Math Curriculum Grade 2 by agu19334

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									 Minot Public Schools


Math Curriculum

     Grade 2
                         Minot Public Schools Math Curriculum
Grade 2
Standard 1: Students understand and use basic and advanced concepts of numbers
   and number systems.
Benchmark 1.2.1: Understands the characteristics and properties of our numeration system

  1    To meet this benchmark,     2       To meet this benchmark,     3     To meet this benchmark,
        a Grade 1 student …                 a Grade 2 student …               a Grade 3 student …
  D   Recognizes, writes, and      M   Recognizes, writes, and
        shows one to one                shows one to one
        correspondence with             correspondence with
        numerals 0-500 (1.1.2)          numerals 0-1000 (2.1.4)


  D   Places numbers on a          D   Places numbers on a             D   Places numbers on a number
         number line                    number line                          line


  I   Reads and writes numbers     D   Reads and writes numbers        D   Reads and writes numbers
        to 20 using standard and        to 1000 using standard               to 10,000 using standard
        word notation (1.1.7)           and word notation (2.1.5)            and word notation

                                                                       I   Introduce the use of
                                                                             expanded notation




Grade 2 Page 2               I=Introduce          D= Develop (with assistance)           M=Mastery
Grade 2
Standard 1: Students understand and use basic and advanced concepts of numbers
   and number systems.
Benchmark 1.2.1: Understands the characteristics and properties of our numeration system

     To meet this benchmark,           Level     Vocabulary                   Suggested Activities
         the student …                                                        Resources or Tools
Recognizes, writes, and shows one to    M      number            Calendar
 one correspondence with numerals              numeral           Box It and Bag It activities
 0-1000 (2.1.4)                                match             Dice activities
                                               set               100’s chart
                                               zero              Story problems


Places numbers on a number line         D      number line       Number line on the floor
                                               zero              Time lines




Reads and writes numbers to 1000        D      standard notation Place value charts (see appendix)
 using standard and word notation              word notation     Periods chart (see appendix)
 (2.1.5)                                                         Websites (see appendix)




I=Introduce            D= Develop (with assistance)           M=Mastery                         Grade 2 Page 3
Grade 2
Standard 1: Students understand and use basic and advanced concepts of numbers
   and number systems.
Benchmark 1.2.1: Understands the characteristics and properties of our numeration system
   (cont.)

  1    To meet this benchmark,       2       To meet this benchmark,     3     To meet this benchmark,
        a Grade 1 student …                   a Grade 2 student …               a Grade 3 student …
  I   Shows fractions using          D   Shows fractions and mixed       D   Shows fractions and mixed
        objects and drawings              numbers using objects                numbers using objects,
                                          and drawings.                        drawings, standard
                                                                               notation and words

  D   Demonstrates place value of    D   Demonstrates place value        I   Identifies place value from
        numbers through 100              of numbers through 1,000              ten thousands through the
        (1.1.9)                          (2.1.7)                               hundredths place (3.1.5)



                                     I   Rounds numbers to 10’s          D   Rounds whole numbers to
                                          and 100’s. (2.1.9)                  the nearest 10’s, 100’s,
                                                                              and 1000’s




Grade 2 Page 4                 I=Introduce          D= Develop (with assistance)           M=Mastery
Grade 2
Standard 1: Students understand and use basic and advanced concepts of numbers
   and number systems.
Benchmark 1.2.1: Understands the characteristics and properties of our numeration system
   (cont.)

     To meet this benchmark,          Level    Vocabulary                  Suggested Activities
           the student …                                                   Resources or Tools
Shows fractions and mixed numbers      D      fraction       North      (numerator)
 using objects and drawings.                  numerator      Dakota (denominator)
                                              denominator    Fraction bars
                                              fraction bar   Hershey Bars (see book list)
                                                             Calendar
                                                             Box It and Bag It
                                                             AIMS-Fabulous Fractions
Demonstrates place value of numbers    D      place value    Number line
 through 1,000 (2.1.7)                        ones           Place value chart
                                              tens           Calendar activities
                                              hundreds       Box It and Bag It
                                              thousands


Rounds numbers to 10’s and 100’s.      D      round          Rounding rules chart
 (2.1.9)                                                     Place value chart
                                                             Number line
                                                             Calendar




I=Introduce           D= Develop (with assistance)           M=Mastery                    Grade 2 Page 5
Grade 2
Standard 1: Students understand and use basic and advanced concepts of numbers
   and number systems.
Benchmark 1.2.2: Renames, orders, and compares numbers

  1    To meet this benchmark,        2       To meet this benchmark,     3     To meet this benchmark,
        a Grade 1 student …                    a Grade 2 student …               a Grade 3 student …
  D   Counts and orders numbers       D   Counts and orders numbers       D   Counts and orders numbers
        0-500 (1.1.1)                      0-1,000 (2.1.1)                     0-10,000 (3.1.1)




  D   Counts backward from           M    Counts backward from
        50-1 (1.1.3)                       100-1 (2.1.2)




  I   Identifies odd and even         D   Identifies odd and even         D   Identifies and applies odd
        numbers by using                    numbers to 1,000 (2.1.6)            and even numbers to
        concrete objects or                                                     10,000 (3.1.4)
        drawings




Grade 2 Page 6                  I=Introduce          D= Develop (with assistance)            M=Mastery
Grade 2
Standard 1: Students understand and use basic and advanced concepts of numbers
   and number systems.
Benchmark 1.2.2: Renames, orders, and compares numbers

     To meet this benchmark,          Level    Vocabulary                 Suggested Activities
         the student . . .                                                Resources or Tools
Counts and orders numbers 0-1,000       D     order         Place value chart
 (2.1.1)                                      before        Mystery number
                                              after         Calendar
                                              between       100’s chart



Counts backward from 100-1 (2.1.2)      M     backwards     Calendar
                                                            Box It and Bag It
                                                            Number chart
                                                            100’s chart


Identifies odd and even numbers to      D     odd           Calendar
  1,000 (2.1.6)                               even          Number chart
                                                            100’s chart
                                                            Box It and Bag It
                                                            Zero the Hero
                                                            Two colored disc




I=Introduce            D= Develop (with assistance)         M=Mastery                     Grade 2 Page 7
Grade 2
Standard 1: Students understand and use basic and advanced concepts of numbers
   and number systems.
Benchmark 1.2.2: Renames, orders, and compares numbers (cont.)

  1    To meet this benchmark,          2       To meet this benchmark,     3     To meet this benchmark,
        a Grade 1 student …                      a Grade 2 student …               a Grade 3 student …
  D   Identifies position using         D   Identifies position using       D   Identifies position using
        ordinal numbers 1st                   ordinal numbers 1st                 ordinal numbers 1st
        through 10th (1.1.6)                  through 31st                        through 100th



  D   Compares sets of 2 digit          D   Compares whole numbers          D   Compares and orders
        objects for greater or less          up to 1000 using                    objects and numerals to
        using appropriate                    appropriate symbols                 10,000 using appropriate
        symbols (<,>,=) (1.1.10)             (<,,>,=) (2.1.8)                    symbols (<, >, =) (3.1.6)




  D   Groups and counts objects        M    Counts by 2’s to 20, 5’s
        by 2’s to 20, 5’s and 10’s           and 10’s to 100. (2.1.3)
        to 100 (1.1.4; 1.1.5)




Grade 2 Page 8                    I=Introduce          D= Develop (with assistance)            M=Mastery
Grade 2
Standard 1: Students understand and use basic and advanced concepts of numbers
   and number systems.
Benchmark 1.2.2: Renames, orders, and compares numbers (cont.)

