication to             4                    6
                                                                                express mathematical ideas precisely.
                                                                 Mathematical   GLE0206.1.8 Use technologies/manipulatives
                                                                  Processes     appropriately to develop understanding of mathematical
                                                                                algorithms, to facilitate problem solving, and to create      4                    6
                                                                                accurate and reliable models of mathematical concepts.

                                                                 Numbers &      CU0206.2.4 Recognize that place-value notation
                                                                 Operations     represents the sums of multiples of powers of ten e.g.,       4                    6
                                                                                853 as 8 hundreds + 5 tens + 3 ones.
                                                                   Algebra      GLE0206.3.2 Extend knowledge of the properties of
                                                                                                                                              4                    6
                                                                                numbers and operations to multiplication.
                                                                   Algebra      CU0206.3.5 Understand and use the commutative and
                                                                                                                                              4                    6
                                                                                associative properties of addition and multiplication.
                                                                 Mathematical   GLE0206.1.3 Develop independent reasoning to
                                                                  Processes     communicate mathematical ideas and derive algorithms          4                    6
                                                                                and/or formulas.
                                                                 Mathematical   GLE0206.1.3 Develop independent reasoning to
                                                                  Processes     communicate mathematical ideas and derive algorithms          4                    6
                                                                                and/or formulas.
                                                                 Mathematical   GLE0206.1.3 Develop independent reasoning to
                                                                  Processes     communicate mathematical ideas and derive algorithms          4                    6
                                                                                and/or formulas.
                                                                 Mathematical   GLE0206.1.4 Move flexibly between concrete and
                                                                  Processes     abstract representations of mathematical ideas in order to
                                                                                solve problems, model mathematical ideas, and                 4                    6
                                                                                communicate solution strategies.

                                                                 Geometry &     GLE0206.4.2 Understand the meaning and process of
                                                                                                                                              4                    6
                                                                 Measurement    linear measurement.
                                                                 Geometry &     GLE0206.4.3 Add, subtract, compare, compute and
                                                                                                                                              4                    6
                                                                 Measurement    estimate linear measurements.
                                                                                                                                                                                     Introduced
 Mathematics       Mathematics                                                                                            Correlation by Learning Expections with Aligned




                                                                                                                                                                                                  Taught


                                                                                                                                                                                                           Tested
Common Core       Common Core                    Mathematics Common Core Standard                        TN Standard      Checks for Understanding and State Performance
   Domain            Cluster                                                                                                                 Indicators


                                                                                                         Geometry &     CU0206.4.4 Estimate, measure, and calculate length to
                                                                                                         Measurement    the nearest unit: meter, centimeter, yard, foot, and inch.    4                    6

                                                                                                         Geometry &     CU0206.4.5 Use rulers to measure the lengths of sides
                                                                                                         Measurement    and diagonals of common 2-dimensional figures and             4                    6
                                                                                                                        polygons.
                                                                                                         Geometry &     CU0206.4.6 Understand the inverse relationship between
                                                                                                         Measurement    the size of a unit and the number of units used in a
                                                                                                                                                                                      4                    6
                                                                                                                        particular measurement the smaller the unit, the more
                                                                                                                        iterations needed to cover the length.
Measurement    Measure and      MD.2.2 Measure and estimate lengths in standard units. Measure           Geometry &     CU0206.4.5 Use rulers to measure the lengths of sides
  & Data    estimate lengths in the length of an object twice, using length units of different lengths   Measurement    and diagonals of common 2-dimensional figures and
                                                                                                                                                                                      4                    6
              standard units    for the two measurements; describe how the two measurements                             polygons.
                                relate to the size of the unit chosen.
                                                                                                         Geometry &     CU0206.4.6 Understand the inverse relationship between
                                                                                                         Measurement    the size of a unit and the number of units used in a
                                                                                                                                                                                      4                    6
                                                                                                                        particular measurement the smaller the unit, the more
                                                                                                                        iterations needed to cover the length.
                                                                                                         Geometry &     GLE0206.4.2 Understand the meaning and process of
                                                                                                                                                                                      4                    6
                                                                                                         Measurement    linear measurement.
                                                                                                         Geometry &     GLE0206.4.3 Add, subtract, compare, compute and
                                                                                                                                                                                      4                    6
                                                                                                         Measurement    estimate linear measurements.
                                                                                                         Geometry &     CU0206.4.4 Estimate, measure, and calculate length to
                                                                                                         Measurement    the nearest unit: meter, centimeter, yard, foot, and inch.    4                    6

                                                                                                         Mathematical   GLE0206.1.2 Apply and adapt a variety of appropriate
                                                                                                          Processes     strategies to problem solving, including estimation, and      4                    6
                                                                                                                        reasonableness of the solution.
                                                                                                         Geometry &     GLE0206.4.2 Understand the meaning and process of
                                                                                                                                                                                      4                    6
                                                                                                         Measurement    linear measurement.
                                                                                                         Geometry &     GLE0206.4.3 Add, subtract, compare, compute and
                                                                                                                                                                                      4                    6
                                                                                                         Measurement    estimate linear measurements.
                                                                                                         Geometry &     CU0206.4.4 Estimate, measure, and calculate length to
                                                                                                         Measurement    the nearest unit: meter, centimeter, yard, foot, and inch.    4                    6

Measurement    Measure and      MD.2.4 Measure and estimate lengths in standard units. Measure           Mathematical   GLE0206.1.2 Apply and adapt a variety of appropriate
  & Data    estimate lengths in to determine how much longer one object is than another,                  Processes     strategies to problem solving, including estimation, and
                                                                                                                                                                                      4                    6
              standard units    expressing the length difference in terms of a standard length unit.                    reasonableness of the solution.

                                                                                                         Mathematical   GLE0206.1.2 Apply and adapt a variety of appropriate
                                                                                                          Processes     strategies to problem solving, including estimation, and      4                    6
                                                                                                                        reasonableness of the solution.
                                                                                                                                                 Introduced
 Mathematics    Mathematics                                                           Correlation by Learning Expections with Aligned




                                                                                                                                                              Taught


                                                                                                                                                                       Tested
Common Core    Common Core    Mathematics Common Core Standard     TN Standard        Checks for Understanding and State Performance
   Domain         Cluster                                                                                Indicators


                                                                  Mathematical      GLE0206.1.4 Move flexibly between concrete and
                                                                   Processes        abstract representations of mathematical ideas in order to
                                                                                                                                                  4                    6
                                                                                    solve problems, model mathematical ideas, and
                                                                                    communicate solution strategies.
                                                                  Mathematical      GLE0206.1.5 Use mathematical ideas and processes in
                                                                   Processes        different settings to formulate patterns, analyze graphs,
                                                                                                                                                  4                    6
                                                                                    set up and solve problems and interpret solutions.

                                                                    Numbers &       GLE0206.2.3 Use efficient and accurate strategies to
                                                                    Operations      develop fluency with multi-digit addition and subtraction.    4                    6

                                                                  Geometry &        GLE0206.4.2 Understand the meaning and process of
                                                                                                                                                  4                    6
                                                                  Measurement       linear measurement.
                                                                  Geometry &        GLE0206.4.3 Add, subtract, compare, compute and
                                                                                                                                                  4                    6
                                                                  Measurement       estimate linear measurements.
                                                                  Geometry &        CU0206.4.4 Estimate, measure, and calculate length to
                                                                  Measurement       the nearest unit: meter, centimeter, yard, foot, and inch.    4                    6

                                                                  Geometry &        CU0206.4.5 Use rulers to measure the lengths of sides
                                                                  Measurement       and diagonals of common 2-dimensional figures and             4                    6
                                                                                    polygons.
                                                                  Geometry &        GLE0206.4.3 Add, subtract, compare, compute and
                                                                                                                                                  4                    6
                                                                  Measurement       estimate linear measurements.
                                                                  Geometry &        CU0206.4.4 Estimate, measure, and calculate length to
                                                                  Measurement       the nearest unit: meter, centimeter, yard, foot, and inch.    4                    6

                                                                  Mathematical      GLE0206.1.7 Recognize the historical development of
                                                                   Processes        mathematics, mathematics in context, and the                  4                    6
                                                                                    connections between mathematics and the real world.
                                                                  Mathematical      CU0206.1.1 Read and write time up to five-minute
                                                                                                                                                  4                    6
                                                                   Processes        intervals.
                                                                  Mathematical      CU0206.1.3 Use strategies to make estimates of time.
                                                                                                                                                  4                    6
                                                                   Processes
                                                                  Mathematical      CU0206.1.4 Solve problems involving elapsed time in
                                                                                                                                                  4                    6
                                                                   Processes        hour and half-hour intervals.
                                                                  Mathematical      GLE0206.1.2 Apply and adapt a variety of appropriate
                                                                   Processes        strategies to problem solving, including estimation, and      4                    6
                                                                                    reasonableness of the solution.

                                                                 Data, Probability, GLE0206.5.1 Use and understand various
                                                                   & Statistics     representations to depict and analyze data                    4                    6
                                                                                    measurements.
                                                                 Data, Probability, CU0206.5.1 Read, interpret, and analyze data shown in
                                                                                                                                                  4                    6
                                                                   & Statistics     tables, bar graphs and picture graphs.
                                                                                                                                               Introduced
 Mathematics    Mathematics                                                       Correlation by Learning Expections with Aligned




                                                                                                                                                            Taught


                                                                                                                                                                     Tested
Common Core    Common Core    Mathematics Common Core Standard   TN Standard      Checks for Understanding and State Performance
   Domain         Cluster                                                                            Indicators


                                                                 Geometry &     GLE0206.4.1 Recognize, classify, and transform 2- and 3-
                                                                                                                                                4                    6
                                                                 Measurement    dimensional geometric figures.
                                                                 Geometry &     CU0206.4.1 Describe common geometric attributes of
                                                                                                                                                4                    6
                                                                 Measurement    familiar plane and solid objects.
                                                                 Geometry &     CU0206.4.8 Combine polygons to form other polygons
                                                                                                                                                4                    6
                                                                 Measurement    and subdivide a polygon into other polygons.
                                                                 Geometry &     CU0206.4.9 Recognize the composition and
                                                                                                                                                4                    6
                                                                 Measurement    decomposition of polygons.
                                                                  Numbers &     GRADE 3: GLE0306.2.2 Develop understanding of
                                                                  Operations    multiplication and related division facts through multiple      4                    6
                                                                                strategies and representations.
                                                                 Mathematical   CU0206.1.8 Use concrete models or pictures to show
                                                                  Processes     whether a fraction is less than a half, more than a half, or    4                    6
                                                                                equal to a half.
                                                                 Mathematical   CU0206.1.9 Match the spoken, written, concrete, and
                                                                                                                                                4                    6
                                                                  Processes     pictorial representations of halves, thirds, and fourths.
                                                                 Geometry &     CU0206.4.8 Combine polygons to form other polygons
                                                                                                                                                4                    6
                                                                 Measurement    and subdivide a polygon into other polygons.
                                                                                                                                                                                  Introduced
 Mathematics    Mathematics                                                                                            Correlation by Learning Expections with Aligned




                                                                                                                                                                                               Taught


                                                                                                                                                                                                        Tested
Common Core    Common Core                    Mathematics Common Core Standard                        TN Standard      Checks for Understanding and State Performance
   Domain         Cluster                                                                                                                 Indicators


                                                                                          5th Six Weeks
                                                                                                      Mathematical   GLE0206.1.3 Develop independent reasoning to
                                                                                                       Processes     communicate mathematical ideas and derive algorithms          5                    5
                                                                                                                     and/or formulas.
Operations &   Add and subtract OA.2.2 Add and subtract within 20. Fluently add and subtract within   Numbers &      GLE0206.2.3 Use efficient and accurate strategies to
 Algebraic        within 20     20 using mental strategies. By end of Grade 2, know from memory       Operations     develop fluency with multi-digit addition and subtraction.    5                    6
 Thinking                       all sums of two one-digit numbers.
                                                                                                        Algebra      CU0206.3.6 Relate repeated addition to multiplication.        5                    6
                                                                                                        Algebra      CU0206.3.6 Relate repeated addition to multiplication.        5                    6
                                                                                                       Numbers &     CU0206.2.10 Add three two-digit numbers.
                                                                                                                                                                                   5                    6
                                                                                                       Operations
                                                                                                      Mathematical   GLE0206.1.8 Use technologies/manipulatives
                                                                                                       Processes     appropriately to develop understanding of mathematical
                                                                                                                     algorithms, to facilitate problem solving, and to create      5                    6
                                                                                                                     accurate and reliable models of mathematical concepts.

                                                                                                          Algebra    GLE0206.3.2 Extend knowledge of the properties of
                                                                                                                                                                                   5                    6
                                                                                                                     numbers and operations to multiplication.
                                                                                                          Algebra    CU0206.3.5 Understand and use the commutative and
                                                                                                                                                                                   5                    6
                                                                                                                     associative properties of addition and multiplication.
                                                                                                      Mathematical   GLE0206.1.7 Recognize the historical development of
                                                                                                       Processes     mathematics, mathematics in context, and the                  5                    6
                                                                                                                     connections between mathematics and the real world.
                                                                                                      Geometry &     GLE0206.4.2 Understand the meaning and process of
                                                                                                                                                                                   5                    6
                                                                                                      Measurement    linear measurement.
                                                                                                      Geometry &     GLE0206.4.3 Add, subtract, compare, compute and
                                                                                                                                                                                   5                    6
                                                                                                      Measurement    estimate linear measurements.
                                                                                                      Geometry &     CU0206.4.3 Understand the property of transitivity as it
                                                                                                      Measurement    relates to linear measurement for example: If A is longer
                                                                                                                                                                                   5                    6
                                                                                                                     than B, and B is longer then C, then A is longer than C.

                                                                                                      Mathematical   GLE0206.1.3 Develop independent reasoning to
                                                                                                       Processes     communicate mathematical ideas and derive algorithms          5                    6
                                                                                                                     and/or formulas.
                                                                                                      Numbers &      GLE0206.2.4 Develop an initial understanding of
                                                                                                                                                                                   5                    6
                                                                                                      Operations     multiplication.
                       Teachers made all decisions on six weeks introduced and tested. If information is not correct or SPI do not match see your 2nd grade teachers
                                                                                                                                                                                                Crosswalk
 Mathematics      Mathematics                                                                                                                                                                  Correlation
                                                                                                                           Correlation by Learning Expections with Aligned Cchecks for            Notes
Common Core      Common Core                    Mathematics Common Core Standard                          TN Standard
                                                                                                                                 Understanding and State Performance Indicators               (Shaded rows
   Domain           Cluster
                                                                                                                                                                                                indicated
                                                                                                                                                                                              grade change)
Operations & Represent and        OA.3.1 Interpret products of whole numbers, e.g., interpret 5 × 7 as    Mathematical GLE0306.1.1 Use mathematical language, symbols, and definitions
 Algebraic   solve problems       the total number of objects in 5 groups of 7 objects each. For           Processes while developing mathematical reasoning.
 Thinking    involving            example, describe a context in which a total number of objects can be
             multiplication and   expressed as 5 × 7.
             division

                                                                                                          Mathematical GLE0306.1.2 Apply and adapt a variety of appropriate strategies to
                                                                                                           Processes problem solving, including estimation, and reasonableness of the
                                                                                                                       solution.
                                                                                                          Mathematical GLE0306.1.4 Move flexibly between concrete and abstract
                                                                                                           Processes representations of mathematical ideas in order to solve problems,
                                                                                                                       model mathematical ideas, and communicate solution strategies.
                                                                                                          Mathematical GLE0306.1.6 Read and interpret the language of mathematics and
                                                                                                           Processes use written/oral communication to express mathematical ideas
                                                                                                                       precisely.
                                                                                                          Mathematical GLE0306.1.8 Use technologies/manipulatives appropriately to develop
                                                                                                           Processes understanding of mathematical algorithms, to facilitate problem
                                                                                                                       solving, and to create accurate and reliable models of mathematical
                                                                                                                       concepts.
                                                                                                          Mathematical CU0306.1.5 Determine when and how to break a problem into simpler
                                                                                                           Processes parts.
                                                                                                          Mathematical SPI0306.1.5 Represent problems mathematically using diagrams,
                                                                                                           Processes numbers, and symbolic expressions.
                                                                                                           Number &    GLE0306.2.2 Develop understanding of multiplication and related
                                                                                                           Operations division facts through multiple strategies and representations.
                                                                                                           Number &    GLE0306.2.4 Solve multiplication and division problems using various
                                                                                                           Operations representations.
                                                                                                           Number &    CU0306.2.7 Represent multiplication using various representations
                                                                                                           Operations such as equal-size groups, arrays, area models, and equal jumps on
                                                                                                                       number lines.
                                                                                                           Number &    SPI0306.2.5 Identify various representations of multiplication and
                                                                                                           Operations division.
Operations & Represent and        OA.3.2 . Interpret whole-number quotients of whole numbers, e.g.,         Mathematical GLE0306.1.6 Read and interpret the language of mathematics and
 Algebraic   solve problems       interpret 56 ÷ 8 as the number of objects in each share when 56            Processes use written/oral communication to express mathematical ideas
 Thinking    involving            objects are partitioned equally into 8 shares, or as a number of shares                precisely.
             multiplication and   when 56 objects are partitioned into equal shares of 8 objects each.
             division             For example, describe a context in which a number of shares or a
                                  number of groups can be expressed as 56 ÷ 8.
                                                                                                             Number &      GLE0306.2.4 Solve multiplication and division problems using various
                                                                                                             Operations    representations.
                                                                                                             Number &      CU0306.2.8 Represent division using various representations such as
                                                                                                             Operations    successive subtraction, the number of equal jumps, partitioning, and
                                                                                                                           sharing.
                                                                                                             Number &      CU0306.2.9 Describe contexts for multiplication and division facts.
                                                                                                             Operations
                                                                                                            Mathematical GLE0306.1.8 Use technologies/manipulatives appropriately to develop
                                                                                                             Processes understanding of mathematical algorithms, to facilitate problem
                                                                                                                         solving, and to create accurate and reliable models of mathematical
                                                                                                                         concepts.
                                                                                                             Number &    SPI0306.2.5 Identify various representations of multiplication and
                                                                                                             Operations division.
Operations & Represent and        OA.3.3 Use multiplication and division within 100 to solve word           Mathematical GLE0306.1.1 Use mathematical language, symbols, and definitions
 Algebraic   solve problems       problems in situations involving equal groups, arrays, and                 Processes while developing mathematical reasoning.
 Thinking    involving            measurement quantities, e.g., by using drawings and equations with a
             multiplication and   symbol for the unknown number to represent the problem.
             division
                                                                                                            Mathematical GLE0306.1.2 Apply and adapt a variety of appropriate strategies to
                                                                                                             Processes problem solving, including estimation, and reasonableness of the
                                                                                                                         solution.
                                                                                                            Mathematical GLE0306.1.6 Read and interpret the language of mathematics and
                                                                                                             Processes use written/oral communication to express mathematical ideas
                                                                                                                         precisely.
                                                                                                            Mathematical SPI0306.1.7 Select appropriate units and tools to solve problems
                                                                                                             Processes involving measures.
                                                                                                            Mathematical CU0306.1.5 Determine when and how to break a problem into simpler
                                                                                                             Processes parts.
                                                                                                             Number &    GLE0306.2.2 Develop understanding of multiplication and related
                                                                                                             Operations division facts through multiple strategies and representations.
                                                                                                             Number &    GLE0306.2.4 Solve multiplication and division problems using various
                                                                                                             Operations representations.
                                                                                                             Number &      CU0306.2.7 Represent multiplication using various representations
                                                                                                             Operations    such as equal-size groups, arrays, area models, and equal jumps on
                                                                                                                           number lines.
                                                                                                             Number &      CU0306.2.8 Represent division using various representations such as
                                                                                                             Operations    successive subtraction, the number of equal jumps, partitioning, and
                                                                                                                           sharing.
                                                                                                             Number &      CU0306.2.9 Describe contexts for multiplication and division facts.
                                                                                                             Operations
                                                                                                             Number &      SPI0306.2.8 Solve problems that involve the inverse relationship
                                                                                                             Operations    between multiplication and division.
Operations & Represent and        OA.3.4 Determine the unknown whole number in a multiplication or          Mathematical   GLE0306.1.1 Use mathematical language, symbols, and definitions
 Algebraic   solve problems       division equation relating three whole numbers. For example,               Processes     while developing mathematical reasoning.
 Thinking    involving            determine the unknown number that makes the equation true in each
             multiplication and   of the equations 8 × ? = 48, 5 = __÷ 3, 6 × 6 = ?.
             division
                                                                                                            Mathematical GLE0306.1.2 Apply and adapt a variety of appropriate strategies to
                                                                                                             Processes problem solving, including estimation, and reasonableness of the
                                                                                                                         solution.
                                                                                                              Algebra    GLE0306.3.2 Develop understanding that a letter or a symbol can
                                                                                                                         represent an unknown quantity in a simple mathematical
                                                                                                                         expression/equation.
                                                                                                              Algebra    CU0306.3.5 Find unknowns in number sentences and problems
                                                                                                                         involving addition, subtraction, multiplication, or division.
                                                                                                              Algebra    SPI0306.3.3 Find the missing values in simple multiplication and
                                                                                                                         division equations.
Operations & Understand           OA.3.5 Apply properties of operations as strategies to multiply and       Mathematical GLE0306.1.1 Use mathematical language, symbols, and definitions
 Algebraic   properties of        divide. Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also          Processes while developing mathematical reasoning.
 Thinking    multiplication and   known. Commutative property of multiplication. 3 × 5 × 2 can be found
             the relationship     by 3 × 5 = 15 then 15 × 2 = 30, or by 5 × 2 = 10 then 3 × 10 = 30.
             between              Associative property of multiplication. Knowing that 8 × 5 = 40 and 8 ×
             multiplication and   2 = 16, one can find 8 × 7 as 8 × 5 + 2 = 8 × 5 + 8 × 2 = 40 + 16 = 56.
             division             Distributive property. Students need not use formal terms for these
                                  properties.
                                                                                                            Mathematical   CU0306.1.8 Explain and justify answers on the basis of mathematical
                                                                                                             Processes     properties, structures, and relationships.
                                                                                                             Number &      GLE0306.2.2 Develop understanding of multiplication and related
                                                                                                             Operations    division facts through multiple strategies and representations.
                                                                                                              Algebra      GLE0306.3.1 Develop meaning for and apply the commutative,
                                                                                                                           associative, and distributive properties using various representations.
                                                                                                             Algebra      CU0306.3.2 Show that subtraction and division are not commutative
                                                                                                                          operations.
                                                                                                             Algebra      CU0306.3.3 Use commutative, associative, and distributive properties
                                                                                                                          to multiply whole numbers.
                                                                                                             Algebra      CU0306.3.1 Show that addition and multiplication are commutative
                                                                                                                          operations.
                                                                                                             Algebra      CU0306.3.4 Solve problems using the commutative, associative, and
                                                                                                                          distributive properties.
                                                                                                             Algebra      SPI0306.3.2 Express mathematical relationships using number
                                                                                                                          sentences/equations.
                                                                                                             Algebra      SPI0306.3.3 Find the missing values in simple multiplication and
                                                                                                                          division equations.
Operations & Understand            OA.3.6 Understand division as an unknown-factor problem. For             Number &      GLE0306.2.3 Relate multiplication and division as inverse operations.
 Algebraic   properties of         example, divide 32 ÷ 8 by finding the number that makes 32 when          Operations
 Thinking    multiplication and    multiplied by 8.
             the relationship
             between
             multiplication and
             division
                                                                                                             Algebra    GLE0306.3.2 Develop understanding that a letter or a symbol can
                                                                                                                        represent an unknown quantity in a simple mathematical
                                                                                                                        expression/equation.
                                                                                                             Algebra    CU0306.3.2 Show that subtraction and division are not commutative
                                                                                                                        operations.
                                                                                                           Mathematical GLE0306.1.2 Apply and adapt a variety of appropriate strategies to
                                                                                                            Processes problem solving, including estimation, and reasonableness of the
                                                                                                                        solution.
                                                                                                             Algebra    SPI0306.3.3 Find the missing values in simple multiplication and
                                                                                                                        division equations.
Operations & Multiply and divide   OA.3.7 Fluently multiply and divide within 100, using strategies such    Number &    SPI0306.2.6 Recall basic multiplication facts through 10 times10 and
 Algebraic   within 100            as the relationship between multiplication and division e.g., knowing    Operations the related division facts.
 Thinking                          that 8 × 5 = 40, one knows 40 ÷ 5 = 8 or properties of operations. By
                                   the end of Grade 3, know from memory all products of one-digit
                                   numbers.
                                                                                                            Number &      CU0306.2.4 Use a variety of methods to perform mental computations
                                                                                                            Operations    and compare the efficiency of those methods.
                                                                                                            Number &      GLE0306.2.2 Develop understanding of multiplication and related
                                                                                                            Operations    division facts through multiple strategies and representations.
                                                                                                              Number &      GRADE 4: GLE0406.2.2 Develop fluency with multiplication and single- *** Common
                                                                                                              Operations    digit division.                                                      Core Standard
                                                                                                                                                                                                 is one grade
                                                                                                                                                                                                 below TN GLE.
Operations & Solve problems         OA.3.8 Solve two-step word problems using the four operations.             Algebra      GLE0306.3.2 Develop understanding that a letter or a symbol can
 Algebraic   involving the four     Represent these problems using equations with a letter standing for                     represent an unknown quantity in a simple mathematical
 Thinking    operations, and        the unknown quantity. Assess the reasonableness of answers using                        expression/equation.
             identify and explain   mental computation and estimation strategies including rounding. This
             patterns in            standard is limited to problems posed with whole numbers and having
             arithmetic             whole-number answers; students should know how to perform
                                    operations in the conventional order when there are no parentheses to
                                    specify a particular order Order of Operations.

                                                                                                               Algebra    CU0306.3.5 Find unknowns in number sentences and problems
                                                                                                                          involving addition, subtraction, multiplication, or division.
                                                                                                               Algebra    SPI0306.3.2 Express mathematical relationships using number
                                                                                                                          sentences/equations.
                                                                                                             Mathematical GLE0306.1.2 Apply and adapt a variety of appropriate strategies to
                                                                                                              Processes problem solving, including estimation, and reasonableness of the
                                                                                                                          solution.
                                                                                                             Mathematical GLE0306.1.3 Develop independent reasoning to communicate
                                                                                                              Processes mathematical ideas and derive algorithms and/or formulas.
Operations & Solve problems         OA.3.9 Identify arithmetic patterns including patterns in the addition     Algebra    GLE0306.3.3 Describe and analyze patterns and relationships in
 Algebraic   involving the four     table or multiplication table, and explain them using properties of                   contexts.
 Thinking    operations, and        operations. For example, observe that 4 times a number is always
             identify and explain   even, and explain why 4 times a number can be decomposed into two
             patterns in            equal addends.
             arithmetic
                                                                                                               Algebra    CU0306.3.6 Analyze patterns in words, tables, and graphs to draw
                                                                                                                          conclusions.
                                                                                                               Algebra    SPI0306.3.4 Describe or extend including finding missing terms
                                                                                                                          geometric and numeric patterns.
                                                                                                               Algebra    CU0306.3.7 Create different representations of a pattern given a
                                                                                                                          verbal description.
                                                                                                               Algebra    CU0306.3.8 Analyze patterns in quantitative change resulting from
                                                                                                                          computation.
                                                                                                             Mathematical GLE0306.1.3 Develop independent reasoning to communicate
                                                                                                              Processes mathematical ideas and derive algorithms and/or formulas.
 Numbers & Use place value          NBT.3.1 Use place value understanding to round whole numbers to             Number &      GLE0306.2.1 Understand the place value of whole numbers to ten-
Operations in understanding and     the nearest 10 or 100.                                                      Operations    thousands place including expanded notation for all arithmetic
  Base Ten    properties of                                                                                                   operations.
              operations to
              perform multi-digit
              arithmetic
                                                                                                                Number &    CU0306.2.5 Use highest order value such as tens or hundreds digit to
                                                                                                                Operations  make simple estimates.
                                                                                                                Number &    SPI0306.2.2 Identify the place value of numbers in the ten-thousands,
                                                                                                                Operations  thousands, hundreds, tens, and ones positions.
                                                                                                                 Algebra    GLE0306.1.2 Apply and adapt a variety of appropriate strategies to
                                                                                                                            problem solving, including estimation, and reasonableness of the
                                                                                                                            solution.
 Numbers & Use place value          NBT.3.2 Use place value understanding and properties of operations         Mathematical GLE0306.1.3 Develop independent reasoning to communicate
Operations in understanding and     to perform multi-digit arithmetic. Fluently add and subtract within 1000    Processes mathematical ideas and derive algorithms and/or formulas.
  Base Ten    properties of         using strategies and algorithms based on place value, properties of
              operations to         operations, and/or the relationship between addition and subtraction. A
              perform multi-digit   range of algorithms may be used.
              arithmetic
                                                                                                                Number &      CU0306.2.6 Solve a variety of addition and subtraction story problems
                                                                                                                Operations    including those with irrelevant information.
                                                                                                                Number &      SPI0306.2.9 Solve contextual problems involving the addition with and
                                                                                                                Operations    without regrouping and subtraction without regrouping of two- and
                                                                                                                              three digit whole numbers.
 Numbers & Use place value          NBT.3.3 Multiply one-digit whole numbers by multiples of 10 in the          Number &      SPI0306.2.7 Compute multiplication problems that involve multiples of
Operations in understanding and     range 10-90 e.g., 9 × 80, 5 × 60 using strategies based on place value      Operations    ten using basic number facts.
  Base Ten    properties of         and properties of operations. A range of algorithms may be used.
              operations to
              perform multi-digit
              arithmetic
                                                                                                                Number &      GLE0306.2.2 Develop understanding of multiplication and related
                                                                                                                Operations    division facts through multiple strategies and representations.
                                                                                                                 Algebra      GLE0306.1.3 Develop independent reasoning to communicate
                                                                                                                              mathematical ideas and derive algorithms and/or formulas.
Numbers & Develop                   NF.3.1 Understand a fraction 1/b as the quantity formed by 1 part           Number &      GLE0306.2.5 Understand the meaning and uses of fractions.
Operations - understanding of       when a whole is partitioned into b equal parts; understand a fraction       Operations
 Fractions   fractions as           a/b as the quantity formed by a parts of size 1/b. Grade 3
             numbers                expectations in this domain are limited to fractions with denominators
                                    2, 3, 4, 6, and 8.
                                                                                                                   Number &      CU0306.2.10 Understand that symbols such as 1⁄2, 1/3, and 1⁄4
                                                                                                                   Operations    represent numbers called unit fractions.
                                                                                                                   Number &      CU0306.2.11 Identify fractions as parts of whole units, as parts of sets,
                                                                                                                   Operations    as locations on number lines, and as division of two whole numbers.

                                                                                                                   Number &      CU0306.2.13 Understand that when a whole is divided into equal parts
                                                                                                                   Operations    to create unit fractions, the sum of all the parts adds up to one.

                                                                                                                   Number &      SPI0306.2.11 Recognize and use different interpretations of fractions.
                                                                                                                   Operations
                                                                                                                   Number &      SPI0306.2.13 Recognize, compare, and order fractions benchmark
                                                                                                                   Operations    fractions, common numerators, or common denominators.

Numbers & Develop                     NF.3.2 Understand a fraction as a number on the number line;                 Number &      CU0306.2.10 Understand that symbols such as 1⁄2, 1/3, and 1⁄4
Operations - understanding of         represent fractions on a number line diagram. Grade 3 expectations           Operations    represent numbers called unit fractions.
 Fractions   fractions as             in this domain are limited to fractions with denominators 2, 3, 4, 6, and
             numbers                  8.
                                                                                                                   Number &      CU0306.2.11 Identify fractions as parts of whole units, as parts of sets,
                                                                                                                   Operations    as locations on number lines, and as division of two whole numbers.

                                                                                                                   Number &      CU0306.2.13 Understand that when a whole is divided into equal parts
                                                                                                                   Operations    to create unit fractions, the sum of all the parts adds up to one.

