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Teacher: CORE Math3 Year: 2007-2008 Course: Math Grade 3 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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