      To meet this benchmark,           Level    Vocabulary                  Suggested Activities
          the student . . .                                                  Resources or Tools
Identifies position using ordinal         D     ordinal        Standing in line
  numbers 1st through 31st                                     Calendar




Compares whole numbers up to 1000         D     greater than > Graphs
 using appropriate symbols (<, >, =)            less than <    The opening of the symbol always opens to the
 (2.1.8)                                        equal to =         larger number.
                                                symbol



Counts by 2’s to 20, 5’s and 10’s to      M                    Number line
 100 (2.1.3)                                                   100’s chart
                                                               Chains
                                                               Tally marks
                                                               Calendar




I=Introduce              D= Develop (with assistance)          M=Mastery                     Grade 2 Page 9
Grade 2
Standard 1: Students understand and use basic and advanced concepts of numbers
   and number systems.
Benchmark 1.2.3: Knows and uses basic facts and computational algorithms for whole numbers, fractions, and
   decimals

  1    To meet this benchmark,      2   To meet this benchmark,       3    To meet this benchmark,
         a Grade 1 student …              a Grade 2 student …                a Grade 3 student …
  I    Recognizes and interprets    D   Recognizes and interprets     D   Recognizes and interprets
          symbols +, -, =                symbols +, -, =                   symbols +, –, =, x, ÷
          (1.1.12)


  I    Uses grade appropriate       D   Uses grade appropriate        D   Uses grade appropriate
         terminology when                terminology when                  terminology when
         communicating about             communicating about               communicating about
         addition and subtraction        addition and subtraction          addition and subtraction
         (1.1.11)                        (2.1.10)


                                                                      I   Uses grade appropriate
                                                                          terminology when
                                                                          communicating about
                                                                          multiplication and division
                                                                          (3.1.7)




Grade 2 Page 10               I=Introduce        D= Develop (with assistance)           M=Mastery
Grade 2
Standard 1: Students understand and use basic and advanced concepts of numbers
   and number systems.
Benchmark 1.2.3: Knows and uses basic facts and computational algorithms for whole numbers,
   fractions, and decimals

       To meet this benchmark,              Level        Vocabulary                Suggested Activities
           the student . . .                                                       Resources or Tools
Recognizes and interprets symbols +, -, =    D      addition +              Word-A Day
                                                    subtraction -           Box It and Bag It
                                                    plus/add                The Doorbell Rang by Pat Hutchins
                                                    minus/take away         AIMS math activities
                                                    equals =




Uses grade appropriate terminology when      D      addends                 Word-A Day
 communicating about addition and                   sum - addition          “Double trouble”
 subtraction (2.1.10)                               difference -
                                                    subtraction




I=Introduce            D= Develop (with assistance)             M=Mastery                      Grade 2 Page 11
Grade 2
Standard 1: Students understand and use basic and advanced concepts of numbers
   and number systems.
Benchmark 1.2.3: Knows and uses basic facts and computational algorithms for whole numbers,
      fractions, and decimals (cont.)

  1      To meet this benchmark,          2       To meet this benchmark,     3     To meet this benchmark,
          a Grade 1 student …                      a Grade 2 student …               a Grade 3 student …
  I     Uses manipulatives to             D   Uses manipulatives to           D   Applies fact families in
          explore fact families in             explore fact families in            addition and subtraction
          addition and subtraction             addition and subtraction            through 18
          through 18                           through 18 (2.1.13)


  I     Adds and subtracts to 18          D   Recalls addition and           M    Recalls addition &
          using manipulatives                  subtraction facts to 18             subtraction facts to 18
                                               (2.1.16)
  I     Recalls addition and
          subtraction facts to 10
          (1.1.13)


  I     Adds and subtracts 2 digit        D   Adds and subtracts 2 digit      D   Adds and subtracts numbers
         whole numbers without                 whole numbers with &                (3-5 digits) that require
         regrouping                            without regrouping                  regrouping (3.1.13)
                                               (2.1.15)




Grade 2 Page 12                     I=Introduce          D= Develop (with assistance)            M=Mastery
Grade 2
Standard 1: Students understand and use basic and advanced concepts of numbers
   and number systems.
Benchmark 1.2.3: Knows and uses basic facts and computational algorithms for whole numbers,
   fractions, and decimals (cont.)

       To meet this benchmark,              Level        Vocabulary                  Suggested Activities
              the student . . .                                                       Resources or Tools
Uses manipulatives to explore fact           D      fact family               Fact family
 families in addition and subtraction                                         Snap Cube activities
 through 18 (2.1.13)




Recalls addition and subtraction facts to    D                                Base Ten Blocks
 18 (2.1.16)                                                                  AIMS Math Activities
                                                                              Math Facts in a Flash (computer
                                                                                program)
                                                                              Turbo Math

Adds and subtracts 2 digit whole numbers     D      digit                     Base ten blocks
 with & without regrouping (2.1.15)                 regrouping
                                                    whole number




I=Introduce             D= Develop (with assistance)              M=Mastery                     Grade 2 Page 13
Grade 2
Standard 1: Students understand and use basic and advanced concepts of numbers
   and number systems.
Benchmark 1.2.3: Knows and uses basic facts and computational algorithms for whole numbers, fractions, and
    decimals (cont.)

  1    To meet this benchmark,      2       To meet this benchmark,     3     To meet this benchmark,
        a Grade 1 student …                  a Grade 2 student …               a Grade 3 student …
                                    I   Estimates whole numbers         D   Estimates whole number
                                         sums and differences                sums, differences, and
                                         (2.1.17)                            products
                                                                        I   Explores relationships
                                                                             between multiplying and
                                                                             dividing within fact
                                                                             families/ inverse
                                                                             operations (3.1.18)
  I   Demonstrates the              D   Models and uses the             I   Models and uses properties
       commutative property for          addition property of 0 and          of addition and
       addition (order property)         the commutative property            multiplication (3.1.14;
                                         of addition                         3.1.15)

                                    I   Models repeating addition       I   Models, represents, and
                                         using equal sets of                 explains the concept of
                                         objects (2.1.14)                    multiplication and division
                                                                             (3.1.10; 3.1.11)




Grade 2 Page 14               I=Introduce          D= Develop (with assistance)           M=Mastery
Grade 2
Standard 1: Students understand and use basic and advanced concepts of numbers
   and number systems.
Benchmark 1.2.3: Knows and uses basic facts and computational algorithms for whole numbers,
   fractions, and decimals (cont.)

        To meet this benchmark,            Level      Vocabulary               Suggested Activities
             the student . . .                                                 Resources or Tools
Estimates whole numbers sums and             I     estimate
 differences (2.1.17)




Models and uses the Identity Property of    D      Identity Property  Commute means to move. The
 Addition and the Commutative Property                of Addition        Commutative Property means the
 of Addition                                       Commutative           numbers move in the mathematical
                                                      Property           sentence. (3+4=4+3)
                                                                      Identity Property of Addition
                                                                         4+0 = 4
Models repeating addition using equal        I     repeating addition Skip counting
 sets of objects (2.1.14)                                             Rectangular arrays




I=Introduce            D= Develop (with assistance)             M=Mastery                  Grade 2 Page 15
Grade 2
Standard 1: Students understand and use basic and advanced concepts of numbers
   and number systems.
Benchmark 1.2.3: Knows and uses basic facts and computational algorithms for whole numbers,
    fractions, and decimals (cont.)

  1    To meet this benchmark,          2    To meet this benchmark,        3        To meet this benchmark,
         a Grade 1 student …                   a Grade 2 student …                      a Grade 3 student …
  I   Uses grade appropriate            D   Uses grade appropriate          D      Uses grade appropriate
       terminology when                      terminology when                       terminology when
       communicating about                   communicating about                    communicating about
       fractions                             fractions                              fractions




  I   Recognizes fractions              D   Recognizes fractions as part    D      Represents fractions and mixed
       1/2,1/3,1/4 as part of a              of a whole and part of a set            numbers, using words,
       whole and part of a set               (2.1.11)                                numerals, and physical
       (1.1.8)                                                                       models (3.1.9)




Grade 2 Page 16                   I=Introduce       D= Develop (with assistance)              M=Mastery
Grade 2
Standard 1: Students understand and use basic and advanced concepts of numbers
   and number systems.
Benchmark 1.2.3: Knows and uses basic facts and computational algorithms for whole numbers,
   fractions, and decimals (cont.)

