Common Core Grade 3 Math (Worksheets, Homework, Lesson Plans)


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The following lesson plans and worksheets are from the New York State Education Department Common Core-aligned educational resources. The Lesson Plans and Worksheets are divided into seven modules.




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Common Core Math Resources, Lesson Plans And Worksheets
Common Core Math Video Lessons, Math Worksheets and Games for Grade 3
Common Core Math Video Lessons, Math Worksheets and Games for all grades

Grade 3 Homework, Lesson Plans And Worksheets

Module 1 Topics and Objectives
A. Multiplication and the Meaning of the Factors
Standard: 3.OA.1, 3.OA.3
Days: 3

Module 1 Overview

Topic A Overview

Lesson 1: Understand equal groups of as multiplication. (Video Lesson)

Lesson 2: Relate multiplication to the array model. (Video Lesson) (Worksheet Sprint A) (Worksheet Sprint B)

Lesson 3: Interpret the meaning of factors - the size of the group or the number of groups. (Video Lesson)
B. Division as an Unknown Factor Problem
Standard: 3.OA.2, 3.OA.6, 3.OA.3, 3.OA.4
Days: 3

Topic B Overview

Lesson 4: Understand the meaning of the unknown as the size of the group in division. (Video Lesson) (Worksheet Sprint A) (Worksheet Sprint B)

Lesson 5: Understand the meaning of the unknown as the number of groups in division. (Video Lesson)

Lesson 6: Interpret the unknown in division using the array model. (Video Lesson)
C. Analyze Arrays to Multiply Using Units of 2 and 3
Standard: 3.OA.1, 3.OA.5 3.OA.3, 3.OA.4
Days: 4

Topic C Overview

Lesson 7, Lesson 8: Demonstrate the commutativity of multiplication and practice related facts by skip-counting objects in array models. (Video Lesson)

Lesson 9: Find related multiplication facts by adding and subtracting equal groups in array models. (Video Lesson)

Lesson 10: Model the distributive property with arrays to decompose units as a strategy to multiply. (Video Lesson)
Mid-Module Assessment: Topics A-C (assessment ½ day, return ½ day, remediation or further applications 1 day)
D. Division Using Units of 2 and 3
Standard: 3.OA.2, 3.OA.4, 3.OA.6, 3.OA.7, 3.OA.3, 3.OA.8
Days: 3

Topic D Overview

Lesson 11: Model division as the unknown factor in multiplication using arrays and tape diagrams. (Video Lesson)

Lesson 12: Interpret the quotient as the number of groups or the number of objects in each group using units of 2. (Video Lesson)

Lesson 13: Interpret the quotient as the number of groups or the number of objects in each group using units of 3. (Video Lesson) (Worksheet Sprint A) (Worksheet Sprint B)
Multiplication and Division Using Units of 4
Standard: 3.OA.5, 3.OA.7, 3.OA.1, 3.OA.2, 3.OA.4, 3.OA.6
Days: 4

Topic E Overview

Lesson 14: Skip-count objects in models to build fluency with multiplication facts using units of 4. (Video Lesson) (Worksheet Sprint A) (Worksheet Sprint B)

Lesson 15: Relate arrays to tape diagrams to model the commutative property of multiplication. (Video Lesson)

Lesson 16: Use the distributive property as a strategy to find related multiplication facts. (Video Lesson)

Lesson 17: Model the relationship between multiplication and division. (Video Lesson) (Worksheet Sprint A) (Worksheet Sprint B)
F. Distributive Property and Problem Solving Using Units of 2–5 and 10
Standard: 3.OA.3, 3.OA.5, 3.OA.7, 3.OA.8, 3.OA.1, 3.OA.2, 3.OA.4, 3.OA.6
Days: 4

Topic F Overview

Lesson 18, Lesson 19: Apply the distributive property to decompose units. (Video Lesson) (Worksheet Sprint A) (Worksheet Sprint B)

Lesson 20: Solve two-step word problems involving multiplication and division and assess the reasonableness of answers. (Video Lesson) (Worksheet Sprint A) (Worksheet Sprint B)

Lesson 21: Solve two-step word problems involving all four operations and assess the reasonableness of answers. (Video Lesson)
End-of-Module Assessment: Topics A-F (assessment ½ day, return ½ day, remediation or further application 1 day)
Total Number of Instructional Days: 25



