CURRICULUM MAPPING - DOC

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							                                                         CURRICULUM MAPPING
                                                            Fifth Grade Math


    Essential Questions                Content                     Skills                    Assessment    Standards & Assessment Anchor

NUMBER AND
NUMERATION

What skills do I need to      Place Value and Notation   * Read and write whole       * White boards       2.1.5.A
understand the meanings,                                 numbers and decimals;                             M5.A.1.1.1
uses and representations of                              identify place value and     * Oral practice      M5.A.1.2.1
numbers?                                                 the values of the digits                          M5.A.1.2.2
                                                         in those places (trillions   * Daily practice     5.NBT.1
                                                         to thousandths)                                   5.NBT.2
                                                                                      * Journal pages      5.NBT.3
                                                         * Use expanded
                                                         notation to represent        * Mathboxes
                                                         whole numbers and
                                                         decimals (millions to        * Unit assessments
                                                         thousandths)
                                                                                      * Marking period
                                                         * Uses exponential           assessments
                                                         notation for square
                                                         numbers                      * Open-ended math
                                                                                      problems

                                                                                      * 4-Sight testing




Page 1
                                                  CURRICULUM MAPPING
                                                     Fifth Grade Math


    Essential Questions            Content                 Skills          Assessment   Standards & Assessment Anchor
                           Number Theory          *Identify prime and                   2.1.5.E
                                                  composite numbers                     2.1.5.G
                                                                                        M5.A.1.6.1
                                                  * Identify the                        M5.A.1.6.2
                                                  factors/multiples of a
                                                  number

                                                  * Finds the prime
                                                  factorization of a
                                                  number

What skills do I need to   Equivalent Names for   *Converts between                     2.1.5.A
understand equivalent      Whole Numbers          exponential , expanded                M5.A.1.1.1
names for numbers?                                and standard notation




Page 2
                                                      CURRICULUM MAPPING
                                                         Fifth Grade Math


    Essential Questions              Content                    Skills           Assessment   Standards & Assessment Anchor
                           Equivalent Names for       * Converts between
                           Fractions, Decimals, and   mixed numbers and
                           Percents                   fractions

                                                      * Finds equivalent
                                                      fractions

                                                      * Renames fractions in
                                                      simplest form

                                                      * Converts between
                                                      fractions, decimals, and
                                                      percents

What skills do I need to   Comparing and Ordering     * Uses models to                        2.1.5.B
understand common          Numbers                    represent fractions                     2.1.5.C
numerical relations?                                  and/or mixed numbers                    2.1.5.D
                                                      * Compares and orders                   2.11.5.A
                                                      fractions and mixed                     M5.A.1.5.1
                                                      numbers (with unlike                    M5.A.1.3.1
                                                      denominators)                           M5.A.1.3.2
                                                      * Compares and orders                   M5.A.1.3.3
                                                      decimals                                5.NBT.3
                                                      * Compares and orders
                                                      signed numbers


Page 3
                                                         CURRICULUM MAPPING
                                                            Fifth Grade Math


  Essential Questions               Content                       Skills            Assessment   Standards & Assessment Anchor
OPERATIONS AND
COMPUTATION

What skills do I need to   Addition and Subtraction      * Uses a variety of                     2.2.5.A
compute accurately?        Procedures                    algorithms to add and                   2.2.5.B
                                                         subtract whole                          2.2.5.I
                                                         numbers, decimals and                   2.1.5.F
                                                         signed numbers                          M5.A.2.1.1
                                                                                                 M5.A.1.4.1
                                                         * Uses simple                           M5.A.1.4.2
                                                         applications of negative                M5.A.3.2.1
                                                         numbers                                 5.NBT.7

                           Multiplication and Division   * Solves basic                          2.2.5.H
                           Facts                         multiplication and                      2.2.5.A
                                                         division facts                          2.2.5.B
                                                                                                 2.2.5.I
                           Multiplication and Division   * Uses a variety of                     2.1.5.F
                           Procedures                    algorithms to multiply                  M5.A.2.1.1
                                                         and divide whole                        M5.A.3.2.1
                                                         numbers and decimals                    5.NBT.5
                                                                                                 5.NBT.6
                                                         * Express remainders as                 5.NBT.7
                                                         whole numbers,
                                                         fractions, or decimals


Page 4
                                                       CURRICULUM MAPPING
                                                          Fifth Grade Math


   Essential Questions             Content                       Skills           Assessment   Standards & Assessment Anchor
                         Procedures for Addition       * Uses algorithms to                    2.2.5.C
                         and Subtraction of            add and subtract                        M5.A.2.1.2
                         Fractions                     fractions and mixed                     5.NF.1
                                                       numbers with like and                   5.NF.2
                                                       unlike denominator                      5.NF.3
                                                                                               5.NF.4
                         Procedures for                * Uses algorithms and                   5.NF.5
                         multiplication and division   calculators to solve                    5.NF.6
                         of fractions                  problems involving the                  5.NF.7
                                                       multiplication of
                                                       fractions and mixed
                                                       numbers