       To meet this benchmark,             Level       Vocabulary               Suggested Activities
             the student . . .                                                   Resources or Tools
Uses grade appropriate terminology when      D     numerator           North      numerator
 communicating about fractions                     denominator         Dakota    denominator
                                                   fraction bar        Math notebooks/journals
                                                                       Word-A Day




Recognizes fractions as part of a whole      D     whole               Draw pictures/models
 and part of a set (2.1.11)                        1/2 one half        Apple math
                                                   1/3 one third       Overhead shapes
                                                   1/4 one fourth      Fraction bars/circles
                                                   1/6 one sixth       Geo-boards
                                                   1/8 one eighth      Pattern blocks
                                                                       AIMS Math Activities
                                                                       Egg Cartons




I=Introduce             D= Develop (with assistance)              M=Mastery                    Grade 2 Page 17
Grade 2
Standard 1: Students understand and use basic and advanced concepts of numbers
   and number systems.
Benchmark 1.2.4: Uses strategies to solve a wide variety of problems which may include real
   world experiences

  1    To meet this benchmark,        2       To meet this benchmark,        3      To meet this benchmark,
         a Grade 1 student …                    a Grade 2 student …                   a Grade 3 student …
  I   Uses strategies for solving     D      Uses strategies for solving    D      Chooses and explains
       problems                               problems                              strategies for solving
                                                                                    problems (3.1.12)




  I   Uses a variety of estimation    D      Uses a variety of estimation   D      Uses a variety of estimation
       strategies                             strategies                            strategies involving whole
                                                                                    numbers, products, and
                                                                                    quotients (3.1.21)




Grade 2 Page 18                I=Introduce          D= Develop (with assistance)             M=Mastery
Grade 2
Standard 1: Students understand and use basic and advanced concepts of numbers
   and number systems.
Benchmark 1.2.4: Uses strategies to solve a wide variety of problems which may include real
   world experiences

      To meet this benchmark,             Level        Vocabulary                  Suggested Activities
          the student . . .                                                        Resources or Tools
Uses strategies for solving problems       D      Strategy                Manipulatives
                                                  Draw a picture          Otter Creek Institute class
                                                  Guess and check         Oral and written explanations
                                                  Work backwards          Identify the unneeded information either
                                                  Make a chart or graph       too much information or not enough
                                                  Solve a simpler             information.
                                                     related problem      Write the mathematical sentence needed
                                                  Act it out                  for a problem.
                                                  Make a model            Take a mathematical sentence and create
                                                  Estimate                    a story problem.
                                                                          Choose the correct answer from a list of
                                                                              possible answers (multiple choice)
Uses a variety of estimation strategies    D      rounding                Estimation jars
                                                                          Estimate how many steps there are in a
                                                                              mile. Then put on a pedometer and
                                                                              walk for a mile.
                                                                          School wide estimation activities




I=Introduce             D= Develop (with assistance)             M=Mastery                      Grade 2 Page 19
Grade 2
Standard 1: Students understand and use basic and advanced concepts of numbers
   and number systems.
Benchmark 1.2.4: Uses strategies to solve a wide variety of problems, which may include real
 world experiences (cont.)

  1    To meet this benchmark,       2       To meet this benchmark,       3      To meet this benchmark,
          a Grade 1 student …                  a Grade 2 student …                   a Grade 3 student …
  I   Knows when to use addition     D      Knows when to use addition     D     Selects correct operation,
       and subtraction to solve              and subtraction to solve              solves, and labels story
       story problems                        story problems (2.1.12)               problems



  I   Uses estimation to determine   D      Uses estimation to determine   D     Uses estimation to determine
       if solutions are reasonable           if solutions are reasonable          if solutions are reasonable
                                                                                  (3.1.22)



  I   Knows when an estimate is      D      Knows when an estimate is      D     Knows when an estimate is
       close enough                          close enough                         close enough




Grade 2 Page 20               I=Introduce         D= Develop (with assistance)             M=Mastery
Grade 2
Standard 1: Students understand and use basic and advanced concepts of numbers
   and number systems.
Benchmark 1.2.4: Uses strategies to solve a wide variety of problems which may include real
   world experiences (cont.)

      To meet this benchmark,          Level           Vocabulary             Suggested Activities
           the student . . .                                                   Resources or Tools
Knows when to use addition and           D     story/word problems    Draw pictures/models
 subtraction to solve story problems           how many more          Problem of the Day/Week
 (2.1.12)                                      altogether
                                               are left
                                               in all
                                               more
                                               less
                                               total
                                               about
                                               not enough information
Uses estimation to determine if          D     reasonable             Estimate and solve
 solutions are reasonable


Knows when an estimate is close          D     close enough           Estimate and solve
 enough




I=Introduce             D= Develop (with assistance)           M=Mastery                   Grade 2 Page 21
Grade 2
Standard 2: Students understand and apply geometric concepts and spatial
   relationships to represent and solve problems in mathematical and
   nonmathematical situations.
Benchmark 2.2.1: Knows geometric terminology and is aware of the properties and relationships
   between two and three-dimensional figures

  1    To meet this benchmark,        2       To meet this benchmark,     3     To meet this benchmark,
        a Grade 1 student …                    a Grade 2 student …               a Grade 3 student …
  D   Understands and applies         D   Understands and applies         D   Understands and applies
       grade appropriate                   grade appropriate                   grade appropriate
       terminology                         terminology                         terminology




  I   Uses manipulatives to           D   Predicts and demonstrates       D   Predicts and demonstrates
        verify predictions of               the results of putting              the results of putting
        combining shapes                    together and taking apart           together and taking apart
                                            shapes (2.2.3)                      shapes




Grade 2 Page 22                 I=Introduce          D= Develop (with assistance)           M=Mastery
Grade 2
Standard 2: Students understand and apply geometric concepts and spatial
   relationships to represent and solve problems in mathematical and
   nonmathematical situations.
Benchmark 2.2.1: Knows geometric terminology and is aware of the properties and relationships
   between two and three-dimensional figures

     To meet this benchmark,             Level         Vocabulary                  Suggested Activities
         the student …                                                             Resources or Tools
Understands and applies grade             D      geometry                Math journal/notebook
 appropriate terminology                         mathematics             Word-A Day
                                                 spatial relationships   Pass the Pocket Game (DPI website)




Predicts and demonstrates the results     D      pattern blocks          Pattern blocks
  of putting together and taking apart           geo-boards              Geo-boards
  shapes (2.2.3)                                 tangrams                Tangrams




I=Introduce             D= Develop (with assistance)              M=Mastery                    Grade 2 Page 23
Grade 2
Standard 2: Students understand and apply geometric concepts and spatial
   relationships to represent and solve problems in mathematical and
   nonmathematical situations.
Benchmark 2.2.1: Knows geometric terminology and is aware of the properties and relationships
   between two and three-dimensional figures (cont.)

