# math3

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```					Teacher: CORE Math3
Year: 2007-2008

August
Unit Name        Content                          Skills                      Standards
Patterns         Place value hundredths to ten-   Represent flexibly in different MA.3.1.1 ~ Numbers and Operation: NUMBER SENSE-
thousands                        forms (Including but not limited Represent place value from hundredths to ten-
to manipulatives or drawings) thousands flexibly

Whole number computation         Estimate the results        MA.3.3.3 ~ Numbers and Operations: COMPUTATION
STRATEGIES-Estimate the results of whole-number
computations
Odd or even number               Categorize                  MA.3.1.2 ~ Numbers and Operation: NUMBER SENSE-
Categorize and justify a number as being odd or even

Odd or even number               Justify                     MA.3.1.2 ~ Numbers and Operation: NUMBER SENSE-
Categorize and justify a number as being odd or even

Patterns on a hundreds chart     Identify & describe         MA.3.9.3 ~ Patterns, Functions, and Algebra:
PATTERNS AND FUNCTIONAL RELATIONSHIPS-
Identify and describe patterns in a hundreds chart
Growing numerical and spatial    Create                      MA.3.9.1 ~ Patterns, Functions, and Algebra:
patterns                                                     PATTERNS AND FUNCTIONAL RELATIONSHIPS-
Create and describe growing numerical and spatial
patterns and generalize a rule for the pattern
Growing numerical and spatial    Describe                    MA.3.9.1 ~ Patterns, Functions, and Algebra:
patterns                                                     PATTERNS AND FUNCTIONAL RELATIONSHIPS-
Create and describe growing numerical and spatial
patterns and generalize a rule for the pattern
Growing numerical and spatial    Generalize the rule         MA.3.9.1 ~ Patterns, Functions, and Algebra:
patterns                                                     PATTERNS AND FUNCTIONAL RELATIONSHIPS-
Create and describe growing numerical and spatial
patterns and generalize a rule for the pattern
Relationship between quantities Apply patterns to solve      MA.3.9.2 ~ Patterns, Functions, and Algebra:
problems                     PATTERNS AND FUNCTIONAL RELATIONSHIPS-
Use patterns to solve problem situations involving
related quantities in which one quantity changes as the
other changes

rev. 5/24/07                               KKPCA Grade 3 Math Monthly Benchmark Map                                                   Page 1
Rates of change                   Identify situation numerically   MA.3.10.2 ~ Patterns, Functions, and Algebra:
and verbally                     SYMBOLIC REPRESENTATION-Identify situations
involving change and describe the change numerically
and verbally
September
Unit Name             Content                           Skills                           Standards
Area and Volume       Units of area                     Describe appropriate unit      MA.3.4.1 ~ Measurement: FLUENCY WITH
MEASUREMENT-Describe the concept of area and
volume and the appropriate units for each
Measurements of area              Measure area with standard     MA.3.4.2 ~ Measurement: FLUENCY WITH
(customary/metric) and non-    MEASUREMENT-Measure area and volume using
standard (tiles, index, cards, standard and non-standard units (e.g., tiles, index
grids)                         cards, grids, cubes)
Units of volume                   Describe appropriate cubic     MA.3.4.1 ~ Measurement: FLUENCY WITH
unit.                          MEASUREMENT-Describe the concept of area and
volume and the appropriate units for each
Measurements of volume            Measure volume with standard MA.3.4.2 ~ Measurement: FLUENCY WITH
(customary/metric cubic units) MEASUREMENT-Measure area and volume using
and non-standard               standard and non-standard units (e.g., tiles, index
cards, grids, cubes)
Unit Name             Content                           Skills                         Standards
Transformations and   Congruent or similar shapes       Classify                         MA.3.5.2 ~ Geometry and Spatial Sense:
Symmetry                                                                                 PROPERTIES AND RELATIONSHIPS-Classify shapes
as congruent or similar
Flips, slides, turns              Predict and confirm              MA.3.6.1 ~ Geometry and Spatial Sense:
TRANSFORMATIONS AND SYMMETRY-Predict and
confirm the result of flipping, sliding, and turning
shapes
Symmetry with flips, slides, turns Prove                           MA.3.6.2 ~ Geometry and Spatial Sense:
TRANSFORMATIONS AND SYMMETRY-Use flips,
slides, and turns to show that a shape or design is
symmetrical
Rotational symmetry of plane      Recognize                        MA.3.6.3 ~ Geometry and Spatial Sense:
figures                                                            TRANSFORMATIONS AND SYMMETRY-Recognize
rotational symmetry of plane figures
Unit Name             Content                           Skills                           Standards
Elaspsed Time         Elapsed time                      Estimate and determine           MA.3.4.4 ~ Measurement: FLUENCY WITH
MEASUREMENT-Estimate and determine the elapsed
time between two events or times