                                                                                                                  Mathematical GLE0306.1.4 Move flexibly between concrete and abstract
                                                                                                                   Processes representations of mathematical ideas in order to solve problems,
                                                                                                                               model mathematical ideas, and communicate solution strategies.
                                                                                                                   Number &    SPI0306.2.11 Recognize and use different interpretations of fractions.
                                                                                                                   Operations
Numbers & Represent a fraction        NF.3.2.a Recognize that each part has size 1/b and that the endpoint        Mathematical SPI0306.1.4 Match the spoken, written, concrete, and pictorial
Operations - 1/b on a number line     of the part based at 0 locates the number 1/b on the number line.            Processes representations of fractions with denominators up to ten.
 Fractions   diagram by defining      Grade 3 expectations in this domain are limited to fractions with
             the interval from 0 to   denominators 2, 3, 4, 6, and 8.
             1 as the whole and
             partitioning it into b
             equal parts

                                                                                                                   Number &      CU0306.2.11 Identify fractions as parts of whole units, as parts of sets,
                                                                                                                   Operations    as locations on number lines, and as division of two whole numbers.
                                                                                                                    MM        GLE0306.1.4 Move flexibly between concrete and abstract
                                                                                                                              representations of mathematical ideas in order to solve problems,
                                                                                                                              model mathematical ideas, and communicate solution strategies.
Numbers & Represent a fraction      NF.3.2.b Recognize that the resulting interval has size a/b and that its     Algebra      GLE0306.1.4 Move flexibly between concrete and abstract
Operations - a/b on a number line   endpoint locates the number a/b on the number line. Grade 3                               representations of mathematical ideas in order to solve problems,
 Fractions   diagram by marking     expectations in this domain are limited to fractions with denominators                    model mathematical ideas, and communicate solution strategies.
             off a lengths 1/b      2, 3, 4, 6, and 8.
             from 0

                                                                                                                Number &      CU0306.2.11 Identify fractions as parts of whole units, as parts of sets,
                                                                                                                Operations    as locations on number lines, and as division of two whole numbers.

                                                                                                               Mathematical SPI0306.1.4 Match the spoken, written, concrete, and pictorial
                                                                                                                Processes representations of fractions with denominators up to ten.
Numbers & Develop                   NF.3.3 Explain equivalence of fractions in special cases, and               Number &    GLE0306.2.5 Understand the meaning and uses of fractions.
Operations - understanding of       compare fractions by reasoning about their size. Grade 3                    Operations
 Fractions   fractions as           expectations in this domain are limited to fractions with denominators
             numbers                2, 3, 4, 6, and 8.
                                                                                                                Number &    SPI0306.2.12 Name fractions in various contexts that are less than,
                                                                                                                Operations  equal to, or greater than one.
                                                                                                               Mathematical GLE0306.1.4 Move flexibly between concrete and abstract
                                                                                                                Processes   representations of mathematical ideas in order to solve problems,
                                                                                                                            model mathematical ideas, and communicate solution strategies.
Numbers & Understand two            NF.3.3.a Grade 3 expectations in this domain are limited to fractions      Mathematical GLE0306.1.4 Move flexibly between concrete and abstract
Operations - fractions as           with denominators 2, 3, 4, 6, and 8.                                        Processes representations of mathematical ideas in order to solve problems,
 Fractions   equivalent equal if                                                                                            model mathematical ideas, and communicate solution strategies.
             they are the same
             size, or the same
             point on a number
             line
                                                                                                                Number &      GLE0306.2.6 Use various strategies and models to compare and order
                                                                                                                Operations    fractions and identify equivalent fractions.
Numbers & Recognize and           NF.3.3.b Explain why the fractions are equivalent, e.g., by using a          Mathematical   GLE0306.1.8 Use technologies/manipulatives appropriately to develop
Operations - generate simple      visual fraction model. Grade 3 expectations in this domain are limited        Processes     understanding of mathematical algorithms, to facilitate problem
 Fractions   equivalent fractions to fractions with denominators 2, 3, 4, 6, and 8.                                           solving, and to create accurate and reliable models of mathematical
             eg, 1/2 = 2/4, 4/6 =                                                                                             concepts.
             2/3
                                                                                                               Mathematical GLE0306.1.4 Move flexibly between concrete and abstract
                                                                                                                Processes representations of mathematical ideas in order to solve problems,
                                                                                                                            model mathematical ideas, and communicate solution strategies.
                                                                                                             Number &      SPI0306.2.10 Identify equivalent fractions given by various
                                                                                                             Operations    representations.
Numbers & Express whole            NF.3.3.c Examples: Express 3 in the form 3 = 3/1; recognize that 6/1     Mathematical   GLE0306.1.4 Move flexibly between concrete and abstract
Operations - numbers as            = 6; locate 4/4 and 1 at the same point of a number line diagram.         Processes     representations of mathematical ideas in order to solve problems,
 Fractions   fractions, and        Grade 3 expectations in this domain are limited to fractions with                       model mathematical ideas, and communicate solution strategies.
             recognize fractions   denominators 2, 3, 4, 6, and 8.
             that are equivalent
             to whole numbers
                                                                                                             Number &      GLE0306.2.6 Use various strategies and models to compare and order
                                                                                                             Operations    fractions and identify equivalent fractions.
                                                                                                             Number &      SPI0306.2.13 Recognize, compare, and order fractions benchmark
                                                                                                             Operations    fractions, common numerators, or common denominators.

Numbers & Compare two              NF.3.3.d Recognize that valid comparisons rely on the two fractions      Mathematical GLE0306.1.1 Use mathematical language, symbols, and definitions
Operations - fractions with the    referring to the same whole. Record the results of comparisons with       Processes while developing mathematical reasoning.
 Fractions   same numerator or     the symbols >, =, or <, and justify the conclusions, e.g., by using a
             the same              visual fraction model. Grade 3 expectations in this domain are limited
             denominator, by       to fractions with denominators 2, 3, 4, 6, and 8.
             reasoning about
             their size
                                                                                                            Mathematical GLE0306.1.8 Use technologies/manipulatives appropriately to develop
                                                                                                             Processes understanding of mathematical algorithms, to facilitate problem
                                                                                                                         solving, and to create accurate and reliable models of mathematical
                                                                                                                         concepts.
                                                                                                             Number &    CU0306.2.12 Compare fractions using drawings, concrete objects, and
                                                                                                             Operations benchmark fractions.
                                                                                                             Number &    SPI0306.2.13 Recognize, compare, and order fractions benchmark
                                                                                                             Operations fractions, common numerators, or common denominators.

                                                                                                             Number &      CU0306.2.2 Understand and use the symbols =, < and > to signify
                                                                                                             Operations    order and comparison.
Measurement Solve problems         MD.3.1 Tell and write time to the nearest minute and measure time        Mathematical   GLE0306.1.1 Use mathematical language, symbols, and definitions
  & Data    involving              intervals in minutes. Solve word problems involving addition and          Processes     while developing mathematical reasoning.
            measurement and        subtraction of time intervals in minutes, e.g., by representing the
            estimation of          problem on a number line diagram.
            intervals of time,
            liquid volumes, and
            masses of objects
                                                                                                          Mathematical GLE0306.1.7 Recognize the historical development of mathematics,
                                                                                                           Processes mathematics in context, and the connections between mathematics
                                                                                                                       and the real world.
                                                                                                          Mathematical CU0306.1.1 Read and write time to the nearest minute.
                                                                                                           Processes
                                                                                                          Mathematical SPI0306.1.2 Solve problems involving elapsed time.
                                                                                                           Processes
Measurement Solve problems        MD.3.2 Measure and estimate liquid volumes and masses of objects        Mathematical GLE0306.1.1 Use mathematical language, symbols, and definitions
  & Data    involving             using standard units of grams g, kilograms kg, and liters l. Excludes    Processes while developing mathematical reasoning.
            measurement and       compound units such as cm^3 and finding the geometric volume of a
            estimation of         container. Add, subtract, multiply, or divide to solve one-step word
            intervals of time,    problems involving masses or volumes that are given in the same
            liquid volumes, and   units, e.g., by using drawings such as a beaker with a measurement
            masses of objects     scale to represent the problem. Excludes multiplicative comparison
                                  problems problems involving notions of “times as much.”

                                                                                                          Mathematical GLE0306.1.5 Use mathematical ideas and processes in different
                                                                                                           Processes settings to formulate patterns, analyze graphs, set up and solve
                                                                                                                       problems and interpret solutions.
                                                                                                          Mathematical GLE0306.1.7 Recognize the historical development of mathematics,
                                                                                                           Processes mathematics in context, and the connections between mathematics
                                                                                                                       and the real world.
                                                                                                          Mathematical SPI0306.1.7 Select appropriate units and tools to solve problems
                                                                                                           Processes involving measures.
                                                                                                          Geometry & CU03064.5 Understand that all measurements require units.
                                                                                                          Measurement
                                                                                                          Geometry & GLE0306.4.5 Solve measurement problems involving fractional parts
                                                                                                          Measurement of linear units and capacity units.
                                                                                                          Geometry & CU03064.6 Recognize the use of fractions in liquid measures.
                                                                                                          Measurement
                                                                                                          Geometry & CU03064.7 Recognize the relationships among cups, pints, quarts,
                                                                                                          Measurement and gallons.
                                                                                                          Geometry & CU03064.8 Estimate and/or measure the capacity of a container.
                                                                                                          Measurement
                                                                                                          Geometry & CU03064.9 Measure weight to the nearest ounce or gram.
                                                                                                          Measurement
                                                                                                          Geometry & SPI0306.4.5 Choose reasonable units of measure, estimate common
                                                                                                          Measurement measurements using benchmarks, and use appropriate tools to make
                                                                                                                       measurements.
Measurement Represent and    MD.3.3 Draw a scaled picture graph and a scaled bar graph to            Mathematical GLE0306.1.1 Use mathematical language, symbols, and definitions
  & Data    interpret data   represent a data set with several categories. Solve one- and two-step    Processes while developing mathematical reasoning.
                             “how many more” and “how many less” problems using information
                             presented in scaled bar graphs. For example, draw a bar graph in
                             which each square in the bar graph might represent 5 pets.

                                                                                                     Mathematical GLE0306.1.2 Apply and adapt a variety of appropriate strategies to
                                                                                                      Processes problem solving, including estimation, and reasonableness of the
                                                                                                                    solution.
                                                                                                     Mathematical GLE0306.1.4 Move flexibly between concrete and abstract
                                                                                                      Processes representations of mathematical ideas in order to solve problems,
                                                                                                                    model mathematical ideas, and communicate solution strategies.
                                                                                                     Mathematical GLE0306.1.5 Use mathematical ideas and processes in different
                                                                                                      Processes settings to formulate patterns, analyze graphs, set up and solve
                                                                                                                    problems and interpret solutions.
                                                                                                     Mathematical GLE0306.1.7 Recognize the historical development of mathematics,
                                                                                                      Processes mathematics in context, and the connections between mathematics
                                                                                                                    and the real world.
                                                                                                         Data,      GLE0306.5.1 Organize, display, and analyze data using various
                                                                                                     Probability, & representations to solve problems.
                                                                                                       Statistics
                                                                                                         Data,      CU0306.5.1 Collect and organize data using observations, surveys,
                                                                                                     Probability, & and experiments.
                                                                                                       Statistics
                                                                                                         Data,      CU0306.5.2 Construct a frequency table, bar graph, pictograph, or line
                                                                                                     Probability, & plot of collected data.
                                                                                                       Statistics
                                                                                                         Data,      CU0306.5.4 Solve problems using data from frequency tables, bar
                                                                                                     Probability, & graphs, pictographs, or line plots.
                                                                                                       Statistics
                                                                                                         Data,      SPI0306.5.2 Solve problems in which data is represented in tables or
                                                                                                     Probability, & graph.
                                                                                                       Statistics
                                                                                                     Mathematical SPI0306.1.8 Express answers clearly in verbal, numerical, or graphical
                                                                                                      Processes bar and picture form, using units when appropriate.
Measurement Represent and    MD.3.4 Generate measurement data by measuring lengths using             Mathematical GLE0306.1.1 Use mathematical language, symbols, and definitions
  & Data    interpret data   rulers marked with halves and fourths of an inch. Show the data by       Processes while developing mathematical reasoning.
                             making a line plot, where the horizontal scale is marked off in
                             appropriate units—whole numbers, halves, or quarters.
                                                                                                                  Mathematical GLE0306.1.7 Recognize the historical development of mathematics,
                                                                                                                   Processes mathematics in context, and the connections between mathematics
                                                                                                                               and the real world.
                                                                                                                  Mathematical GLE0306.1.8 Use technologies/manipulatives appropriately to develop
                                                                                                                   Processes understanding of mathematical algorithms, to facilitate problem
                                                                                                                               solving, and to create accurate and reliable models of mathematical
                                                                                                                               concepts.
                                                                                                                  Mathematical CU0306.1.13 Create and use representations to organize, record, and
                                                                                                                   Processes communicate mathematical ideas.
                                                                                                                   Number &    GLE0306.2.5 Understand the meaning and uses of fractions.
                                                                                                                   Operations
                                                                                                                  Geometry & GLE0306.4.4 Use appropriate units, strategies and tools to solve
                                                                                                                  Measurement problems involving perimeter.
                                                                                                                  Geometry & CU03064.12 Make and record measurements that use mixed units
                                                                                                                  Measurement within the same system of measurement such as feet and inches,
                                                                                                                               meters and centimeters.
                                                                                                                  Geometry & CU03064.11 Know common equivalences for length 1 meter = 100
                                                                                                                  Measurement centimeters, 1 yard = 3 feet, 1 foot = 12 inches.
                                                                                                                  Geometry & CU03064.13 Use common abbreviations: km, m, cm, in, ft, yd, mi.
                                                                                                                  Measurement
                                                                                                                  Geometry & CU03064.10 Use reasonable units of length i.e. kilometer, meter,
                                                                                                                  Measurement centimeter; mile, yard, foot, inch in estimates and measures.
Measurement Geometric               MD.3.5 Recognize area as an attribute of plane figures and                    Geometry & GRADE 4: GLE0406.4.2 Understand and use measures of length,           *** Common
  & Data    measurement:            understand concepts of area measurement.                                      Measurement area, capacity, and weight.                                          Core Standard
            understand               -- a. A square with side length 1 unit, called “a unit square,” is said to                                                                                    is one grade
            concepts of area        have “one square unit” of area, and can be used to measure area.                                                                                               below TN GLE.
            and relate area to       -- b. A plane figure which can be covered without gaps or overlaps
            multiplication and to   by n unit squares is said to have an area of n square units.
            addition

                                                                                                                  Geometry & GRADE 4: CU0406.4.8 Recognize that a measure of area represents       Common Core
                                                                                                                  Measurement the total number of same-sized units /that cover the shape without   Standard is
                                                                                                                              gaps or overlaps.                                                    one grade
                                                                                                                                                                                                   below TN
                                                                                                                                                                                                   Check for
                                                                                                                                                                                                   Understanding.
                                                                                                              Number &   GRADE 4: CU0406.2.7 Identify factors of whole numbers and model         Common Core
                                                                                                              Operations factors and products beyond basic multiplication facts using arrays and Standard is
                                                                                                                         area models.                                                            one grade
                                                                                                                                                                                                 below TN
Measurement Geometric             MD.3.6 Measure areas by counting unit squares square cm, square            Geometry & GRADE 4: CU0406.4.11 Estimate areas of rectangles in square inches Common Core
  & Data    measurement:          m, square in, square ft, and improvised units.                             Measurement and square centimeters.                                                 Standard is
            understand                                                                                                                                                                           one grade
            concepts of area                                                                                                                                                                     below TN
            and relate area to                                                                                                                                                                   Check for
            multiplication and to                                                                                                                                                                Understanding.
            addition
                                                                                                              Number &      GRADE 4: CU0406.2.7 Identify factors of whole numbers and model         Common Core
                                                                                                              Operations    factors and products beyond basic multiplication facts using arrays and Standard is
                                                                                                                            area models.                                                            one grade
                                                                                                                                                                                                    below TN
                                                                                                                                                                                                    Check for
                                                                                                                                                                                                    Understanding.

Measurement Geometric               MD.3.7 Relate area to the operations of multiplication and addition.     Geometry & GRADE 4: CU0406.4.10 Connect area measure to multiplication using Common Core
  & Data    measurement:                                                                                     Measurement a rectangular area model.                                        Standard is
            understand                                                                                                                                                                    one grade
            concepts of area                                                                                                                                                              below TN
            and relate area to                                                                                                                                                            Check for
            multiplication and to                                                                                                                                                         Understanding.
            addition
Measurement Geometric               MD.3.7.a Find the area of a rectangle with whole-number side lengths     Geometry & GRADE 4: CU0406.4.8 Recognize that a measure of area represents           Common Core
  & Data    measurement:            by tiling it, and show that the area is the same as would be found by    Measurement the total number of same-sized units /that cover the shape without       Standard is
            understand              multiplying the side lengths.                                                        gaps or overlaps.                                                        one grade
            concepts of area                                                                                                                                                                      below TN
            and relate area to                                                                                                                                                                    Check for
            multiplication and to                                                                                                                                                                 Understanding.
            addition
Measurement Geometric               MD.3.7.b Multiply side lengths to find areas of rectangles with whole-   Geometry & GRADE 4: GLE0406.4.3 Solve problems that involve estimating and           Common Core
  & Data    measurement:            number side lengths in the context of solving real world and             Measurement measuring length, area, capacity and weight.                             Standard is
            understand              mathematical problems, and represent whole-number products as                                                                                                 one grade
            concepts of area        rectangular areas in mathematical reasoning.                                                                                                                  below TN
            and relate area to                                                                                                                                                                    Check for
            multiplication and to                                                                                                                                                                 Understanding.
            addition
                                                                                                               Geometry & GRADE 4: CU0406.4.10 Connect area measure to multiplication using Common Core
                                                                                                               Measurement a rectangular area model.                                        Standard is
                                                                                                                                                                                            one grade
                                                                                                                                                                                            below TN
Measurement Geometric               MD.3.7.c Use tiling to show in a concrete case that the area of a          Geometry & GRADE 4: CU0406.4.8 Recognize that a measure of area represents Check for Core
                                                                                                                                                                                            Common
  & Data    measurement:            rectangle with whole-number side lengths a and b + c is the sum of a       Measurement the total number of same-sized units /that cover the shape without   Standard is
            understand              × b and a × c. Use area models to represent the distributive property in               gaps or overlaps.                                                    one grade
            concepts of area        mathematical reasoning.                                                                                                                                     below TN
            and relate area to                                                                                                                                                                  Check for
            multiplication and to                                                                                                                                                               Understanding.
            addition
Measurement Geometric               MD.3.7.d Recognize area as additive. Find areas of rectilinear figures     Geometry & GRADE 4: GLE0406.4.3 Solve problems that involve estimating and       *** Common
  & Data    measurement:            by decomposing them into non-overlapping rectangles and adding the         Measurement measuring length, area, capacity and weight.                         Core Standard
            understand              areas of the non-overlapping parts, applying this technique to solve                                                                                        is one grade
            concepts of area        real world problems.                                                                                                                                        below TN GLE.
            and relate area to
            multiplication and to
            addition
                                                                                                               Geometry & GRADE 4: CU0406.4.8 Recognize that a measure of area represents      Common Core
                                                                                                               Measurement the total number of same-sized units /that cover the shape without  Standard is
                                                                                                                           gaps or overlaps.                                                   one grade
                                                                                                                                                                                               below TN
                                                                                                               Geometry & GRADE 4: CU0406.4.12 Estimate the size of an object with respect to Common Core
                                                                                                               Measurement a given measurement attribute length, perimeter, area, or capacity. Standard is
                                                                                                                                                                                               one grade
                                                                                                                                                                                               below TN
Measurement Geometric               MD.3.8 Solve real world and mathematical problems involving                Geometry & GLE0306.4.4 Use appropriate units, strategies and tools to solve
  & Data    measurement:            perimeters of polygons, including finding the perimeter given the side     Measurement problems involving perimeter.
            recognize perimeter     lengths, finding an unknown side length, and exhibiting rectangles with
            as an attribute of      the same perimeter and different area or with the same area and
            plane figures and       different perimeter.
            distinguish between
            linear and area
            measures

                                                                                                               Geometry & SPI0306.4.4 Calculate the perimeter of shapes made from polygons.
                                                                                                               Measurement
                                                                                                               Geometry & GRADE 4: SPI0406.4.9 Solve problems involving area and/or             Common Core
                                                                                                               Measurement perimeter of rectangular figures.                                    Standard is
                                                                                                                                                                                                one grade
                                                                                                                                                                                                below TN SPI.
Geometry   Reason with shapes G.3.1 Understand that shapes in different categories e.g., rhombuses,    Geometry & GLE0306.4.1 Describe, compare, and analyze properties of polygons.
           and their attributes rectangles, and others may share attributes e.g., having four sides,   Measurement
                                and that the shared attributes can define a larger category e.g.,
                                quadrilaterals. Recognize rhombuses, rectangles, and squares as
                                examples of quadrilaterals, and draw examples of quadrilaterals that
                                do not belong to any of these subcategories.

                                                                                                       Geometry &     GLE0306.4.3 Understand and use attributes of 2- and 3-dimensional
                                                                                                       Measurement    figures to solve problems.
                                                                                                       Geometry &     CU0306.4.1 Describe properties of plane figures such as circles,
                                                                                                       Measurement    triangles, squares and rectangles and solid shapes such as spheres,
                                                                                                                      cubes and cylinders.
                                                                                                       Geometry &     CU0306.4.2 Classify polygons according to the number of their sides
                                                                                                       Measurement    and angles.
                                                                                                       Geometry &     CU0306.4.3 Classify lines and segments as parallel, perpendicular, or
                                                                                                       Measurement    intersecting.
                                                                                                       Geometry &     SPI0306.4.1 Recognize polygons and be able to identify examples
                                                                                                       Measurement    based on geometric definitions.
                                                                                                       Geometry &     SPI0306.4.2 Determine if two figures are congruent based on size and
                                                                                                       Measurement    shape.
                                                                                                       Mathematical   SPI0306.1.6 Identify and use vocabulary to describe attributes of two-
                                                                                                        Processes     and three-dimensional shapes.
                                                                                                        Number &      GLE0306.2.6 Use various strategies and models to compare and order
                                                                                                        Operations    fractions and identify equivalent fractions.
                                                                                                        Number &      CU0306.2.10 Understand that symbols such as 1⁄2, 1/3, and 1⁄4
                                                                                                        Operations    represent numbers called unit fractions.
                                                                                                        Number &      CU0306.2.11 Identify fractions as parts of whole units, as parts of sets,
                                                                                                        Operations    as locations on number lines, and as division of two whole numbers.

                                                                                                        Number &      CU0306.2.13 Understand that when a whole is divided into equal parts
                                                                                                        Operations    to create unit fractions, the sum of all the parts adds up to one.

                                                                                                        Number &      SPI0306.2.10 Identify equivalent fractions given by various
                                                                                                        Operations    representations.
                                                                                                        Number &      SPI0306.2.11 Recognize and use different interpretations of fractions.
                                                                                                        Operations
                                                                                                        Number &      SPI0306.2.12 Name fractions in various contexts that are less than,
                                                                                                        Operations    equal to, or greater than one.
                                                                                                          Number &     SPI0306.2.13 Recognize, compare, and order fractions benchmark
                                                                                                          Operations   fractions, common numerators, or common denominators.

Geometry   Reason with shapes G.3.2 Partition shapes into parts with equal areas. Express the area of    Mathematical GLE0306.1.5 Use mathematical ideas and processes in different
           and their attributes each part as a unit fraction of the whole. For example, partition a       Processes settings to formulate patterns, analyze graphs, set up and solve
                                shape into 4 parts with equal area, and describe the area of each part                problems and interpret solutions.
                                is 1/4 of the area of the shape.
                                                                                                                                           Correlation by Learning Expections with Aligned           Crosswalk Correlation Notes
Mathematics Common     Mathematics Common Core
                                                                  Mathematics Common Core Standard                          TN Standard    Checks for Understanding and State Performance           (Shaded rows indicated grade
    Core Domain                 Cluster
                                                                                                                                                              Indicators                                      change)


    Operations &        Use the four operations with  OA.4.1 Use the four operations with whole numbers to solve            Mathematical   SPI0406.1.1 Verify a conclusion using the
 Algebraic Thinking   whole numbers to solve problems problems. Interpret a multiplication equation as a comparison,         Processes     commutative, associative and distributive properties.
                                                      e.g., interpret 35 = 5 x 7 as a statement that 35 is 5 times as
                                                      many as 7 and 7 times as many as 5. Represent verbal
                                                      statements of multiplicative comparisons as multiplication
                                                      equations.
                                                                                                                            Mathematical   CU0406.1.4 Use commutative, associative, and
                                                                                                                             Processes     distributive properties of numbers including oral
                                                                                                                                           descriptions of mathematical reasoning.
    Operations &        Use the four operations with  OA.4.2 Use the four operations with whole numbers to solve                 Algebra   GLE0406.3.1 Extend understanding of a variable to
 Algebraic Thinking   whole numbers to solve problems problems. Multiply or divide to solve word problems involving                        equations involving whole numbers, fractions,
                                                      multiplicative comparison, e.g., by using drawings and                               decimals, and/or mixed numbers.
                                                      equations with a symbol for the unknown number to represent
                                                      the problem, distinguishing multiplicative comparison from
                                                      additive comparison.
                                                                                                                                 Algebra   CU0406.3.1 Find an unknown quantity in simple
                                                                                                                                           equations using whole numbers, fractions, decimals,
                                                                                                                                           and mixed numbers.
                                                                                                                                 Algebra   SPI0406.3.1 Use letters and symbols to represent an
                                                                                                                                           unknown quantity and write a simple mathematical
                                                                                                                                           expression.
                                                                                                                            Mathematical   GLE0406.1.1 Use mathematical language, symbols,
                                                                                                                             Processes     and definitions while developing mathematical
                                                                                                                                           reasoning.
                                                                                                                            Mathematical   GLE0406.1.6 Read and interpret the language of
                                                                                                                             Processes     mathematics and use written/oral communication to
                                                                                                                                           express mathematical ideas precisely.
                                                                                                                                 Algebra   CU0406.3.2 Translate between symbols and words to
                                                                                                                                           represent quantities in expressions or equations.
                                                                                                                                 Algebra   CU0406.3.4 Translate between symbolic, numerical,
                                                                                                                                           verbal, or pictorial representations of a whole number
                                                                                                                                           pattern or relationship.




                                                                                                                Page 94 of 180
   Operations &        Use the four operations with   OA.4.3 Use the four operations with whole numbers to solve         Mathematical   GLE0406.1.2 Apply and adapt a variety of appropriate
Algebraic Thinking       whole numbers to solve       problems. Solve multistep word problems posed with whole            Processes     strategies to problem solving, including estimation, and
                                problems.             numbers and having whole-number answers using the four                            reasonableness of the solution.
                                                      operations, including problems in which remainders must be
                                                      interpreted. Represent these problems using equations with a
                                                      letter standing for the unknown quantity. Assess the
                                                      reasonableness of answers using mental computation and
                                                      estimation strategies including rounding.

                                                                                                                          Number &      GLE0406.2.2 Develop fluency with multiplication and
                                                                                                                          Operations    single-digit division.
                                                                                                                          Number &      GLE0406.2.6 Solve problems involving whole
                                                                                                                          Operations    numbers, fractions, and/or decimals using all four
                                                                                                                                        arithmetic operations.
                                                                                                                          Number &      CU0406.2.14 Understand the role of the remainder in
                                                                                                                          Operations    division.
                                                                                                                           Algebra      SPI0406.3.1 Use letters and symbols to represent an
                                                                                                                                        unknown quantity and write a simple mathematical
                                                                                                                                        expression.
                                                                                                                         Mathematical   GLE0406.1.1 Use mathematical language, symbols,
                                                                                                                          Processes     and definitions while developing mathematical
                                                                                                                                        reasoning.
                                                                                                                         Mathematical   GLE0406.1.4 Move flexibly between concrete and
                                                                                                                          Processes     abstract representations of mathematical ideas in order
                                                                                                                                        to solve problems, model mathematical ideas, and
                                                                                                                                        communicate solution strategies.
                                                                                                                         Mathematical   CU0406.1.2 Identify the range of appropriate
                                                                                                                          Processes     estimates, including over-estimate and under-estimate.

   Operations &        Use the four operations with  OA.4.4 Gain familiarity with factors and multiples. Find all         Number &      GLE0406.2.3 Identify prime and composite numbers.
Algebraic Thinking   whole numbers to solve problems factor pairs for a whole number in the range 1-100.                  Operations
                                                     Recognize that a whole number is a multiple of each of its
                                                     factors. Determine whether a given whole number in the
                                                     range 1-100 is a multiple of a given one-digit number.
                                                     Determine whether a given whole number in the range 1-100
                                                     is prime or composite.
                                                                                                                          Number &      CU0406.2.4 Understand and use a reliable algorithm
                                                                                                                          Operations    for multiplying multi-digit numbers and dividing
                                                                                                                                        numbers by a single-digit divisor accurately and
                                                                                                                                        efficiently.
                                                                                                                          Number &      CU0406.2.7 Identify factors of whole numbers and
                                                                                                                          Operations    model factors and products beyond basic multiplication
                                                                                                                                        facts using arrays and area models.
                                                                                                                          Number &      SPI0406.2.4 Find factors, common factors, multiples,
                                                                                                                         OperationsM    and common multiples of two numbers.


                                                                                                             Page 95 of 180
                                                                                                                                               GLE0406.1.1 Use mathematical language, symbols,
                                                                                                                                               and definitions while developing mathematical
                                                                                                                                               reasoning.
   Operations &      Generate and analyze patterns    OA.4.5 Generate and analyze patterns. Generate a number                  Mathematical    GLE0406.1.2 Apply and adapt a variety of appropriate
Algebraic Thinking                                    or shape pattern that follows a given rule. Identify apparent             Processes      strategies to problem solving, including estimation, and
                                                      features of the pattern that were not explicit in the rule itself.                       reasonableness of the solution.
                                                      For example, given the rule “Add 3” and the starting number
                                                      1, generate terms in the resulting sequence and observe that
                                                      the terms appear to alternate between odd and even
                                                      numbers. Explain informally why the numbers will continue to
                                                      alternate in this way.
                                                                                                                               Mathematical    GLE0406.1.5 Use mathematical ideas and processes
                                                                                                                                Processes      in different settings to formulate patterns, analyze
                                                                                                                                               graphs, set up and solve problems and interpret
                                                                                                                                               solutions.
                                                                                                                                    Algebra    GLE0406.3.2 Use mathematical language and
                                                                                                                                               modeling to develop descriptions, rules and extensions
                                                                                                                                               of patterns.
                                                                                                                                    Algebra    CU0406.3.3 Create, explain and use a rule to generate
                                                                                                                                               terms of a pattern or sequence.
                                                                                                                                    Algebra    SPI0406.3.2 Make generalizations about geometric
                                                                                                                                               and numeric patterns.
                                                                                                                                    Algebra    SPI0406.3.3 Represent and analyze patterns using
                                                                                                                                               words, function tables, and graphs.
   Numbers &            Generalize place value        NBT.4.1 Generalize place value understanding for multi-digit             Mathematical    GLE0406.1.1 Use mathematical language, symbols,
Operations in Base    understanding for multi-digit   whole numbers. Recognize that in a multi-digit whole number,              Processes      and definitions while developing mathematical
       Ten                 whole numbers              a digit in one place represents ten times what it represents in                          reasoning.
                                                      the place to its right. For example, recognize that 700 ÷ 70 =
                                                      10 by applying concepts of place value and division. (Grade
                                                      4 expectations in this domain are limited to whole numbers
                                                      less than or equal to 1,000,000.)