  1    To meet this benchmark,       2       To meet this benchmark,     3     To meet this benchmark,
        a Grade 1 student …                   a Grade 2 student …               a Grade 3 student …
  D   Identifies, compares, draws    D   Explains the physical           D   Compares the physical
        and sorts two-                     attributes of two-                  attributes of two-
        dimensional figures                dimensional figures                 dimensional figures
        (1.2.1)                                                              Uses vocabulary to describe
                                                                              them (3.2.1)




  D   Identifies three-dimensional   D   Identifies, describes, and      D   Describes the physical
        figures with its stated            sorts three-dimensional             attributes of three-
        name (1.2.2)                       figures (2.2.2)                     dimensional figures
                                                                             Uses vocabulary to describe
                                                                              them (3.2.2)




Grade 2 Page 24                I=Introduce          D= Develop (with assistance)           M=Mastery
Grade 2
Standard 2: Students understand and apply geometric concepts and spatial
   relationships to represent and solve problems in mathematical and
   nonmathematical situations.
Benchmark 2.2.1: Knows geometric terminology and is aware of the properties and relationships
   between two and three-dimensional figures (cont.)

      To meet this benchmark,             Level         Vocabulary                Suggested Activities
          the student …                                                           Resources or Tools
Explains the physical attributes of        D      shape      oval        Shape             Art projects
  two-dimensional figures                         size       rectangle   Size
                                                  circle     rhombus     Number of corners
                                                  square                 Number of sides
                                                  triangle               Tangrams
                                                  number of corners      Pattern blocks
                                                  number of sides        Geo-boards
                                                                         Attribute blocks

Identifies, describes, and sorts three-    D      pyramid                Geometric solids
  dimensional figures (2.2.2)                     cube
                                                  sphere
                                                  rectangular prism
                                                  cone
                                                  cylinder




I=Introduce              D= Develop (with assistance)            M=Mastery                    Grade 2 Page 25
Grade 2
Standard 2: Students understand and apply geometric concepts and spatial
   relationships to represent and solve problems in mathematical and
   nonmathematical situations.
Benchmark 2.2.1: Knows geometric terminology and is aware of the properties and relationships
   between two and three-dimensional figures (cont.)

  1    To meet this benchmark,        2    To meet this benchmark,       3    To meet this benchmark,
         a Grade 1 student …                a Grade 2 student …                 a Grade 3 student …
  I   Identifies symmetrical          D   Identifies symmetrical         D   Identifies and creates
        shapes and identifies lines         shapes and draws the               figures that have line
        of symmetry in two-                 lines of symmetry                  symmetry and draws the
        dimensional figures                 (2.2.4)                            lines of symmetry (3.2.6)
        (1.2.3)

                                      I   Identifies congruent figures   D   Identifies two-dimensional
                                            from a selection of                 figures that are either
                                            similar figures (2.2.5)             congruent or similar
                                                                                (3.2.7)

                                                                         I   Introduces the changes in
                                                                                position and orientation
                                                                                of two-dimensional
                                                                                figures after
                                                                                transformation




Grade 2 Page 26                I=Introduce        D= Develop (with assistance)              M=Mastery
Grade 2
Standard 2: Students understand and apply geometric concepts and spatial
   relationships to represent and solve problems in mathematical and
   nonmathematical situations.
Benchmark 2.2.1: Knows geometric terminology and is aware of the properties and relationships
   between two and three-dimensional figures (cont.)

      To meet this benchmark,            Level          Vocabulary              Suggested Activities
          the student …                                                         Resources or Tools
Identifies symmetrical shapes and         D      symmetry              Mirror Cards
  draws the lines of symmetry                    two-dimensional       AIMS math activities
  (2.2.4)                                                              Art projects
                                                                       String art
                                                                       Line designs
                                                                       Tessellations



Identifies congruent figures from a        I     congruent             Tessellations
  selection of similar figures (2.2.5)                                 AIMS math activities




I=Introduce              D= Develop (with assistance)            M=Mastery                    Grade 2 Page 27
Grade 2
Standard 2: Students understand and apply geometric concepts and spatial
   relationships to represent and solve problems in mathematical and
   nonmathematical situations.
Benchmark 2.2.2: Understands that geometry is found within and outside of mathematics

  1    To meet this benchmark,         2       To meet this benchmark,     3     To meet this benchmark,
        a Grade 1 student …                     a Grade 2 student …               a Grade 3 student …
  I   Arranges and describes          M    Arranges and describes
        objects in space by                  objects in space by
        position and direction               position and direction
        (1.2.4)




  I   Identifies geometric shapes      D   Recognizes geometric           M    Recognizes geometric
        in the surrounding world             shapes and structures in            shapes and structures in
                                             their environment                   their environment
                                             (2.2.1)




Grade 2 Page 28                  I=Introduce          D= Develop (with assistance)           M=Mastery
Grade 2
Standard 2: Students understand and apply geometric concepts and spatial
   relationships to represent and solve problems in mathematical and
   nonmathematical situations.
Benchmark 2.2.2: Understands that geometry is found within and outside of mathematics

     To meet this benchmark,          Level           Vocabulary               Suggested Activities
         the student . . .                                                     Resources or Tools
Arranges and describes objects in       M     around       up         Art projects
  space by position and direction             straight     top        String Art
                                              down         bottom     Line designs
                                              across       in front   AIMS math activities
                                              above        behind
                                              below        middle
                                              between      left
                                              next to      right



Recognizes geometric shapes and         D     circle/clock            Find geometric shapes in the
  structures in their environment             triangle/pine tree         environment.
  (2.2.1)




I=Introduce            D= Develop (with assistance)            M=Mastery                     Grade 2 Page 29
Grade 2
Standard 2: Students understand and apply geometric concepts and spatial
   relationships to represent and solve problems in mathematical and
   nonmathematical situations..
Benchmark 2.2.3: Knows the components of the coordinate plane

  1    To meet this benchmark,        2       To meet this benchmark,     3     To meet this benchmark,
        a Grade 1 student …                    a Grade 2 student …               a Grade 3 student …
      No expectations at this level       No expectations at this         I   Uses ordered pairs to
                                           level                                identify the locations of
                                                                                points on a grid
                                                                                (3.2.5)




Grade 2 Page 30                 I=Introduce          D= Develop (with assistance)            M=Mastery
Grade 2
Standard 2: Students understand and apply geometric concepts and spatial
   relationships to represent and solve problems in mathematical and
   nonmathematical situations.
Benchmark 2.2.3: Knows the components of the coordinate plane

      To meet this benchmark           Level   Vocabulary               Suggested Activities
        The student will . . .                                          Resources or Tools
No expectations at this level




I=Introduce             D= Develop (with assistance)        M=Mastery                   Grade 2 Page 31
Grade 2
Standard 2: Students understand and apply geometric concepts and spatial
   relationships to represent and solve problems in mathematical and
   nonmathematical situations.
Benchmark 2.2.4: Determines perimeter, circumference, and area in two-dimensions and surface
   area and volume in three-dimensions

  1    To meet this benchmark,        2       To meet this benchmark,     3     To meet this benchmark,
        a Grade 1 student …                    a Grade 2 student …               a Grade 3 student …
      No expectations at this level       No expectations at this         I   Explores perimeter of any
                                           level                                quadrilateral




      No expectations at this level       No expectations at this         I   Explores area of
                                           level                                quadrilaterals




Grade 2 Page 32                 I=Introduce          D= Develop (with assistance)           M=Mastery
Grade 2
Standard 2: Students understand and apply geometric concepts and spatial
   relationships to represent and solve problems in mathematical and
   nonmathematical situations.
Benchmark 2.2.4: Determines perimeter, circumference, and area in two-dimensions, and
   surface, area, and volume in three-dimensions

      To meet this benchmark,          Level   Vocabulary               Suggested Activities
         the student will . . .                                         Resources or Tools
No expectations at this level




I=Introduce             D= Develop (with assistance)        M=Mastery                   Grade 2 Page 33
Grade 2
Standard 3: Students use data collection and analysis techniques, statistical methods,
     and probability to solve problems.
Benchmark 3.2.1: Collects, reads, displays, and interprets data using appropriate techniques