                                                       * Uses a common-
                                                       denominator method
                                                       and calculators to solve
                                                       problems involving the
                                                       division of fractions




Page 5
                                                       CURRICULUM MAPPING
                                                          Fifth Grade Math


    Essential Questions            Content                       Skills           Assessment   Standards & Assessment Anchor
                           Computational Estimation    * Makes reasonable                      2.2.5.D
                                                       estimates for whole                     2.2.5.E
                                                       number and decimal                      2.2.5.G
                                                       addition, subtraction,                  M5.A.3.1.1
                                                       multiplication, and                     M5.A.3.1.2
                                                       division problems                       5.NBT.4

                                                       * Makes reasonable
                                                       estimates for fraction
                                                       and mixed number
                                                       addition and subtraction
                                                       problems

                                                       * Rounds whole
                                                       numbers through
                                                       millions and decimals
                                                       through hundredths

What skills do I need to   Models for the Operations   * Uses an array model
understand meanings of                                 for multiplication
operations?
                                                       * Uses fractions to
                                                       represent ratios




Page 6
                                                     CURRICULUM MAPPING
                                                        Fifth Grade Math


  Essential Questions                   Content                Skills             Assessment   Standards & Assessment Anchor
DATA AND CHANCE

What skills do I need to       Data Collection and   * Collect and organize                    2.6.5.A
select and create              Representation        data or use given data                    M5.E.1.1.1
appropriate graphical                                to create bar, line, and                  5.MD.2
representations of collected                         circle graphs with
or given data?                                       reasonable titles, labels,
                                                     keys, and intervals

                                                     * Describes a percent of
                                                     a region

What skills do I need to       Data Analysis         * Finds the statistical                   2.6.5.B
analyze and interpret data?                          landmarks of a set of                     M5.E.2.1.1
                                                     data (the mean, median,                   M5.E.2.1.2
                                                     mode, maximum,
                                                     minimum and range)

                                                     * Answers questions,
                                                     draws conclusions, and
                                                     makes predictions
                                                     about tables and graphs



Page 7
                                                        CURRICULUM MAPPING
                                                           Fifth Grade Math


    Essential Questions                Content                   Skills            Assessment   Standards & Assessment Anchor
What skills do I need to     Qualitative Probability    * Describe and compare                  2.7.5.E
understand and apply basic                              events using probability                2.7.5.H
concepts of probability?                                terms                                   2.7.5.J
                                                                                                M5.E.3.1.1
                             Quantitative Probability   * Predicts the                          M5.E.3.1.2
                                                        probability of chance
                                                        events and expresses it
                                                        as a fraction, decimal,
                                                        or percent

                                                        * Determines possible
                                                        combinations




Page 8
                                                        CURRICULUM MAPPING
                                                           Fifth Grade Math


   Essential Questions                Content                    Skills            Assessment   Standards & Assessment Anchor
MEASUREMENT AND
REFERENCE FRAMES

What skills do I need to     Length, Weight, and        * Estimates length with                 2.3.5.A
understand the systems and   Angles                     and without tools                       2.3.5.B
processes of measurement?                                                                       M5.B.1.1.1
                                                        * Measures length to                    M5.B.2.1.1
                                                        the nearest 1/16 inch
                                                        and millimeter

                                                        * Uses tools to measure
                                                        and draw angles

                             Area, Perimeter, Volume,   * Finds the perimeter of                2.11.5.E
                             and Capacity               polygons                                2.3.5.A
                                                                                                2.3.5.B
                                                        * Finds the diameter                    2.3.5.C
                                                        and radius of a circle                  M5.B.1.3.1
                                                                                                M5.1.3.2
                                                        * Finds the area and                    M5.B.2.2.1
                                                        circumference of a                      M5.B.2.2.2
                                                        circle




Page 9
                                                      CURRICULUM MAPPING
                                                         Fifth Grade Math


    Essential Questions                 Content                 Skills          Assessment   Standards & Assessment Anchor
                                                      * Uses formulas to find
                                                      areas of rectangles,
                                                      parallelograms, and
                                                      triangles

                                                      * Uses a formula to                    5.MD.3
                                                      find the volume of                     5.MD.4
                                                      prisms and cylinders                   5.MD.5

                               Units and Systems of   * Converts                             2.3.5.A
                               Measurement            measurements using                     2.3.5.D
                                                      linear measurement,                    2.3.5.E
                                                      capacity and weight                    M5.B.2.2.3
                                                      within the same system                 M5.B.1.2.1
                                                      (customary and metric)                 M5.B.1.2.2
                                                                                             5.MD.1
                                                      * Adds or subtracts
                                                      linear measurement
                                                      (feet/inches), weight
                                                      (pounds/ounces),
                                                      capacity or units of
                                                      time

What skills do I need to use   Time                   * Solves elapsed time
and understand reference                              problems
frames?