                                                                                                                                Number &      GLE0406.2.1 Understand place value of numbers from
                                                                                                                            Operationsumber & hundredths to the hundred-thousands place.
                                                                                                                            OperatioNumber &
                                                                                                                               Operationss

                                                                                                                                Number &      CU0406.2.1 Compose and decompose quantities
                                                                                                                            Operationsumber & according to place value.
                                                                                                                            OperatioNumber &
                                                                                                                               Operationss




                                                                                                                   Page 96 of 180
   Numbers &            Generalize place value         NBT.4.2 Generalize place value understanding for multi-digit          Mathematical   GLE0406.1.6 Read and interpret the language of
Operations in Base    understanding for multi-digit    whole numbers. Read and write multi-digit whole numbers                Processes     mathematics and use written/oral communication to
       Ten                 whole numbers               using base-ten numerals, number names, and expanded                                  express mathematical ideas precisely.
                                                       form. Compare two multi-digit numbers based on meanings of
                                                       the digits in each place, using >, =, and < symbols to record
                                                       the results of comparisons. (Grade 4 expectations in this
                                                       domain are limited to whole numbers less than or equal to
                                                       1,000,000.)
                                                                                                                              Number &      CU0306.2.1 Represent whole numbers up to 10,000           Common Core Standard is one
                                                                                                                              Operations    using various models such as base-ten blocks, number      grade above TN Check for
                                                                                                                                            lines, place-value charts and in standard form, written   Understanding.
                                                                                                                                            form, and expanded form.
                                                                                                                              Number &      CU0306.2.2 Understand and use the symbols =, < and        Common Core Standard is one
                                                                                                                              Operations    > to signify order and comparison.                        grade above TN Check for
                                                                                                                                                                                                      Understanding.
                                                                                                                              Number &      SPI0406.2.1 Read and write numbers from hundredths
                                                                                                                              Operations    to hundred-thousands in numerals and in words.

                                                                                                                              Number &      SPI0406.2.3 Identify the place value of a specified digit
                                                                                                                              Operations    in a number and the quantity it represents.
                                                                                                                             Mathematical   GLE0406.1.5 Use mathematical ideas and processes
                                                                                                                              Processes     in different settings to formulate patterns, analyze
                                                                                                                                            graphs, set up and solve problems and interpret
                                                                                                                                            solutions.
                                                                                                                                  Algebra   GLE0406.3.3 Translate between different forms of
                                                                                                                                            representations of whole number relationships.
   Numbers &            Generalize place value         NBT.4.3 Generalize place value understanding for multi-digit          Mathematical   GRADE 5: CU0506.1.3 Explore different methods of          Common Core Standard is one
Operations in Base    understanding for multi-digit    whole numbers. Use place value understanding to round                  Processes     estimation including rounding and truncating.             grade below TN Check for
       Ten                 whole numbers               multi-digit whole numbers to any place. (Grade 4                                                                                               Understanding.
                                                       expectations in this domain are limited to whole numbers less
                                                       than or equal to 1,000,000.)
                                                                                                                             Mathematical   CU0406.1.2 Identify the range of appropriate
                                                                                                                              Processes     estimates, including over-estimate and under-estimate.

   Numbers &         Use place value understanding     NBT.4.4 Use place value understanding and properties of                Number &      GRADE 2: GLE0206.2.3 Use efficient and accurate           *** Common Core Standard is two
Operations in Base   and properties of operations to   operations to perform multi-digit arithmetic. Fluently add and         Operations    strategies to develop fluency with multi-digit addition   grades above TN GLE.
       Ten            perform multi-digit arithmetic   subtract multi-digit whole numbers using the standard                                and subtraction.
                                                       algorithm. (Grade 4 expectations in this domain are limited to
                                                       whole numbers less than or equal to 1,000,000. A range of
                                                       algorithms may be used.)

                                                                                                                              Number &      GLE0406.2.6 Solve problems involving whole
                                                                                                                              Operations    numbers, fractions, and/or decimals using all four
                                                                                                                                            arithmetic operations.




                                                                                                                 Page 97 of 180
   Numbers &         lace value understanding and      NBT.4.5 Use place value understanding and properties of                Number &      GLE0406.2.2 Develop fluency with multiplication and
Operations in Base     properties of operations to     operations to perform multi-digit arithmetic. Multiply a whole         Operations    single-digit division.
       Ten            perform multi-digit arithmetic   number of up to four digits by a one-digit whole number, and
                                                       multiply two two-digit numbers, using strategies based on
                                                       place value and the properties of operations. Illustrate and
                                                       explain the calculation by using equations, rectangular arrays,
                                                       and/or area models. (Grade 4 expectations in this domain
                                                       are limited to whole numbers less than or equal to 1,000,000.
                                                       A range of algorithms may be used.)



                                                                                                                              Number &      CU0406.2.3 Multiply two- and three-digit whole
                                                                                                                              Operations    numbers.
                                                                                                                              Number &      CU0406.2.4 Understand and use a reliable algorithm
                                                                                                                              Operations    for multiplying multi-digit numbers and dividing
                                                                                                                                            numbers by a single-digit divisor accurately and
                                                                                                                                            efficiently.
                                                                                                                              Number &      CU0406.2.10 Use models to understand division as the
                                                                                                                              Operations    inverse of multiplication, partitioning, and repeated
                                                                                                                                            subtraction.
                                                                                                                              Number &      SPI0406.2.11 Solve problems using whole number
                                                                                                                              Operations    multi-digit multiplication.
                                                                                                                             Mathematical   GLE0406.1.2 Apply and adapt a variety of appropriate
                                                                                                                              Processes     strategies to problem solving, including estimation, and
                                                                                                                                            reasonableness of the solution.
                                                                                                                             Mathematical   CU0406.1.10 Use age-appropriate books, stories, and
                                                                                                                              Processes     videos to convey ideas of mathematics.
                                                                                                                              Geometry &    CU0406.4.9 Recognize that area does not change
                                                                                                                             Measurement    when 2-dimensional figures are cut apart and
                                                                                                                                            rearranged.
                                                                                                                              Geometry &    CU0406.4.10 Connect area measure to multiplication
                                                                                                                             Measurement    using a rectangular area model.
                                                                                                                              Geometry &    SPI0406.4.9 Solve problems involving area and/or
                                                                                                                             Measurement    perimeter of rectangular figures.




                                                                                                                 Page 98 of 180
    Numbers &             lace value understanding and      NBT.4.6 Use place value understanding and properties of                Mathematical   GLE0406.1.2 Apply and adapt a variety of appropriate
 Operations in Base         properties of operations to     operations to perform multi-digit arithmetic. Find whole-               Processes     strategies to problem solving, including estimation, and
        Ten                perform multi-digit arithmetic   number quotients and remainders with up to four-digit                                 reasonableness of the solution.
                                                            dividends and one-digit divisors, using strategies based on
                                                            place value, the properties of operations, and/or the
                                                            relationship between multiplication and division. Illustrate and
                                                            explain the calculation by using equations, rectangular arrays,
                                                            and/or area models. (Grade 4 expectations in this domain
                                                            are limited to whole numbers less than or equal to 1,000,000.
                                                            A range of algorithms may be used.)

                                                                                                                                     Number &     GLE0406.2.2 Develop fluency with multiplication and
                                                                                                                                    Operations    single-digit division.
                                                                                                                                     Number &     CU0406.2.14 Understand the role of the remainder in
                                                                                                                                    Operations    division.
                                                                                                                                     Number &     CU0406.2.6 Divide three-digit whole numbers by one-
                                                                                                                                    Operations    digit divisors fluently with pencil and paper.
                                                                                                                                     Number &     SPI0406.2.4 Find factors, common factors, multiples,
                                                                                                                                    Operations    and common multiples of two numbers.
                                                                                                                                     Number &     SPI0406.2.12 Solve problems using whole number
                                                                                                                                    Operations    division with one- or two-digit divisors.
                                                                                                                                   Mathematical   CU0406.1.10 Use age-appropriate books, stories, and
                                                                                                                                    Processes     videos to convey ideas of mathematics.
                                                                                                                                    Geometry &    CU0406.4.10 Connect area measure to multiplication
                                                                                                                                   Measurement    using a rectangular area model.
                                                                                                                                    Geometry &    SPI0406.4.9 Solve problems involving area and/or
                                                                                                                                   Measurement    perimeter of rectangular figures.
    Numbers &         Extend understanding of fraction NF.4.1 Extend understanding of fraction equivalence and                     Mathematical   GLE0406.1.4 Move flexibly between concrete and
Operations: Fractions    equivalence and ordering      ordering. Explain why a fraction a/b is equivalent to a fraction             Processes     abstract representations of mathematical ideas in order
                                                       (n × a)/(n × b) by using visual fraction models, with attention                            to solve problems, model mathematical ideas, and
                                                       to how the number and size of the parts differ even though                                 communicate solution strategies.
                                                       the two fractions themselves are the same size. Use this
                                                       principle to recognize and generate equivalent fractions.
                                                       (Grade 4 expectations in this domain are limited to fractions
                                                       with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.)

                                                                                                                                   Mathematical   GLE0406.1.8 Use technologies/manipulatives
                                                                                                                                    Processes     appropriately to develop understanding of
                                                                                                                                                  mathematical algorithms, to facilitate problem solving,
                                                                                                                                                  and to create accurate and reliable models of
                                                                                                                                                  mathematical concepts.
                                                                                                                                   Mathematical   GLE0406.1.5 Use mathematical ideas and processes
                                                                                                                                    Processes     in different settings to formulate patterns, analyze
                                                                                                                                                  graphs, set up and solve problems and interpret
                                                                                                                                                  solutions.


                                                                                                                       Page 99 of 180
                                                                                                                                  Number &      CU0406.2.9 Compare equivalent forms whole
                                                                                                                                  Operations    numbers, fractions, and decimals to each other and to
                                                                                                                                                benchmark numbers.
                                                                                                                                 Mathematical   CU0406.1.10 Use age-appropriate books, stories, and
                                                                                                                                  Processes     videos to convey ideas of mathematics.
    Numbers &         Extend understanding of fraction NF.4.2 Extend understanding of fraction equivalence and                   Mathematical   GLE0406.1.1 Use mathematical language, symbols,
Operations: Fractions    equivalence and ordering      ordering. Compare two fractions with different numerators                  Processes     and definitions while developing mathematical
                                                       and different denominators, e.g., by creating common                                     reasoning.
                                                       denominators or numerators, or by comparing to a
                                                       benchmark fraction such as 1/2. Recognize that comparisons
                                                       are valid only when the two fractions refer to the same whole.
                                                       Record the results of comparisons with symbols >, =, or <,
                                                       and justify the conclusions, e.g., by using a visual fraction
                                                       model. (Grade 4 expectations in this domain are limited to
                                                       fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.)

                                                                                                                                 Mathematical   GLE0406.1.4 Move flexibly between concrete and
                                                                                                                                  Processes     abstract representations of mathematical ideas in order
                                                                                                                                                to solve problems, model mathematical ideas, and
                                                                                                                                                communicate solution strategies.
                                                                                                                                 Mathematical   GLE0406.1.8 Use technologies/manipulatives
                                                                                                                                  Processes     appropriately to develop understanding of
                                                                                                                                                mathematical algorithms, to facilitate problem solving,
                                                                                                                                                and to create accurate and reliable models of
                                                                                                                                                mathematical concepts.
                                                                                                                                  Number &      CU0406.2.11 Use models, benchmarks, and
                                                                                                                                  Operations    equivalent forms to compare fractions/decimals and
                                                                                                                                                locate them on the number line.
                                                                                                                                  Number &      SPI0406.2.5 Generate equivalent forms of common
                                                                                                                                  Operations    fractions and decimals and use them to compare size.

                                                                                                                                 Mathematical   GLE0406.1.6 Read and interpret the language of
                                                                                                                                  Processes     mathematics and use written/oral communication to
                                                                                                                                                express mathematical ideas precisely.
    Numbers &         Build fractions from unit fractions   NF.4.3 Build fractions from unit fractions by applying and            Number &      GRADE 3: SPI0306.2.13 Recognize, compare, and             Common Core Standard is one
Operations: Fractions    by applying and extending          extending previous understandings of operations on whole              Operations    order fractions benchmark fractions, common               grade above TN SPI.
                        previous understandings of          numbers. Understand a fraction a/b with a > 1 as a sum of                           numerators, or common denominators.
                       operations on whole numbers          fractions 1/b. (Grade 4 expectations in this domain are limited
                                                            to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and
                                                            100.)




                                                                                                                     Page 100 of 180
    Numbers &         Build fractions from unit fractions NF.4.3.a Understand addition and subtraction of fractions as            Number &      SPI0406.2.8 Add and subtract proper fractions with like
Operations: Fractions    by applying and extending        joining and                                                             Operations    and unlike denominators and simplify the answer.
                        previous understandings of        separating parts referring to the same whole.
                       operations on whole numbers




                                                                                                                                  Number &      GLE0406.2.5 Add and subtract fractions with like and
                                                                                                                                  Operations    unlike denominators.
                                                                                                                                  Number &      GLE0406.2.6 Solve problems involving whole
                                                                                                                                  Operations    numbers, fractions, and/or decimals using all four
                                                                                                                                                arithmetic operations.
    Numbers &         Build fractions from unit fractions   NF.4.3.b Decompose a fraction into a sum of fractions with            Number &      GRADE 3: SPI0306.2.13 Recognize, compare, and             Common Core Standard is one
Operations: Fractions    by applying and extending          the same denominator in more than one way, recording each             Operations    order fractions benchmark fractions, common               grade above TN SPI.
                        previous understandings of          decomposition by an equation. Justify decompositions, e.g.,                         numerators, or common denominators.
                       operations on whole numbers          by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 +
                                                            1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.




                                                                                                                                 Mathematical   GLE0406.1.8 Use technologies/manipulatives
                                                                                                                                  Processes     appropriately to develop understanding of
                                                                                                                                                mathematical algorithms, to facilitate problem solving,
                                                                                                                                                and to create accurate and reliable models of
                                                                                                                                                mathematical concepts.
    Numbers &         Build fractions from unit fractions   NF.4.3.c Add and subtract mixed numbers with like                     Number &      GLE0406.2.5 Add and subtract fractions with like and
Operations: Fractions    by applying and extending          denominators, e.g., by replacing each mixed number with an            Operations    unlike denominators.
                        previous understandings of          equivalent fraction, and/or by using properties of operations
                       operations on whole numbers          and the relationship between addition and subtraction.



                                                                                                                                  Number &      SPI0406.2.8 Add and subtract proper fractions with like
                                                                                                                                  Operations    and unlike denominators and simplify the answer.

                                                                                                                                 Mathematical   GLE0406.1.8 Use technologies/manipulatives
                                                                                                                                  Processes     appropriately to develop understanding of
                                                                                                                                                mathematical algorithms, to facilitate problem solving,
                                                                                                                                                and to create accurate and reliable models of
                                                                                                                                                mathematical concepts.




                                                                                                                     Page 101 of 180
    Numbers &         Build fractions from unit fractions   NF.3d Solve word problems involving addition and                             Algebra   GLE0406.3.1 Extend understanding of a variable to
Operations: Fractions    by applying and extending          subtraction of fractions referring to the same whole and                               equations involving whole numbers, fractions,
                        previous understandings of          having like denominators, e.g., by using visual fraction                               decimals, and/or mixed numbers.
                       operations on whole numbers          models and equations to represent the problem.

                                                                                                                                   Mathematical    GLE0406.1.4 Move flexibly between concrete and
                                                                                                                                    Processes      abstract representations of mathematical ideas in order
                                                                                                                                                   to solve problems, model mathematical ideas, and
                                                                                                                                                   communicate solution strategies.
                                                                                                                                   Mathematical    GLE0406.1.8 Use technologies/manipulatives
                                                                                                                                    Processes      appropriately to develop understanding of
                                                                                                                                                   mathematical algorithms, to facilitate problem solving,
                                                                                                                                                   and to create accurate and reliable models of
                                                                                                                                                   mathematical concepts.
                                                                                                                                         Algebra   CU0406.3.1 Find an unknown quantity in simple
                                                                                                                                                   equations using whole numbers, fractions, decimals,
                                                                                                                                                   and mixed numbers.
    Numbers &         Build fractions from unit fractions   NF.4.4 Build fractions from unit fractions by applying and             Mathematical    GLE0406.1.3 Develop independent reasoning to
Operations: Fractions    by applying and extending          extending previous understandings of operations on whole                Processes      communicate mathematical ideas and derive
                        previous understandings of          numbers. Apply and extend previous understandings of                                   algorithms and/or formulas.
                       operations on whole numbers          multiplication to multiply a fraction by a whole number. (Grade
                                                            4 expectations in this domain are limited to fractions with
                                                            denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.)

                                                                                                                                    Number &       CU0406.2.13 Solve multi-step problems of various
                                                                                                                                    Operations     types using whole numbers, fractions, and decimals.

    Numbers &         Build fractions from unit fractions   NF.4.4.a Understand a fraction a/b as a multiple of 1/b. For           Mathematical    GLE0406.1.3 Develop independent reasoning to
Operations: Fractions    by applying and extending          example, use a visual fraction model to represent 5/4 as the            Processes      communicate mathematical ideas and derive
                        previous understandings of          product 5 × (1/4), recording the conclusion by the equation                            algorithms and/or formulas.
                       operations on whole numbers          5/4 = 5 × (1/4).


                                                                                                                                   Mathematical    GLE0406.1.1 Use mathematical language, symbols,
                                                                                                                                    Processes      and definitions while developing mathematical
                                                                                                                                                   reasoning.
                                                                                                                                   Mathematical    GLE0406.1.4 Move flexibly between concrete and
                                                                                                                                    Processes      abstract representations of mathematical ideas in order
                                                                                                                                                   to solve problems, model mathematical ideas, and
                                                                                                                                                   communicate solution strategies.
                                                                                                                                    Number &       CU0406.2.13 Solve multi-step problems of various
                                                                                                                                    Operations     types using whole numbers, fractions, and decimals.




                                                                                                                       Page 102 of 180
    Numbers &         Build fractions from unit fractions   NF.4.4.b Understand a multiple of a/b as a multiple of 1/b,           Mathematical   GLE0406.1.1 Use mathematical language, symbols,
Operations: Fractions    by applying and extending          and use this understanding to multiply a fraction by a whole           Processes     and definitions while developing mathematical
                        previous understandings of          number. For example, use a visual fraction model to express                          reasoning.
                       operations on whole numbers          3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In
                                                            general, n × (a/b) = (n × a)/b.)

                                                                                                                                  Mathematical   GLE0406.1.3 Develop independent reasoning to
                                                                                                                                   Processes     communicate mathematical ideas and derive
                                                                                                                                                 algorithms and/or formulas.
                                                                                                                                  Mathematical   GLE0406.1.4 Move flexibly between concrete and
                                                                                                                                   Processes     abstract representations of mathematical ideas in order
                                                                                                                                                 to solve problems, model mathematical ideas, and
                                                                                                                                                 communicate solution strategies.
                                                                                                                                   Number &      CU0406.2.13 Solve multi-step problems of various
                                                                                                                                   Operations    types using whole numbers, fractions, and decimals.

    Numbers &         Build fractions from unit fractions   NF.4.4.c Solve word problems involving multiplication of a            Mathematical   GLE0406.1.1 Use mathematical language, symbols,
Operations: Fractions    by applying and extending          fraction by a whole number, e.g., by using visual fraction             Processes     and definitions while developing mathematical
                        previous understandings of          models and equations to represent the problem. For example,                          reasoning.
                       operations on whole numbers          if each person at a party will eat 3/8 of a pound of roast beef,
                                                            and there will be 5 people at the party, how many pounds of
                                                            roast beef will be needed? Between what two whole numbers
                                                            does your answer lie?
                                                                                                                                  Mathematical   GLE0406.1.3 Develop independent reasoning to
                                                                                                                                   Processes     communicate mathematical ideas and derive
                                                                                                                                                 algorithms and/or formulas.
                                                                                                                                  Mathematical   GLE0406.1.4 Move flexibly between concrete and
                                                                                                                                   Processes     abstract representations of mathematical ideas in order
                                                                                                                                                 to solve problems, model mathematical ideas, and
                                                                                                                                                 communicate solution strategies.
                                                                                                                                   Number &      CU0406.2.13 Solve multi-step problems of various
                                                                                                                                   Operations    types using whole numbers, fractions, and decimals.

    Numbers &            Understand decimal notation for NF.4.5 Express a fraction with denominator 10 as an                       Number &      SPI0406.2.9 Add and subtract decimals through
Operations: Fractions    fractions, and compare decimal equivalent fraction withdenominator 100, and use this                      Operations    hundredths.
                                     fractions           technique to add two fractions with respective denominators
                                                         10 and 100.




                                                                                                                      Page 103 of 180
    Numbers &           Understand decimal notation for NF.4.6 Use decimal notation for fractions with denominators        Mathematical   GLE0406.1.8 Use technologies/manipulatives
Operations: Fractions   fractions, and compare decimal 10 or 100.                                                           Processes     appropriately to develop understanding of
                                    fractions                                                                                             mathematical algorithms, to facilitate problem solving,
                                                                                                                                          and to create accurate and reliable models of
                                                                                                                                          mathematical concepts.


                                                                                                                           Mathematical   SPI0406.1.2 Compare decimals using concrete and
                                                                                                                            Processes     pictorial representations.
                                                                                                                            Number &      SPI0406.2.2 Locate and place mixed numbers on the
                                                                                                                            Operations    number line.
                                                                                                                            Number &      GLE0406.2.6 Solve problems involving whole
                                                                                                                            Operations    numbers, fractions, and/or decimals using all four
                                                                                                                                          arithmetic operations.
                                                                                                                            Geometry &    CU0406.4.6 Recognize the use of decimals in metric
                                                                                                                           Measurement    measures.

    Numbers &           Understand decimal notation for NF.4.7 Compare two decimals to hundredths by reasoning             Mathematical   GLE0406.1.3 Develop independent reasoning to
Operations: Fractions   fractions, and compare decimal about their size. Recognize that comparisons are valid only          Processes     communicate mathematical ideas and derive
                                    fractions           when the two decimals refer to the same whole.                                    algorithms and/or formulas.




                                                                                                                           Mathematical   GLE0406.1.7 Recognize the historical development of
                                                                                                                            Processes     mathematics, mathematics in context, and the
                                                                                                                                          connections between mathematics and the real world.

                                                                                                                            Number &      GLE0406.2.4 Understand and use the connections
                                                                                                                            Operations    between fractions and decimals.
                                                                                                                           Mathematical   CU0406.1.1 Understand the relationship between use
                                                                                                                            Processes     of answers and the accuracy of the number.
                                                                                                                            Number &      CU0406.2.8 Generate equivalent forms of whole
                                                                                                                            Operations    numbers, decimals, and common fractions e.g., 1/10,
                                                                                                                                          1⁄4, 1⁄2, 3⁄4.
                                                                                                                            Number &      CU0406.2.12 Understand and use decimal numbers up
                                                                                                                            Operations    to hundredths and write them as fractions.
                                                                                                                           Mathematical   SPI0406.1.2 Compare decimals using concrete and
                                                                                                                            Processes     pictorial representations.




                                                                                                               Page 104 of 180
                                                                                                                              Number &      SPI0406.2.6 Use the symbols < , > and = to compare
                                                                                                                              Operations    common fractions and decimals in both increasing and
                                                                                                                                            decreasing order.
Measurement & Data      Solve problems involving       MD.4.1 Solve problems involving measurement and                       Mathematical   GLE0406.1.3 Develop independent reasoning to
                     measurement and conversion of     conversion of measurements from a larger unit to a smaller             Processes     communicate mathematical ideas and derive
                     measurements from a larger unit   unit. Know relative sizes of measurement units within one                            algorithms and/or formulas.
                            to a smaller unit          system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr,
                                                       min, sec. Within a single system of measurement, express
                                                       measurements in a larger unit in terms of a smaller unit.
                                                       Record measurement equivalents in a two-column table. For
                                                       example: Know that 1 ft is 12 times as long as 1 in. Express
                                                       the length of a 4 ft snake as 48 in. Generate a conversion
                                                       table for feet and inches listing the number pairs (1, 12), (2,
                                                       24), (3, 36), ….
                                                                                                                             Mathematical   CU0406.1.5 Measure using ruler, meter stick, clock,
                                                                                                                              Processes     thermometer, or other scaled instruments.
                                                                                                                             Mathematical   CU0406.1.6 Identify geometric or physical attributes
                                                                                                                              Processes     that are appropriate to measure in a given situation.
                                                                                                                             Mathematical   CU0406.1.10 Use age-appropriate books, stories, and
                                                                                                                              Processes     videos to convey ideas of mathematics.
                                                                                                                              Geometry &    CU0406.4.6 Recognize the use of decimals in metric
                                                                                                                             Measurement    measures.
                                                                                                                              Geometry &    CU0406.4.7 Measure liquids using both standard units
                                                                                                                             Measurement    and metric units.
                                                                                                                              Geometry &    CU0406.4.12 Estimate the size of an object with
                                                                                                                             Measurement    respect to a given measurement attribute length,
                                                                                                                                            perimeter, area, or capacity.
                                                                                                                              Geometry &    CU0406.4.13 Compare objects with respect to a given
                                                                                                                             Measurement    attribute such as length, area, and capacity.
                                                                                                                              Geometry &    GLE0406.4.2 Understand and use measures of length,
                                                                                                                             Measurement    area, capacity, and weight.
                                                                                                                              Geometry &    GLE0406.4.3 Solve problems that involve estimating
                                                                                                                             Measurement    and measuring length, area, capacity and weight.
                                                                                                                              Geometry &    SPI0406.4.7 Determine appropriate size of unit of
                                                                                                                             Measurement    measurement in problem situations involving length,
                                                                                                                                            capacity or weight.
                                                                                                                              Geometry &    SPI0406.4.8 Convert measurements within a
                                                                                                                             Measurement    sinGLEsystem that are common in daily life e.g., hours
                                                                                                                                            and minutes, inches and feet, centimeters and meters,
                                                                                                                                            quarts and gallons, liters and milliliters.




                                                                                                                 Page 105 of 180
Measurement & Data      Solve problems involving       MD.4.2 Solve problems involving measurement and                      Mathematical   GLE0406.1.1 Use mathematical language, symbols,
                     measurement and conversion of     conversion of measurements from a larger unit to a smaller            Processes     and definitions while developing mathematical
                     measurements from a larger unit   unit. Use the four operations to solve word problems involving                      reasoning.
                            to a smaller unit          distances, intervals of time, liquid volumes, masses of
                                                       objects, and money, including problems involving simple
                                                       fractions or decimals, and problems that require expressing
                                                       measurements given in a larger unit in terms of a smaller
                                                       unit. Represent measurement quantities using diagrams such
                                                       as number line diagrams that feature a measurement scale.

                                                                                                                            Mathematical   GLE0406.1.4 Move flexibly between concrete and
                                                                                                                             Processes     abstract representations of mathematical ideas in order
                                                                                                                                           to solve problems, model mathematical ideas, and
                                                                                                                                           communicate solution strategies.
                                                                                                                            Mathematical   GLE0406.1.7 Recognize the historical development of
                                                                                                                             Processes     mathematics, mathematics in context, and the
                                                                                                                                           connections between mathematics and the real world.

                                                                                                                             Geometry &    GLE0406.4.3 Solve problems that involve estimating
                                                                                                                            Measurement    and measuring length, area, capacity and weight.
                                                                                                                            Mathematical   CU0406.1.5 Measure using ruler, meter stick, clock,
                                                                                                                             Processes     thermometer, or other scaled instruments.
                                                                                                                            Mathematical   CU0406.1.6 Identify geometric or physical attributes
                                                                                                                             Processes     that are appropriate to measure in a given situation.
                                                                                                                            Mathematical   CU0406.1.7 Translate the details of a contextual
                                                                                                                             Processes     problem into diagrams and/or numerical expressions,
                                                                                                                                           and express answers using appropriate units.

                                                                                                                             Geometry &    CU0406.4.7 Measure liquids using both standard units
                                                                                                                            Measurement    and metric units.
                                                                                                                              Number &     SPI0406.2.10 Solve contextual problems using whole
                                                                                                                             Operations    numbers, fractions, and decimals.
                                                                                                                             Geometry &    SPI0406.4.6 Determine situations in which a highly
                                                                                                                            Measurement    accurate measurement is important.
                                                                                                                             Geometry &    SPI0406.4.7 Determine appropriate size of unit of
                                                                                                                            Measurement    measurement in problem situations involving length,
                                                                                                                                           capacity or weight.
Measurement & Data      Solve problems involving       MD.4.3 Solve problems involving measurement and                      Mathematical   GLE0406.1.7 Recognize the historical development of
                     measurement and conversion of     conversion of measurements from a larger unit to a smaller            Processes     mathematics, mathematics in context, and the
                     measurements from a larger unit   unit. Apply the area and perimeter formulas for rectangles in                       connections between mathematics and the real world.
                            to a smaller unit          real world and mathematical problems. For example, find the
                                                       width of a rectangular room given the area of the flooring and
                                                       the length, by viewing the area formula as a multiplication
                                                       equation with an unknown factor.



                                                                                                                Page 106 of 180
                                                                                                                           Mathematical        GLE0406.1.2 Apply and adapt a variety of appropriate
                                                                                                                            Processes          strategies to problem solving, including estimation, and
                                                                                                                                               reasonableness of the solution.
                                                                                                                            Geometry &         CU0406.4.8 Recognize that a measure of area
                                                                                                                           Measurement         represents the total number of same-sized units /that
                                                                                                                                               cover the shape without gaps or overlaps.
                                                                                                                            Geometry &         CU0406.4.11 Estimate areas of rectangles in square
                                                                                                                           Measurement         inches and square centimeters.
                                                                                                                            Geometry &         SPI0406.4.9 Solve problems involving area and/or
                                                                                                                           Measurement         perimeter of rectangular figures.
Measurement & Data   Represent and interpret data   MD.4.4 Represent and interpret data. Make a line plot to               Mathematical        GLE0406.1.3 Develop independent reasoning to
                                                    display a data set of measurements in fractions of a unit (1/2,         Processes          communicate mathematical ideas and derive
                                                    1/4, 1/8). Solve problems involving addition and subtraction of                            algorithms and/or formulas.
                                                    fractions by using information presented in line plots. For
                                                    example, from a line plot find and interpret the difference in
                                                    length between the longest and shortest specimens in an
                                                    insect collection.
                                                                                                                        Data, Probability, & GLE0406.5.1 Collect, record, arrange, present, and
                                                                                                                             Statistics      interpret data using tables and various representations.

                                                                                                                        Data, Probability, & SPI0406.5.1 Depict data using various representations
                                                                                                                             Statistics      e.g., tables, pictographs, line graphs, bar graphs.

                                                                                                                        Data, Probability, &   SPI0406.5.2 Solve problems using estimation and
                                                                                                                             Statistics        comparison within a sinGLEset of data.
Measurement & Data     Geometric measurement:       MD.4.5 Geometric measurement: understand concepts of                   Geometry &          GLE0406.4.1 Understand and use the properties of
                     understand concepts of angle   angle and measure angles. Recognize angles as geometric               Measurement          lines, segments, angles, polygons, and circles.
                         and measure angles         shapes that are formed wherever two rays share a common
                                                    endpoint, and understand concepts of angle measurement:
                                                      -- a. An angle is measured with reference to a circle with its
                                                    center at the common endpoint of the rays, by considering
                                                    the fraction of the circular arc between the points where the
                                                    two rays intersect the circle. An angle that turns through
                                                    1/360 of a circle is called a “one-degree angle,” and can be
                                                    used to measure angles.
                                                      -- b. An angle that turns through n one-degree angles is
                                                    said to have an angle measure of n degrees.

                                                                                                                           Mathematical        GLE0406.1.7 Recognize the historical development of
                                                                                                                            Processes          mathematics, mathematics in context, and the
                                                                                                                                               connections between mathematics and the real world.

                                                                                                                            Geometry &         GLE0406.4.2 Understand and use measures of length,
                                                                                                                           Measurement         area, capacity, and weight.




                                                                                                               Page 107 of 180
                                                                                                                             Geometry &          CU0406.4.2 Understand the definition of degree as it
                                                                                                                            Measurement          relates to the circle.
                                                                                                                          Data, Probability, &   CU0406.5.3 Interpret and prepare pie charts using
                                                                                                                               Statistics        appropriate measurements of angles.
                                                                                                                             Geometry &          SPI0406.4.6 Determine situations in which a highly
                                                                                                                            Measurement          accurate measurement is important.
Measurement & Data     Geometric measurement:         MD.4.6 Geometric measurement: understand concepts of                   Geometry &          GLE0406.4.1 Understand and use the properties of
                     understand concepts of angle     angle and measure angles. Measure angles in whole-number              Measurement          lines, segments, angles, polygons, and circles.
                         and measure angles           degrees using a protractor. Sketch angles of specified
                                                      measure.
                                                                                                                              Geometry &         CU0406.4.4 Measure and draw angles.
                                                                                                                             Measurement
Measurement & Data     Geometric measurement:         MD.4.7 Geometric measurement: understand concepts of                    Geometry &         CU0406.4.4 Measure and draw angles.
                     understand concepts of angle     angle and measure angles. Recognize angle measure as                   Measurement
                         and measure angles           additive. When an angle is decomposed into non-overlapping
                                                      parts, the angle measure of the whole is the sum of the angle
                                                      measures of the parts. Solve addition and subtraction
                                                      problems to find unknown angles on a diagram in real world
                                                      and mathematical problems, e.g., by using an equation with a
                                                      symbol for the unknown angle measure.