  1    To meet this benchmark,          2       To meet this benchmark,     3     To meet this benchmark,
        a Grade 1 student …                      a Grade 2 student …               a Grade 3 student …
  D   Sorts objects by several          D   Sorts and classifies objects    D   Recognizes the elements in
       common attributes (1.3.3)             according to their                   the union and
                                             attributes and organizes             intersections of sets
                                             the data about the objects           represented by Venn
                                             (2.3.1)                              diagrams (3.3.4)

  I   Identifies different parts of a   D   Identifies different parts of   D   Identifies different parts of a
       graph                                  a graph                             graph (3.3.1)


  D   Identifies and displays           D   Displays and interprets         D   Displays and interprets
       various forms of data in              graphs with symbols or              graphs with symbols or
       their world using charts              pictures that represent             pictures that represent
       and graphs (1.3.1)                    more than one object or             more than one object or
                                             event                               event       (3.3.2)

                                        I   Demonstrates that data can      D   Chooses best graph for a
                                             be represented in more              given set of data
                                             than one way (2.3.2)




Grade 2 Page 34                   I=Introduce          D= Develop (with assistance)             M=Mastery
Grade 2
Standard 3: Students use data collection and analysis techniques, statistical methods,
   and probability to solve problems.
Benchmark 3.2.1: Collects, reads, displays, and interprets data using appropriate techniques
      To meet this benchmark,            Level    Vocabulary                  Suggested Activities
             the student …                                                    Resources or Tools
Sorts and classifies objects according    D      Venn diagram   Attribute blocks
 to their attributes and organizes the           graph          Class/school wide graphing activities
 data about the objects (2.3.1)                  attribute
                                                 table
                                                 common
Identifies different parts of a graph     D      title          Graph the same data in a variety of ways.
                                                 key/legend     Math notebooks/journals
                                                 grid box       Flash cards
                                                 data
Displays and interprets graphs with       D      tally chart    Survey class and construct a class graph.
 symbols or pictures that represent              tally mark
 more than one object or event                   bar graph
                                                 pictograph
                                                 line graph
                                                 circle graph
Demonstrates that data can be              I     data
 represented in more than one way                tally chart
 (2.3.2)                                         tally mark
                                                 bar graph
                                                 pictograph
                                                 line graph
                                                 circle graph



I=Introduce              D= Develop (with assistance)           M=Mastery                     Grade 2 Page 35
Grade 2
Standard 3: Students use data collection and analysis techniques, statistical methods,
    and probability to solve problems.
Benchmark 3.2.2: Formulates and solves problems that involve data

  1    To meet this benchmark,          2       To meet this benchmark,     3     To meet this benchmark,
        a Grade 1 student …                      a Grade 2 student …               a Grade 3 student …
  D   Discusses and interprets         M    Discusses and interprets
       patterns in daily events              patterns in daily events




  D   Reads and interprets tally        D   Formulates and answers          D   Solves problems based on
       charts and picture graphs             simple questions from               data displayed on a graph
       as sources of information             data represented by                 (3.3.3)
       (1.3.2)                               graphs (2.3.3)




Grade 2 Page 36                   I=Introduce          D= Develop (with assistance)           M=Mastery
Grade 2
Standard 3: Students use data collection and analysis techniques, statistical methods,
   and probability to solve problems.
Benchmark 3.2.2: Formulates and solves problems that involve data

      To meet this benchmark,          Level   Vocabulary                 Suggested Activities
          the student . . .                                               Resources or Tools
Discusses and interprets patterns in     M     patterns     Calendar
 daily events                                  increasing   Theme units
                                               decreasing
                                               repeating




Formulates and answers simple            D     data         Estimation jars
 questions from data represented by            formulates   Tally charts
 graphs (2.3.3)                                             Picture graphs




I=Introduce             D= Develop (with assistance)         M=Mastery                    Grade 2 Page 37
Grade 2
Standard 3: Students use data collection and analysis techniques, statistical methods,
    and probability to solve problems.
Benchmark 3.2.3: Draws conclusions and makes predictions based on probability from collected
    data

  1    To meet this benchmark,       2       To meet this benchmark,     3     To meet this benchmark,
        a Grade 1 student …                   a Grade 2 student …               a Grade 3 student …
  D   Explores concepts of likely    D   Describes the likelihood of     D   Determines which outcomes
        and unlikely                      an event (2.3.5)                    are most likely to occur in
                                                                              certain situations (3.3.6)




                                     I   Records results of activities   D   Uses a simple probability
                                          involving chance and                experiment to collect and
                                          makes reasonable                    display data on a graph,
                                          predictions based upon              and interpret the
                                          data (2.3.4)                        likelihood of the outcome
                                                                              (3.3.5)




Grade 2 Page 38                I=Introduce          D= Develop (with assistance)           M=Mastery
Grade 2
Standard 3: Students use data collection and analysis techniques, statistical methods,
   and probability to solve problems.
Benchmark 3.2.3: Draws conclusions and makes predictions based on probability from collected
   data

      To meet this benchmark,             Level   Vocabulary                  Suggested Activities
          the student . . .                                                   Resources or Tools
Describes the likelihood of an event       D      probability   Cloudy/it may rain
 (2.3.5)                                          predictions   Coin toss
                                                  analyze       Bag draw
                                                                Card draw
                                                                Roll dice
                                                                Spinners
                                                                AIMS math activities


Records results of activities involving     I     probability   Coin flips
 chance and makes reasonable                                    Dice rolls
 predictions based upon data (2.3.4)                            Draw colors out of a bag
                                                                Spinners
                                                                AIMS math activities




I=Introduce             D= Develop (with assistance)             M=Mastery                    Grade 2 Page 39
Grade 2
Standard 3: Students use data collection and analysis techniques, statistical methods,
    and probability to solve problems.
Benchmark 3.2.4: Uses technology and materials as tools to display data

  1    To meet this benchmark,     2       To meet this benchmark,     3     To meet this benchmark,
        a Grade 1 student …                 a Grade 2 student …               a Grade 3 student …
  D   Constructs own graph         D   Constructs own graph            D   Constructs own graph




Grade 2 Page 40              I=Introduce          D= Develop (with assistance)          M=Mastery
Grade 2
Standard 3: Students use data collection and analysis techniques, statistical methods,
    and probability to solve problems.
Benchmark 3.2.4: Uses technology and materials as tools to display data

     To meet this benchmark,          Level   Vocabulary                Suggested Activities
         the student . . .                                              Resources or Tools
Constructs own graph                    D                  Graph It (MPS computer program)
                                                           Graph Master (MPS computer program)




I=Introduce            D= Develop (with assistance)         M=Mastery                   Grade 2 Page 41
Grade 2
Standard 4: Students use concepts and tools of measurement to describe and quantify
    the world.
Benchmark 4.2.1: Uses the appropriate concepts, measurement units, and tools to estimate
    and/or solve problems

  1    To meet this benchmark,       2   To meet this benchmark,       3    To meet this benchmark,
         a Grade 1 student …               a Grade 2 student …               a Grade 3 student …
  D   Compares and orders            D   Compares and orders           M   Compares and orders
        objects according to their        objects according to their         objects according to their
        length and weight using           length and weight using            length and weight using
        –er and -est                      –er and -est                       –er and –est




  I   Recognizes and uses            D   Selects the appropriate       D   Selects the appropriate tools
        various kinds of rulers,           tools and units for                and units for measuring
        scales, clocks, calendars,         measuring time, length,            time, length, weight,
        and thermometers (1.4.9)           weight and temperature             capacity and temperature
                                           (2.4.11)                           (3.4.8)




Grade 2 Page 42                I=Introduce       D= Develop (with assistance)             M=Mastery
Grade 2
Standard 4: Students use concepts and tools of measurement to describe and quantify
    the world.
Benchmark 4.2.1: Uses the appropriate concepts, measurement units, and tools to estimate
    and/or solve problems
     To meet this benchmark,              Level          Vocabulary              Suggested Activities
           the student …                                                         Resources or Tools
Compares and orders objects                D      -er         length
 according to their length and weight             -est        weight
 using –er and -est
                                                  tall/short
                                                  large/small
                                                  heavy/light
                                                  thin/thick/width
                                                  empty/full
Selects the appropriate tools and units    D      hour        yard     Hands on activities
  for measuring time, length, weight,             minute      ounce    AIMS math activities
  and temperature (2.4.11)                        ruler       pound    Box It and Bag It
                                                  scale       degree
                                                  inch
                                                  foot
                                                  yardstick
                                                  meter stick
                                                  analog clock
                                                  digital clock
                                                  balance scale
                                                  thermometer



I=Introduce             D= Develop (with assistance)              M=Mastery                   Grade 2 Page 43
Grade 2
Standard 4: Students use concepts and tools of measurement to describe and quantify
    the world.
Benchmark 4.2.1: Uses the appropriate concepts, measurement units, and tools to estimate
    and/or solve problems (cont.)