rev. 5/24/07                                     KKPCA Grade 3 Math Monthly Benchmark Map                                                    Page 2
Unit Name                     Content                             Skills                           Standards
Computational Fluency         Addition and subtraction           Choose                            MA.3.3.2 ~ Numbers and Operations: COMPUTATION
strategies of two- and three-digit                                   STRATEGIES-Use a variety of strategies to solve
numbers                                                              problems involving addition and subtraction of two- and
three-digit numbers
Properties of addition of whole     Solve problems                   MA.3.2.4 ~ Numbers and Operations: OPERATION
numbers: commutative                                                 SENSE-Use properties of addition of whole numbers
(e.g., associative, commutative) to solve problems
Properties of addition of whole     Solve problems                   MA.3.2.4 ~ Numbers and Operations: OPERATION
numbers: associative                                                 SENSE-Use properties of addition of whole numbers
(e.g., associative, commutative) to solve problems
October
Unit Name                     Content                             Skills                           Standards
Place Value                   Place value hundredths to ten-      Represent flexibly in different MA.3.1.1 ~ Numbers and Operation: NUMBER SENSE-
thousands                           forms (Including but not limited Represent place value from hundredths to ten-
to manipulatives or drawings) thousands flexibly

Whole number computation            Estimate results                 MA.3.3.3 ~ Numbers and Operations: COMPUTATION
STRATEGIES-Estimate the results of whole-number
computations
Unit Name                     Content                             Skills                           Standards
Multiplication and Division   Multiplication and division of      Model situations with objects,   MA.3.10.1 ~ Patterns, Functions, and Algebra:
whole numbers                       pictures, number sentences       SYMBOLIC REPRESENTATION-Model situations that
involve multiplication and division of whole numbers
using objects/pictures and number sentences

Continues in November         Multiplication facts (0x0 to        Recall                           MA.3.3.1 ~ Numbers and Operations: COMPUTATION
10x10)                                                               STRATEGIES-Recall multiplication facts from 0 x 0 to
10 x 10
Multiplication and division of      Recognize situations             MA.3.2.1 ~ Numbers and Operations: OPERATION
whole numbers                                                        SENSE-Recognize situations involving multiplication
and division of whole numbers and represent the
situation with a number sentence
November
Unit Name                     Content                             Skills                           Standards
Multiplication and Division   Multiplication and division of      Represent situations with        MA.3.2.1 ~ Numbers and Operations: OPERATION
whole numbers                       number sentence                  SENSE-Recognize situations involving multiplication
and division of whole numbers and represent the
situation with a number sentence
Continues from October        Whole number computation            Estimate results                 MA.3.3.3 ~ Numbers and Operations: COMPUTATION
STRATEGIES-Estimate the results of whole-number
computations
rev. 5/24/07                                                KKPCA Grade 3 Math Monthly Benchmark Map                                                      Page 3
Multiplication and division of      Select and apply various       MA.3.2.2 ~ Numbers and Operations: OPERATION
whole numbers                       representations to show        SENSE-Select and apply various meanings and
meaning (including but not     representations of multiplication and division
limited to manipulatives and
drawings)
Multiplication and division of      State fact family              MA.3.2.3 ~ Numbers and Operations: OPERATION
whole numbers                                                      SENSE-Demonstrate that multiplication and division of
whole numbers can undo each other
Unit Name         Content                             Skills                         Standards
Fractions         Fractions with denominators up Compare and order (greater          MA.3.1.3 ~ Numbers and Operation: NUMBER SENSE-
to 12                          than, less than, equal to)          Compare and order fractions with denominators up to
12 (e.g., greater than, less than, equal)