                                                                                                                             Geometry &          SPI0406.4.6 Determine situations in which a highly
                                                                                                                            Measurement          accurate measurement is important.
                                                                                                                          Data, Probability, &   CU0406.5.3 Interpret and prepare pie charts using
                                                                                                                               Statistics        appropriate measurements of angles.
    Geometry          Draw and identify lines and     G.4.1 Draw and identify lines and angles, and classify shapes          Geometry &          GLE0406.4.1 Understand and use the properties of
                     angles, and classify shapes by   by properties of their lines and angles. Draw points, lines, line     Measurement          lines, segments, angles, polygons, and circles.
                      properties of their lines and   segments, rays, angles (right, acute, obtuse), and
                                 angles               perpendicular and parallel lines. Identify these in two-
                                                      dimensional figures.
                                                                                                                              Geometry &         GLE0406.4.4 Understand the representation of
                                                                                                                             Measurement         location and movement within the first quadrant of a
                                                                                                                                                 coordinate system.
                                                                                                                             Mathematical        GLE0406.1.7 Recognize the historical development of
                                                                                                                              Processes          mathematics, mathematics in context, and the
                                                                                                                                                 connections between mathematics and the real world.

                                                                                                                                                 GLE0406.1.8 Use technologies/manipulatives
                                                                                                                                                 appropriately to develop understanding of
                                                                                                                                                 mathematical algorithms, to facilitate problem solving,
                                                                                                                                                 and to create accurate and reliable models of
                                                                                                                                                 mathematical concepts.
                                                                                                                              Geometry &         CU0406.4.4 Measure and draw angles.
                                                                                                                             Measurement



                                                                                                                 Page 108 of 180
                                                                                                                 Geometry &    SPI0406.4.4 Identify acute, obtuse, and right angles in
                                                                                                                Measurement    2-dimensional shapes.
                                                                                                                 Geometry &    SPI0406.4.5 Identify attributes of simple and
                                                                                                                Measurement    compound figures composed of 2- and 3- dimensional
                                                                                                                               shapes.
Geometry    Draw and identify lines and     G.4.2 Draw and identify lines and angles, and classify shapes       Mathematical   GLE0406.1.1 Use mathematical language, symbols,
           angles, and classify shapes by   by properties of their lines and angles. Classify two-               Processes     and definitions while developing mathematical
            properties of their lines and   dimensional figures based on the presence or absence of                            reasoning.
                       angles               parallel or perpendicular lines, or the presence or absence of
                                            angles of a specified size. Recognize right triangles as a
                                            category, and identify right triangles.
                                                                                                                Mathematical   GLE0406.1.6 Read and interpret the language of
                                                                                                                 Processes     mathematics and use written/oral communication to
                                                                                                                               express mathematical ideas precisely.
                                                                                                                Mathematical   GLE0406.1.8 Use technologies/manipulatives
                                                                                                                 Processes     appropriately to develop understanding of
                                                                                                                               mathematical algorithms, to facilitate problem solving,
                                                                                                                               and to create accurate and reliable models of
                                                                                                                               mathematical concepts.
                                                                                                                 Geometry &    GLE0406.4.1 Understand and use the properties of
                                                                                                                Measurement    lines, segments, angles, polygons, and circles.
                                                                                                                 Geometry &    CU0406.4.3 Classify angles and triangles as obtuse,
                                                                                                                Measurement    acute, or right.
                                                                                                                 Geometry &    CU0406.4.5 Determine if a figure is a polygon.
                                                                                                                Measurement
                                                                                                                 Geometry &    SPI0406.4.4 Identify acute, obtuse, and right angles in
                                                                                                                Measurement    2-dimensional shapes.
                                                                                                                 Geometry &    SPI0406.4.5 Identify attributes of simple and
                                                                                                                Measurement    compound figures composed of 2- and 3- dimensional
                                                                                                                               shapes.
Geometry    Draw and identify lines and     G.4.3 Draw and identify lines and angles, and classify shapes       Mathematical   GLE0406.1.7 Recognize the historical development of
           angles, and classify shapes by   by properties of their lines and angles. Recognize a line of         Processes     mathematics, mathematics in context, and the
            properties of their lines and   symmetry for a two-dimensional figure as a line across the                         connections between mathematics and the real world.
                       angles               figure such that the figure can be folded along the line into
                                            matching parts. Identify line-symmetric figures and draw lines
                                            of symmetry.
                                                                                                                 Geometry &    CU0406.4.18 Determine whether a geometric shape
                                                                                                                Measurement    has line and/or rotational symmetry.
                                                                                                                 Geometry &    CU0406.4.20 Draw lines of symmetry in 2-dimensional
                                                                                                                Measurement    figures.




                                                                                                    Page 109 of 180
   Mathematics                                                                                                                                                                                            Crosswalk Correlation Notes
                        Mathematics Common Core                                                                                    Correlation by Learning Expections with Aligned Cchecks for
  Common Core                                                 Mathematics Common Core Standard                   TN Standard                                                                             (Shaded rows indicated grade
                                 Cluster                                                                                                 Understanding and State Performance Indicators
     Domain                                                                                                                                                                                                        change)

   Operations &         Write and interpret numerical   OA.5.1 Write and interpret numerical expressions.       Mathematical      GLE0506.1.1 Use mathematical language, symbols, and definitions
Algebraic Thinking              expressions             Use parentheses, brackets, or braces in numerical        Processes        while developing mathematical reasoning.
                                                        expressions, and evaluate expressions with these
                                                        symbols.

                                                                                                                   Algebra        GLE0506.3.1 Understand and use order of operations.
                                                                                                                   Algebra        SPI0506.3.2 Evaluate multi-step numerical expressions involving
                                                                                                                                  fractions using order of operations.
   Operations &         Write and interpret numerical   OA.5.2 Write and interpret numerical expressions.          Algebra        GRADE 3: GLE0306.3.1 Develop meaning for and apply the
Algebraic Thinking              expressions             Write simple expressions that record calculations                         commutative, associative, and distributive properties using various
                                                        with numbers, and interpret numerical expressions                         representations.
                                                        without evaluating them. For example, express the
                                                        calculation “add 8 and 7, then multiply by 2” as 2 ×
                                                        (8 + 7). Recognize that 3 × (18932 + 921) is three
                                                        times as large as 18932 + 921, without having to
                                                        calculate the indicated sum or product.

                                                                                                                Mathematical      CU0506.1.5 Solve problems in more than one way and explain why
                                                                                                                 Processes        one process may be more effective than another.
   Operations &    Analyze patterns and relationships OA.5.3 Analyze patterns and relationships. Generate        Geometry &       CU0506.4.8 Identify characteristics of the set of points that define
Algebraic Thinking                                    two numerical patterns using two given rules. Identify    Measurement       vertical and horizontal line segments.
                                                      apparent relationships between corresponding
                                                      terms. Form ordered pairs consisting of
                                                      corresponding terms from the two patterns, and
                                                      graph the ordered pairs on a coordinate plane. For
                                                      example, given the rule “Add 3” and the starting
                                                      number 0, and given the rule “Add 6” and the
                                                      starting number 0, generate terms in the resulting
                                                      sequences, and observe that the terms in one
                                                      sequence are twice the corresponding terms in the
                                                      other sequence. Explain informally why this is so.


                                                                                                               Data, Probability, CU0506.5.2 Represent data using ordered pairs in the first
                                                                                                                 & Statistics     quadrant of the coordinate system.




                                                                                                                Page 110 of 180
   Numbers &         Understand the place value   NBT.5.1 Understand the place value system.                  Number and       CU0506.2.7 Understand the placement of the decimal point in
Operations in Base            system              Recognize that in a multi-digit number, a digit in one      Operations       calculations of multiplication and long division, including the
       Ten                                        place represents 10 times as much as it represents                           placement in the estimation of the answer.
                                                  in the place to its right and 1/10 of what it represents
                                                  in the place to its left.
                                                                                                              Number and       SPI0506.2.1 Read and write numbers from millions to millionths in
                                                                                                              Operations       various contexts.
                                                                                                              Number and       SPI0506.2.9 Compare whole numbers, decimals and fractions
                                                                                                              Operations       using the symbols <, >, and =.
   Numbers &         Understand the place value   NBT.5.2 Understand the place value system. Explain          Number and       CU0506.2.10 Use exponential notation to represent repeated
Operations in Base            system              patterns in the number of zeros of the product when         Operations       multiplication of whole numbers.
       Ten                                        multiplying a number by powers of 10, and explain
                                                  patterns in the placement of the decimal point when
                                                  a decimal is multiplied or divided by a power of 10.
                                                  Use whole number exponents to denote powers of
                                                  10.
                                                                                                             Mathematical      GLE0506.1.1 Use mathematical language, symbols, and definitions
                                                                                                              Processes        while developing mathematical reasoning.
                                                                                                             Mathematical      GLE0506.1.6 Read and interpret the language of mathematics and
                                                                                                              Processes        use written/oral communication to express mathematical ideas
                                                                                                                               precisely.
   Numbers &         Understand the place value   NBT.5.3 Understand the place value system. Read,            Number and       GLE0506.2.1 Extend the understanding of place value through
Operations in Base            system              write, and compare decimals to thousandths.                 Operations       millions and millionths in various contexts and representations.
       Ten
                                                                                                              Number and       SPI0506.2.1 Read and write numbers from millions to millionths in
                                                                                                              Operations       various contexts.
   Numbers &         Understand the place value   NBT.5.3.a Read and write decimals to thousandths            Number and       SPI0506.2.1 Read and write numbers from millions to millionths in
Operations in Base            system              using base-ten numerals, number names, and                  Operations       various contexts.
       Ten                                        expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7
                                                  × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

                                                                                                              Number and       GLE0506.2.1 Extend the understanding of place value through
                                                                                                              Operations       millions and millionths in various contexts and representations.
   Numbers &         Understand the place value   NBT.5.3.b Compare two decimals to thousandths               Number and       SPI0506.2.1 Read and write numbers from millions to millionths in
Operations in Base            system              based on meanings of the digits in each place, using        Operations       various contexts.
       Ten                                        >, =, and < symbols to record the results of
                                                  comparisons.
                                                                                                              Number and       GLE0506.2.1 Extend the understanding of place value through
                                                                                                              Operations       millions and millionths in various contexts and representations.
                                                                                                              Number and       SPI0506.2.9 Compare whole numbers, decimals and fractions
                                                                                                              Operations       using the symbols <, >, and =.
   Numbers &         Understand the place value   NBT.5.4 Understand the place value system. Use                               CU0506.1.3 Explore different methods of estimation including
Operations in Base            system              place value understanding to round decimals to any                           rounding and truncating.
       Ten                                        place.



                                                                                                             Page 111 of 180
                                                                                                                                   SPI0506.2.3 Select a reasonable solution to a real-world division
                                                                                                                                   problem in which the remainder must be considered.
   Numbers &       Perform operations with multi-digit NBT.5.5 Perform operations with multi-digit whole          Number and       GRADE 4: GLE0406.2.2 Develop fluency with multiplication and
Operations in Base whole numbers and with decimals numbers and with decimals to hundredths. Fluently              Operations       single-digit division.
       Ten                  to hundredths              multiply multi-digit whole numbers using the
                                                       standard algorithm.
                                                                                                                  Number and       GRADE 4: CU0406.2.3 Multiply two- and three-digit whole numbers.
                                                                                                                  Operations
                                                                                                                  Number and       GRADE 4: SPI0406.2.11 Solve problems using whole number multi-
                                                                                                                  Operations       digit multiplication.
   Numbers &       Perform operations with multi-digit NBT.5.6 Perform operations with multi-digit whole          Number and       GLE0506.2.3 Develop fluency with division of whole numbers.
Operations in Base whole numbers and with decimals numbers and with decimals to hundredths. Find                  Operations       Understand the relationship of divisor, dividend, and quotient in
       Ten                  to hundredths              whole-number quotients of whole numbers with up to                          terms of multiplication and division.
                                                       four-digit dividends and two-digit divisors, using
                                                       strategies based on place value, the properties of
                                                       operations, and/or the relationship between
                                                       multiplication and division. Illustrate and explain the
                                                       calculation by using equations, rectangular arrays,
                                                       and/or area models.


                                                                                                                 Number and        CU0506.2.4 Use divisibility rules to factor numbers.
                                                                                                                  Operations
                                                                                                                 Number and        SPI0506.2.4 Solve problems involving the division of two- and three-
                                                                                                                  Operations       digit whole numbers by one- and two-digit whole numbers.
   Numbers &       Perform operations with multi-digit NBT.5.7 Perform operations with multi-digit whole         Mathematical      GLE0506.1.4 Move flexibly between concrete and abstract
Operations in Base whole numbers and with decimals numbers and with decimals to hundredths. Add,                  Processes        representations of mathematical ideas in order to solve problems,
       Ten                  to hundredths              subtract, multiply, and divide decimals to                                  model mathematical ideas, and communicate solution strategies.
                                                       hundredths, using concrete models or drawings and
                                                       strategies based on place value, properties of
                                                       operations, and/or the relationship between addition
                                                       and subtraction; relate the strategy to a written
                                                       method and explain the reasoning used.

                                                                                                                 Mathematical      GLE0506.1.8 Use technologies/manipulatives appropriately to
                                                                                                                  Processes        develop understanding of mathematical algorithms, to facilitate
                                                                                                                                   problem solving, and to create accurate and reliable models of
                                                                                                                                   mathematical concepts.
                                                                                                                 Number and        GLE0506.2.5 Develop fluency in solving multi-step problems using
                                                                                                                  Operations       whole numbers, fractions, mixed numbers, and decimals.
                                                                                                                 Mathematical      CU0506.1.2 Make reasonable estimates of fraction and decimal
                                                                                                                  Processes        sums or differences using models.
                                                                                                                 Number and        CU0506.2.5 Make reasonable estimates of fraction and decimal
                                                                                                                  Operations       sums and differences.




                                                                                                                 Page 112 of 180
                                                                                                        Number and       CU0506.2.7 Understand the placement of the decimal point in
                                                                                                        Operations       calculations of multiplication and long division, including the
                                                                                                                         placement in the estimation of the answer.
                                                                                                       Mathematical      SPI0506.1.2 Estimate fraction and decimal sums or differences.
                                                                                                        Processes
                                                                                                       Number and        SPI0506.2.5 Solve addition and subtraction problems involving both
                                                                                                        Operations       fractions and decimals.
Numbers &     Use equivalent fractions as a   NF.5.1 Use equivalent fractions as a strategy to add     Number and        GRADE 4: GLE0406.2.5 Add and subtract fractions with like and
Operations:   strategy to add and subtract    and subtract fractions. Add and subtract fractions        Operations       unlike denominators.
 Fractions              fractions             with unlike denominators (including mixed numbers)
                                              by replacing given fractions with equivalent fractions
                                              in such a way as to produce an equivalent sum or
                                              difference of fractions with like denominators. For
                                              example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In
                                              general, a/b + c/d = (ad + bc)/bd.)

                                                                                                       Number and        GRADE 4: SPI0406.2.8 Add and subtract proper fractions with like
                                                                                                        Operations       and unlike denominators and simplify the answer.
                                                                                                       Mathematical      CU0506.1.2 Make reasonable estimates of fraction and decimal
                                                                                                        Processes        sums or differences using models.
                                                                                                       Number and        CU0506.2.3 Use visual models, benchmarks, and equivalent forms
                                                                                                        Operations       to add and subtract commonly used fractions and decimals.

                                                                                                       Mathematical      SPI0506.1.2 Estimate fraction and decimal sums or differences.
                                                                                                        Processes
                                                                                                       Number and        SPI0506.2.7 Recognize equivalent representations for the same
                                                                                                        Operations       number.
Numbers &     Use equivalent fractions as a   NF.5.2 Use equivalent fractions as a strategy to add     Mathematical      CU0506.1.2 Make reasonable estimates of fraction and decimal
Operations:   strategy to add and subtract    and subtract fractions. Solve word problems               Processes        sums or differences using models.
 Fractions              fractions             involving addition and subtraction of fractions
                                              referring to the same whole, including cases of
                                              unlike denominators, e.g., by using visual fraction
                                              models or equations to represent the problem. Use
                                              benchmark fractions and number sense of fractions
                                              to estimate mentally and assess the reasonableness
                                              of answers. For example, recognize an incorrect
                                              result 2/5 + 1/2 = 3/7 by observing that 3/7 < 1/2.

                                                                                                       Mathematical      CU0506.1.6 Communicate answers in correct verbal and numerical
                                                                                                        Processes        form; including use of mixed numbers or fractions and use of units.

                                                                                                       Mathematical      CU0506.1.7 Organize and consolidate verbal statements involving
                                                                                                        Processes        fractions and mixed numbers into diagrams, symbols, and
                                                                                                                         numerical expressions.



                                                                                                       Page 113 of 180
                                                                                                             Mathematical      SPI0506.1.2 Estimate fraction and decimal sums or differences.
                                                                                                              Processes
                                                                                                             Number and        SPI0506.2.9 Compare whole numbers, decimals and fractions
                                                                                                              Operations       using the symbols <, >, and =.
                                                                                                             Mathematical      GLE0506.1.2 Apply and adapt a variety of appropriate strategies to
                                                                                                              Processes        problem solving, including estimation, and reasonableness of the
                                                                                                                               solution.
                                                                                                             Number and        GRADE 4: GLE0406.2.5 Add and subtract fractions with like and        *** Common Core Standard is one
                                                                                                              Operations       unlike denominators.                                                 grade above TN GLE.
                                                                                                             Number and        GRADE 4: SPI0406.2.8 Add and subtract proper fractions with like     Common Core Standard is one grade
                                                                                                              Operations       and unlike denominators and simplify the answer.                     above TN SPI.
Numbers &        Apply and extend previous          NF.5.3 Apply and extend previous understandings of       Mathematical      GLE0506.1.2 Apply and adapt a variety of appropriate strategies to
Operations:    understandings of multiplication     multiplication and division to multiply and divide        Processes        problem solving, including estimation, and reasonableness of the
 Fractions    and division to multiply and divide   fractions. Interpret a fraction as division of the                         solution.
                           fractions                numerator by the denominator (a/b = a ÷ b). Solve
                                                    word problems involving division of whole numbers
                                                    leading to answers in the form of fractions or mixed
                                                    numbers, e.g., by using visual fraction models or
                                                    equations to represent the problem. For example,
                                                    interpret 3/4 as the result of dividing 3 by 4, noting
                                                    that 3/4 multiplied by 4 equals 3 and that when 3
                                                    wholes are shared equally among 4 people each
                                                    person has a share of size 3/4. If 9 people want to
                                                    share a 50-pound sack of rice equally by weight,
                                                    how many pounds of rice should each person get?
                                                    Between what two whole numbers does your answer
                                                    lie?


                                                                                                             Mathematical      GLE0506.1.7 Recognize the historical development of
                                                                                                              Processes        mathematics, mathematics in context, and the connections between
                                                                                                                               mathematics and the real world.
                                                                                                              Number and       GRADE 6: CU0606.2.4 Understand ratio as a fraction used to       Common Core Standard is one grade
                                                                                                              Operations       compare two quantities by division.                              below TN Check for Understanding.

                                                                                                             Number and        GRADE6: SPI0606.2.1 Solve problems involving the multiplication Common Core Standard is one grade
                                                                                                              Operations       and division of fractions.                                        below TN SPI.
                                                                                                             Mathematical      SPI0506.1.3 Recognize the unit associated with the remainder in a
                                                                                                              Processes        division problem or the meaning of the fractional part of a whole
                                                                                                                               given in either decimal or fraction form.
                                                                                                              Number and       SPI0506.2.3 Select a reasonable solution to a real-world division
                                                                                                              Operations       problem in which the remainder must be considered.




                                                                                                             Page 114 of 180
Numbers &        Apply and extend previous          NF.5.4 Apply and extend previous understandings of           Number and       GRADE 4: GLE0406.2.6 Solve problems involving whole numbers, *** Common Core Standard is one
Operations:    understandings of multiplication     multiplication and division to multiply and divide           Operations       fractions, and/or decimals using all four arithmetic operations. grade above TN GLE.
 Fractions    and division to multiply and divide   fractions. Apply and extend previous
                           fractions                understandings of multiplication to multiply a fraction
                                                    or whole number by a fraction.

Numbers &        Apply and extend previous          NF.5.4.a Interpret the product (a/b) × q as a parts of       Number and       GRADE 6: CU0606.2.2 Use area models to represent multiplication Common Core Standard is one grade
Operations:    understandings of multiplication     a partition of q into b equal parts; equivalently, as the    Operations       of fractions.                                                   below TN Check for Understanding.
 Fractions    and division to multiply and divide   result of a sequence of operations a × q ÷ b. For
                           fractions                example, use a visual fraction model to show (2/3) ×
                                                    4 = 8/3, and create a story context for this equation.
                                                    Do the same with (2/3) × (4/5) = 8/1 (In general, (a/b)
                                                    × (c/d) = ac/bd.)

                                                                                                                 Number and       GRADE 6: CU0606.2.3 Create and solve contextual problems that       Common Core Standard is one grade
                                                                                                                 Operations       lead naturally to division of fractions.                            below TN Check for Understanding.

                                                                                                                 Number and       GRADE 6: CU0606.2.4 Understand ratio as a fraction used to          Common Core Standard is one grade
                                                                                                                 Operations       compare two quantities by division.                                 below TN Check for Understanding.

Numbers &        Apply and extend previous          NF.5.4.b Find the area of a rectangle with fractional        Geometry &       GLE0506.4.1 Use basic formulas and visualization to find the area
Operations:    understandings of multiplication     side lengths by tiling it with unit squares of the          Measurement       of geometric figures.
 Fractions    and division to multiply and divide   appropriate unit fraction side lengths, and show that
                           fractions                the area is the same as would be found by
                                                    multiplying the side lengths. Multiply fractional side
                                                    lengths to find areas of rectangles, and represent
                                                    fraction products as rectangular areas.


                                                                                                                 Geometry &       SPI0506.4.1 Solve contextual problems that require calculating the
                                                                                                                Measurement       area of triangles and parallelograms.
                                                                                                                Number and        GRADE 6: CU0606.2.2 Use area models to represent multiplication Common Core Standard is one grade
                                                                                                                 Operations       of fractions.                                                      below TN Check for Understanding.

                                                                                                                 Number and       GRADE 6: SPI0606.2.1 Solve problems involving the multiplication Common Core Standard is one grade
                                                                                                                 Operations       and division of fractions.                                       below TN SPI.




                                                                                                                Page 115 of 180
Numbers &        Apply and extend previous          NF.5.5 Apply and extend previous understandings of          Number and       CU0506.2.3 Use visual models, benchmarks, and equivalent forms
Operations:    understandings of multiplication     multiplication and division to multiply and divide          Operations       to add and subtract commonly used fractions and decimals.
 Fractions    and division to multiply and divide   fractions. Interpret multiplication as scaling
                           fractions                (resizing) by:
                                                      -- a. Comparing the size of a product to the size of
                                                    one factor on the basis of the size of the other factor,
                                                    without performing the indicated multiplication.
                                                      -- b. Explaining why multiplying a given number by
                                                    a fraction greater than 1 results in a product greater
                                                    than the given number (recognizing multiplication by
                                                    whole numbers greater than 1 as a familiar case);
                                                    explaining why multiplying a given number by a
                                                    fraction less than 1 results in a product smaller than
                                                    the given number; and relating the principle of
                                                    fraction equivalence a/b = (n×a) / (n×b) to the effect
                                                    of multiplying a/b by 1.

                                                                                                                Number and       GLE0506.2.5 Develop fluency in solving multi-step problems using
                                                                                                                Operations       whole numbers, fractions, mixed numbers, and decimals.
                                                                                                                Number and       GRADE 6: GLE0606.2.1 Understand and explain the procedures for        *** Common Core Standard is one
                                                                                                                Operations       multiplication and division of fractions, mixed numbers, and          grade below TN GLE.
                                                                                                                                 decimals.
                                                                                                                Number and       GRADE 6 CU0606.2.2 Use area models to represent multiplication        Common Core Standard is one grade
                                                                                                                Operations       of fractions.                                                         below TN Check for Understanding.

Numbers &        Apply and extend previous          NF.5.6 Apply and extend previous understandings of            Algebra        SPI0506.3.2 Evaluate multi-step numerical expressions involving
Operations:    understandings of multiplication     multiplication and division to multiply and divide                           fractions using order of operations.
 Fractions    and division to multiply and divide   fractions. Solve real world problems involving
                           fractions                multiplication of fractions and mixed numbers, e.g.,
                                                    by using visual fraction models or equations to
                                                    represent the problem.
                                                                                                               Mathematical      CU0506.1.6 Communicate answers in correct verbal and numerical
                                                                                                                Processes        form; including use of mixed numbers or fractions and use of units.

                                                                                                               Mathematical      CU0506.1.7 Organize and consolidate verbal statements involving
                                                                                                                Processes        fractions and mixed numbers into diagrams, symbols, and
                                                                                                                                 numerical expressions.




                                                                                                               Page 116 of 180
Numbers &        Apply and extend previous          NF.5.7 Apply and extend previous understandings of         Mathematical      GLE0506.1.7 Recognize the historical development of
Operations:    understandings of multiplication     multiplication and division to multiply and divide          Processes        mathematics, mathematics in context, and the connections between
 Fractions    and division to multiply and divide   fractions. Apply and extend previous                                         mathematics and the real world.
                           fractions                understandings of division to divide unit fractions by
                                                    whole numbers and whole numbers by unit fractions.
                                                    (Students able to multiply fractions in general can
                                                    develop strategies to divide fractions in general, by
                                                    reasoning about the relationship between
                                                    multiplication and division. But division of a fraction
                                                    by a fraction is not a requirement at this grade.)



                                                                                                                Number and       GRADE 6: SPI0606.2.1 Solve problems involving the multiplication   Common Core Standard is one grade
                                                                                                                Operations       and division of fractions.                                         below TN SPI.
Numbers &        Apply and extend previous          NF.5.7.a Interpret division of a unit fraction by a non-    Number and       GRADE 6: CU0606.2.2 Use area models to represent multiplication    Common Core Standard is one grade
Operations:    understandings of multiplication     zero whole number, and compute such quotients.              Operations       of fractions.                                                      below TN Check for Understanding.
 Fractions    and division to multiply and divide   For example, create a story context for (1/3) ÷ 4 and
                           fractions                use a visual fraction model to show the quotient. Use
                                                    the relationship between multiplication and division
                                                    to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 =
                                                    1/3.
                                                                                                                Number and       GRADE 6: CU0606.2.3 Create and solve contextual problems that      Common Core Standard is one grade
                                                                                                                Operations       lead naturally to division of fractions.                           below TN Check for Understanding.

Numbers &        Apply and extend previous          NF.5.7.b Interpret division of a whole number by a          Number and       GRADE 6: CU0606.2.2 Use area models to represent multiplication Common Core Standard is one grade
Operations:    understandings of multiplication     unit fraction, and compute such quotients. For              Operations       of fractions.                                                   below TN Check for Understanding.
 Fractions    and division to multiply and divide   example, create a story context for 4 ÷ (1/5) and use
                           fractions                a visual fraction model to show the quotient. Use the
                                                    relationship between multiplication and division to
                                                    explain that 4 ÷ (1/5) = 20 because 20 × (1/5) = 4.

                                                                                                                Number and       CU0606.2.3 Create and solve contextual problems that lead          Common Core Standard is one grade
                                                                                                                Operations       naturally to division of fractions.                                below TN Check for Understanding.

Numbers &        Apply and extend previous          NF.5.7.c Solve real-world problems involving division       Number and       GRADE 6: CU0606.2.3 Create and solve contextual problems that      Common Core Standard is one grade
Operations:    understandings of multiplication     of unit fractions by non-zero whole numbers and             Operations       lead naturally to division of fractions.                           below TN Check for Understanding.
 Fractions    and division to multiply and divide   division of whole numbers by unit fractions, e.g., by
                           fractions                using visual fraction models and equations to
                                                    represent the problem. For example, how much
                                                    chocolate will each person get if 3 people share 1/2
                                                    lb of chocolate equally? How many 1/3-cup servings
                                                    are in 2 cups of raisins?




                                                                                                               Page 117 of 180
Measurement &    Convert like measurement units       MD.5.1 Convert like measurement units within a             Geometry &       SPI0406.4.8 Convert measurements within a sinGLEsystem that           Common Core Standard is one grade
    Data          within a given measurement          given measurement system. Convert among                   Measurement       are common in daily life e.g., hours and minutes, inches and feet,    above TN SPI.
                              system                  different-sized standard measurement units within a                         centimeters and meters, quarts and gallons, liters and milliliters.
                                                      given measurement system (e.g., convert 5 cm to
                                                      0.05 m), and use these conversions in solving multi-
                                                      step real world problems.
                                                                                                                 Geometry &       GRADE 6: GLE0406.4.2 Understand and use measures of length,           *** Common Core Standard is one
                                                                                                                Measurement       area, capacity, and weight.                                           grade above TN GLE.
                                                                                                                 Geometry &       GRADE 6: GLE0406.4.3 Solve problems that involve estimating           *** Common Core Standard is one
                                                                                                                Measurement       and measuring length, area, capacity and weight.                      grade above TN GLE.
Measurement &     Represent and interpret data        MD.5.2 Represent and interpret data. Make a line           Geometry &       SPI0506.4.5 Find the length of vertical or horizontal line segments
    Data                                              plot to display a data set of measurements in             Measurement       in the first quadrant of the coordinate system, including problems
                                                      fractions of a unit (1/2, 1/4, 1/8). Use operations on                      that require the use of fractions and decimals.
                                                      fractions for this grade to solve problems involving
                                                      information presented in line plots. For example,
                                                      given different measurements of liquid in identical
                                                      beakers, find the amount of liquid each beaker would
                                                      contain if the total amount in all the beakers were
                                                      redistributed equally.
                                                                                                               Data, Probability, GLE0506.5.1 Make, record, display and interpret data and graphs
                                                                                                                 & Statistics     that include whole numbers, decimals, and fractions.

                                                                                                                Mathematical      GLE0506.1.5 Use mathematical ideas and processes in different
                                                                                                                 Processes        settings to formulate patterns, analyze graphs, set up and solve
                                                                                                                                  problems and interpret solutions.
Measurement &       Geometric measurement:            MD.5.3 Geometric measurement: understand                   Geometry &       GLE0506.4.2 Describe polyhedral solids and analyze their
    Data         understand concepts of volume        concepts of volume and relate volume to                   Measurement       properties, including volume and surface area.
                and relate volume to multiplication   multiplication and to addition. Recognize volume as
                          and to addition             an attribute of solid figures and understand concepts
                                                      of volume measurement.
                                                       -- a. A cube with side length 1 unit, called a “unit
                                                      cube,” is said to have “one cubic unit” of volume, and
                                                      can be used to measure volume.
                                                       -- b. A solid figure which can be packed without
                                                      gaps or overlaps using n unit cubes is said to have a
                                                      volume of n cubic units.

                                                                                                                 Geometry &       CU0506.4.5 Quantify total volume as filling space with same-sized
                                                                                                                Measurement       units of volume without gaps or overlap.
                                                                                                                 Geometry &       CU0506.4.6 Decompose prisms to calculate surface area and
                                                                                                                Measurement       volume.