  1    To meet this benchmark,    2    To meet this benchmark,     3    To meet this benchmark,
        a Grade 1 student …              a Grade 2 student …              a Grade 3 student …
                                  I   Identifies the approximate   D   Identifies the approximate
                                        size of basic units              size of basic units
                                        (2.4.10)




Grade 2 Page 44             I=Introduce       D= Develop (with assistance)          M=Mastery
Grade 2
Standard 4: Students use concepts and tools of measurement to describe and quantify
    the world.
Benchmark 4.2.1: Uses the appropriate concepts, measurement units, and tools to estimate
    and/or solve problems (cont.)

      To meet this benchmark,          Level       Vocabulary              Suggested Activities
             the student …                                                 Resources or Tools
Identifies the approximate size of        I    inch             Width of finger is about one centimeter,
  basic units                                  foot             Large soda bottle is one liter
  (2.4.10)                                     yard             Paper clip weighs one gram
                                               centimeter
                                               meter
                                               gram




I=Introduce             D= Develop (with assistance)        M=Mastery                   Grade 2 Page 45
Grade 2
Standard 4: Students use concepts and tools of measurement to describe and quantify
    the world.
Benchmark 4.2.2: Uses estimation strategies in working with quantities and measurement
    computation

  1    To meet this benchmark,      2   To meet this benchmark,       3    To meet this benchmark,
         a Grade 1 student …              a Grade 2 student …                a Grade 3 student …
  D   Estimates and verifies a      D   Estimates and verifies a      D   Estimates and verifies a
        quantity                          quantity (2.4.8)                  quantity



  D   Estimates and verifies by     D   Estimates and verifies by     D   Estimates and verifies by
        measuring length, weight,         measuring length,                 measuring length, weight,
        or capacity using non-            weight, or capacity using         or capacity using non-
        standard units (1.4.3)            non-standard units                standard units



  I   Estimates and verifies by     D   Estimates and measures        D   Estimates and measures
        measuring length to the           length to the nearest             length to the nearest half
        nearest inch, foot, or            inch, half inch, foot, or         inch or centimeter (3.4.5)
        centimeter (1.4.4)                centimeter (2.4.7)




Grade 2 Page 46               I=Introduce        D= Develop (with assistance)            M=Mastery
Grade 2
Standard 4: Students use concepts and tools of measurement to describe and quantify
    the world.
Benchmark 4.2.2: Uses estimation strategies in working with quantities and measurement
    computation

      To meet this benchmark,          Level      Vocabulary                   Suggested Activities
          the student . . .                                                    Resources or Tools
Estimates and verifies a quantity        D     Guess and check     Marbles in a jar
  (2.4.8)                                      quantity            Use a variety of estimation jars




Estimates and verifies by measuring      D     non-standard unit   AIMS math activities
  length, weight, or capacity using            measure             Box It and Bag It
  non-standard units                           length              Science activities
                                               weight
                                               capacity


Estimates and measures length to the     D     ruler               Use rulers to measure
  nearest inch, half inch, foot, or            inch
  centimeter (2.4.7)                           foot
                                               centimeter




I=Introduce             D= Develop (with assistance)           M=Mastery                      Grade 2 Page 47
Grade 2
Standard 4: Students use concepts and tools of measurement to describe and quantify
    the world.
Benchmark 4.2.2: Uses estimation strategies in working with quantities and measurement
    computation (cont.)

  1    To meet this benchmark,    2   To meet this benchmark,      3    To meet this benchmark,
        a Grade 1 student …             a Grade 2 student …               a Grade 3 student …
                                  I   Estimates and measures       D   Estimates and measures
                                        weight/mass to the               weight/mass to the nearest
                                        nearest pound or                 pound or kilogram
                                        kilogram (2.4.5)



                                  I   Estimates and measures       D   Estimates and measures
                                        capacity/volume to the           capacity/volume to the
                                        nearest cup or liter             nearest cup or liter
                                        (2.4.6)


                                                                   I   Estimates and measures
                                                                         perimeter, area, and
                                                                         volume (3.4.7)




Grade 2 Page 48             I=Introduce       D= Develop (with assistance)           M=Mastery
Grade 2
Standard 4: Students use concepts and tools of measurement to describe and quantify
    the world.
Benchmark 4.2.2: Uses estimation strategies in working with quantities and measurement
    computation (cont.)

      To meet this benchmark,          Level     Vocabulary                  Suggested Activities
            the student . . .                                                Resources or Tools
Estimates and measures weight/mass       I     weight            Science activities
  to the nearest pound or kilogram             mass
  (2.4.5)                                      pound
                                               kilogram




Estimates and measures                   I     cup               Power solids
  capacity/volume to the nearest cup           liter
  or liter (2.4.6)                             volume




I=Introduce            D= Develop (with assistance)           M=Mastery                   Grade 2 Page 49
Grade 2
Standard 4: Students use concepts and tools of measurement to describe and quantify
    the world.
Benchmark 4.2.3: Knows and uses units of time, money, and temperature

  1    To meet this benchmark,          2       To meet this benchmark,     3     To meet this benchmark,
        a Grade 1 student …                      a Grade 2 student …               a Grade 3 student …
  D   Relates calendar and              D   Relates calendar and            D   Relates calendar and
        weather to everyday life              weather to everyday life           weather to everyday life
        and our environment                   and our environment                and our environment




 M    Orders pictures first, next,
        and last based on time




  D   Understands what’s               M    Understands what’s
       occurring before, now,                occurring before, now,
       and after in relation to              and after in relation to
       classroom routine                     classroom routine




Grade 2 Page 50                   I=Introduce          D= Develop (with assistance)           M=Mastery
Grade 2
Standard 4: Students use concepts and tools of measurement to describe and quantify
    the world.
Benchmark 4.2.3: Knows and uses units of time, money, and temperature

      To meet this benchmark,          Level      Vocabulary                 Suggested Activities
            the student . . .                                                Resources or Tools
Relates calendar and weather to         D      night    week      Calendar
  everyday life and our environment            today    month     Weather Bear
                                               year               Graphs
                                               weather            Use a thermometer to measure temperatures
                                               calendar             several times and graph the change.
                                               morning
                                               seasons
                                               afternoon
                                               yesterday
                                               tomorrow
                                               before/after
                                               environment
Understands what’s occurring before,    M      before             Use picture schedules
 now, and after in relation to                 future             Calendar
 classroom routine                             after              Use a clock with pictures
                                               past
                                               between
                                               present
                                               now




I=Introduce            D= Develop (with assistance)            M=Mastery                      Grade 2 Page 51
Grade 2
Standard 4: Students use concepts and tools of measurement to describe and quantify
    the world.
Benchmark 4.2.3: Knows and uses units of time, money, and temperature (cont.)