Module 2 Topics and Objectives
A. Time Measurement and Problem Solving
Standard: 3.NBT.2, 3.MD.1
Days: 5

Module 2 Overview

Topic A Overview

Lesson 1: Explore time as a continuous measurement using a stopwatch. (Video Lesson)

Lesson 2: Relate skip-counting by 5 on the clock and telling time to a continuous measurement model, the number line. (Video Lesson) (Worksheet Sprint A) (Worksheet Sprint B)

Lesson 3: Count by fives and ones on the number line as a strategy to tell time to the nearest minute on the clock. (Video Lesson)

Lesson 4: Solve word problems involving time intervals within 1 hour by counting backward and forward using the number line and clock. (Video Lesson)

Lesson 5: Solve word problems involving time intervals within 1 hour by adding and subtracting on the number line. (Video Lesson)
Measuring Weight and Liquid Volume in Metric Units
Standard: 3.NBT.2, 3.MD.2, 3.NBT.8
Days: 6

Topic B Overview

Lesson 6: Build and decompose a kilogram to reason about the size and weight of 1 kilogram, 100 grams, 10 grams, and 1 gram. (Video Lesson)

Lesson 7: Develop estimation strategies by reasoning about the weight in kilograms of a series of familiar objects to establish mental benchmark measures. (Video Lesson)

Lesson 8: Solve one-step word problems involving metric weights within 100 and estimate to reason about solutions. (Video Lesson)

Lesson 9: Decompose a liter to reason about the size of 1 liter, 100 milliliters, 10 milliliters, and 1 milliliter. (Video Lesson)

Lesson 10: Estimate and measure liquid volume in liters and milliliters using the vertical number line. (Video Lesson)

Lesson 11: Solve mixed word problems involving all four operations with grams, kilograms, liters, and milliliters given in the same units. (Video Lesson)
Mid-Module Assessment: Topics A-B (assessment ½ day, return ½ day, remediation or further applications 1 day)
C. Rounding to the Nearest Ten and Hundred
Standard: 3.NBT.1, 3.MD1, 3.MD.2
Days: 3

Topic C Overview

Lesson 12: Round two-digit measurements to the nearest ten on the vertical number line. (Video Lesson)

Lesson 13: Round two- and three-digit numbers to the nearest ten on the vertical number line. (Video Lesson)

Lesson 14: Round to the nearest hundred on the vertical number line. (Video Lesson) (Worksheet Sprint A) (Worksheet Sprint B)
D. Two- and Three-Digit Measurement Addition Using the Standard Algorithm
Standard: 3.NBT.2, 3.NBT.3, 3.MD.1, 3.MD.2
Days: 3

Topic D Overview

Lesson 15: Add measurements using the standard algorithm to compose larger units once. (Video Lesson)

Lesson 16: Add measurements using the standard algorithm to compose larger units twice. (Video Lesson)

Lesson 17: Estimate sums by rounding and apply to solve measurement word problems. (Video Lesson) (Worksheet Sprint A) (Worksheet Sprint B)
E. Two- and Three-Digit Measurement Subtraction Using the Standard Algorithm
Standard: 3..NBT.2, 3.NBT.1, 3.MD.1, 3.MD.2
Days: 4

Topic E Overview

Lesson 18: Decompose once to subtract measurements including three-digit minuends with zeros in the tens or ones place. (Video Lesson)

Lesson 19: Decompose twice to subtract measurements including three-digit minuends with zeros in the tens and ones places. (Video Lesson)

Lesson 20: Estimate differences by rounding and apply to solve measurement word problems. (Video Lesson) (Worksheet Sprint A) (Worksheet Sprint B)

Lesson 21: Estimate sums and differences of measurements by rounding, and then solve mixed word problems. (Video Lesson)
End-of-Module Assessment: Topics A-E (assessment ½ day, return ½ day, remediation or further applications 1 day)
Total Number of Instructional Days: 25


Module 3 Topics and Objectives
A. The Properties of Multiplication and Division
Standard: 3.OA.4, 3.OA.5, 3.OA.7, 3.OA.9, 3.OA.1, 3.OA.2, 3.OA.3, 3.OA.6
Days: 3