                                                                                                                Page 118 of 180
Measurement &       Geometric measurement:            MD.5.4 Geometric measurement: understand                  Geometry &       CU0506.4.5 Quantify total volume as filling space with same-sized
    Data         understand concepts of volume        concepts of volume and relate volume to                  Measurement       units of volume without gaps or overlap.
                and relate volume to multiplication   multiplication and to addition. Measure volumes by
                          and to addition             counting unit cubes, using cubic cm, cubic in, cubic
                                                      ft, and improvised units.
                                                                                                                Geometry &       GLE0506.4.2 Describe polyhedral solids and analyze their
                                                                                                               Measurement       properties, including volume and surface area.
Measurement &       Geometric measurement:            MD.5.5 Geometric measurement: understand                  Geometry &       GLE0506.4.2 Describe polyhedral solids and analyze their
    Data         understand concepts of volume        concepts of volume and relate volume to                  Measurement       properties, including volume and surface area.
                and relate volume to multiplication   multiplication and to addition. Relate volume to the
                          and to addition             operations of multiplication and addition and solve
                                                      real world and mathematical problems involving
                                                      volume.
                                                                                                                Geometry &       CU0506.4.3 Build, draw, and work with prisms by means of
                                                                                                               Measurement       orthogonal views, projective views, and nets.
                                                                                                                Geometry &       CU0506.4.5 Quantify total volume as filling space with same-sized
                                                                                                               Measurement       units of volume without gaps or overlap.
                                                                                                                Geometry &       CU0506.4.6 Decompose prisms to calculate surface area and
                                                                                                               Measurement       volume.
                                                                                                                Geometry &       SPI0506.4.4 Solve problems involving surface area and volume of
                                                                                                               Measurement       rectangular prisms and polyhedral solids.
Measurement &       Geometric measurement:            MD.5.5.a Find the volume of a right rectangular           Geometry &       GLE0506.4.2 Describe polyhedral solids and analyze their
    Data         understand concepts of volume        prism with whole-number side lengths by packing it       Measurement       properties, including volume and surface area.
                and relate volume to multiplication   with unit cubes, and show that the volume is the
                          and to addition             same as would be found by multiplying the edge
                                                      lengths, equivalently by multiplying the height by the
                                                      area of the base. Represent three-fold whole-
                                                      number products as volumes, e.g., to represent the
                                                      associative property of multiplication.
                                                                                                                Geometry &       CU0506.4.3 Build, draw, and work with prisms by means of
                                                                                                               Measurement       orthogonal views, projective views, and nets.
                                                                                                                Geometry &       CU0506.4.5 Quantify total volume as filling space with same-sized
                                                                                                               Measurement       units of volume without gaps or overlap.
                                                                                                                Geometry &       CU0506.4.6 Decompose prisms to calculate surface area and
                                                                                                               Measurement       volume.
                                                                                                                Geometry &       SPI0506.4.4 Solve problems involving surface area and volume of
                                                                                                               Measurement       rectangular prisms and polyhedral solids.
Measurement &       Geometric measurement:            MD.5.5.b Apply the formulas V =(l)(w)(h) and V =         Mathematical      GLE0506.1.7 Recognize the historical development of
    Data         understand concepts of volume        (b)(h) for rectangular prisms to find volumes of right    Processes        mathematics, mathematics in context, and the connections between
                and relate volume to multiplication   rectangular prisms with whole-number edge lengths                          mathematics and the real world.
                          and to addition             in the context of solving real world and mathematical
                                                      problems.
                                                                                                                Geometry &       SPI0506.4.4 Solve problems involving surface area and volume of
                                                                                                               Measurement       rectangular prisms and polyhedral solids.




                                                                                                               Page 119 of 180
Measurement &       Geometric measurement:            MD.5.5.c Recognize volume as additive. Find                 Geometry &       CU0506.4.5 Quantify total volume as filling space with same-sized
    Data         understand concepts of volume        volumes of solid figures composed of two non-              Measurement       units of volume without gaps or overlap.
                and relate volume to multiplication   overlapping right rectangular prisms by adding the
                          and to addition             volumes of the non-overlapping parts, applying this
                                                      technique to solve real world problems.
                                                                                                                  Geometry &       CU0506.4.6 Decompose prisms to calculate surface area and
                                                                                                                 Measurement       volume.
  Geometry       Graph points on the coordinate       G.5.1 Graph points on the coordinate plane to solve         Geometry &       GLE0506.4.3 Describe length/distance relationships using the first
                  plane to solve real-world and       real-world and mathematical problems. Use a pair of        Measurement       quadrant of the coordinate system.
                     mathematical problems            perpendicular number lines, called axes, to define a
                                                      coordinate system, with the intersection of the lines
                                                      (the origin) arranged to coincide with the 0 on each
                                                      line and a given point in the plane located by using
                                                      an ordered pair of numbers, called its coordinates.
                                                      Understand that the first number indicates how far to
                                                      travel from the origin in the direction of one axis, and
                                                      the second number indicates how far to travel in the
                                                      direction of the second axis, with the convention that
                                                      the names of the two axes and the coordinates
                                                      correspond (e.g., x-axis and x-coordinate, y-axis and
                                                      y-coordinate).

                                                                                                                  Geometry &       GRADE 4: CU0406.4.14 Explain how the components of a                    Common Core Standard is one grade
                                                                                                                 Measurement       coordinate system are used to determine location.                       above TN Check for Understanding.

                                                                                                                  Geometry &       GRADE 4: CU0406.4.15 Explore properties of paths between                Common Core Standard is one grade
                                                                                                                 Measurement       points.                                                                 above TN Check for Understanding.

                                                                                                                  Geometry &       SPI0506.4.5 Find the length of vertical or horizontal line segments
                                                                                                                 Measurement       in the first quadrant of the coordinate system, including problems
                                                                                                                                   that require the use of fractions and decimals.

  Geometry       Graph points on the coordinate       G.5.2 Graph points on the coordinate plane to solve         Geometry &       GRADE 4: SPI0406.4.2 Graph and interpret points with whole              Common Core Standard is one grade
                  plane to solve real-world and       real-world and mathematical problems. Represent            Measurement       number or letter coordinates on grids or in the first quadrant of the   above TN SPI.
                     mathematical problems            real world and mathematical problems by graphing                             coordinate plane.
                                                      points in the first quadrant of the coordinate plane,
                                                      and interpret coordinate values of points in the
                                                      context of the situation.




                                                                                                                 Page 120 of 180
Geometry   Classify two-dimensional figures G.5.3 Classify two-dimensional figures into             Geometry &       GRADE 3: GLE0306.4.1 Describe, compare, and analyze                   *** Common Core Standard is two
            into categories based on their  categories based on their properties. Understand       Measurement       properties of polygons.                                               grades above TN GLE.
                      properties            that attributes belonging to a category of two-
                                            dimensional figures also belong to all subcategories
                                            of that category. For example, all rectangles have
                                            four right angles and squares are rectangles, so all
                                            squares have four right angles.


                                                                                                    Geometry &       GRADE 3: GLE0306.4.3 Understand and use attributes of 2- and 3- *** Common Core Standard is two
                                                                                                   Measurement       dimensional figures to solve problems.                          grades above TN GLE.
                                                                                                    Geometry &       GRADE 3: CU03064.1 Describe properties of plane figures such as Common Core Standard is two
                                                                                                   Measurement                                                                       grades above TN Check for
                                                                                                                     circles, triangles, squares and rectangles and solid shapes such as
                                                                                                                     spheres, cubes and cylinders.                                   Understanding.
                                                                                                    Geometry &       GRADE 3: CU03064.2 Classify polygons according to the number    Common Core Standard is two
                                                                                                   Measurement       of their sides and angles.                                      grades above TN Check for
                                                                                                                                                                                     Understanding.
                                                                                                    Geometry &       GRADE 3: SPI0306.4.1 Recognize polygons and be able to identify Common Core Standard is two
                                                                                                   Measurement       examples based on geometric definitions.                        grades above TN SPI.
Geometry   Classify two-dimensional figures G.5.4 Classify two-dimensional figures into             Geometry &       GRADE 3: GLE0306.4.3 Understand and use attributes of 2- and 3- *** Common Core Standard is two
            into categories based on their  categories based on their properties. Classify two-    Measurement       dimensional figures to solve problems.                          grades above TN GLE.
                      properties            dimensional figures in a hierarchy based on
                                            properties.
                                                                                                    Geometry &       GRADE 3; CU03064.2 Classify polygons according to the number          Common Core Standard is two
                                                                                                   Measurement       of their sides and angles.                                            grades above TN Check for
                                                                                                                                                                                           Understanding.




                                                                                                   Page 121 of 180
 Mathematics                                                                                                                                                                                               Crosswalk Correlation Notes
                 Mathematics Common                                                                                                       Correlation by Learning Expections with Aligned Checks
Common Core                                                 Mathematics Common Core Standard                               TN Standard                                                                       (Shaded rows indicated
                     Core Cluster                                                                                                          for Understanding and State Performance Indicators
   Domain                                                                                                                                                                                                        grade change)


  Ratios &    Understand ratio concepts   RP.6.1 Understand the concept of a ratio and use ratio language to               Number &      GLE0606.2.3 Understand and use ratios, rates and percents.
Proportional and use ratio reasoning to   describe a ratio relationship between two quantities. For example, “The          Operations
Relationships solve problems              ratio of wings to beaks in the bird house at the zoo was 2:1, because for
                                          every 2 wings there was 1 beak.” “For every vote candidate A received,
                                          candidate C received nearly three votes.”

                                                                                                                           Number &      CU0606.2.4 Understand ratio as a fraction used to compare
                                                                                                                           Operations    two quantities by division.
                                                                                                                           Number &      CU0606.2.5 Recognize a:b, a/b, and "a to b" as notations for
                                                                                                                           Operations    ratios.
  Ratios &    Understand ratio concepts   RP.6.2 Understand ratio concepts and use ratio reasoning to solve                Number &      CU0606.2.7 Connect ratio and rate to multiplication and
Proportional and use ratio reasoning to   problems. Understand the concept of a unit rate a/b associated with a ratio      Operations    division.
Relationships solve problems              a:b with b ≠ 0 (b not equal to zero), and use rate language in the context of
                                          a ratio relationship. For example, "This recipe has a ratio of 3 cups of flour
                                          to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar." "We
                                          paid $75 for 15 hamburgers, which is a rate of $5 per hamburger."
                                          (Expectations for unit rates in this grade are limited to non-complex                          CU0606.3.4 Generate data and graph relationships concerning
                                                                                                                             Algebra
                                                                                                                                         measurement of length, area, volume, weight, time,
                                                                                                                                         temperature, money, and information.
                                                                                                                           Number &      SPI0606.2.6 Solve problems involving ratios, rates and
                                                                                                                           Operations    percents.
  Ratios &    Understand ratio concepts   RP.6.3 Use ratio and rate reasoning to solve real-world and mathematical         Number &      GLE0606.2.4 Understand and convert between fraction,
Proportional and use ratio reasoning to   problems, e.g., by reasoning about tables of equivalent ratios, tape             Operations    decimal, and percent forms of rational numbers.
Relationships solve problems              diagrams, double number line diagrams, or equations.
                                                                                                                           Number &      SPI0606.2.5 Transform numbers from one form to another
                                                                                                                           Operations    fractions, decimals, percents, and mixed numbers.
                                                                                                                           Number &      SPI0606.2.6 Solve problems involving ratios, rates and
                                                                                                                           Operations    percents.
                                                                                                                            Algebra      SPI0606.3.8 Select the qualitative graph that models a
                                                                                                                                         contextual situation e.g., water filling then draining from a
                                                                                                                                         bathtub.
                                                                                                                             Algebra     CU0606.3.7 Move fluently between different representations
                                                                                                                                         such as verbal, tabular, numerical, algebraic, and graphical of
                                                                                                                                         equations and expressions.
                                                                                                                             Algebra     CU0606.3.9 Write a contextual story modeled by a given graph.




                                                                                                                 Page 122 of 180
  Ratios &    Understand ratio concepts   RP.6.3.a Make tables of equivalent ratios relating quantities with whole-        Algebra     GLE0606.3.6 Understand and use the Cartesian coordinate
Proportional and use ratio reasoning to   number measurements, find missing values in the tables, and plot the                         system.
Relationships solve problems              pairs of values on the coordinate plane. Use tables to compare ratios.
                                                                                                                          Number &     CU0606.2.7 Connect ratio and rate to multiplication and
                                                                                                                          Operations   division.
                                                                                                                           Algebra     CU0606.3.7 Move fluently between different representations
                                                                                                                                       such as verbal, tabular, numerical, algebraic, and graphical of
                                                                                                                                       equations and expressions.
                                                                                                                           Algebra     CU0606.3.10 Understand that in an ordered pair x, y, the x
                                                                                                                                       represents horizontal location and y represents vertical
                                                                                                                                       location.
                                                                                                                           Algebra     CU0606.3.11 Identify the quadrant of the coordinate system in
                                                                                                                                       which a point lies.
                                                                                                                          Number &     SPI0606.2.6 Solve problems involving ratios, rates and
                                                                                                                          Operations   percents.
                                                                                                                           Algebra     SPI0606.3.4 Rewrite expressions to represent quantities in
                                                                                                                                       different ways.
                                                                                                                           Algebra     SPI0606.3.9 Graph ordered pairs of integers in all four
                                                                                                                                       quadrants of the Cartesian coordinate system.
  Ratios &    Understand ratio concepts   RP.6.3.b Solve unit rate problems including those involving unit pricing        Number &     SPI0606.2.6 Solve problems involving ratios, rates and
Proportional and use ratio reasoning to   and constant speed. For example, If it took 7 hours to mow 4 lawns, then        Operations   percents.
Relationships solve problems              at that rate, how many lawns could be mowed in 35 hours? At what rate
                                          were lawns being mowed?
                                                                                                                           Algebra     CU0606.3.4 Generate data and graph relationships concerning
                                                                                                                                       measurement of length, area, volume, weight, time,
                                                                                                                                       temperature, money, and information.
  Ratios &    Understand ratio concepts   RP.6.3.c Find a percent of a quantity as a rate per 100 (e.g., 30% of a         Number &     SPI0606.2.6 Solve problems involving ratios, rates and
Proportional and use ratio reasoning to   quantity means 30/100 times the quantity); solve problems involving             Operations   percents.
Relationships solve problems              finding the whole given a part and the percent.
                                                                                                                           Algebra    SPI0606.3.4 Rewrite expressions to represent quantities in
                                                                                                                                      different ways.
                                                                                                                          Number & CU0606.2.6 Recognize common percentages as ratios based
                                                                                                                          Operations on fractions whose denominators are 2, 3, 4, 5, or 10.
  Ratios &    Understand ratio concepts   RP.6.3.d Use ratio reasoning to convert measurement units; manipulate          Mathematical GLE0606.1.2 Apply and adapt a variety of appropriate
Proportional and use ratio reasoning to   and transform units appropriately when multiplying or dividing quantities.      Processes strategies to problem solving, including estimation, and
Relationships solve problems                                                                                                          reasonableness of the solution.
                                                                                                                           Algebra    CU0606.3.4 Generate data and graph relationships concerning
                                                                                                                                      measurement of length, area, volume, weight, time,
                                                                                                                                      temperature, money, and information.
                                                                                                                           Algebra    SPI0606.3.4 Rewrite expressions to represent quantities in
                                                                                                                                      different ways.




                                                                                                                Page 123 of 180
Number System Apply and extend previous        NS.6.1 Interpret and compute quotients of fractions, and solve word             Number &      GLE0606.2.1 Understand and explain the procedures for
              understandings of                problems involving division of fractions by fractions, e.g., by using visual    Operations    multiplication and division of fractions, mixed numbers, and
              multiplication and division to   fraction models and equations to represent the problem. For example,                          decimals.
              divide fractions by fractions    create a story context for (2/3) ÷ (3/4) and use a visual fraction model to
                                               show the quotient; use the relationship between multiplication and division
                                               to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general,
                                               (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people
                                               share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3
                                               of a cup of yogurt? How wide is a rectangular strip of land with length 3/4
                                               mi and area 1/2 square mi?

                                                                                                                               Number &      GLE0606.2.2 Solve multi-step mathematical, contextual and
                                                                                                                               Operations    verbal problems using fractions, mixed numbers, and decimals.

                                                                                                                               Number &    CU0606.2.2 Use area models to represent multiplication of
                                                                                                                               Operations  fractions.
                                                                                                                               Number &    CU0606.2.3 Create and solve contextual problems that lead
                                                                                                                               Operations  naturally to division of fractions.
                                                                                                                               Number &    CU0606.2.7 Connect ratio and rate to multiplication and
                                                                                                                               Operations  division.
                                                                                                                               Number &    SPI0606.2.1 Solve problems involving the multiplication and
                                                                                                                               Operations  division of fractions.
                                                                                                                               Number &    SPI0606.2.2 Solve problems involving the addition, subtraction,
                                                                                                                               Operations  multiplication, and division of mixed numbers.
                                                                                                                               Number &    SPI0606.2.4 Solve multi-step arithmetic problems using
                                                                                                                               Operations  fractions, mixed numbers, and decimals.
                                                                                                                              Mathematical GLE0606.1.4 Move flexibly between concrete and abstract
                                                                                                                               Processes   representations of mathematical ideas in order to solve
                                                                                                                                           problems, model mathematical ideas, and communicate
                                                                                                                                           solution strategies.
                                                                                                                              Mathematical GLE0606.1.8 Use technologies/manipulatives appropriately to
                                                                                                                               Processes develop understanding of mathematical algorithms, to facilitate
                                                                                                                                           problem solving, and to create accurate and reliable models of
                                                                                                                                           mathematical concepts.
Number System Compute fluently with multi-     NS.6.2 Fluently divide multi-digit numbers using the standard algorithm.        Number & GRADE 5: SPI0506.2.4 Solve problems involving the division of Common Core Standard is one
              digit numbers and find                                                                                           Operations two- and three-digit whole numbers by one- and two-digit whole grade above TN Check for
              common factors and                                                                                                           numbers.                                                        Understanding.
              multiples
Number System Compute fluently with multi-     NS.6.3 Fluently add, subtract, multiply, and divide multi-digit decimals        Number &      SPI0606.2.3 Solve problems involving the addition, subtraction,
              digit numbers and find           using the standard algorithm for each operation.                                Operations    multiplication, and division of decimals.
              common factors and
              multiples
                                                                                                                               Number &      SPI0606.2.4 Solve multi-step arithmetic problems using
                                                                                                                               Operations    fractions, mixed numbers, and decimals.




                                                                                                                     Page 124 of 180
Number System Compute fluently with multi-   NS.6.4 Find the greatest common factor of two whole numbers less than          Mathematical SPI0606.1.4 Select the representation that models one of the
              digit numbers and find         or equal to 100 and the least common multiple of two whole numbers less         Processes arithmetic properties commutative, associative, or distributive.
              common factors and             than or equal to 12. Use the distributive property to express a sum of two
              multiples                      whole numbers 1–100 with a common factor as a multiple of a sum of two
                                             whole numbers with no common factor. For example, express 36 + 8 as 4
                                             (9 + 2).
                                                                                                                              Algebra      CU0606.3.5 Use the commutative, associative and distributive
                                                                                                                                           properties to show that two expressions are equivalent.

Number System Apply and extend previous      NS.6.5 Apply and extend previous understandings of numbers to the               Number &      GLE0606.2.5 Develop meaning for integers; represent and
              understandings of numbers      system of rational numbers. Understand that positive and negative               Operations    compare quantities with integers.
              to the system of rational      numbers are used together to describe quantities having opposite
              numbers                        directions or values (e.g., temperature above/below zero, elevation
                                             above/below sea level, debits/credits, positive/negative electric charge);
                                             use positive and negative numbers to represent quantities in real-world
                                             contexts, explaining the meaning of 0 in each situation.

                                                                                                                             Number &      CU0606.2.10 Explore contexts that can be described with
                                                                                                                             Operations    negative numbers such as money, elevation, and temperature.

                                                                                                                             Number &      SPI0606.2.7 Locate positive rational numbers on the number
                                                                                                                             Operations    line.
                                                                                                                             Number &      SPI0606.2.8 Locate integers on the number line.
                                                                                                                             Operations
                                                                                                                            Mathematical   GLE0606.1.4 Move flexibly between concrete and abstract
                                                                                                                             Processes     representations of mathematical ideas in order to solve
                                                                                                                                           problems, model mathematical ideas, and communicate
                                                                                                                                           solution strategies.
Number System Apply and extend previous      NS.6.6 Understand a rational number as a point on the number line.              Number &      GLE0606.2.5 Develop meaning for integers; represent and
              understandings of numbers      Extend number line diagrams and coordinate axes familiar from previous          Operations    compare quantities with integers.
              to the system of rational      grades to represent points on the line and in the plane with negative
              numbers                        number coordinates.
                                                                                                                             Number &      CU0606.2.1 Efficiently compare and order fractions, decimals
                                                                                                                             Operations    and percents; determine their approximate locations on a
                                                                                                                                           number line.
                                                                                                                             Number &      CU0606.2.10 Explore contexts that can be described with
                                                                                                                             Operations    negative numbers such as money, elevation, and temperature.

                                                                                                                             Number &      SPI0606.2.7 Locate positive rational numbers on the number
                                                                                                                             Operations    line.
                                                                                                                             Number &      SPI0606.2.8 Locate integers on the number line.
                                                                                                                             Operations




                                                                                                                   Page 125 of 180
Number System Apply and extend previous   NS.6.6.a Recognize opposite signs of numbers as indicating locations on            Number &     GRADE 7: CU0706.2.4 Understand that a and -a are additive       Common Core Standard is one
              understandings of numbers   opposite sides of 0 on the number line; recognize that the opposite of the         Operations   inverses and are located the same distance from zero on the     grade beloe TN Check for
              to the system of rational   opposite of a number is the number itself, e.g., –(–3) = 3, and that 0 is its                   number line; relate distance from zero to absolute value.       Understanding.
              numbers                     own opposite.                                                                      Number &     GRADE 7: CU0706.2.5 Understand that --a = a for any number      Common Core Standard is one
                                                                                                                             Operations   a.                                                              grade below TN Check for
                                                                                                                                                                                                          Understanding.
Number System Apply and extend previous   NS.6.6.b Understand signs of numbers in ordered pairs as indicating                 Algebra     GLE0606.3.6 Understand and use the Cartesian coordinate
              understandings of numbers   locations in quadrants of the coordinate plane; recognize that when two                         system.
              to the system of rational   ordered pairs differ only by signs, the locations of the points are related by
              numbers                     reflections across one or both axes.                                                Algebra     CU0606.3.10 Understand that in an ordered pair x, y, the x
                                                                                                                                          represents horizontal location and y represents vertical
                                                                                                                                          location.
                                                                                                                              Algebra     CU0606.3.11 Identify the quadrant of the coordinate system in
                                                                                                                                          which a point lies.
                                                                                                                              Algebra     SPI0606.3.9 Graph ordered pairs of integers in all four
                                                                                                                                          quadrants of the Cartesian coordinate system.
Number System Apply and extend previous   NS.6.6.c Find and position integers and other rational numbers on a                Number &     SPI0606.2.7 Locate positive rational numbers on the number
              understandings of numbers   horizontal or vertical number line diagram; find and position pairs of             Operations   line.
              to the system of rational   integers and other rational numbers on a coordinate plane.
              numbers                                                                                                        Number &     SPI0606.2.8 Locate integers on the number line.
                                                                                                                             Operations
Number System Apply and extend previous   NS.6.7 Understand ordering and absolute value of rational numbers.                 Number &     CU0606.2.1 Efficiently compare and order fractions, decimals
              understandings of numbers                                                                                      Operations   and percents; determine their approximate locations on a
              to the system of rational                                                                                                   number line.
              numbers
                                                                                                                             Number &     CU0606.2.10 Explore contexts that can be described with
                                                                                                                             Operations   negative numbers such as money, elevation, and temperature.

                                                                                                                             Number &     SPI0606.2.7 Locate positive rational numbers on the number
                                                                                                                             Operations   line.
                                                                                                                             Number &     SPI0606.2.8 Locate integers on the number line.
                                                                                                                             Operations
Number System Apply and extend previous   NS.6.7.a Interpret statements of inequality as statements about the                Number &     CU0606.2.10 Explore contexts that can be described with
              understandings of numbers   relative position of two numbers on a number line diagram. For example,            Operations   negative numbers such as money, elevation, and temperature.
              to the system of rational   interpret –3 > –7 as a statement that –3 is located to the right of –7 on a
              numbers                     number line oriented from left to right.
                                                                                                                             Number &     SPI0606.2.7 Locate positive rational numbers on the number
                                                                                                                             Operations   line.
                                                                                                                             Number &     SPI0606.2.8 Locate integers on the number line.
                                                                                                                             Operations
Number System Apply and extend previous   NS.6.7b Write, interpret, and explain statements of order for rational             Number &     CU0606.2.10 Explore contexts that can be described with
              understandings of numbers   numbers in real-world contexts. For example, write –3°C > –7°C to                  Operations   negative numbers such as money, elevation, and temperature.
              to the system of rational   express the fact that –3°C is warmer than –7°C.
              numbers



                                                                                                                   Page 126 of 180
                                                                                                                            Number &      SPI0606.2.7 Locate positive rational numbers on the number
                                                                                                                            Operations    line.
                                                                                                                            Number &      SPI0606.2.8 Locate integers on the number line.
                                                                                                                            Operations
Number System Apply and extend previous     NS.6.7.c Understand the absolute value of a rational number as its              Number &      GRADE 7: CU0706.2.4 Understand that a and -a are additive      Common Core Standard is one
              understandings of numbers     distance from 0 on the number line; interpret absolute value as magnitude       Operations    inverses and are located the same distance from zero on the    grade below TN Check for
              to the system of rational     for a positive or negative quantity in a real-world situation. For example,                   number line; relate distance from zero to absolute value.      Understanding.
              numbers                       for an account balance of –30 dollars, write |–30| = 30 to describe the size
                                            of the debt in dollars.

                                                                                                                            Number &      GRADE 7: CU0706.2.5 Understand that --a = a for any number Common Core Standard is one
                                                                                                                            Operations    a.                                                         grade below TN Check for
                                                                                                                                                                                                     Understanding.

Number System Apply and extend previous     NS.6.7.d Distinguish comparisons of absolute value from statements              Number &      CU0606.2.1 Efficiently compare and order fractions, decimals
              understandings of numbers     about order. For example, recognize that an account balance less than           Operations    and percents; determine their approximate locations on a
              to the system of rational     –30 dollars represents a debt greater than 30 dollars.                                        number line.
              numbers
Number System Apply and extend previous     NS.6.8 Solve real-world and mathematical problems by graphing points in         Geometry & GRADE 5: GLE0506.4.3 Describe length/distance relationships *** Common Core Standard is
              understandings of numbers     all four quadrants of the coordinate plane. Include use of coordinates and     Measurement using the first quadrant of the coordinate system.          one grade above TN GLE.
              to the system of rational     absolute value to find distances between points with the same first
              numbers                       coordinate or the same second coordinate.
                                                                                                                            Geometry & GRADE 5: CU0506.4.8 Identify characteristics of the set of        Common Core Standard is one
                                                                                                                           Measurement points that define vertical and horizontal line segments.         grade above TN Check for
                                                                                                                                                                                                         Understanding.

                                                                                                                           Data Analysis, GRADE 5: CU0506.5.2 Represent data using ordered pairs in      Common Core Standard is one
                                                                                                                            Probability, the first quadrant of the coordinate system.                    grade above TN Check for
                                                                                                                             Statistics                                                                  Understanding.

                                                                                                                            Geometry & GRADE 5: SPI0506.4.5 Find the length of vertical or horizontal    Common Core Standard is one
                                                                                                                           Measurement line segments in the first quadrant of the coordinate system,     grade above TN Check for
                                                                                                                                        including problems that require the use of fractions and         Understanding.
                                                                                                                                        decimals.
                                                                                                                             Algebra    GLE0606.3.6 Understand and use the Cartesian coordinate
                                                                                                                                        system.
                                                                                                                           Mathematical GLE0606.1.2 Apply and adapt a variety of appropriate
                                                                                                                            Processes strategies to problem solving, including estimation, and
                                                                                                                                        reasonableness of the solution.
Expressions & Apply and extend previous    EE.6.1 Write and evaluate numerical expressions involving whole-                  Algebra    GLE0606.3.3 Extend order of operations to include grouping
  Equations   understandings of arithmetic number exponents.                                                                            symbols and exponents.
              to algebraic expressions




                                                                                                                  Page 127 of 180
                                                                                                                          Algebra   CU0606.3.7 Move fluently between different representations
                                                                                                                                    such as verbal, tabular, numerical, algebraic, and graphical of
                                                                                                                                    equations and expressions.
                                                                                                                          Algebra   CU0606.3.8 Represent patterns using words, graphs, and
                                                                                                                                    simple symbolic notation.
                                                                                                                          Algebra   SPI0606.3.2 Use order of operations and parentheses to
                                                                                                                                    simplify expressions and solve problems.
                                                                                                                          Algebra   SPI0606.3.4 Rewrite expressions to represent quantities in
                                                                                                                                    different ways.
                                                                                                                          Algebra   SPI0606.3.7 Use algebraic expressions and properties to
                                                                                                                                    analyze numeric and geometric patterns.
Expressions & Apply and extend previous    EE.6.2 Write, read, and evaluate expressions in which letters stand for        Algebra   GLE0606.3.1 Write and solve two-step equations and
  Equations   understandings of arithmetic numbers.                                                                                 inequalities.
              to algebraic expressions
                                                                                                                          Algebra   GLE0606.3.2 Interpret and represent algebraic relationships
                                                                                                                                    with variables in expressions, simple equations and
                                                                                                                                    inequalities.
                                                                                                                          Algebra   CU0606.3.3 Recognize the use of juxtaposition such as 3x, ab
                                                                                                                                    to stand for multiplication, and the convention in these cases of
                                                                                                                                    writing numbers before letters.
                                                                                                                          Algebra   CU0606.3.5 Use the commutative, associative and distributive
                                                                                                                                    properties to show that two expressions are equivalent.

                                                                                                                          Algebra   CU0606.3.7 Move fluently between different representations
                                                                                                                                    such as verbal, tabular, numerical, algebraic, and graphical of
                                                                                                                                    equations and expressions.
                                                                                                                          Algebra   SPI0606.3.4 Rewrite expressions to represent quantities in
                                                                                                                                    different ways.
                                                                                                                          Algebra   SPI0606.3.5 Translate between verbal expressions/sentences
                                                                                                                                    and algebraic expressions/equations.

Expressions & Apply and extend previous    EE.6.2.a Write expressions that record operations with numbers and with        Algebra   GRADE 5: GLE0506.3.1 Understand and use order of                    *** Common Core Standard is
  Equations   understandings of arithmetic letters standing for numbers. For example, express the calculation                       operations.                                                         one grade above TN GLE.
              to algebraic expressions     “Subtract y from 5” as 5 – y.
                                                                                                                          Algebra   GRADE 5: GLE0506.3.2 Develop and apply the concept of               *** Common Core Standard is
                                                                                                                                    variable.                                                           one grade above TN GLE.


                                                                                                                          Algebra   GRADE 5: GLE0506.3.3 Understand and apply the substitution          *** Common Core Standard is
                                                                                                                                    property.                                                           one grade above TN GLE.
                                                                                                                          Algebra   GRADE 5: CU0506.3.1 Evaluate an expression by substituting          Common Core Standard is one
                                                                                                                                    non-negative rational number values for letter variables in the     grade above TN Check for
                                                                                                                                    expression.                                                         Understanding.
                                                                                                                          Algebra   GRADE 5: SPI0506.3.1 Evaluate algebraic expressions                 Common Core Standard is one
                                                                                                                                    involving decimals and fractions using order of operations.         grade above TN SPI.


                                                                                                               Page 128 of 180
Expressions & Apply and extend previous    EE.6.2.b Identify parts of an expression using mathematical terms (sum,        Mathematical GLE0606.1.1 Use mathematical language, symbols, and
  Equations   understandings of arithmetic term, product, factor, quotient, coefficient); view one or more parts of an     Processes definitions while developing mathematical reasoning.
              to algebraic expressions     expression as a single entity. For example, describe the expression 2(8 +
                                           7) as a product of two factors; view (8 + 7) as both a single entity and a
                                           sum of two terms.

                                                                                                                            Algebra      CU0606.3.3 Recognize the use of juxtaposition such as 3x, ab
                                                                                                                                         to stand for multiplication, and the convention in these cases of
                                                                                                                                         writing numbers before letters.
Expressions & Apply and extend previous    EE.6.2.c Evaluate expressions at specific values for their variables.            Algebra      GRADE 5: GLE0506.3.3 Understand and apply the substitution *** Common Core Standard is
  Equations   understandings of arithmetic Include expressions that arise from formulas in real-world problems.                          property.                                                         one grade above TN GLE.
              to algebraic expressions     Perform arithmetic operations, including those involving whole-number
                                           exponents, in the conventional order when there are no parentheses to
                                           specify a particular order (Order of Operations). For example, use the
                                           formulas V = s^3 and A = 6 s^2 to find the volume and surface area of a
                                           cube with sides of length s = 1/2.