 1    To meet this benchmark,         2    To meet this benchmark,      3     To meet this benchmark,
       a Grade 1 student …                  a Grade 2 student …                a Grade 3 student …
 D   Sequences events with            M    Sequences events with
       respect to time (1.4.8)               respect to time



 D   Names the days of the week       M    Distinguishes between
      in order                               week days and week-end
                                             days (2.4.2)


 D   Uses the days of the week to     M    Uses the days of the week
      show knowledge of                     to show knowledge of
      yesterday, today, and                 yesterday, today, and
      tomorrow (1.4.1)                      tomorrow (1.4.1)

 D   Names the months of the          M    Recalls the months of the
      year in order                         year in order (2.4.3)




Grade 2 Page 52                  I=Introduce        D= Develop (with assistance)          M=Mastery
Grade 2
Standard 4: Students use concepts and tools of measurement to describe and quantify
    the world.
Benchmark 4.2.3: Knows and uses units of time, money, and temperature (cont.)

     To meet this benchmark,            Level     Vocabulary                 Suggested Activities
         the student . . .                                                   Resources or Tools
Sequences events with respect to time    M      yesterday         Calendar
                                                today
                                                tomorrow
                                                seasons


Distinguishes between week days and      M      week-end          Songs
  week-end days (2.4.2)                                           Calendar


Uses the days of the week to show        M                        Calendar
 knowledge of yesterday, today, and                               Graphs
 tomorrow


Recalls the months of the year in        M                        Songs
  order (2.4.3)                                                   Calendar
                                                                  Graphs




I=Introduce             D= Develop (with assistance)           M=Mastery                  Grade 2 Page 53
Grade 2
Standard 4: Students use concepts and tools of measurement to describe and quantify
    the world.
Benchmark 4.2.3: Knows and uses units of time, money, and temperature (cont.)

  1    To meet this benchmark,        2       To meet this benchmark,     3     To meet this benchmark,
        a Grade 1 student …                    a Grade 2 student …               a Grade 3 student …
  D   Identifies parts of an analog   M   Identifies parts of an
        clock                               analog clock




  D   Tells time to the hour and      D   Tells time to the nearest      M    Tells time to the nearest
        half hour using analog              quarter hour and five               minute using digital and
        and digital clocks (1.4.2)          minute intervals using              analog clocks (3.4.1)
                                            digital and analog clocks
                                            (2.4.1)



                                                                          I   Determines elapsed time by
                                                                               the hour (3.4.2)




Grade 2 Page 54                 I=Introduce          D= Develop (with assistance)           M=Mastery
Grade 2
Standard 4: Students use concepts and tools of measurement to describe and quantify
    the world.
Benchmark 4.2.3: Knows and uses units of time, money, and temperature (cont.)

      To meet this benchmark,            Level      Vocabulary                 Suggested Activities
          the student . . .                                                    Resources or Tools
Identifies parts of an analog clock       M      analog clock       Math notebooks/journals
                                                 face               Vocabulary cards
                                                 hour hand
                                                 minute hand
                                                 numerals


Tells time to the nearest quarter hour    D      digital clock      Paper plates (yellow/blue)
  and five minute intervals using                hour               Cereal/Fruit Loops
  digital and analog clocks (2.4.1)              half hour
                                                 quarter hour
                                                 interval
                                                 o’clock
                                                 morning/am
                                                 afternoon/pm




I=Introduce             D= Develop (with assistance)             M=Mastery                       Grade 2 Page 55
Grade 2
Standard 4: Students use concepts and tools of measurement to describe and quantify
    the world.
Benchmark 4.2.3: Knows and uses units of time, money, and temperature (cont.)

  1    To meet this benchmark,        2       To meet this benchmark,      3    To meet this benchmark,
        a Grade 1 student …                    a Grade 2 student …               a Grade 3 student …
  D   Identifies a penny, nickel,     D   Identifies a penny, nickel,      M   Identifies a penny, nickel,
        dime and quarter and                dime, and quarter and                dime, and quarter and
        states the value of each            states the value of each             states the value of each
        using the cent sign (1.4.5)         using the cent sign                  using the cent sign
  I   Counts a like set of pennies,   D   Counts mixed coins to one        D   Counts coins and bills to ten
       nickels, dimes, and                 dollar using the dollar              dollars     (3.4.3)
       quarters to $1.00                   and cent signs (2.4.4;
       (1.4.6)                             2.4.12)


  I   Demonstrates that different     D       Demonstrates that            D   Demonstrates that different
       combinations of coins                   different combinations of        combinations of coins
       have the same value                     coins have the same              have the same value
       (1.4.7)                                 value

                                      I   Explores decimals using          D   Explores decimals using
                                            money                                money




Grade 2 Page 56                 I=Introduce          D= Develop (with assistance)             M=Mastery
Grade 2
Standard 4: Students use concepts and tools of measurement to describe and quantify
    the world.
Benchmark 4.2.3: Knows and uses units of time, money, and temperature (cont.)

      To meet this benchmark,            Level     Vocabulary                Suggested Activities
          the student . . .                                                  Resources or Tools
Identifies a penny, nickel, dime, and     D      penny           Math notebooks/journals
  quarter and states the value of each           nickel          Word Cards
  using the cent sign                            dime            Use realistic play money
                                                 quarter         Bulletin boards
                                                 coin
                                                 cent (¢)
                                                 value

Counts mixed coins to one dollar          D      dollar ($)      Use realistic play money
 using the dollar and cent signs                 decimal         Set up a classroom store
 (2.4.4; 2.4.12)                                                 Box It and Bag It

Demonstrates that different               D      equivalent      Set up a classroom store
 combinations of coins have the                                  Box It and Bag It
 same value

Explores decimals using money              I     decimal         25¢=$.25




I=Introduce             D= Develop (with assistance)            M=Mastery                   Grade 2 Page 57
Grade 2
Standard 4: Students use concepts and tools of measurement to describe and quantify
    the world.
Benchmark 4.2.3: Knows and uses units of time, money, and temperature (cont.)

  1    To meet this benchmark,    2       To meet this benchmark,     3     To meet this benchmark,
        a Grade 1 student …                a Grade 2 student …               a Grade 3 student …
                                  I   Reads and measures              D   Reads and measures
                                        temperature with a                  temperature with a
                                        thermometer using                   thermometer using
                                        Fahrenheit                          Fahrenheit and Celsius
                                                                            scales (3.4.4)


                                  I   Compares and orders             D   Compares and orders
                                       lengths, capacities,                lengths, capacities,
                                       weights, or temperatures            weights, or temperatures
                                       that are expressed in the           that are expressed in the
                                       same unit of measure                same unit of measure
                                       (2.4.9)

                                                                      I   States the specific
                                                                            relationships between
                                                                            units within the same
                                                                            measuring system
                                                                            (3.4.6)




Grade 2 Page 58             I=Introduce          D= Develop (with assistance)           M=Mastery
Grade 2
Standard 4: Students use concepts and tools of measurement to describe and quantify
    the world.
Benchmark 4.2.3: Knows and uses units of time, money, and temperature (cont.)

     To meet this benchmark,            Level    Vocabulary                  Suggested Activities
         the student . . .                                                   Resources or Tools
Reads and measures temperature with       I     Fahrenheit       Use a classroom thermometer
  a thermometer using Fahrenheit                degree




Compares and orders lengths,              I     length           Science activities
 capacities, weights, or temperatures           capacity         AIMS math activities
 that are expressed in the same unit            volume           Box It and Bag It
 of measure (2.4.9)                             weight
                                                temperature
                                                metric system
                                                customary
                                                  system




I=Introduce            D= Develop (with assistance)             M=Mastery                  Grade 2 Page 59
Grade 2
Standard 4: Students use concepts and tools of measurement to describe and quantify
    the world.
Benchmark 4.2.3: Knows and uses units of time, money, and temperature (cont.)