Page 10
                                              CURRICULUM MAPPING
                                                 Fifth Grade Math


   Essential Questions            Content               Skills          Assessment   Standards & Assessment Anchor
                         Coordinate Systems   * Uses ordered pairs to                2.8.5.H
                                              name, locate, and plot                 M5.C.1.2.1
                                              points in all four                     5.G.1
                                              quadrants of a                         5.G.2
                                              coordinate grid.




Page 11
                                                        CURRICULUM MAPPING
                                                           Fifth Grade Math


  Essential Questions                  Content                   Skills             Assessment   Standards & Assessment Anchor
GEOMETRY

What skills do I need to      Lines and Angles          * Identify, describe,                    2.9.5.I
investigate characteristics                             compare, name, and                       M5.C.1.2.1
and properties of two- and                              draw right, acute,
three-dimensional                                       obtuse, straight, and
geometric shapes?                                       reflex angles

                                                        * Represents and uses
                                                        the concepts of line,
                                                        ray, point and plane

                                                        *Determine angle
                                                        measures in vertical
                                                        and supplementary
                                                        angles and by applying
                                                        properties of sums of
                                                        angle measures in
                                                        triangles and
                                                        quadrangles

                              Plane and Solid Figures   * Identifies properties                  2.9.5.B
                                                        of geometric figures                     2.9.5.C
                                                        (parallel, perpendicular,                2.9.5.F
                                                        congruent)                               2.10.5.A

Page 12
                                   CURRICULUM MAPPING
                                      Fifth Grade Math


   Essential Questions   Content             Skills         Assessment   Standards & Assessment Anchor
                                   * Defines basic                       M5.C.1.1.1
                                   properties of                         M5.C.1.1.2
                                   quadrilaterals                        5.G.3
                                   (parallelograms,                      5.G.4
                                   squares, rectangles,
                                   trapezoids and rhombi)

                                   * Sorts polygons
                                   according to their
                                   properties

                                   * Compares properties
                                   of triangles and
                                   identifies parts of a
                                   right triangle

                                   * Identifies and
                                   compares properties of
                                   geometric solids
                                   (pyramids, cubes and
                                   prisms) using faces,
                                   vertices and edges

Page 13
                                                  CURRICULUM MAPPING
                                                     Fifth Grade Math


     Essential Questions             Content                Skills            Assessment   Standards & Assessment Anchor
What skills do I need to    Transformations and   * Identify, describe, and                2.9.5.K
apply transformations and   Symmetry              sketch examples of                       2.9.5.L
symmetry in geometric                             reflections, translations                M5.C.2.1.1
situations?                                       and rotations                            M5.C.2.1.2

                                                  * Identifies symmetry
                                                  in two-dimensional
                                                  shapes




Page 14
                                                          CURRICULUM MAPPING
                                                             Fifth Grade Math


   Essential Questions                  Content                    Skills            Assessment   Standards & Assessment Anchor
PATTERNS,
FUNCTIONS, AND                                                                                    2.8.5.A
ALGEBRA                                                                                           2.8.5.C
                                                                                                  M5.D.1.1.1
What skills do I need to       Patterns and Functions     * Creates, extends and                  M5.D.1.1.2
understand patterns and                                   analyzes patterns                       M5.D.1.2.1
functions?                                                                                        5.OA.3

What skills do I need to use   Algebraic Notation and     * Determines whether                    2.8.5.G
algebraic notation to          Solving Number Sentences   number sentences are                    2.8.5.F
represent and analyze                                     true or false                           M5.D.2.1.1
situations and structures?                                                                        M5.D.2.1.2
                                                          * Uses a variable to
                                                          solve or create number
                                                          sentences

                                                          * Uses algebraic
                                                          expressions to represent
                                                          situations

                                                          * Solve one step pan
                                                          balance problems

                                                          * Solves problems
                                                          involving a constant
                                                          rate of change
Page 15
                                               CURRICULUM MAPPING
                                                  Fifth Grade Math


   Essential Questions             Content              Skills           Assessment   Standards & Assessment Anchor
                         Order of Operations   * Follows the order of                 5.OA.1
                                               operations (PEMDAS)                    5.OA.2

                                               * Evaluate numeric
                                               expressions containing
                                               grouping symbols

                                               * Insert grouping
                                               symbols to make
                                               number sentences true

                                               * Evaluates and inserts
                                               nested grouping
                                               symbols




Page 16
                                                CURRICULUM MAPPING
                                                   Fifth Grade Math

  Essential Questions              Content              Skills          Assessment   Standards & Assessment Anchor
PROBLEM SOLVING
AND
COMMUNICATION

What skills do students   Problem Solving and   * Develop a plan to                  2.4.5
need to plan, analyze,    Mathematical          analyze a problem.                   2.5.5
solve, and communicate    Communication                                              M5.A.2.1.3
real world problems?                            * Use appropriate
                                                mathematical terms to
                                                explain solutions to
                                                problems.




Page 17




CURRICULUM MAPPING-MATH-GRADE 5

						
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