Module 3 Overview

Topic A Overview

Lesson 1: Study commutativity to find known facts of 6, 7, 8, and 9. (Video Lesson) (Worksheet Sprint A) (Worksheet Sprint B)

Lesson 2: Apply the distributive and commutative properties to relate multiplication facts 5 × n + n to 6 × n and n × 6 where n is the size of the unit. (Video Lesson) (Worksheet Sprint A) (Worksheet Sprint B)

Lesson 3: Multiply and divide with familiar facts using a letter to represent the unknown. (Video Lesson)
B. Multiplication and Division Using Units of 6 and 7
Standard: 3.OA.3, 3.OA.4, 3.OA.5, 3.OA.7, 3.OA.9, 3.OA.1, 3.OA.2, 3.OA.6
Days: 4

Topic B Overview

Lesson 4: Count by units of 6 to multiply and divide using number bonds to decompose. (Video Lesson)

Lesson 5: Count by units of 7 to multiply and divide using number bonds to decompose. (Video Lesson)

Lesson 6: Use the distributive property as a strategy to multiply and divide using units of 6 and 7. (Video Lesson)

Lesson 7: Interpret the unknown in multiplication and division to model and solve problems using units of 6 and 7. (Video Lesson)
C. Multiplication and Division Using Units up to 8
Standard: 3.OA.3, 3.OA.4, 3.OA.5, 3.OA.7, 3.OA.1, 3.OA.2, 3.OA.6, 3.OA.8
Days: 4

Topic C Overview

Lesson 8: Understand the function of parentheses and apply to solving problems. (Video Lesson)

Lesson 9: Model the associative property as a strategy to multiply. (Video Lesson)

Lesson 10: Use the distributive property as a strategy to multiply and divide. (Video Lesson)

Lesson 11: Interpret the unknown in multiplication and division to model and solve problems. (Video Lesson)
Mid-Module Assessment: Topics A-C (assessment ½ day, return ½ day, remediation or further applications 1 day)
D. Multiplication and Division Using Units of 9
Standard: 3.OA.3, 3.OA.4, 3.OA.5, 3.OA.7, 3.OA.9, 3.OA.1, 3.OA.2, 3.OA.6
Days: 4

Topic D Overview

Lesson 12: Apply the distributive property and the fact 9 = 10 - 1 as a strategy to multiply. (Video Lesson)

Lesson 13, Lesson 14: Identify and use arithmetic patterns to multiply. (Video Lesson) (Worksheet Sprint A) (Worksheet Sprint B)

Lesson 15: Interpret the unknown in multiplication and division to model and solve problems. (Video Lesson)
E. Analysis of Patterns and Problem Solving Including Units of 0 and 1
Standard: 3.OA.3, 3.OA.7, 3.OA.8, 3.OA.9, 3.OA.1, 3.OA.2, 3.OA.4, 3.OA.6
Days: 3

Topic E Overview

Lesson 16: Reason about and explain arithmetic patterns using units of 0 and 1 as they relate to multiplication and division. (Video Lesson) (Worksheet Sprint A) (Worksheet Sprint B)

Lesson 17: Identify patterns in multiplication and division facts using the multiplication table. (Video Lesson)

Lesson 18: Solve two-step word problems involving all four operations and assess the reasonableness of solutions. (Video Lesson) (Multiply or Divide by 0 or 1 Worksheet)
F. Multiplication of Single-Digit Factors and Multiples of 10
Standard: 3.OA.5, 3.OA.8, 3.OA.9, 3.OA.3,
Days: 4

Topic F Overview

Lesson 19: Multiply by multiples of 10 using the place value chart. (Video Lesson)

Lesson 20: Use place value strategies and the associative property n × (m × 10) = (n × m) × 10 (where n and m are less than 10) to multiply by multiples of 10. (Video Lesson)

Lesson 21: Solve two-step word problems involving multiplying single-digit factors and multiples of 10. (Video Lesson) (Multiply by Multiples of 10 Worksheet)
End-of-Module Assessment: Topics A-F (assessment ½ day, return ½ day, remediation or further application 1 day)
Total Number of Instructional Days: 25