  1    To meet this benchmark,       2       To meet this benchmark,     3     To meet this benchmark,
        a Grade 1 student …                   a Grade 2 student …               a Grade 3 student …
  I   Recognizes that all            D   Recognizes that all             D   Recognizes that all
        measurement is                     measurement is                      measurement is
        approximate                        approximate                         approximate




  I   Estimates frequently to gain   D   Estimates frequently to         D   Estimates frequently to gain
        basic knowledge of                 gain basic knowledge of             basic knowledge of
        measurement systems                measurement systems                 measurement systems




Grade 2 Page 60                I=Introduce          D= Develop (with assistance)           M=Mastery
Grade 2
Standard 4: Students use concepts and tools of measurement to describe and quantify
    the world.
Benchmark 4.2.3: Knows and uses units of time, money, and temperature (cont.)

     To meet this benchmark,           Level     Vocabulary                Suggested Activities
         the student . . .                                                 Resources or Tools
Recognizes that all measurement is       D     approximate
  approximate                                  about




Estimates frequently to gain basic       D     frequently      Box It and Bag It
  knowledge of measurement                     often           AIMS math activities
  systems                                      metric
                                               customary




I=Introduce             D= Develop (with assistance)          M=Mastery                  Grade 2 Page 61
Grade 2
Standard 4: Students use concepts and tools of measurement to describe and quantify
    the world.
Benchmark 4.2.4: Uses formulas and procedures to solve problems involving measurement

  1    To meet this benchmark,        2       To meet this benchmark,     3    To meet this benchmark,
        a Grade 1 student …                    a Grade 2 student …              a Grade 3 student …
      No expectations at this level       No expectations at this level       No expectations at this level




Grade 2 Page 62                 I=Introduce         D= Develop (with assistance)             M=Mastery
Grade 2
Standard 4: Students use concepts and tools of measurement to describe and quantify
    the world.
Benchmark 4.2.4: Uses formulas and procedures to solve problems involving measurement

      To meet this benchmark,          Level   Vocabulary               Suggested Activities
          the student . . .                                             Resources or Tools
No expectations at this level




I=Introduce             D= Develop (with assistance)        M=Mastery                   Grade 2 Page 63
Grade 2
Standard 5: Students use algebraic concepts, functions, patterns, and relationships to
   solve problems.
Benchmark 5.2.1: Represents and describes mathematical relationships using symbols or
   variables

  1    To meet this benchmark,      2   To meet this benchmark,      3    To meet this benchmark,
         a Grade 1 student …              a Grade 2 student …               a Grade 3 student …
  I   Uses symbols to write         D   Uses symbols to write        D   Uses symbols to write
        simple number sentences           simple number sentences          simple number sentences
                                          (2.5.4)                          (3.5.5)




  I   Uses words and objects to     D   Uses words, objects and      D   Uses words, objects, and
        represent addition and            number sentences to             number sentences to
        subtraction problems              represent addition and          represent addition and
                                          subtraction problems            subtraction problems
                                          (2.5.5)




Grade 2 Page 64               I=Introduce       D= Develop (with assistance)           M=Mastery
Grade 2
Standard 5: Students use algebraic concepts, functions, patterns, and relationships to
   solve problems.
Benchmark 5.2.1: Represents and describes mathematical relationships using symbols or
   variables

     To meet this benchmark,            Level     Vocabulary                 Suggested Activities
          the student . . .                                                  Resources or Tools
Uses symbols to write simple number      D      add +
  sentences (2.5.4)                             subtract –
                                                equal =
                                                greater than >
                                                less than <
                                                number sentence




Uses words, objects, and number          D                        Write a mathematical sentence and create a
  sentences to represent addition and                                story problem (3+4=7)
  subtraction problems (2.5.5)                                    Write a mathematical sentence for a story
                                                                      problem


.




I=Introduce            D= Develop (with assistance)            M=Mastery                    Grade 2 Page 65
Grade 2
Standard 5: Students use algebraic concepts, functions, patterns, and relationships to
   solve problems.
Benchmark 5.2.2: Solves problems with unknown variables

  1    To meet this benchmark,        2       To meet this benchmark,     3     To meet this benchmark,
        a Grade 1 student …                    a Grade 2 student …               a Grade 3 student …
  I   Solves addition and             D   Solves addition and             D   Solves addition, subtraction,
        subtraction equations               subtraction equations               multiplication, and
        with variables                      with unknown numbers                division equations with
                                            (variables) (2.5.3)                 unknown numbers
                                                                                (variables) (3.5.4)




Grade 2 Page 66                 I=Introduce          D= Develop (with assistance)            M=Mastery
Grade 2
Standard 5: Students use algebraic concepts, functions, patterns, and relationships to
   solve problems.
Benchmark 5.2.2: Solves problems with unknown variables

     To meet this benchmark,        Level   Vocabulary                 Suggested Activities
         the student . . .                                             Resources or Tools
Solves addition and subtraction       D     variables    Hands On Equations
  equations with unknown numbers            equation     Missing addends using a variety of symbols to
  (variables) (2.5.3)                                       represent the variable (?, x, n)
                                                         Otter Creek Institute class




I=Introduce          D= Develop (with assistance)         M=Mastery                     Grade 2 Page 67
Grade 2
Standard 5: Students use algebraic concepts, functions, patterns, and relationships to
   solve problems.
Benchmark 5.2.3: Finds, represents, describes, and analyzes patterns, functions, and
   relationships

  1    To meet this benchmark,       2    To meet this benchmark,       3    To meet this benchmark,
          a Grade 1 student …              a Grade 2 student …                 a Grade 3 student …
  D   Identifies, sorts, and         D   Identifies, sorts, and         M   Identifies, sorts, and
        classifies objects by 2 or         classifies objects by 2 or         classifies objects by 2 or
        more attributes (1.5.1)            more attributes                    more attributes

  D   Recognizes, extends, creates   D   Extends and creates            D   Determines the missing
       and describes patterns              number patterns (2.5.1)            element of a pattern of
       (1.5.2)                                                                multiples (3.5.3)

  I   Demonstrates the               D   Demonstrates the                   Found in Standard 1
       commutative property for           commutative property for
       addition (1.5.3)                   addition


                                     I   States the rule that           D   States the rule that describes
                                           describes a given                  given repeating and
                                           repeating and growing              growing pattern to solve
                                           pattern (2.5.2)                    problems. (3.5.1;3.5.2)




Grade 2 Page 68                I=Introduce        D= Develop (with assistance)             M=Mastery
Standard 5: Students use algebraic concepts, functions, patterns, and relationships to
   solve problems.
Benchmark 5.2.3: Finds represents, describes, and analyzes patterns, functions, and
   relationships

      To meet this benchmark,               Level    Vocabulary                       Suggested Activities
          the student . . .                                                           Resources or Tools
Identifies, sorts, and classifies objects    D      attribute         Manipulatives
  by 2 or more attributes                           classify          Junk Box
                                                    sort              M&M’s
                                                    similar           Attribute blocks
                                                    different
                                                    same/alike
Extends and creates number patterns          D      pattern           Manipulatives
  (2.5.1)                                           increasing        Junk Box
                                                    decreasing        M&M’s
                                                    repeating


Demonstrates the commutative                 D      order property    Fact families
 property for addition                              commutative
                                                    property
States the rule that describes a given        I                       Patterning examples
repeating and growing pattern                                             2, 4, 6, ___, ___, ____
  (2.5.2)                                                                 7, 14, 21, ____, ____, ____




I=Introduce               D= Develop (with assistance)               M=Mastery                       Grade 2 Page 69

								
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