                                                                                                                            Algebra   GRADE 5: CU0506.3.1 Evaluate an expression by substituting             Common Core Standard is one
                                                                                                                                      non-negative rational number values for letter variables in the        grade above TN Check for
                                                                                                                                      expression.                                                            Understanding.
                                                                                                                            Algebra   GRADE 5: SPI0506.3.1 Evaluate algebraic expressions                    Common Core Standard is one
                                                                                                                                      involving decimals and fractions using order of operations.            grade above TN SPI.
                                                                                                                            Algebra   GRADE 5: SPI0506.3.2 Evaluate multi-step numerical                     Common Core Standard is one
                                                                                                                                      expressions involving fractions using order of operations.             grade above TN SPI.
                                                                                                                            Algebra   GLE0606.3.3 Extend order of operations to include grouping
                                                                                                                                      symbols and exponents.
                                                                                                                            Algebra   GLE0606.3.4 Use expressions, equations and formulas to solve
                                                                                                                                      problems.
                                                                                                                           Geometry & SPI0606.4.5 Determine the surface area and volume of prisms,
                                                                                                                          Measurement pyramids and cylinders.

Expressions & Apply and extend previous    EE.6.3 Apply the properties of operations to generate equivalent                 Algebra      GLE0606.3.2 Interpret and represent algebraic relationships
  Equations   understandings of arithmetic expressions. For example, apply the distributive property to the expression                   with variables in expressions, simple equations and
              to algebraic expressions     3(2 + x) to produce the equivalent expression 6 + 3x; apply the distributive                  inequalities.
                                           property to the expression 24x + 18y to produce the equivalent expression
                                           6 (4x + 3y); apply properties of operations to y + y + y to produce the
                                           equivalent expression 3y.
                                                                                                                            Algebra      CU0606.3.3 Recognize the use of juxtaposition such as 3x, ab
                                                                                                                                         to stand for multiplication, and the convention in these cases of
                                                                                                                                         writing numbers before letters.
                                                                                                                            Algebra      CU0606.3.5 Use the commutative, associative and distributive
                                                                                                                                         properties to show that two expressions are equivalent.




                                                                                                                 Page 129 of 180
                                                                                                                          Algebra     CU0606.3.7 Move fluently between different representations
                                                                                                                                      such as verbal, tabular, numerical, algebraic, and graphical of
                                                                                                                                      equations and expressions.
                                                                                                                          Algebra     SPI0606.3.2 Use order of operations and parentheses to
                                                                                                                                      simplify expressions and solve problems.
                                                                                                                          Algebra     SPI0606.3.4 Rewrite expressions to represent quantities in
                                                                                                                                      different ways.
                                                                                                                          Algebra     SPI0606.3.5 Translate between verbal expressions/sentences
                                                                                                                                      and algebraic expressions/equations.

Expressions & Apply and extend previous    EE.6.4 Identify when two expressions are equivalent (i.e., when the two      Mathematical GLE0606.1.8 Use technologies/manipulatives appropriately to
  Equations   understandings of arithmetic expressions name the same number regardless of which value is                 Processes develop understanding of mathematical algorithms, to facilitate
              to algebraic expressions     substituted into them). For example, the expressions y + y + y and 3y are                 problem solving, and to create accurate and reliable models of
                                           equivalent because they name the same number regardless of which                          mathematical concepts.
                                                                                                                        Mathematical CU0606.1.5 Illustrate properties of operations by showing that
                                                                                                                         Processes two expressions are equivalent in a given context e.g., using an
                                                                                                                                     area model for distributive property, and grouping/set models
                                                                                                                                     for commutative and associative properties.
                                                                                                                        Mathematical CU0606.1.11 Model algebraic expressions with manipulatives,
                                                                                                                         Processes technology, and pencil and paper.
                                                                                                                        Mathematical SPI0606.1.5 Model algebraic expressions using algebra tiles.
                                                                                                                         Processes
Expressions & Reason about and solve one- EE.6.5 Understand solving an equation or inequality as a process of             Algebra    GRADE 5: GLE0506.3.3 Understand and apply the substitution *** Common Core Standard is
  Equations   variable equations and      answering a question: which values from a specified set, if any, make the                  property.                                                      one grade above TN GLE.
              inequalities                equation or inequality true? Use substitution to determine whether a given
                                          number in a specified set makes an equation or inequality true.

                                                                                                                          Algebra     GRADE 5: CU0506.3.5 Determine if a given value is a solution Common Core Standard is one
                                                                                                                                      to a linear equation/inequality.                             grade above TN Check for
                                                                                                                                                                                                   Understanding.
Expressions & Reason about and solve one- EE.6.6 Use variables to represent numbers and write expressions when            Algebra     GRADE 4: GLE0406.3.1 Extend understanding of a variable to Common Core Standard is two
  Equations   variable equations and      solving a real-world or mathematical problem; understand that a variable                    equations involving whole numbers, fractions, decimals, and/or grades above TN Check for
              inequalities                can represent an unknown number, or, depending on the purpose at hand,                      mixed numbers.                                                 Understanding.
                                          any number in a specified set.
                                                                                                                          Algebra     GRADE 4: CU0406.3.1 Find an unknown quantity in simple            Common Core Standard is two
                                                                                                                                      equations using whole numbers, fractions, decimals, and mixed     grades above TN Check for
                                                                                                                                      numbers.                                                          Understanding.
                                                                                                                          Algebra     GRADE 4: CU0406.3.2 Translate between symbols and words           Common Core Standard is two
                                                                                                                                      to represent quantities in expressions or equations.              grades above TN Check for
                                                                                                                                                                                                        Understanding.
                                                                                                                          Algebra     GRADE 4: SPI0406.3.1 Use letters and symbols to represent         Common Core Standard is two
                                                                                                                                      an unknown quantity and write a simple mathematical               grades above TN SPI.
                                                                                                                                      expression.




                                                                                                               Page 130 of 180
                                                                                                                             Algebra   GRADE 5: CU0506.3.2 Use variables appropriately to                Common Core Standard is one
                                                                                                                                       represent numbers whose values are not yet known.                 grade above TN Check for
                                                                                                                                                                                                         Understanding.
Expressions & Reason about and solve one- EE.6.7 Solve real-world and mathematical problems by writing and                   Algebra   GLE0606.3.4 Use expressions, equations and formulas to solve
  Equations   variable equations and      solving equations of the form x + p = q and px = q for cases in which p, q                   problems.
              inequalities                and x are all nonnegative rational numbers.
                                                                                                                             Algebra   GLE0606.3.5 Use multiple representations including symbolic
                                                                                                                                       algebra to model and/or solve contextual problems that involve
                                                                                                                                       linear relationships.
                                                                                                                             Algebra   CU0606.3.1 Write and solve two-step linear equations
                                                                                                                                       corresponding to given situations non-negative numbers only.

                                                                                                                             Algebra   CU0606.3.2 Write and solve one-step inequalities
                                                                                                                                       corresponding to given situations non-negative numbers only.

                                                                                                                             Algebra   SPI0606.3.3 Write equations that correspond to given
                                                                                                                                       situations or represent a given mathematical relationship.
Expressions & Reason about and solve one- EE.6.8 Write an inequality of the form x > c or x < c to represent a               Algebra   GLE0606.3.4 Use expressions, equations and formulas to solve
  Equations   variable equations and      constraint or condition in a real-world or mathematical problem. Recognize                   problems.
              inequalities                that inequalities of the form x > c or x < c have infinitely many solutions;
                                          represent solutions of such inequalities on number line diagrams.


                                                                                                                             Algebra   GLE0606.3.5 Use multiple representations including symbolic
                                                                                                                                       algebra to model and/or solve contextual problems that involve
                                                                                                                                       linear relationships.
                                                                                                                             Algebra   CU0606.3.1 Write and solve two-step linear equations
                                                                                                                                       corresponding to given situations non-negative numbers only.

                                                                                                                             Algebra   CU0606.3.2 Write and solve one-step inequalities
                                                                                                                                       corresponding to given situations non-negative numbers only.

                                                                                                                             Algebra   SPI0606.3.1 Represent on a number line the solution of a linear
                                                                                                                                       inequality.
Expressions & Represent and analyze          EE.6.9 Use variables to represent two quantities in a real-world problem        Algebra   GLE0606.3.2 Interpret and represent algebraic relationships
  Equations   quantitative relationships     that change in relationship to one another; write an equation to express                  with variables in expressions, simple equations and
              between dependent and          one quantity, thought of as the dependent variable, in terms of the other                 inequalities.
              independent variables          quantity, thought of as the independent variable. Analyze the relationship
                                             between the dependent and independent variables using graphs and
                                             tables, and relate these to the equation. For example, in a problem
                                             involving motion at constant speed, list and graph ordered pairs of
                                             distances and times, and write the equation d = 65t to represent the
                                             relationship between distance and time.




                                                                                                                  Page 131 of 180
                                                                                                                        Algebra    GLE0606.3.5 Use multiple representations including symbolic
                                                                                                                                   algebra to model and/or solve contextual problems that involve
                                                                                                                                   linear relationships.
                                                                                                                      Mathematical GRADE 7: CU0706.1.6 Develop meaning of intercept and rate
                                                                                                                       Processes of change in contextual problems.
Geometry   Solve real-world and            G.6.1 Solve real-world and mathematical problems involving area, surface    Geometry & GRADE 5: GLE0506.4.1 Use basic formulas and visualization *** Common Core Standard is
           mathematical problems           area, and volume. Find area of right triangles, other triangles, special   Measurement to find the area of geometric figures.                          one grade above TN GLE.
           involving area, surface area,   quadrilaterals, and polygons by composing into rectangles or
           and volume                      decomposing into triangles and other shapes; apply these techniques in
                                           the context of solving real-world and mathematical problems.


                                                                                                                       Geometry & GRADE 5: CU0506.4.2 Find the area of a convex polygon by          Common Core Standard is one
                                                                                                                      Measurement decomposing it into triangles/rectangles.                         grade above TN Check for
                                                                                                                                                                                                    Understanding.

                                                                                                                       Geometry & GRADE 5: SPI0506.4.1 Solve contextual problems that require Common Core Standard is one
                                                                                                                      Measurement calculating the area of triangles and parallelograms.       grade above TN SPI.

                                                                                                                       Geometry & GRADE 5: SPI0506.4.2 Decompose irregular shapes to find           Common Core Standard is one
                                                                                                                      Measurement perimeter and area.                                               grade above TN SPI.

                                                                                                                       Geometry & GLE0606.4.1 Understand and use basic properties of triangles,
                                                                                                                      Measurement quadrilaterals, and other polygons.

                                                                                                                       Geometry & GLE0606.4.3 Develop and use formulas to determine the
                                                                                                                      Measurement circumference and area of circles, and the area of trapezoids,
                                                                                                                                  and develop strategies to find the area of composite shapes.

                                                                                                                       Geometry & CU0606.4.14 Relate the area of a trapezoid to the area of a
                                                                                                                      Measurement parallelogram.

                                                                                                                       Geometry & CU0606.4.16 Solve contextual problems involving area and
                                                                                                                      Measurement circumference of circles, surface areas and volumes of prisms,
                                                                                                                                   pyramids, cones, and cylinders.
                                                                                                                      Mathematical GLE0606.1.8 Use technologies/manipulatives appropriately to
                                                                                                                       Processes develop understanding of mathematical algorithms, to facilitate
                                                                                                                                   problem solving, and to create accurate and reliable models of
                                                                                                                                   mathematical concepts.
                                                                                                                      Mathematical CU0606.1.10 Use various methods such as dynamic geometry
                                                                                                                       Processes software to explore properties of triangles and quadrilaterals.




                                                                                                             Page 132 of 180
Geometry   Solve real-world and            G.6.2 Find the volume of a right rectangular prism with fractional edge           Geometry & GRADE 5: GLE0506.4.2 Describe polyhedral solids and               *** Common Core Standard is
           mathematical problems           lengths by packing it with unit cubes of the appropriate unit fraction edge      Measurement analyze their properties, including volume and surface area.      one grade above TN GLE.
           involving area, surface area,   lengths, and show that the volume is the same as would be found by
           and volume                      multiplying the edge lengths of the prism. Apply the formulas V = l w h and
                                           V = b h to find volumes of right rectangular prisms with fractional edge
                                           lengths in the context of solving real-world and mathematical problems.



                                                                                                                             Geometry & GRADE 5: CU0506.4.6 Decompose prisms to calculate surface Common Core Standard is one
                                                                                                                            Measurement area and volume.                                           grade above TN Check for
                                                                                                                                                                                                   Understanding.
                                                                                                                             Geometry & GRADE 5: SPI0506.4.4 Solve problems involving surface area Common Core Standard is one
                                                                                                                            Measurement and volume of rectangular prisms and polyhedral solids.    grade above TN SPI.

Geometry   Solve real-world and            G.6.3 Draw polygons in the coordinate plane given coordinates for the              Algebra      GLE0606.3.6 Understand and use the Cartesian coordinate
           mathematical problems           vertices; use coordinates to find the length of a side joining points with the                  system.
           involving area, surface area,   same first coordinate or the same second coordinate. Apply these
           and volume                      techniques in the context of solving real-world and mathematical
                                           problems.

                                                                                                                            Geometry &  SPI0406.4.3 Construct geometric figures with vertices at points
                                                                                                                            Measurement on a coordinate grid.
                                                                                                                            MathematicalGLE0606.1.7 Recognize the historical development of
                                                                                                                             Processes  mathematics, mathematics in context, and the connections
                                                                                                                                        between mathematics and the real world.
Geometry   Solve real-world and            G.6.4 Represent three-dimensional figures using nets made up of                   Geometry & GRADE 5: GLE0506.4.2 Describe polyhedral solids and             *** Common Core Standard is
           mathematical problems           rectangles and triangles, and use the nets to find the surface area of these     Measurement analyze their properties, including volume and surface area.    one grade above TN GLE.
           involving area, surface area,   figures. Apply these techniques in the context of solving real-world and
           and volume                      mathematical problems.                                                            Geometry & GRADE 5: CU0506.4.3 Build, draw, and work with prisms by       Common Core Standard is one
                                                                                                                            Measurement means of orthogonal views, projective views, and nets.         grade above TN Check for
                                                                                                                                                                                                       Understanding.
                                                                                                                             Geometry & GRADE 5: CU0506.4.4 Describe and identify the five regular     Common Core Standard is one
                                                                                                                            Measurement Platonic solids and their properties with respect to faces,    grade above TN Check for
                                                                                                                                        shapes of faces, edges, and vertices.                          Understanding.
                                                                                                                             Geometry & GRADE 4: SPI0506.4.3 Identify a three-dimensional object from Common Core Standard is one
                                                                                                                            Measurement two-dimensional representations of that object and vice versa. grade above TN SPI.

                                                                                                                            Mathematical GLE0606.1.3 Develop independent reasoning to communicate
                                                                                                                             Processes mathematical ideas and derive algorithms and/or formulas.

                                                                                                                            Mathematical GLE0606.1.5 Use mathematical ideas and processes in
                                                                                                                             Processes different settings to formulate patterns, analyze graphs, set up
                                                                                                                                         and solve problems and interpret solutions.



                                                                                                                   Page 133 of 180
Statistics &   Develop understanding of   SP.6.1 Recognize a statistical question as one that anticipates variability    Data Analysis, GLE0606.5.2 Interpret representations of data from surveys
Probability    statistical variability    in the data related to the question and accounts for it in the answers. For     Probability, and polls, and describe sample bias and how data
                                          example, “How old am I?” is not a statistical question, but “How old are the     Statistics   representations can be misleading.
                                          students in my school?” is a statistical question because one anticipates
                                          variability in students’ ages.
                                                                                                                         Mathematical GLE0606.1.6 Read and interpret the language of mathematics
                                                                                                                          Processes and use written/oral communication to express mathematical
                                                                                                                                        ideas precisely.
Statistics &   Develop understanding of   SP.6.2 Understand that a set of data collected to answer a statistical         Data Analysis, GRADE 5: GLE0506.5.2 Describe the shape and important           *** Common Core Standard is
Probability    statistical variability    question has a distribution which can be described by its center, spread,       Probability, features of a set of data using the measures of central          one grade above TN GLE.
                                          and overall shape.                                                               Statistics   tendency.

                                                                                                                         Data Analysis, GRADE 5: CU0506.5.5 Evaluate how different measures of          Common Core Standard is one
                                                                                                                          Probability, central tendency describe data.                                  grade above TN Check for
                                                                                                                           Statistics                                                                   Understanding.

                                                                                                                         Data Analysis, GRADE 5: SPI0506.5.3 Calculate measures of central              Common Core Standard is one
                                                                                                                          Probability, tendency to analyze data.                                        grade above TN SPI.
                                                                                                                           Statistics

                                                                                                                         Mathematical     SPI0606.1.1 Make conjectures and predictions based on data.
                                                                                                                          Processes
Statistics &   Develop understanding of   SP.6.3 Recognize that a measure of center for a numerical data set             Data Analysis,   GRADE 5: GLE0506.5.2 Describe the shape and important         *** Common Core Standard is
Probability    statistical variability    summarizes all of its values with a single number, while a measure of           Probability,    features of a set of data using the measures of central       one grade above TN GLE.
                                          variation describes how its values vary with a single number.                    Statistics     tendency.

                                                                                                                         Data Analysis, GRADE 5: CU0506.5.5 Evaluate how different measures of          Common Core Standard is one
                                                                                                                          Probability, central tendency describe data.                                  grade above TN Check for
                                                                                                                           Statistics                                                                   Understanding.

                                                                                                                         Data Analysis, GRADE 5: SPI0506.5.3 Calculate measures of central              Common Core Standard is one
                                                                                                                          Probability, tendency to analyze data.                                        grade above TN SPI.
                                                                                                                           Statistics

Statistics &   Summarize and describe     SP.6.4 Display numerical data in plots on a number line, including dot         Data Analysis, CU0606.5.8 Connect data sets and their graphical
Probability    distributions              plots, histograms, and box plots.                                               Probability, representations such as bar graphs, circle graphs, and stem-
                                                                                                                           Statistics   and-leaf plots.




                                                                                                                Page 134 of 180
Statistics &   Summarize and describe   SP.6.5 Summarize numerical data sets in relation to their context, such         Mathematical GLE0606.1.6 Read and interpret the language of mathematics
Probability    distributions            as by:                                                                           Processes and use written/oral communication to express mathematical
                                         -- a. Reporting the number of observations.                                                 ideas precisely.
                                         -- b. Describing the nature of the attribute under investigation, including
                                        how it was measured and its units of measurement.
                                         -- c. Giving quantitative measures of center (median and/or mean) and
                                        variability (interquartile range and/or mean absolute deviation), as well as
                                        describing any overall pattern and any striking deviations from the overall
                                        pattern with reference to the context in which the data was gathered.
                                         -- d. Relating the choice of measures of center and variability to the        Mathematical     CU0606.1.6 Model situations by devising and carrying out
                                                                                                                        Processes       experiments and simulations.
                                                                                                                       Mathematical     CU0606.1.7 Formulate questions, design studies, and collect
                                                                                                                        Processes       real world data.
                                                                                                                       Mathematical     CU0606.1.8 Determine an appropriate sample to test an
                                                                                                                        Processes       hypothesis.
                                                                                                                       Data Analysis,   CU0606.5.11 Select the appropriate measure of center to
                                                                                                                        Probability,    describe a data set.
                                                                                                                         Statistics

                                                                                                                       Data Analysis, CU0606.5.12 Predict the characteristics of a population based
                                                                                                                        Probability, on the analysis of sample data.
                                                                                                                         Statistics

                                                                                                                       Mathematical     SPI0606.1.1 Make conjectures and predictions based on data.
                                                                                                                       Processes




                                                                                                               Page 135 of 180
 Mathematics                                                                                                                                Correlation by Learning Expections with Aligned           Crosswalk Correlation
                Mathematics Common Core
Common Core                                                   Mathematics Common Core Standard                             TN Standard      Checks for Understanding and State Performance             Notes (Shaded rows
                         Cluster
   Domain                                                                                                                                                      Indicators                            indicated grade change)


  Ratios &           Analyze proportional       RP.7.1 Analyze proportional relationships and use them to solve           Mathematical SPI0706.1.1 Use proportional reasoning to solve
Proportional    relationships and use them to   real-world and mathematical problems. Compute unit rates                   Processes mixture/concentration problems.
Relationships         solve real-world and      associated with ratios of fractions, including ratios of lengths, areas
                   mathematical problems        and other quantities measured in like or different units. For
                                                example, if a person walks 1/2 mile in each 1/4 hour, compute the
                                                unit rate as the complex fraction (1/2)/(1/4) miles per hour,
                                                equivalently 2 miles per hour.

                                                                                                                           Number &    GLE0706.2.4 Use ratios, rates and percents to solve single-
                                                                                                                           Operations  and multi-step problems in various contexts.
                                                                                                                            Algebra    CU0706.3.10 Solve problems involving unit rates e.g., miles
                                                                                                                                       per hour, words per minute.
  Ratios &           Analyze proportional     RP.7.2 Analyze proportional relationships and use them to solve             Mathematical SPI0706.1.3 Recognize whether information given in a
Proportional    relationships and use them to real-world and mathematical problems. Recognize and represent                Processes table, graph, or formula suggests a directly proportional,
Relationships         solve real-world and    proportional relationships between quantities.                                           linear, inversely proportional, or other nonlinear
                   mathematical problems                                                                                               relationship.
                                                                                                                            Number &     GLE0706.2.3 Develop an understanding of and apply
                                                                                                                           Operations    proportionality.
                                                                                                                           Geometry &    GLE0706.4.3 Understand and use scale factor to describe
                                                                                                                          Measurement    the relationships between length, area, and volume.

  Ratios &           Analyze proportional       RP.7.2.a Decide whether two quantities are in a proportional              Mathematical SPI0706.1.2 Generalize a variety of patterns to a symbolic
Proportional    relationships and use them to   relationship, e.g., by testing for equivalent ratios in a table or         Processes rule from tables, graphs, or words.
Relationships         solve real-world and      graphing on a coordinate plane and observing whether the graph is
                   mathematical problems        a straight line through the origin.

                                                                                                                          Mathematical SPI0706.1.3 Recognize whether information given in a
                                                                                                                           Processes table, graph, or formula suggests a directly proportional,
                                                                                                                                       linear, inversely proportional, or other nonlinear
                                                                                                                                       relationship.
                                                                                                                          Mathematical CU0706.1.4 Recognize quantities that are inversely
                                                                                                                           Processes proportional such as the relationship between the lengths of
                                                                                                                                       the base and the side of a rectanGLEwith fixed area.

                                                                                                                          Mathematical   CU0706.1.6 Develop meaning of intercept and rate of
                                                                                                                           Processes     change in contextual problems.
                                                                                                                           Number &      GLE0706.2.3 Develop an understanding of and apply
                                                                                                                           Operations    proportionality.



                                                                                                                      Page 136 of 180
                                                                                                                             Algebra     GLE0706.3.5 Understand and graph proportional
                                                                                                                                         relationships.
                                                                                                                             Algebra     GRADE 8: CU0806.3.8 Recognize a proportion as a special Common Core Standard is
                                                                                                                                         case of a linear equation and understand that the constant one grade below TN Check
                                                                                                                                         of proportionality is the slope, and the resulting graph is a for Understanding.
                                                                                                                                         line through the origin.

  Ratios &           Analyze proportional     RP.7.2.b Identify the constant of proportionality (unit rate) in tables,    Mathematical SPI0706.1.3 Recognize whether information given in a
Proportional    relationships and use them to graphs, equations, diagrams, and verbal descriptions of                      Processes table, graph, or formula suggests a directly proportional,
Relationships         solve real-world and    proportional relationships.                                                              linear, inversely proportional, or other nonlinear
                   mathematical problems                                                                                               relationship.
                                                                                                                           Number &    GLE0706.2.3 Develop an understanding of and apply
                                                                                                                           Operations  proportionality.
                                                                                                                            Algebra    SPI0706.3.5 Represent proportional relationships with
                                                                                                                                       equations, tables and graphs.
  Ratios &           Analyze proportional       RP.7.2.c Represent proportional relationships by equations. For           Mathematical CU0706.1.5 Understand that a linear function in which f0 =
Proportional    relationships and use them to   example, if total cost t is proportional to the number n of items          Processes 0 is called a directly proportional relationship.
Relationships         solve real-world and      purchased at a constant price p, the relationship between the total
                   mathematical problems        cost and the number of items can be expressed as t = pn.

                                                                                                                           Number &      SPI0706.2.7 Use ratios and proportions to solve problems.
                                                                                                                           Operations
                                                                                                                            Algebra    CU0706.3.7 Distinguish proportional relationships y/x = k,
                                                                                                                                       or y = kx from other relationships, including inverse
                                                                                                                                       proportionality xy = k, or y = k/x.
                                                                                                                            Algebra    CU0706.3.8 Understand slope as the ratio of vertical
                                                                                                                                       change to horizontal change.
  Ratios &           Analyze proportional     RP.7.2.d Explain what a point (x, y) on the graph of a proportional         Mathematical SPI0706.1.3 Recognize whether information given in a
Proportional    relationships and use them to relationship means in terms of the situation, with special attention         Processes table, graph, or formula suggests a directly proportional,
Relationships         solve real-world and    to the points (0, 0) and (1, r) where r is the unit rate.                                linear, inversely proportional, or other nonlinear
                   mathematical problems                                                                                               relationship.
                                                                                                                            Algebra    GLE0706.3.5 Understand and graph proportional
                                                                                                                                       relationships.
  Ratios &           Analyze proportional       RP.7.3 Analyze proportional relationships and use them to solve            Number & GLE0706.2.4 Use ratios, rates and percents to solve single-
Proportional    relationships and use them to   real-world and mathematical problems. Use proportional                     Operations and multi-step problems in various contexts.
Relationships         solve real-world and      relationships to solve multistep ratio and percent problems.
                   mathematical problems        Examples: simple interest, tax, markups and markdowns, gratuities
                                                and commissions, fees, percent increase and decrease, percent
                                                error.
                                                                                                                           Number &      SPI0706.2.6 Express the ratio between two quantities as a
                                                                                                                           Operations    percent, and a percent as a ratio or fraction.
                                                                                                                           Number &      CU0706.2.7 Write number sentences to solve contextual
                                                                                                                           Operations    problems involving ratio and percent.




                                                                                                                      Page 137 of 180
                                                                                                                    Number &   CU0706.2.80 Apply ratios, rates, proportions and percents
                                                                                                                    Operations such as discounts, interest, taxes, tips, distance/rate/time,
                                                                                                                               and percent increase or decrease.
                                                                                                                    Geometry & GLE0706.4.1 Understand the application of proportionality
                                                                                                                   Measurement with similar triangles.

                                                                                                                    Geometry & GLE0706.4.3 Understand and use scale factor to describe
                                                                                                                   Measurement the relationships between length, area, and volume.

                                                                                                                    Geometry & GLE0706.4.4 Understand and use ratios, derived
                                                                                                                   Measurement quantities, and indirect measurements.

                                                                                                                    Geometry & CU0706.4.5 Solve problems using ratio quantities: velocity
                                                                                                                   Measurement measured in units such as miles per hour, density
                                                                                                                               measured in units such as kilograms per liter, pressure
                                                                                                                               measured in units such as pounds per square foot, and
                                                                                                                               population density measured in units such as persons per
                                                                                                                               square mile.
Number    Apply and extend previous         NS.7.1 Apply and extend previous understandings of operations            Number & GLE0706.2.1 Extend understandings of addition,
System   understandings of operations       with fractions to add, subtract, multiply, and divide rational          Operations subtraction, multiplication and division to integers.
         with fractions to add, subtract,   numbers. Apply and extend previous understandings of addition
          multiply, and divide rational     and subtraction to add and subtract rational numbers; represent
                     numbers                addition and subtraction on a horizontal or vertical number line
                                            diagram.

                                                                                                                    Number &      GLE0706.2.2 Understand and work with the properties of
                                                                                                                    Operations    and operations on the system of rational numbers.
                                                                                                                    Number &      GLE0706.2.5 Understand and work with squares, cubes,
                                                                                                                    Operations    square roots and cube roots.
                                                                                                                    Number &      CU0706.2.1 Understand that the set of rational numbers
                                                                                                                    Operations    includes any number that can be written as a ratio of two
                                                                                                                                  integers in which the denominator is not zero.
                                                                                                                    Number &      CU0706.2.2 Develop and analyze algorithms and compute
                                                                                                                    Operations    efficiently with integers and rational numbers.
                                                                                                                    Number &      CU0706.2.3 Recognize that rational numbers satisfy the
                                                                                                                    Operations    commutative and associative laws of addition and
                                                                                                                                  multiplication and the distributive law.
                                                                                                                    Number &      CU0706.2.6 Use the number line to demonstrate addition
                                                                                                                    Operations    and subtraction with integers.
                                                                                                                    Number &      SPI0706.2.1 Simplify numerical expressions involving
                                                                                                                    Operations    rational numbers.
                                                                                                                    Number &      SPI0706.2.4 Determine the approximate location of
                                                                                                                    Operations    square/cube roots on a number line.




                                                                                                               Page 138 of 180
Number    Apply and extend previous       NS.7.7.1.a Describe situations in which opposite quantities                  Number &     CU0706.2.4 Understand that a and -a are additive inverses
System   understandings of operations combine to make 0. For example, a hydrogen atom has 0 charge                     Operations   and are located the same distance from zero on the
         with fractions to add, subtract, because its two constituents are oppositely charged.                                      number line; relate distance from zero to absolute value.
          multiply, and divide rational
                     numbers                                                                                           Number &     CU0706.2.5 Understand that --a = a for any number a.
                                                                                                                       Operations
Number    Apply and extend previous         NS.7.1.b Understand p + q as the number located a distance |q|             Number &     CU0706.2.4 Understand that a and -a are additive inverses
System   understandings of operations       from p, in the positive or negative direction depending on whether q       Operations   and are located the same distance from zero on the
         with fractions to add, subtract,   is positive or negative. Show that a number and its opposite have a                     number line; relate distance from zero to absolute value.
          multiply, and divide rational     sum of 0 (are additive inverses). Interpret sums of rational numbers
                     numbers                by describing real-world contexts.
                                                                                                                       Number &     CU0706.2.5 Understand that --a = a for any number a.
                                                                                                                       Operations
Number    Apply and extend previous         NS.7.1.c Understand subtraction of rational numbers as adding the          Number &     CU0706.2.6 Use the number line to demonstrate addition
System   understandings of operations       additive inverse, p – q = p + (–q). Show that the distance between         Operations   and subtraction with integers.
         with fractions to add, subtract,   two rational numbers on the number line is the absolute value of
          multiply, and divide rational     their difference, and apply this principle in real-world contexts.
                     numbers
Number    Apply and extend previous         NS.7.1.d Apply properties of operations as strategies to add and           Number &     GLE0706.2.2 Understand and work with the properties of
System   understandings of operations       su.btract rational numbers.                                                Operations   and operations on the system of rational numbers.
         with fractions to add, subtract,
          multiply, and divide rational
Number               numbers
          Apply and extend previous         NS.7.2 Apply and extend previous understandings of operations              Number &     GLE0706.2.1 Extend understandings of addition,
System   understandings of operations       with fractions to add, subtract, multiply, and divide rational             Operations   subtraction, multiplication and division to integers.
         with fractions to add, subtract,   numbers. Apply and extend previous understandings of
          multiply, and divide rational     multiplication and division and of fractions to multiply and divide
                     numbers                rational numbers.
                                                                                                                       Number &     SPI0706.2.1 Simplify numerical expressions involving
                                                                                                                       Operations   rational numbers.
Number    Apply and extend previous         NS.7.2.a Understand that multiplication is extended from fractions         Number &     GLE0706.2.2 Understand and work with the properties of
System   understandings of operations       to rational numbers by requiring that operations continue to satisfy       Operations   and operations on the system of rational numbers.
         with fractions to add, subtract,   the properties of operations, particularly the distributive property,
          multiply, and divide rational     leading to products such as (–1)(–1) = 1 and the rules for
                     numbers                multiplying signed numbers. Interpret products of rational numbers
                                            by describing real-world contexts.