Fractions with denominators up Solve problems                      MA.3.1.4 ~ Numbers and Operation: NUMBER SENSE-
to 12                                                              Use fractions with denominators up to 12 to solve
problems
December
Unit Name         Content                             Skills                         Standards
Measurement       Elapsed time                        Estimate and determine         MA.3.4.4 ~ Measurement: FLUENCY WITH
MEASUREMENT-Estimate and determine the elapsed
time between two events or times
Length                              Measure in U.S. customary      MA.3.4.3 ~ Measurement: FLUENCY WITH
units                          MEASUREMENT-Measure length, capacity, and weight
in U.S. customary and metric units (e.g., pound,
kilogram)
Length                              Measure in metric units        MA.3.4.3 ~ Measurement: FLUENCY WITH
MEASUREMENT-Measure length, capacity, and weight
in U.S. customary and metric units (e.g., pound,
kilogram)
Capacity                            Measure in U.S. customary      MA.3.4.3 ~ Measurement: FLUENCY WITH
units                          MEASUREMENT-Measure length, capacity, and weight
in U.S. customary and metric units (e.g., pound,
kilogram)
Capacity                            Measure in metric units        MA.3.4.3 ~ Measurement: FLUENCY WITH
MEASUREMENT-Measure length, capacity, and weight
in U.S. customary and metric units (e.g., pound,
kilogram)
Weight                              Measure in U.S. customary      MA.3.4.3 ~ Measurement: FLUENCY WITH
units                          MEASUREMENT-Measure length, capacity, and weight
in U.S. customary and metric units (e.g., pound,
kilogram)

rev. 5/24/07                                    KKPCA Grade 3 Math Monthly Benchmark Map                                                  Page 4
Weight                             Measure in metric units          MA.3.4.3 ~ Measurement: FLUENCY WITH
MEASUREMENT-Measure length, capacity, and weight
in U.S. customary and metric units (e.g., pound,
kilogram)
Tools to measure length,           Select                           MA.3.4.5 ~ Measurement: FLUENCY WITH
capacity, and weight                                                MEASUREMENT-Select appropriate tools for
measuring length, capacity, and weight
Unit Name               Content                            Skills                           Standards
Rates of Change         Relationship between quantities Apply patterns to solve             MA.3.9.2 ~ Patterns, Functions, and Algebra:
problems                            PATTERNS AND FUNCTIONAL RELATIONSHIPS-
Use patterns to solve problem situations involving
related quantities in which one quantity changes as the
other changes
Rates of change                    Identify situation numerically   MA.3.10.2 ~ Patterns, Functions, and Algebra:
and verbally                     SYMBOLIC REPRESENTATION-Identify situations
involving change and describe the change numerically
and verbally
January
Unit Name               Content                            Skills                           Standards
Computational Fluency   Addition and subtraction           Choose                           MA.3.3.2 ~ Numbers and Operations: COMPUTATION
strategies of two- and three-digit                                  STRATEGIES-Use a variety of strategies to solve
numbers                                                             problems involving addition and subtraction of two- and
three-digit numbers
Properties of addition of whole    Solve problem                    MA.3.2.4 ~ Numbers and Operations: OPERATION
numbers: commutative                                                SENSE-Use properties of addition of whole numbers
(e.g., associative, commutative) to solve problems
Properties of addition of whole    Solve problem                    MA.3.2.4 ~ Numbers and Operations: OPERATION
numbers: associative                                                SENSE-Use properties of addition of whole numbers
(e.g., associative, commutative) to solve problems
Whole number computation           Estimate results                 MA.3.3.3 ~ Numbers and Operations: COMPUTATION
STRATEGIES-Estimate the results of whole-number
computations
Unit Name               Content                            Skills                           Standards
Coordinate Grid         Coordinate pairs                   Locate objects/locations on a    MA.3.8.1 ~ Geometry and Spatial Sense:
grid                             REPRESENTATIONAL SYSTEMS-Use coordinates to
locate objects/locations on a grid
Unit Name               Content                            Skills                           Standards
Triangles               Properties of triangles:           Compare basic properties         MA.3.5.1 ~ Geometry and Spatial Sense:
isosceles, equilateral and right   (e.g., angles, sides)            PROPERTIES AND RELATIONSHIPS-Compare the
triangles                                                           basic properties of isosceles, equilateral, and right
triangles