Number    Apply and extend previous         NS.7.2.b Understand that integers can be divided, provided that the        Number &     SPI0706.2.3 Use rational numbers and roots of perfect
System   understandings of operations       divisor is not zero, and every quotient of integers (with non-zero         Operations   squares/cubes to solve contextual problems.
         with fractions to add, subtract,   divisor) is a rational number. If p and q are integers then –(p/q) =
          multiply, and divide rational     (–p)/q = p/(–q). Interpret quotients of rational numbers by
                     numbers                describing real-world contexts.




                                                                                                                  Page 139 of 180
                                                                                                                             Number &     GRADE 5: CU0506.2.8 Understand that division by zero is     Common Core Standard is
                                                                                                                             Operations   undefined.                                                  two grades above TN Check
                                                                                                                                                                                                      for Understanding.
   Number         Apply and extend previous       NS.7.2.c Apply properties of operations as strategies to multiply          Number &     GLE0706.2.1 Extend understandings of addition,
   System        understandings of operations and divide rational numbers.                                                   Operations   subtraction, multiplication and division to integers.
                 with fractions to add, subtract,
                  multiply, and divide rational
                             numbers
                                                                                                                             Number &     GLE0706.2.2 Understand and work with the properties of
                                                                                                                             Operations   and operations on the system of rational numbers.
                                                                                                                             Number &     SPI0706.2.5 Solve contextual problems that involve
                                                                                                                             Operations   operations with integers.
   Number         Apply and extend previous       NS.7.2.d Convert a rational number to a decimal using long                 Number &     GLE0706.2.1 Extend understandings of addition,
   System        understandings of operations division; know that the decimal form of a rational number                      Operations   subtraction, multiplication and division to integers.
                 with fractions to add, subtract, terminates in 0s or eventually repeats.
                  multiply, and divide rational
                             numbers

                                                                                                                             Number &     GRADE 6: GLE0606.2.4 Understand and convert between         *** Common Core Standard is
                                                                                                                             Operations   fraction, decimal, and percent forms of rational numbers.   one grade above TN GLE.

   Number         Apply and extend previous         NS.7.3 Apply and extend previous understandings of operations            Number &     SPI0706.2.3 Use rational numbers and roots of perfect
   System        understandings of operations       with fractions to add, subtract, multiply, and divide rational           Operations   squares/cubes to solve contextual problems.
                 with fractions to add, subtract,   numbers. Solve real-world and mathematical problems involving
                  multiply, and divide rational     the four operations with rational numbers. (Computations with
                             numbers                rational numbers extend the rules for manipulating fractions to
                                                    complex fractions.)
                                                                                                                             Number &     SPI0706.2.5 Solve contextual problems that involve
                                                                                                                             Operations   operations with integers.
Expressions & Use properties of operations to EE.7.1 Use properties of operations to generate equivalent                      Algebra     SPI0706.3.1 Evaluate algebraic expressions involving
  Equations        generate equivalent        expressions. Apply properties of operations as strategies to add,                           rational values for coefficients and/or variables.
                      expressions             subtract, factor, and expand linear expressions with rational
                                              coefficients.
                                                                                                                               Algebra    CU0706.3.2 Represent and analyze mathematical
                                                                                                                                          situations using algebraic symbols.
                                                                                                                               Algebra    CU0706.3.1 Perform basic operations on linear expressions
                                                                                                                                          including grouping, order of operations, exponents,
                                                                                                                                          simplifying and expanding.
Expressions & Use properties of operations to       EE.7.2 Use properties of operations to generate equivalent                 Algebra    SPI0706.3.7 Translate between verbal and symbolic
  Equations        generate equivalent              expressions. Understand that rewriting an expression in different                     representations of real-world phenomena involving linear
                  expressions algebraic             forms in a problem context can shed light on the problem and how                      equations.
               expressions and equations            the quantities in it are related. For example, a + 0.05a = 1.05a
                                                    means that “increase by 5%” is the same as “multiply by 1.05.”




                                                                                                                        Page 140 of 180
                                                                                                                          Algebra    CU0706.3.2 Represent and analyze mathematical
                                                                                                                                     situations using algebraic symbols.
                                                                                                                          Algebra    CU0706.3.11 Relate the features of a linear equation to a
                                                                                                                                     table and/or graph of the equation.
                                                                                                                          Algebra    CU0706.3.12 Use linear equations to solve problems and
                                                                                                                                     interpret the meaning of slope, m, and the y-intercept, b, in
                                                                                                                                     fx= mx + b in terms of the context.
Expressions & Use properties of operations to   EE.7.3 Solve real-life and mathematical problems using numerical        Mathematical GLE0706.1.2 Apply and adapt a variety of appropriate
  Equations        generate equivalent          and algebraic expressions and equations. Solve multi-step real-life      Processes strategies to problem solving, including estimation, and
                  expressions algebraic         and mathematical problems posed with positive and negative                           reasonableness of the solution.
               expressions and equations        rational numbers in any form (whole numbers, fractions, and
                                                decimals), using tools strategically. Apply properties of operations
                                                as strategies to calculate with numbers in any form; convert
                                                between forms as appropriate; and assess the reasonableness of
                                                answers using mental computation and estimation strategies. For
                                                example: If a woman making $25 an hour gets a 10% raise, she will
                                                make an additional 1/10 of her salary an hour, or $2.50, for a new
                                                salary of $250. If you want to place a towel bar 9 3/4 inches long in
                                                the center of a door that is 27 1/2 inches wide, you will need to
                                                place the bar about 9 inches from each edge; this estimate can be
                                                used as a check on the exact computation.



                                                                                                                        Mathematical GLE0706.1.7 Recognize the historical development of
                                                                                                                         Processes mathematics, mathematics in context, and the connections
                                                                                                                                     between mathematics and the real world.
                                                                                                                        Mathematical GLE0706.1.8 Use technologies/manipulatives appropriately
                                                                                                                         Processes to develop understanding of mathematical algorithms, to
                                                                                                                                     facilitate problem solving, and to create accurate and
                                                                                                                                     reliable models of mathematical concepts.




                                                                                                                          Algebra      GLE0706.3.2 Understand and compare various
                                                                                                                                       representations of relations and functions.


                                                                                                                          Algebra    GLE0706.3.7 Use mathematical models involving linear
                                                                                                                                     equations to analyze real-world phenomena.
                                                                                                                        Mathematical CU0706.1.2 Recognize round-off error and the inaccuracies
                                                                                                                         Processes it introduces.
                                                                                                                        Mathematical CU0706.1.3 Check answers both by estimation and by
                                                                                                                         Processes appropriate independent calculations, using calculators or
                                                                                                                                     computers judiciously.


                                                                                                                   Page 141 of 180
                                                                                                                         Mathematical   CU0706.1.10 Model algebraic equations with
                                                                                                                          Processes     manipulatives, technology, and pencil and paper.
                                                                                                                         Mathematical   CU0706.1.11 Translate from calculator notation to
                                                                                                                          Processes     scientific/standard notation.
                                                                                                                           Algebra      CU0706.3.1 Perform basic operations on linear expressions
                                                                                                                                        including grouping, order of operations, exponents,
                                                                                                                                        simplifying and expanding.
Expressions & Use properties of operations to   EE.7.4 Solve real-life and mathematical problems using numerical           Algebra      GLE0706.3.1 Recognize and generate equivalent forms for
  Equations        generate equivalent          and algebraic expressions and equations. Use variables to                               simple algebraic expressions.
                  expressions algebraic         represent quantities in a real-world or mathematical problem, and
               expressions and equations        construct simple equations and inequalities to solve problems by
                                                reasoning about the quantities.
                                                                                                                           Algebra      GLE0706.3.6 Conceptualize the meanings of slope using
                                                                                                                                        various interpretations, representations, and contexts.

                                                                                                                           Algebra      GLE0706.3.7 Use mathematical models involving linear
                                                                                                                                        equations to analyze real-world phenomena.
                                                                                                                           Algebra      GLE0706.3.8 Use a variety of strategies to efficiently solve
                                                                                                                                        linear equations and inequalities.
                                                                                                                           Algebra      CU0706.3.4 Make tables of inputs x and outputs fx for a
                                                                                                                                        variety of rules that include rational numbers including
                                                                                                                                        negative numbers as inputs.
                                                                                                                           Algebra      CU0706.3.12 Use linear equations to solve problems and
                                                                                                                                        interpret the meaning of slope, m, and the y-intercept, b, in
                                                                                                                                        fx= mx + b in terms of the context.
Expressions & Use properties of operations to   EE.7.4.a Solve word problems leading to equations of the form px +         Algebra      CU0706.3.2 Represent and analyze mathematical
  Equations        generate equivalent          q = r and p(x + q) = r, where p, q, and r are specific rational                         situations using algebraic symbols.
                  expressions algebraic         numbers. Solve equations of these forms fluently. Compare an
               expressions and equations        algebraic solution to an arithmetic solution, identifying the
                                                sequence of the operations used in each approach. For example,
                                                The perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its
                                                width?
                                                                                                                           Algebra      CU0706.3.3 Identify a function from a written description,
                                                                                                                                        table, graph, rule, set of ordered pairs, and/or mapping.
                                                                                                                           Algebra      CU0706.3.6 Understand that the graph of a linear function f
                                                                                                                                        is the set of points on a line representing the ordered pairs
                                                                                                                                        x, fx.
                                                                                                                           Algebra      CU0706.3.9 Identify a function exhibiting a constant rate of
                                                                                                                                        change as a linear function and identify the slope as a unit
                                                                                                                                        rate.
                                                                                                                           Algebra      SPI0706.3.6 Solve linear equations with rational
                                                                                                                                        coefficients symbolically or graphically.




                                                                                                                    Page 142 of 180
                                                                                                                            Algebra      SPI0706.3.7 Translate between verbal and symbolic
                                                                                                                                         representations of real-world phenomena involving linear
                                                                                                                                         equations.
                                                                                                                            Algebra      SPI0706.3.8 Solve contextual problems involving two-step
                                                                                                                                         linear equations.
Expressions & Use properties of operations to   EE.7.4.b Solve word problems leading to inequalities of the form px         Algebra      CU0706.3.14 Understand that when solving linear
  Equations        generate equivalent          + q > r or px + q < r, where p, q, and r are specific rational numbers.                  inequalities, multiplication or division by a negative reverses
                  expressions algebraic         Graph the solution set of the inequality and interpret it in the                         the inequality symbol.
               expressions and equations        context of the problem. For example, As a salesperson, you are
                                                paid $50 per week plus $3 per sale. This week you want your pay
                                                to be at least $100. Write an inequality for the number of sales you
                                                need to make, and describe the solutions.


                                                                                                                            Algebra    SPI0706.3.9 Solve linear inequalities in one variable with
                                                                                                                                       rational coefficients symbolically or graphically.
  Geometry      Draw, construct, and describe   G.7.1 Draw, construct, and describe geometrical figures and               Mathematical GLE0706.1.3 Develop independent reasoning to
                   geometrical figures and      describe the relationships between them. Solve problems involving          Processes communicate mathematical ideas and derive algorithms
                  describe the relationships    scale drawings of geometric figures, including computing actual                        and/or formulas.
                       between them             lengths and areas from a scale drawing and reproducing a scale
                                                drawing at a different scale.
                                                                                                                          Mathematical GLE0706.1.5 Use mathematical ideas and processes in
                                                                                                                           Processes different settings to formulate patterns, analyze graphs, set
                                                                                                                                       up and solve problems and interpret solutions.
                                                                                                                          Mathematical GLE0706.1.7 Recognize the historical development of
                                                                                                                           Processes mathematics, mathematics in context, and the connections
                                                                                                                                       between mathematics and the real world.
                                                                                                                                       GLE0706.4.3 Understand and use scale factor to describe
                                                                                                                                       the relationships between length, area, and volume.

                                                                                                                          Mathematical SPI0706.1.4 Use scales to read maps.
                                                                                                                           Processes
                                                                                                                           Geometry & SPI0706.4.3 Apply scale factor to solve problems involving
                                                                                                                          Measurement area and volume.

                                                                                                                          Mathematical   CU0706.1.7 Explain and demonstrate how scale in maps
                                                                                                                           Processes     and drawings shows relative size and distance.
                                                                                                                          Mathematical   CU0706.1.8 Recognize the applications of scale factor by
                                                                                                                           Processes     exploring blueprints, shadow measuring, and scale models.

                                                                                                                          Mathematical CU0706.1.12 Use dynamic geometry software to explore
                                                                                                                           Processes scale factor and similarity.




                                                                                                                     Page 143 of 180
                                                                                                                      Geometry & CU0706.4.3 Understand that if a scale factor describes how
                                                                                                                     Measurement corresponding lengths in two similar objects are related,
                                                                                                                                 then the square of the scale factor describes how
                                                                                                                                 corresponding areas are related, and the cube of the scale
                                                                                                                                 factor describes how corresponding volumes are related.

Geometry   Draw, construct, and describe   G.7.2 Draw, construct, and describe geometrical figures and                Geometry & GRADE 6: CU0606.4.2 Relate the sum of the angles in a          Common Core Standard is
              geometrical figures and      describe the relationships between them. Draw (freehand, with             Measurement trianGLEto the sum of the angles in polygons.                  one grade above TN Check
             describe the relationships    ruler and protractor, and with technology) geometric shapes with                                                                                     for Understanding.
                  between them             given conditions. Focus on constructing triangles from three
                                           measures of angles or sides, noticing when the conditions
                                           determine a unique triangle, more than one triangle, or no triangle.


                                                                                                                      Geometry & GRADE 6: CU0606.4.3 Verify the basic properties of             Common Core Standard is
                                                                                                                     Measurement triangles and quadrilaterals using a protractor and ruler.     one grade above TN Check
                                                                                                                                                                                                for Understanding.
                                                                                                                      Geometry & GRADE 6: CU0606.4.4 Classify triangles by side lengths         Common Core Standard is
                                                                                                                     Measurement scalene, isosceles, and equilateral and anGLEmeasure           one grade above TN Check
                                                                                                                                 acute, right, obtuse, isosceles and equiangular.               for Understanding.

                                                                                                                      Geometry & GRADE 6: CU0606.4.5 Model and use the                          Common Core Standard is
                                                                                                                     Measurement TrianGLEInequality Theorem.                                    one grade above TN Check
                                                                                                                                                                                                for Understanding.
                                                                                                                      Geometry & GLE0706.4.1 Understand the application of proportionality
                                                                                                                     Measurement with similar triangles.

                                                                                                                      Geometry & GLE0706.4.3 Understand and use scale factor to describe
                                                                                                                     Measurement the relationships between length, area, and volume.

                                                                                                                      Geometry & CU0706.4.1 Solve problems involving indirect
                                                                                                                     Measurement measurement such as finding the height of a building by
                                                                                                                                 comparing its shadow with the height and shadow of a
                                                                                                                                 known object.
Geometry   Draw, construct, and describe   G.7.3 Draw, construct, and describe geometrical figures and                Geometry & GRADE 8: GLE0806.4.5 Use visualization to describe or          *** Common Core Standard is
              geometrical figures and      describe the relationships between them. Describe the two-                Measurement identify intersections, cross-sections, and various views of   one grade below TN GLE.
             describe the relationships    dimensional figures that result from slicing three-dimensional                        geometric figures.
                  between them             figures, as in plane sections of right rectangular prisms and right
                                           rectangular pyramids.

                                                                                                                      Geometry & GRADE 8: CU0806.4.7 Visualize or describe the cross-           Common Core Standard is
                                                                                                                     Measurement section resulting from the intersection of a plane with a 3-   one grade below TN Check
                                                                                                                                 dimensional figure.                                            for Understanding.




                                                                                                                 Page 144 of 180
                                                                                                                     Geometry & GRADE 8: CU0806.4.8 Build, draw, and work with 2- and 3-       Common Core Standard is
                                                                                                                    Measurement dimensional figures by means of orthogonal views,              one grade below TN Check
                                                                                                                                projective views, and/or nets.                                 for Understanding.
Geometry          Solve real-life and       G.7.4 Solve real-life and mathematical problems involving angle          Geometry & GRADE 6: GLE0606.4.3 Develop and use formulas to               Common Core Standard is
               mathematical problems        measure, area, surface area, and volume. Know the formulas for          Measurement determine the circumference and area of circles, and the       one grade above TN Check
           involving angle measure, area,   the area and circumference of a circle and use them to solve                        area of trapezoids, and develop strategies to find the area    for Understanding.
              surface area, and volume      problems; give an informal derivation of the relationship between                   of composite shapes.
                                            the circumference and area of a circle.


                                                                                                                     Geometry & GRADE 6: SPI0606.4.4 Calculate with circumferences and Common Core Standard is
                                                                                                                    Measurement areas of circles.                                      one grade above TN SPI.

                                                                                                                     Geometry & GRADE 6: CU0606.4.11 Relate the circumference of a             Common Core Standard is
                                                                                                                    Measurement circle with the perimeter of a polygonal figure.               one grade above TN Check
                                                                                                                                                                                               for Understanding.
                                                                                                                     Geometry & GRADE 6: CU0606.4.12 Derive the meaning of Pi using            Common Core Standard is
                                                                                                                    Measurement concrete models and/or appropriate technology.                 one grade above TN Check
                                                                                                                                                                                               for Understanding.
                                                                                                                     Geometry & GRADE 6: CU0606.4.13 Understand the relationships              Common Core Standard is
                                                                                                                    Measurement among the radius, diameter, circumference and area of a        one grade above TN Check
                                                                                                                                circle, and that the ratio of the circumference to the         for Understanding.
                                                                                                                                diameter is the same as the ratio of the area to the square
                                                                                                                                of the radius, and that this ratio is called Pi.
Geometry          Solve real-life and       G.7.5 Solve real-life and mathematical problems involving angle          Geometry & GRADE 8: GLE0806.4.2 Understand the relationships              *** Common Core Standard is
               mathematical problems        measure, area, surface area, and volume. Use facts about                Measurement among the angles formed by parallel lines cut by               one grade below TN GLE.
           involving angle measure, area,   supplementary, complementary, vertical, and adjacent angles in a                    transversals.
              surface area, and volume      multi-step problem to write and solve simple equations for an
                                            unknown angle in a figure.
                                                                                                                     Geometry & GRADE 8: CU0806.4.5 Analyze the congruent and                  Common Core Standard is
                                                                                                                    Measurement supplementary relationships of angles formed by parallel       one grade below TN Check
                                                                                                                                lines and transversals such as alternate interior, alternate   for Understanding.
                                                                                                                                exterior, corresponding, and adjacent.
                                                                                                                     Geometry & GRADE 8: SPI0806.4.3 Find measures of the angles               Common Core Standard is
                                                                                                                    Measurement formed by parallel lines cut by a transversal.                 one grade below TN SPI.

Geometry          Solve real-life and       G.7.6 Solve real-life and mathematical problems involving angle          Geometry & GRADE 6: GLE0606.4.4 Develop and use formulas for              *** Common Core Standard is
               mathematical problems        measure, area, surface area, and volume. Solve real-world and           Measurement surface area and volume of 3-dimensional figures.              one grade above TN GLE.
           involving angle measure, area,   mathematical problems involving area, volume and surface area of
              surface area, and volume      two- and three-dimensional objects composed of triangles,
                                            quadrilaterals, polygons, cubes, and right prisms.




                                                                                                                Page 145 of 180
                                                                                                                 Geometry & GRADE 6: CU0606.4.16 Solve contextual problems                Common Core Standard is
                                                                                                                Measurement involving area and circumference of circles, surface areas    one grade above TN Check
                                                                                                                            and volumes of prisms, pyramids, cones, and cylinders.        for Understanding.

                                                                                                                 Geometry & GRADE 6: CU0606.4.17 Use manipulatives to discover the        Common Core Standard is
                                                                                                                Measurement volume of a pyramid is one-third the volume of the related    one grade above TN Check
                                                                                                                            prism the heights and base areas are equal.                   for Understanding.
                                                                                                                 Geometry & GRADE 6: CU0606.4.18 Use manipulatives to discover the        Common Core Standard is
                                                                                                                Measurement volume of a cone is one-third the volume of the related       one grade above TN Check
                                                                                                                            cylinder the heights and base areas are equal.                for Understanding.
                                                                                                                 Geometry & GRADE 6: SPI0606.4.5 Determine the surface area and           Common Core Standard is
                                                                                                                Measurement volume of prisms, pyramids and cylinders.                     one grade above TN SPI.

                                                                                                                 Geometry & GRADE 6: SPI0606.4.6 Given the volume of a                    Common Core Standard is
                                                                                                                Measurement cone/pyramid, find the volume of the related cylinder/prism   one grade above TN SPI.
                                                                                                                               or vice versa.
Statistics &   Use random sampling to draw SP.7.1 Use random sampling to draw inferences about a                    Data,      GRADE 6: GLE0606.5.2 Interpret representations of data     *** Common Core Standard is
Probability    inferences about a population population. Understand that statistics can be used to gain         Probability, & from surveys and polls, and describe sample bias and how   one grade above TN GLE.
                                             information about a population by examining a sample of the          Statistics   data representations can be misleading.
                                             population; generalizations about a population from a sample are
                                             valid only if the sample is representative of that population.
                                             Understand that random sampling tends to produce representative
                                             samples and support valid inferences.


                                                                                                                    Data,      GRADE 6: CU0606.5.10 Distinguish between a random and Common Core Standard is
                                                                                                                Probability, & nonrandom sample.                                         one grade above TN Check
                                                                                                                  Statistics                                                             for Understanding.
                                                                                                                    Data,      GLE0706.5.3 Formulate questions and design studies to
                                                                                                                Probability, & collect data about a characteristic shared by two
                                                                                                                  Statistics   populations, or different characteristics within one
                                                                                                                               population.
                                                                                                                    Data,      CU0706.5.3 Predict and compare the characteristics of two
                                                                                                                Probability, & populations based on the analysis of sample data.
                                                                                                                  Statistics
                                                                                                                    Data,      CU0706.5.5 Evaluate the design of an experiment.
                                                                                                                Probability, &
                                                                                                                  Statistics




                                                                                                            Page 146 of 180
Statistics &   Use random sampling to draw SP.7.2 Use random sampling to draw inferences about a                          Data,      GRADE 6: GLE0606.5.2 Interpret representations of data   *** Common Core Standard is
Probability    inferences about a population population. Use data from a random sample to draw inferences             Probability, & from surveys and polls, and describe sample bias and how one grade above TN GLE.
                                             about a population with an unknown characteristic of interest.             Statistics   data representations can be misleading.
                                             Generate multiple samples (or simulated samples) of the same size
                                             to gauge the variation in estimates or predictions. For example,
                                             estimate the mean word length in a book by randomly sampling
                                             words from the book; predict the winner of a school election based
                                             on randomly sampled survey data. Gauge how far off the estimate
                                             or prediction might be.


                                                                                                                          Data,        GRADE 6: CU0606.5.10 Distinguish between a random and Common Core Standard is
                                                                                                                      Probability, &   nonrandom sample.                                      one grade above TN Check
                                                                                                                        Statistics                                                            for Understanding.
                                                                                                                          Data,        GRADE 6: SPI0606.5.3 Determine whether or not a sample Common Core Standard is
                                                                                                                      Probability, &   is biased.                                             one grade above TN SPI.
                                                                                                                        Statistics
Statistics &    Draw informal comparative    SP.7.3 Draw informal comparative inferences about two                        Data,        GRADE 6: CU0606.5.12 Predict the characteristics of a       Common Core Standard is
Probability        inferences about two      populations. Informally assess the degree of visual overlap of two       Probability, &   population based on the analysis of sample data.            one grade above TN Check
                        populations          numerical data distributions with similar variabilities, measuring the     Statistics                                                                 for Understanding.
                                             difference between the centers by expressing it as a multiple of a
                                             measure of variability. For example, the mean height of players on
                                             the basketball team is 10 cm greater than the mean height of
                                             players on the soccer team, about twice the variability (mean
                                             absolute deviation) on either team; on a dot plot, the separation
                                             between the two distributions of heights is noticeable.

                                                                                                                          Data,        GLE0706.5.1 Collect, organize, and analyze both single-
                                                                                                                      Probability, &   and two-variable data.
                                                                                                                        Statistics
                                                                                                                          Data,        GLE0706.5.2 Select, create, and use appropriate graphical
                                                                                                                      Probability, &   representations of data.
                                                                                                                        Statistics
                                                                                                                          Data,      GLE0706.5.3 Formulate questions and design studies to
                                                                                                                      Probability, & collect data about a characteristic shared by two
                                                                                                                        Statistics   populations, or different characteristics within one
                                                                                                                                     population.
                                                                                                                          Data,      GLE0706.5.4 Use descriptive statistics to summarize and
                                                                                                                      Probability, & compare data.
                                                                                                                        Statistics




                                                                                                                  Page 147 of 180
Statistics &     Draw informal comparative      SP.7.4 Draw informal comparative inferences about two                      Data,      GLE0706.5.1 Collect, organize, and analyze both single-
Probability         inferences about two        populations. Use measures of center and measures of variability for    Probability, & and two-variable data.
                         populations            numerical data from random samples to draw informal comparative          Statistics
                                                inferences about two populations. For example, decide whether the
                                                words in a chapter of a seventh-grade science book are generally
                                                longer than the words in a chapter of a fourth-grade science book.

                                                                                                                           Data,        GLE0706.5.2 Select, create, and use appropriate graphical
                                                                                                                       Probability, &   representations of data.
                                                                                                                         Statistics
                                                                                                                           Data,      GLE0706.5.3 Formulate questions and design studies to
                                                                                                                       Probability, & collect data about a characteristic shared by two
                                                                                                                         Statistics   populations, or different characteristics within one
                                                                                                                                      population.
                                                                                                                           Data,      GLE0706.5.4 Use descriptive statistics to summarize and
                                                                                                                       Probability, & compare data.
                                                                                                                         Statistics
Statistics &    Investigate chance processes SP.7.5 Investigate chance processes and develop, use, and                     Data,      GLE0706.5.5 Understand and apply basic concepts of
Probability    and develop, use, and evaluate evaluate probability models. Understand that the probability of a        Probability, & probability.
                      probability models      chance event is a number between 0 and 1 that expresses the                Statistics
                                              likelihood of the event occurring. Larger numbers indicate greater
                                              likelihood. A probability near 0 indicates an unlikely event, a
                                              probability around 1/2 indicates an event that is neither unlikely nor
                                              likely, and a probability near 1 indicates a likely event.
                                                                                                                           Data,        GRADE 6: GLE0606.5.1 Understand the meaning of                *** Common Core Standard is
                                                                                                                       Probability, &   probability and how it is expressed.                          one grade above TN GLE.
                                                                                                                         Statistics
                                                                                                                           Data,        GRADE 6: CU0606.5.1 Understand that the probability of        Common Core Standard is
                                                                                                                       Probability, &   an event is a number between zero and one that expresses      one grade above TN Check
                                                                                                                         Statistics     the likelihood of its occurrence.                             for Understanding.
                                                                                                                           Data,        GRADE 6: CU0606.5.2 Identify the probability of an event      Common Core Standard is
                                                                                                                       Probability, &   as the ratio of the number of its actual occurrences to the   one grade above TN Check
                                                                                                                         Statistics     total number of its possible occurrences.                     for Understanding.

Statistics &    Investigate chance processes SP.7.6 Investigate chance processes and develop, use, and                     Data,      GRADE 6: GLE0606.5.2 Interpret representations of data   *** Common Core Standard is
Probability    and develop, use, and evaluate evaluate probability models. Approximate the probability of a            Probability, & from surveys and polls, and describe sample bias and how one grade above TN GLE.
                      probability models      chance event by collecting data on the chance process that                 Statistics   data representations can be misleading.
                                              produces it and observing its long-run relative frequency, and
                                              predict the approximate relative frequency given the probability. For
                                              example, when rolling a number cube 600 times, predict that a 3 or
                                              6 would be rolled roughly 200 times, but probably not exactly 200
                                              times.




                                                                                                                   Page 148 of 180
                                                                                                                             Data,        GRADE 6: CU0606.5.5 Analyze a situation that involves     Common Core Standard is
                                                                                                                         Probability, &   probability of an independent event.                      one grade above TN Check
                                                                                                                           Statistics                                                               for Understanding.
                                                                                                                             Data,      GRADE 6: CU0606.5.6 Estimate the probability of simple      Common Core Standard is
                                                                                                                         Probability, & and compound events through experimentation or              one grade above TN Check
                                                                                                                           Statistics   simulation.                                                 for Understanding.
                                                                                                                         Mathematical   GLE0706.1.4 Move flexibly between concrete and abstract
                                                                                                                          Processes     representations of mathematical ideas in order to solve
                                                                                                                                        problems, model mathematical ideas, and communicate
                                                                                                                                        solution strategies.
Statistics &    Investigate chance processes SP.7.7 Investigate chance processes and develop, use, and                       Data,      GRADE 6: SPI0606.5.1 Determine the theoretical              Common Core Standard is
Probability    and develop, use, and evaluate evaluate probability models. Develop a probability model and use it        Probability, & probability of simple and compound events in familiar       one grade above TN SPI.
                      probability models      to find probabilities of events. Compare probabilities from a model          Statistics   contexts.
                                              to observed frequencies; if the agreement is not good, explain
                                              possible sources of the discrepancy.

                                                                                                                         Mathematical GLE0706.1.4 Move flexibly between concrete and abstract
                                                                                                                          Processes representations of mathematical ideas in order to solve
                                                                                                                                      problems, model mathematical ideas, and communicate
                                                                                                                                      solution strategies.
Statistics &    Investigate chance processes SP.7.7.a Develop a uniform probability model by assigning equal             Mathematical GLE0706.1.3 Develop independent reasoning to
Probability    and develop, use, and evaluate probability to all outcomes, and use the model to determine                 Processes communicate mathematical ideas and derive algorithms
                      probability models      probabilities of events. For example, if a student is selected at                       and/or formulas.
                                              random from a class, find the probability that Jane will be selected
                                              and the probability that a girl will be selected.
                                                                                                                             Data,        CU0706.5.7 Use a tree diagram or organized list to
                                                                                                                         Probability, &   determine all possible outcomes of a simple probability
                                                                                                                           Statistics     experiment.
Statistics &    Investigate chance processes SP.7.7.b Develop a probability model (which may not be uniform)                 Data,        SPI0706.5.4 Use theoretical probability to make
Probability    and develop, use, and evaluate by observing frequencies in data generated from a chance process.          Probability, &   predictions.
                      probability models      For example, find the approximate probability that a spinning penny          Statistics
                                              will land heads up or that a tossed paper cup will land open-end
                                              down. Do the outcomes for the spinning penny appear to be equally
                                              likely based on the observed frequencies?


                                                                                                                             Data,        GRADE 8: CU0806.5.1 Solve simple problems involving       Common Core Standard is
                                                                                                                         Probability, &   probability and relative frequency.                       one grade below TN Check
                                                                                                                           Statistics                                                               for Understanding.
Statistics &    Investigate chance processes SP.8 Investigate chance processes and develop, use, and evaluate                Data,        GRADE 8: GLE0806.5.1 Explore probabilities for            *** Common Core Standard is
Probability    and develop, use, and evaluate probability models. Find probabilities of compound events using            Probability, &   compound, independent and/or dependent events.            one grade below TN GLE.
                      probability models      organized lists, tables, tree diagrams, and simulation.                      Statistics




                                                                                                                     Page 149 of 180
                                                                                                                            Data,        GRADE 8: SPI0806.5.1 Calculate probabilities of events for Common Core Standard is
                                                                                                                        Probability, &   simple experiments with equally probable outcomes.         one grade below TN SPI.
                                                                                                                          Statistics
Statistics &    Investigate chance processes SP.7.8.a Understand that, just as with simple events, the probability          Data,        GLE0706.5.5 Understand and apply basic concepts of
Probability    and develop, use, and evaluate of a compound event is the fraction of outcomes in the sample             Probability, &   probability.
                      probability models      space for which the compound event occurs.                                  Statistics
                                                                                                                            Data,        GRADE 8: CU0806.5.3 Recognize common                           Common Core Standard is
                                                                                                                        Probability, &   misconceptions associated with dependent and                   one grade below TN Check
                                                                                                                          Statistics     independent events.                                            for Understanding.
                                                                                                                            Data,        GRADE 8: SPI0806.5.1 Calculate probabilities of events for     Common Core Standard is
                                                                                                                        Probability, &   simple experiments with equally probable outcomes.             one grade below TN SPI.
                                                                                                                          Statistics
Statistics &    Investigate chance processes SP.7.8.b Represent sample spaces for compound events using                     Data,        GRADE 6: CU0606.5.9 Determine the sample space for a           Common Core Standard is
Probability    and develop, use, and evaluate methods such as organized lists, tables and tree diagrams. For an         Probability, &   given situation.                                               one grade above TN Check
                      probability models      event described in everyday language (e.g., “rolling double sixes”),        Statistics                                                                    for Understanding.
                                              identify the outcomes in the sample space which compose the
                                              event.