rev. 5/24/07                                       KKPCA Grade 3 Math Monthly Benchmark Map                                                        Page 5
February
Unit Name             Content                           Skills                     Standards
Area and Perimeter    Perimeter of common and           Estimate and measure       MA.3.4.6 ~ Measurement: FLUENCY WITH
irregular shapes (e.g. house                                 MEASUREMENT-Estimate and measure perimeter and
shaped pentagon)                                             area of common shapes and irregular (e.g., a house-
shaped pentagon) shapes
Area of common and irregular      Estimate and measure       MA.3.4.6 ~ Measurement: FLUENCY WITH
shapes (e.g. house shaped                                    MEASUREMENT-Estimate and measure perimeter and
pentagon)                                                    area of common shapes and irregular (e.g., a house-
shaped pentagon) shapes
Unit Name             Content                           Skills                     Standards
Transformations and   Congruent or similar shapes       Classify                   MA.3.5.2 ~ Geometry and Spatial Sense:
Symmetry                                                                           PROPERTIES AND RELATIONSHIPS-Classify shapes
as congruent or similar
Flips, slides, turns              Predict and confirm        MA.3.6.1 ~ Geometry and Spatial Sense:
TRANSFORMATIONS AND SYMMETRY-Predict and
confirm the result of flipping, sliding, and turning
shapes
Symmetry with flips, slides, turns Prove                     MA.3.6.2 ~ Geometry and Spatial Sense:
TRANSFORMATIONS AND SYMMETRY-Use flips,
slides, and turns to show that a shape or design is
symmetrical
Rotational symmetry of plane      Recognize                  MA.3.6.3 ~ Geometry and Spatial Sense:
figures                                                      TRANSFORMATIONS AND SYMMETRY-Recognize
rotational symmetry of plane figures
Unit Name             Content                           Skills                     Standards
Probability           Likelihood of an event occurring Make predictions            MA.3.14.1 ~ Data Analysis, Statistics, and Probability:
(e.g., certain, likely, unlikely,                            PROBABILITY-Make reasonable predictions
impossible)                                                  concerning the likelihood of an event occurring (e.g.,
certain, likely, unlikely, impossible)

rev. 5/24/07                                      KKPCA Grade 3 Math Monthly Benchmark Map                                                Page 6
Unit Name                 Content                           Skills                       Standards
Data In Tables and        Question development              Create questions that will   MA.3.11.1 ~ Data Analysis, Statistics, and Probability:
Graphs                                                      result in useable data       FLUENCY WITH DATA-Pose questions, collect data
using surveys, and organize the data into tables and
graphs
Continues in March        Data from survey                  Collect data                 MA.3.11.1 ~ Data Analysis, Statistics, and Probability:
FLUENCY WITH DATA-Pose questions, collect data
using surveys, and organize the data into tables and
graphs
Data in tables and graphs         Organize data                MA.3.11.1 ~ Data Analysis, Statistics, and Probability:
FLUENCY WITH DATA-Pose questions, collect data
using surveys, and organize the data into tables and
graphs
March
Unit Name                 Content                           Skills                       Standards
Data In Tables and        Data (e.g., tallies, charts, tables, Organize and represent    MA.3.11.2 ~ Data Analysis, Statistics, and Probability:
Graphs                    bar graphs, line plots, line                                   FLUENCY WITH DATA-Organize and represent data in
graphs)                                                        more than one way (e.g., tallies, chart, tables, bar
graphs, line plots, line graphs)
Continued from February   Data                              Interpret and state          MA.3.12.1 ~ Data Analysis, Statistics, and Probability:
STATISTICS-Interpret data (e.g., tallies, chart, tables,
bar graphs, line plots) and state what the
representation shows about the set of data
Data represented in graphs        Answer question              MA.3.13.1 ~ Data Analysis, Statistics, and Probability:
DATA ANALYSIS-Answer questions based on data
represented in graphs
April
Unit Name                 Content                           Skills                       Standards
Probability               Likelihood of an event occurring Make predictions              MA.3.14.1 ~ Data Analysis, Statistics, and Probability:
(e.g. certain, likely, unlikely,                               PROBABILITY-Make reasonable predictions
impossible)                                                    concerning the likelihood of an event occurring (e.g.,
certain, likely, unlikely, impossible)
Unit Name                 Content                           Skills                       Standards
Fractions                 Fractions with denominators up Compare and order (greater      MA.3.1.3 ~ Numbers and Operation: NUMBER SENSE-
to 12                          than, less than, equal to)      Compare and order fractions with denominators up to
12 (e.g., greater than, less than, equal)