Statistics &    Investigate chance processes SP.7.8.c Design and use a simulation to generate frequencies for               Data,      GRADE 8: CU0806.5.1 Solve simple problems involving              *** Common Core Standard is
Probability    and develop, use, and evaluate compound events. For example, use random digits as a simulation           Probability, & probability and relative frequency.                              one grade below TN GLE.
                      probability models      tool to approximate the answer to the question: If 40% of donors            Statistics
                                              have type A blood, what is the probability that it will take at least 4
                                              donors to find one with type A blood?
                                                                                                                            Data,        GRADE 8: CU0806.5.2 Compare probabilities of two or            Common Core Standard is
                                                                                                                        Probability, &   more events and recognize when certain events are equally      one grade below TN Check
                                                                                                                          Statistics     likely.                                                        for Understanding.
                                                                                                                            Data,        GRADE 8: SPI0806.5.2 Use a variety of methods to               Common Core Standard is
                                                                                                                        Probability, &   compute probabilities for compound events e.g.,                one grade below TN SPI.
                                                                                                                          Statistics     multiplication, organized lists, tree diagrams, area models.




                                                                                                                    Page 150 of 180
                                                                                                                                                                                       Introduction
Mathematic




                                                                                                                                                                                                      Taught




                                                                                                                                                                                                               Tested
s Common      Mathematics Common Core                                                                                   Correlation by Learning Expections with Aligned Checks
                                                      Mathematics Common Core Standard                    TN Standard
   Core                Cluster                                                                                            for Understanding and State Performance Indicators
  Domain

  Number     Know that there are numbers     NS.8.1 Know that numbers that are not rational are called    Number &      GLE0806.2.1 Extend understanding of the real number
  System     that are not rational, and      irrational. Understand informally that every number has a    Operations    system to include irrational numbers.
             approximate them by rational    decimal expansion; for rational numbers show that the
             numbers.                        decimal expansion repeats eventually, and convert a
                                             decimal expansion which repeats eventually into a rational
                                             number.
                                                                                                          Number &      GRADE 6: CU0606.2.9 Recognize that the decimal form of
                                                                                                          Operations    a rational number either terminates or repeats.
  Number     Know that there are numbers     NS.8.2 Use rational approximations of irrational numbers     Number &      GLE0806.2.1 Extend understanding of the real number
  System     that are not rational, and      to compare the size of irrational numbers, locate them       Operations    system to include irrational numbers.
             approximate them by rational    approximately on a number line diagram, and estimate the
             numbers.                        value of expressions (e.g., π^2). For example, by
                                             truncating the decimal expansion of √2 (square root of 2),
                                             show that √2 is between 1 and 2, then between 1.4 and
                                             1.5, and explain how to continue on to get better
                                             approximations.
                                                                                                          Number &      GRADE 7: CU0706.2.10 Recognize that when a whole
                                                                                                          Operations    number is not a perfect square, then its square root is not
                                                                                                                        rational and cannot be written as the ratio of two integers.
                                                                                                          Number &      GRADE 7: CU0706.2.11 Estimate square/cube roots and
                                                                                                          Operations    use calculators to find approximations.
                                                                                                          Number &      GRADE 7: SPI0706.2.4 Determine the approximate location
                                                                                                          Operations    of square/cube roots on a number line.

                                                                                                          Number &      SPI0806.2.1 Order and compare rational and irrational
                                                                                                          Operations    numbers and locate on the number line.
Expressions Work with radicals and integer EE.8.1 Know and apply the properties of integer exponents      Number &      GRADE 7: GLE0706.2.3 Develop an understanding of and
& Equations exponents.                     to generate equivalent numerical expressions. For              Operations    apply proportionality.
                                           example, 3^2 × 3^(–5) = 3^(–3) = 1/(3^3) = 1/27.

                                                                                                          Number &      GLE0806.2.4 Understand and use the laws of exponents.
                                                                                                          Operations
                                                                                                          Number &      CU0806.2.1 Recognize and use exponential, scientific, and
                                                                                                          Operations    calculator notation.
                                                                                                          Number &      CU0806.2.6 Simplify expressions using the laws of
                                                                                                          Operations    exponents.
                                                                                                          Number &      GRADE 5: CU0506.2.10 Use exponential notation to
                                                                                                          Operations    represent repeated multiplication of whole numbers.
Expressions Work with radicals and integer EE.8.2 Use square root and cube root symbols to                Number &      GRADE 7: GLE0706.2.5 Understand and work with squares,
& Equations exponents.                     represent solutions to equations of the form x^2 = p and       Operations    cubes, square roots and cube roots.
                                           x^3 = p, where p is a positive rational number. Evaluate
                                           square roots of small perfect squares and cube roots of
                                           small perfect cubes. Know that √2 is irrational.
                                                                                                          Number &      GRADE 7: CU0706.2.9 Efficiently compare and order
                                                                                                          Operations    rational numbers and roots of perfect squares/cubes;
                                                                                                                        determine their approximate locations on a number line.




                                                                                                          Page 151 of 180
                                                                                                             Number &     GRADE 7: CU0706.2.12 Recognize √mn =√m √n and √m^2
                                                                                                             Operations   = m.
                                                                                                                          GRADE 7: SPI0706.2.3 Use rational numbers and roots of
                                                                                                                          perfect squares/cubes to solve contextual problems.

                                                                                                             Number &     CU0806.2.2 Square numbers and simplify square roots.
                                                                                                             Operations
Expressions Work with radicals and integer EE.8.3 Use numbers expressed in the form of a single              Number &     SPI0806.2.3 Use scientific notation to compute products
& Equations exponents.                     digit times an integer power of 10 to estimate very large or      Operations   and quotients.
                                           very small quantities, and to express how many times as
                                           much one is than the other. For example, estimate the
                                           population of the United States as 3 × 10^8 and the
                                           population of the world as 7 × 10^9, and determine that the
                                           world population is more than 20 times larger.


Expressions Work with radicals and integer EE.8.4. Perform operations with numbers expressed in              Number &     GLE0806.2.2 Solve problems involving exponents and
& Equations exponents.                     scientific notation, including problems where both decimal        Operations   scientific notation using technology appropriately.
                                           and scientific notation are used. Use scientific notation and
                                           choose units of appropriate size for measurements of very
                                           large or very small quantities (e.g., use millimeters per year
                                           for seafloor spreading). Interpret scientific notation that has
                                           been generated by technology.




                                                                                                             Number &     CU0806.2.7 Add, subtract, multiply, and divide numbers
                                                                                                             Operations   expressed scientific notation.
                                                                                                             Number &     SPI0806.2.4 Solve real-world problems requiring scientific
                                                                                                             Operations   notation.
                                                                                                             Number &     GRADE 7: GLE0706.2.7 Understand and use scientific
                                                                                                             Operations   notation.
                                                                                                             Number &     GRADE 7: CU0706.2.13 Use the meaning of negative
                                                                                                             Operations   exponents to represent small numbers; translate between
                                                                                                                          scientific and standard notation.
                                                                                                              Number & GRADE 7: CU0706.2.14 Express numbers in scientific
                                                                                                              Operations notation and recognize its importance in representing the
                                                                                                                          magnitude of a number.
Expressions Understand the connections         EE.8.5 Graph proportional relationships, interpreting the     Mathematical GLE0806.1.6 Read and interpret the language of
& Equations between proportional               unit rate as the slope of the graph. Compare two different     Processes mathematics and use written/oral communication to express
            relationships, lines, and linear   proportional relationships represented in different ways. For              mathematical ideas precisely.
            equations.                         example, compare a distance-time graph to a distance-time
                                               equation to determine which of two moving objects has
                                               greater speed.
                                                                                                             Geometry and GRADE 7: GLE0706.4.2 Apply proportionality to converting
                                                                                                             Measurement among different units of measurements to solve problems
                                                                                                                          involving rates such as motion at a constant speed.



                                                                                                              Algebra     GRADE 7: GLE0706.3.6 Conceptualize the meanings of
                                                                                                                          slope using various interpretations, representations, and
                                                                                                                          contexts.




                                                                                                             Page 152 of 180
                                                                                                             Mathematical GRADE 7: CU0706.1.4 Recognize quantities that are
                                                                                                              Processes inversely proportional such as the relationship between the
                                                                                                                          lengths of the base and the side of a rectanGLEwith fixed
                                                                                                                          area.
                                                                                                             Mathematical GRADE 7: SPI0706.1.3 Recognize whether information
                                                                                                              Processes given in a table, graph, or formula suggests a directly
                                                                                                                          proportional, linear, inversely proportional, or other nonlinear
                                                                                                                          relationship.
Expressions Understand the connections         EE.8.6 Use similar triangles to explain why the slope m is      Algebra    GRADE 7: CU0706.3.12 Use linear equations to solve
& Equations between proportional               the same between any two distinct points on a non-vertical                 problems and interpret the meaning of slope, m, and the y-
            relationships, lines, and linear   line in the coordinate plane; derive the equation y =mx for a              intercept, b, in fx= mx + b in terms of the context.
            equations.                         line through the origin and the equation y = mx + b for a
                                               line intercepting the vertical axis at b.


                                                                                                                  Algebra     GRADE 7: CU0706.3.13 Given a graph that exhibits the
                                                                                                                              intersection of a line and the y-axis, write a linear function in
                                                                                                                              slope-intercept form: y = mx + b.




                                                                                                               Geometry and GRADE 7: CU0706.4.2 Use similar triangles and
                                                                                                               Measurement proportionality to find the lengths of unknown line segments
                                                                                                                            in a triangle.

                                                                                                                  Algebra     GRADE 7: SPI0706.3.4 Interpret the slope of a line as a unit
                                                                                                                              rate given the graph of a proportional relationship.
Expressions Analyze and solve linear       EE.8.7 Solve linear equations in one variable.                         Algebra     GLE0806.3.2 Represent, analyze, and solve problems
& Equations equations and pairs of                                                                                            involving linear equations and inequalities in one and two
            simultaneous linear equations.                                                                                    variables.

                                                                                                                  Algebra     GRADE 6: GLE0606.3.1 Write and solve two-step equations
                                                                                                                              and inequalities.
Expressions Give examples of linear            EE.8.7.a Show which of these possibilities is the case by          Algebra     GLE0806.3.2 Represent, analyze, and solve problems
& Equations equations in one variable with     successively transforming the given equation into simpler                      involving linear equations and inequalities in one and two
            one solution, infinitely many      forms, until an equivalent equation of the form x = a, a = a,                  variables.
            solutions, or no solutions.        or a = b results (where a and b are different numbers).

                                                                                                                  Algebra     GRADE 6: GLE0606.3.1 Write and solve two-step equations
                                                                                                                              and inequalities.
                                                                                                                  Algebra     GRADE 6: SPI0606.3.2 Use order of operations and
                                                                                                                              parentheses to simplify expressions and solve problems.
                                                                                                                  Algebra     GRADE 6: SPI0606.3.6 Solve two-step linear equations
                                                                                                                              using number sense, properties, and inverse operations.
Expressions Give examples of linear            EE.8.7.b Solve linear equations with rational number               Algebra     GRADE 6: GLE0606.3.1 Write and solve two-step equations
& Equations equations in one variable with     coefficients, including equations whose solutions require                      and inequalities.
            one solution, infinitely many      expanding expressions using the distributive property and
            solutions, or no solutions.        collecting like terms.
                                                                                                                  Algebra     GRADE 6: GLE0606.3.3 Extend order of operations to
                                                                                                                              include grouping symbols and exponents.
                                                                                                                  Algebra     GRADE 6: CU0606.3.5 Use the commutative, associative
                                                                                                                              and distributive properties to show that two expressions are
                                                                                                                              equivalent.



                                                                                                                Page 153 of 180
                                                                                                           Algebra     GRADE 6: SPI0606.3.2 Use order of operations and
                                                                                                                       parentheses to simplify expressions and solve problems.
                                                                                                           Algebra     GRADE 6: SPI0606.3.6 Solve two-step linear equations
                                                                                                                       using number sense, properties, and inverse operations.
                                                                                                           Algebra     GRADE 7: SPI0706.3.6 Solve linear equations with rational
                                                                                                                       coefficients symbolically or graphically.
                                                                                                           Algebra     CU0806.3.1 Perform basic operations on algebraic
                                                                                                                       expressions including grouping, order of operations,
                                                                                                                       exponents, square/cube roots, simplifying and expanding.
Expressions Analyze and solve linear       EE.8.8 Analyze and solve pairs of simultaneous linear           Algebra     GLE0806.3.3 Solve systems of linear equations in two
& Equations equations and pairs of         equations.                                                                  variables.
            simultaneous linear equations.

                                                                                                           Algebra     CU0806.3.3 Solve systems of linear equations in two
                                                                                                                       variables and relate the systems to pairs of lines that
                                                                                                                       intersect, are parallel, or are the same line.
Expressions Analyze and solve linear       EE.8.8.a Understand that solutions to a system of two           Algebra     CU0806.3.2 Represent algebraic relationships with
& Equations equations and pairs of         linear equations in two variables correspond to points of                   equations and inequalities.
            simultaneous linear equations. intersection of their graphs, because points of intersection
                                           satisfy both equations simultaneously.
                                                                                                           Algebra     CU0806.3.3 Solve systems of linear equations in two
                                                                                                                       variables and relate the systems to pairs of lines that
                                                                                                                       intersect, are parallel, or are the same line.
                                                                                                           Algebra     SPI0806.3.2 Solve the linear equation fx = gx.
                                                                                                           Algebra     SPI0806.3.6 Analyze the graph of a linear function to find
                                                                                                                       solutions and intercepts.
Expressions Analyze and solve linear       EE.8.8.b Solve systems of two linear equations in two           Algebra     GLE0806.3.3 Solve systems of linear equations in two
& Equations equations and pairs of         variables algebraically, and estimate solutions by graphing                 variables.
            simultaneous linear equations. the equations. Solve simple cases by inspection. For
                                           example, 3x + 2y = 5 and 3x + 2y = 6 have no solution
                                           because 3x + 2y cannot simultaneously be 5 and 6.

                                                                                                           Algebra     SPI0806.3.1 Find solutions to systems of two linear
                                                                                                                       equations in two variables.
                                                                                                           Algebra     CU0806.3.13 Represent situations and solve real-world
                                                                                                                       problems using symbolic algebra.
 Functions Define, evaluate, and compare F.8.1 Understand that a function is a rule that assigns to        Algebra     GLE0806.3.3 Solve systems of linear equations in two
           functions.                    each input exactly one output. The graph of a function is                     variables.
                                         the set of ordered pairs consisting of an input and the
                                         corresponding output. (Function notation is not required in
                                         Grade )
                                                                                                           Algebra     GRADE 7: GLE0706.3.2 Understand and compare various
                                                                                                                       representations of relations and functions.
                                                                                                           Algebra     GRADE 7: GLE0706.3.3 Understand the concept of function
                                                                                                                       as a rule that assigns to a given input one and only one
                                                                                                                       number the output.
                                                                                                           Algebra     GRADE 7: GLE0706.3.4 Use function notation where fx
                                                                                                                       represents the output that the function f assigns to the input
                                                                                                                       x.
                                                                                                           Algebra     GRADE 7: SPI0706.3.2 Determine whether a relation
                                                                                                                       represented in various ways is a function.




                                                                                                          Page 154 of 180
Functions Define, evaluate, and compare F.8.2 Compare properties of two functions each                      Algebra     GLE0806.3.4 Translate among verbal, tabular, graphical
          functions.                    represented in a different way (algebraically, graphically,                     and algebraic representations of linear functions.
                                        numerically in tables, or by verbal descriptions). For
                                        example, given a linear function represented by a table of
                                        values and a linear function represented by an algebraic
                                        expression, determine which function has the greater rate
                                        of change.
                                                                                                            Algebra     SPI0806.3.4 Translate between various representations of a
                                                                                                                        linear function.
                                                                                                            Algebra     GRADE 7: CU0706.3.3 Identify a function from a written
                                                                                                                        description, table, graph, rule, set of ordered pairs, and/or
                                                                                                                        mapping.
                                                                                                            Algebra     GRADE 7: CU0706.3.4 Make tables of inputs x and outputs
                                                                                                                        fx for a variety of rules that include rational numbers
                                                                                                                        including negative numbers as inputs.
                                                                                                            Algebra     GRADE 7: CU0706.3.5 Plot points to represent tables of
                                                                                                                        linear function values.
Functions Define, evaluate, and compare F.8.3 Interpret the equation y = mx + b as defining a linear        Algebra     GLE0806.3.4 Translate among verbal, tabular, graphical
          functions.                    function, whose graph is a straight line; give examples of                      and algebraic representations of linear functions.
                                        functions that are not linear. For example, the function A =
                                        s^2 giving the area of a square as a function of its side
                                        length is not linear because its graph contains the points
                                        (1,1), (2,4) and (3,9), which are not on a straight line.


                                                                                                            Algebra     SPI0806.3.4 Translate between various representations of a
                                                                                                                        linear function.
                                                                                                            Algebra     GRADE 7: CU0706.3.9 Identify a function exhibiting a
                                                                                                                        constant rate of change as a linear function and identify the
                                                                                                                        slope as a unit rate.
Functions Use functions to model           F.8.4 Construct a function to model a linear relationship        Algebra     GLE0806.3.5 Use slope to analyze situations and solve
          relationships between            between two quantities. Determine the rate of change and                     problems.
          quantities.                      initial value of the function from a description of a
                                           relationship or from two (x, y) values, including reading
                                           these from a table or from a graph. Interpret the rate of
                                           change and initial value of a linear function in terms of the
                                           situation it models, and in terms of its graph or a table of
                                           values.
                                                                                                            Algebra     CU0806.3.6 Identify x- and y-intercepts and slope of linear
                                                                                                                        equations from an equation, graph or table.
                                                                                                            Algebra     SPI0806.3.5 Determine the slope of a line from an equation,
                                                                                                                        two given points, a table or a graph.
                                                                                                            Algebra     GRADE 7: GLE0706.3.7 Use mathematical models
                                                                                                                        involving linear equations to analyze real-world phenomena.

                                                                                                            Algebra     GRADE 7: CU0706.3.6 Understand that the graph of a
                                                                                                                        linear function f is the set of points on a line representing the
                                                                                                                        ordered pairs x, fx.




                                                                                                           Page 155 of 180
Functions Use functions to model        F.8.5 Describe qualitatively the functional relationship        Algebra     GLE0806.3.5 Use slope to analyze situations and solve
          relationships between         between two quantities by analyzing a graph (e.g., where                    problems.
          quantities.                   the function is increasing or decreasing, linear or
                                        nonlinear). Sketch a graph that exhibits the qualitative
                                        features of a function that has been described verbally.



                                                                                                        Algebra     SPI0806.3.5 Determine the slope of a line from an equation,
                                                                                                                    two given points, a table or a graph.
                                                                                                        Algebra     GRADE 7: SPI0706.3.3 Given a table of inputs x and
                                                                                                                    outputs fx, identify the function rule and continue the
                                                                                                                    pattern.
                                                                                                        Algebra     GRADE 7: SPI0706.3.7 Translate between verbal and
                                                                                                                    symbolic representations of real-world phenomena involving
                                                                                                                    linear equations.
Geometry   Understand congruence and    G.8.1 Verify experimentally the properties of rotations,     Geometry and GLE0806.4.5 Use visualization to describe or identify
           similarity using physical    reflections, and translations:                               Measurement intersections, cross-sections, and various views of
           models, transparencies, or    -- a. Lines are taken to lines, and line segments to line                geometric figures.
           geometry software.           segments of the same length.
                                         -- b. Angles are taken to angles of the same measure.
                                         -- c. Parallel lines are taken to parallel lines.


Geometry   Understand congruence and    G.8.2 Understand congruence and similarity using physical Geometry and GRADE 4: GLE0406.4.4 Understand the representation of
           similarity using physical    models, transparencies, or geometry software. Understand Measurement location and movement within the first quadrant of a
           models, transparencies, or   that a two-dimensional figure is congruent to another if the           coordinate system.
           geometry software.           second can be obtained from the first by a sequence of
                                        rotations, reflections, and translations; given two congruent
                                        figures, describe a sequence that exhibits the congruence
                                        between them.


                                                                                                     Geometry and GRADE 4: CU0406.4.16 Examine transformations in the
                                                                                                     Measurement coordinate plane.


                                                                                                     Geometry and GRADE 4: CU0406.4.17 Predict the results of a
                                                                                                     Measurement transformation of a geometric shape.


                                                                                                     Geometry and GRADE 4: SPI0406.4.10 Identify images resulting from
                                                                                                     Measurement reflections, translations, or rotations.


                                                                                                     Geometry and GRADE 6: GLE0606.4.2 Use the concepts of translation,
                                                                                                     Measurement rotation, reflection, and symmetry to understand congruence
                                                                                                                  in the plane.

                                                                                                     Geometry and CU0806.4.8 Build, draw, and work with 2- and 3-dimensional
                                                                                                     Measurement figures by means of orthogonal views, projective views,
                                                                                                                  and/or nets.




                                                                                                      Page 156 of 180
                                                                                                     Geometry and GRADE 4: CU0406.4.18 Determine whether a geometric
                                                                                                     Measurement shape has line and/or rotational symmetry.

Geometry   Understand congruence and    G.8.3 Describe the effect of dilations, translations,        Geometry and GRADE 4: GLE0406.4.4 Understand the representation of
           similarity using physical    rotations and reflections on two-dimensional figures using   Measurement location and movement within the first quadrant of a
           models, transparencies, or   coordinates.                                                              coordinate system.
           geometry software.
                                                                                                     Geometry and GRADE 4: CU0406.4.16 Examine transformations in the
                                                                                                     Measurement coordinate plane.

                                                                                                     Geometry and GRADE 4: CU0406.4.17 Predict the results of a
                                                                                                     Measurement transformation of a geometric shape.

                                                                                                     Geometry and GRADE 4: CU0406.4.18 Determine whether a geometric
                                                                                                     Measurement shape has line and/or rotational symmetry.

                                                                                                     Geometry and GRADE 4: SPI0406.4.10 Identify images resulting from
                                                                                                     Measurement reflections, translations, or rotations.


                                                                                                     Geometry and GRADE 6: GLE0606.4.2 Use the concepts of translation,
                                                                                                     Measurement rotation, reflection, and symmetry to understand congruence
                                                                                                                  in the plane.

                                                                                                     Geometry and GRADE 6: CU0606.4.7 Work with transformations in a plane
                                                                                                     Measurement and explore their meanings through drawings and
                                                                                                                  manipulatives.

                                                                                                     Geometry and GRADE 6: CU0606.4.9 Analyze the differences between
                                                                                                     Measurement congruence and similarity.


                                                                                                     Geometry and GRADE 6: CU0606.4.10 Describe the effect of a
                                                                                                     Measurement transformation on a 2-dimensional figure and the resulting
                                                                                                                  symmetry.

Geometry   Understand congruence and    G.8.4 Understand that a two-dimensional figure is similar Geometry and GRADE 4: GLE0406.4.4 Understand the representation of
           similarity using physical    to another if the second can be obtained from the first by a Measurement location and movement within the first quadrant of a
           models, transparencies, or   sequence of rotations, reflections, translations, and                    coordinate system.
           geometry software.           dilations; given two similar two-dimensional figures,
                                        describe a sequence that exhibits the similarity between
                                        them.
                                                                                                     Geometry and GRADE 4: CU0406.4.16 Examine transformations in the
                                                                                                     Measurement coordinate plane.

                                                                                                     Geometry and GRADE 4: CU0406.4.17 Predict the results of a
                                                                                                     Measurement transformation of a geometric shape.


                                                                                                     Geometry and GRADE 4: CU0406.4.18 Determine whether a geometric
                                                                                                     Measurement shape has line and/or rotational symmetry.




                                                                                                      Page 157 of 180
                                                                                                    Geometry and GRADE 4: SPI0406.4.10 Identify images resulting from
                                                                                                    Measurement reflections, translations, or rotations.


                                                                                                    Geometry and GRADE 6: GLE0606.4.2 Use the concepts of translation,
                                                                                                    Measurement rotation, reflection, and symmetry to understand congruence
                                                                                                                 in the plane.

                                                                                                    Geometry and GRADE 6: CU0606.4.7 Work with transformations in a plane
                                                                                                    Measurement and explore their meanings through drawings and
                                                                                                                 manipulatives.

                                                                                                    Geometry and GRADE 6: CU0606.4.9 Analyze the differences between
                                                                                                    Measurement congruence and similarity.


                                                                                                    Geometry and GRADE 6: CU0606.4.10 Describe the effect of a
                                                                                                    Measurement transformation on a 2-dimensional figure and the resulting
                                                                                                                 symmetry.

Geometry   Understand congruence and    G.8.5 Use informal arguments to establish facts about the Geometry and GRADE 6: CU0606.4.1 Investigate the sum of the angles in
           similarity using physical    angle sum and exterior angle of triangles, about the angles Measurement a trianGLEand a quadrilateral using various methods.
           models, transparencies, or   created when parallel lines are cut by a transversal, and
           geometry software.           the angle-angle criterion for similarity of triangles. For
                                        example, arrange three copies of the same triangle so that
                                        the three angles appear to form a line, and give an
                                        argument in terms of transversals why this is so.

                                                                                                    Geometry and GRADE 6: CU0606.4.6 Use the properties of interior and
                                                                                                    Measurement exterior angles of polygons to solve problems.


Geometry   Understand and apply the     G.8.6 Explain a proof of the Pythagorean Theorem and its Geometry and GLE0806.4.1 Derive the Pythagorean theorem and
           Pythagorean Theorem.         converse.                                                Measurement understand its applications.


                                                                                                    Geometry and CU0806.4.1 Model the Pythagorean Theorem.
                                                                                                    Measurement


                                                                                                    Geometry and CU0806.4.2 Use the converse of the Pythagorean Theorem
                                                                                                    Measurement to determine if a trianGLEis a right triangle.


Geometry   Understand and apply the     G.8.7 Apply the Pythagorean Theorem to determine            Geometry and CU0806.4.2 Use the converse of the Pythagorean Theorem
           Pythagorean Theorem.         unknown side lengths in right triangles in real-world and   Measurement to determine if a trianGLEis a right triangle.
                                        mathematical problems in two and three dimensions.

                                                                                                    Geometry and SPI0806.4.1 Use the Pythagorean Theorem to solve
                                                                                                    Measurement contextual problems.




                                                                                                     Page 158 of 180
Geometry     Understand and apply the         G.8.8 Apply the Pythagorean Theorem to find the distance Geometry and SPI0806.4.2 Apply the Pythagorean theorem to find
             Pythagorean Theorem.             between two points in a coordinate system.               Measurement distances between points in the coordinate plane to
                                                                                                                    measure lengths and analyze polygons and polyhedra.



Geometry     Solve real-world and             G.8.9 Know the formulas for the volume of cones,                  Geometry and GRADE 6: GLE0606.4.4 Develop and use formulas for
             mathematical problems            cylinders, and spheres and use them to solve real-world           Measurement surface area and volume of 3-dimensional figures.
             involving volume of cylinders,   and mathematical problems.
             cones and spheres.
                                                                                                                Geometry and GRADE 6: CU0606.4.16 Solve contextual problems
                                                                                                                Measurement involving area and circumference of circles, surface areas
                                                                                                                             and volumes of prisms, pyramids, cones, and cylinders.

                                                                                                                Geometry and GRADE 6: CU0606.4.17 Use manipulatives to discover the
                                                                                                                Measurement volume of a pyramid is one-third the volume of the related
                                                                                                                             prism the heights and base areas are equal.

                                                                                                                Geometry and GRADE 6: CU0606.4.18 Use manipulatives to discover the
                                                                                                                Measurement volume of a cone is one-third the volume of the related
                                                                                                                             cylinder the heights and base areas are equal.

                                                                                                                Geometry and GRADE 6: SPI0606.4.5 Determine the surface area and
                                                                                                                Measurement volume of prisms, pyramids and cylinders.


                                                                                                                Geometry and GRADE 6: SPI0606.4.6 Given the volume of a
                                                                                                                Measurement cone/pyramid, find the volume of the related cylinder/prism
                                                                                                                             or vice versa.

Statistics & Investigate patterns of          SP.8.1 Construct and interpret scatter plots for bivariate             Data      GLE0806.5.2 Select, create, and use appropriate graphical
Probability association in bivariate data.    measurement data to investigate patterns of association             Analysis,    representations of data including scatterplots with lines of
                                              between two quantities. Describe patterns such as                  Statistics, & best fit to make and test conjectures.
                                              clustering, outliers, positive or negative association, linear     Probability
                                              association, and nonlinear association.
                                                                                                                     Data        CU0806.5.4 Explain the benefits and the limitations of
                                                                                                                  Analysis,      various representations i.e., bar graphs, line graphs, circle
                                                                                                                 Statistics, &   graphs, histograms, stem-and-leaf plots, box plots,
                                                                                                                 Probability     scatterplots of data.
                                                                                                                     Data        SPI0806.5.3 Generalize the relationship between two sets of
                                                                                                                  Analysis,      data using scatterplots and lines of best fit.
                                                                                                                 Statistics, &
                                                                                                                 Probability
Statistics & Investigate patterns of          SP.8.2 Know that straight lines are widely used to model               Data        CU0806.5.4 Explain the benefits and the limitations of
Probability association in bivariate data.    relationships between two quantitative variables. For               Analysis,      various representations i.e., bar graphs, line graphs, circle
                                              scatter plots that suggest a linear association, informally fit    Statistics, &   graphs, histograms, stem-and-leaf plots, box plots,
                                              a straight line, and informally assess the model fit by            Probability     scatterplots of data.
                                              judging the closeness of the data points to the line.

                                                                                                                     Data      CU0806.5.7 Estimate lines of best fit to make and test
                                                                                                                  Analysis,    conjectures.
                                                                                                                 Statistics, &
                                                                                                                 Probability




                                                                                                                 Page 159 of 180
Statistics & Investigate patterns of         SP.8.3 Use the equation of a linear model to solve                Data      GLE0806.5.2 Select, create, and use appropriate graphical
Probability association in bivariate data.   problems in the context of bivariate measurement data,         Analysis,    representations of data including scatterplots with lines of
                                             interpreting the slope and intercept. For example, in a       Statistics, & best fit to make and test conjectures.
                                             linear model for a biology experiment, interpret a slope of   Probability
                                             1.5 cm/hr as meaning that an additional hour of sunlight
                                             each day is associated with an additional 1.5 cm in mature
                                             plant height.
                                                                                                               Data        CU0806.5.4 Explain the benefits and the limitations of
                                                                                                            Analysis,      various representations i.e., bar graphs, line graphs, circle
                                                                                                           Statistics, &   graphs, histograms, stem-and-leaf plots, box plots,
                                                                                                           Probability     scatterplots of data.
                                                                                                               Data        SPI0806.5.3 Generalize the relationship between two sets of
                                                                                                            Analysis,      data using scatterplots and lines of best fit.
                                                                                                           Statistics, &
Statistics & Investigate patterns of         SP.8.4 Understand that patterns of association can also       Probability
                                                                                                               Data        CU0806.5.5 Create and interpret box-and-whisker plots and
Probability association in bivariate data.   be seen in bivariate categorical data by displaying            Analysis,      scatterplots.
                                             frequencies and relative frequencies in a two-way table.      Statistics, &
                                             Construct and interpret a two-way table summarizing data      Probability
                                             on two categorical variables collected from the same
                                             subjects. Use relative frequencies calculated for rows or
                                             columns to describe possible association between the two
                                             variables. For example, collect data from students in your
                                             class on whether or not they have a curfew on school
                                             nights and whether or not they have assigned chores at
                                             home. Is there evidence that those who have a curfew
                                             also tend to have chores?


                                                                                                               Data      SPI0806.5.3 Generalize the relationship between two sets of
                                                                                                            Analysis,    data using scatterplots and lines of best fit.
                                                                                                           Statistics, &
                                                                                                           Probability




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