Fractions with denominators up Solve problems                  MA.3.1.4 ~ Numbers and Operation: NUMBER SENSE-
to 12                                                          Use fractions with denominators up to 12 to solve
problems

rev. 5/24/07                                        KKPCA Grade 3 Math Monthly Benchmark Map                                                     Page 7
Unit Name        Content                            Skills                         Standards
Measurement      Elapsed time                       Estimate and determine         MA.3.4.4 ~ Measurement: FLUENCY WITH
MEASUREMENT-Estimate and determine the elapsed
time between two events or times
Length                             Measure in U.S. customary      MA.3.4.3 ~ Measurement: FLUENCY WITH
units                          MEASUREMENT-Measure length, capacity, and weight
in U.S. customary and metric units (e.g., pound,
kilogram)
Length                             Measure in metric units        MA.3.4.3 ~ Measurement: FLUENCY WITH
MEASUREMENT-Measure length, capacity, and weight
in U.S. customary and metric units (e.g., pound,
kilogram)
Capacity                           Measure in U.S. customary      MA.3.4.3 ~ Measurement: FLUENCY WITH
units                          MEASUREMENT-Measure length, capacity, and weight
in U.S. customary and metric units (e.g., pound,
kilogram)
Capacity                           Measure in metric units        MA.3.4.3 ~ Measurement: FLUENCY WITH
MEASUREMENT-Measure length, capacity, and weight
in U.S. customary and metric units (e.g., pound,
kilogram)
Weight                             Measure in U.S. customary      MA.3.4.3 ~ Measurement: FLUENCY WITH
units                          MEASUREMENT-Measure length, capacity, and weight
in U.S. customary and metric units (e.g., pound,
kilogram)
Weight                             Measure in metric units        MA.3.4.3 ~ Measurement: FLUENCY WITH
MEASUREMENT-Measure length, capacity, and weight
in U.S. customary and metric units (e.g., pound,
kilogram)
Tools to measure length,           Select                         MA.3.4.5 ~ Measurement: FLUENCY WITH
capacity, and weight                                              MEASUREMENT-Select appropriate tools for
measuring length, capacity, and weight
May
Unit Name        Content                            Skills                         Standards
Triangles        Properties of triangles:           Compare basic properties (e.g. MA.3.5.1 ~ Geometry and Spatial Sense:
isosceles, equilateral and right   angles, sides)                 PROPERTIES AND RELATIONSHIPS-Compare the
triangles                                                         basic properties of isosceles, equilateral, and right
triangles

rev. 5/24/07                                 KKPCA Grade 3 Math Monthly Benchmark Map                                                    Page 8
Unit Name            Content                           Skills                          Standards
Area and Perimeter   Perimeter of common and           Estimate and measure            MA.3.4.6 ~ Measurement: FLUENCY WITH
irregular shapes (e.g. house                                      MEASUREMENT-Estimate and measure perimeter and
shaped pentagon)                                                  area of common shapes and irregular (e.g., a house-
shaped pentagon) shapes
Area of common and irregular      Estimate and measure            MA.3.4.6 ~ Measurement: FLUENCY WITH
shapes (e.g. house shaped                                         MEASUREMENT-Estimate and measure perimeter and
pentagon)                                                         area of common shapes and irregular (e.g., a house-
shaped pentagon) shapes
Unit Name            Content                           Skills                          Standards
Coordinate Grid      Coordinate pairs                  Locate objects/locations on a   MA.3.8.1 ~ Geometry and Spatial Sense:
grid                            REPRESENTATIONAL SYSTEMS-Use coordinates to
locate objects/locations on a grid
Unit Name            Content                           Skills                          Standards
Area and Volume      Units of area                     Describe appropriate unit      MA.3.4.1 ~ Measurement: FLUENCY WITH
MEASUREMENT-Describe the concept of area and
volume and the appropriate units for each
Measurements of area              Measure area with standard     MA.3.4.2 ~ Measurement: FLUENCY WITH
(customary/metric) and non-    MEASUREMENT-Measure area and volume using
standard (tiles, index, cards, standard and non-standard units (e.g., tiles, index
grids)                         cards, grids, cubes)
Units of volume                   Describe appropriate cubic     MA.3.4.1 ~ Measurement: FLUENCY WITH
unit.                          MEASUREMENT-Describe the concept of area and
volume and the appropriate units for each
Measurements of volume            Measure volume with standard MA.3.4.2 ~ Measurement: FLUENCY WITH
(customary/metric cubic units) MEASUREMENT-Measure area and volume using
and non-standard               standard and non-standard units (e.g., tiles, index
cards, grids, cubes)

rev. 5/24/07                                     KKPCA Grade 3 Math Monthly Benchmark Map                                                 Page 9

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