Module 4 Topics and Objectives
A. Foundations for Understanding Area
Standard: 3.MD.5, 3.MD.6, 3.MD.7
Days: 4

Module 4 Overview

Topic A Overview

Lesson 1: Understand area as an attribute of plane figures. (Video Lesson)

Lesson 2: Decompose and recompose shapes to compare areas. (Video Lesson)

Lesson 3: Model tiling with centimeter and inch unit squares as a strategy to measure area. (Video Lesson)

Lesson 4: Relate side lengths with the number of tiles on a side. (Video Lesson)
B. Concepts of Area Measurement
Standard: 3.MD.5, 3.MD.6, 3.MD.7
Days: 4

Topic B Overview

Lesson 5: Form rectangles by tiling with unit squares to make arrays. (Video Lesson)

Lesson 6: Draw rows and columns to determine the area of a rectangle, given an incomplete array. (Video Lesson)

Lesson 7: Interpret area models to form rectangular arrays. (Video Lesson)

Lesson 8: Find the area of a rectangle through multiplication of the side lengths. (Video Lesson)
Mid-Module Assessment: Topics A-B (assessment 1 day, return ½ day, remediation or further applications ½ day)
C. Arithmetic Properties Using Area Models
Standard: 3.MD.5, 3.MD.6, 3.MD.7
Days: 3

Topic C Overview

Lesson 9: Analyze different rectangles and reason about their area. (Video Lesson)

Lesson 10: Apply the distributive property as a strategy to find the total area of a large rectangle by adding two products. (Video Lesson)

Lesson 11: Demonstrate the possible whole number side lengths of rectangles with areas of 24, 36, 48, or 72 square units using the associative property. (Video Lesson)
D. Applications of Area Using Side Lengths of Figures
Standard: 3.MD.5, 3.MD.6, 3.MD.7
Days: 5

Topic D Overview

Lesson 12: Solve word problems involving area. (Video Lesson)

Lesson 13, Lesson 14: Find areas by decomposing into rectangles or completing composite figures to form rectangles. (Video Lesson)

Lesson 15, Lesson 16: Apply knowledge of area to determine areas of rooms in a given floor plan. (Video Lesson)
End-of-Module Assessment: Topics A-D (assessment 1 day, return ½ day, remediation or further applications ½ day)
Total Number of Instructional Days: 20

Module 5 Topics and Objectives
A. Partitioning a Whole into Equal Parts
Standard: 3.G.2, 3.NF.1
Days: 4

Module 5 Overview

Topic A Overview

Lesson 1: Specify and partition a whole into equal parts, identifying and counting unit fractions using concrete models. (Video Lesson)

Lesson 2: Specify and partition a whole into equal parts, identifying and counting unit fractions by folding fraction strips. (Video Lesson)

Lesson 3: Specify and partition a whole into equal parts, identifying and counting unit fractions by drawing pictorial area models. (Video Lesson)

Lesson 4: Represent and identify fractional parts of different wholes. (Video Lesson)
B. Unit Fractions and their Relation to the Whole
Standard: 3.NF.1, 3.MD.3, 3.G.2
Days: 5
Topic B Overview

Lesson 5: Partition a whole into equal parts and define the equal parts to identify the unit fraction numerically. (Video Lesson)

Lesson 6: Build non-unit fractions less than one whole from unit fractions. (Video Lesson) (Multiply 7 Worksheet)

Lesson 7: Identify and represent shaded and non-shaded parts of one whole as fractions. (Video Lesson) (Divide 7 worksheet)

Lesson 8: Represent parts of one whole as fractions with number bonds. (Video Lesson)

Lesson 9: Build and write fractions greater than one whole using unit fractions. (Video Lesson) (Multiply 8 Sprint)
C. Comparing Unit Fractions and Specifying the Whole
Standard: 3.NF.3, 3.NF.1, 3.G.2
Days: 4

Topic C Overview

Lesson 10: Compare unit fractions by reasoning about their size using fraction strips. (Video Lesson)(Multiply, Divide 8 Sprint)

Lesson 11: Compare unit fractions with different sized models representing the whole. (Video Lesson)

Lesson 12: Specify the corresponding whole when presented with one equal part. (Video Lesson) (Multiply 9 Sprint)

Lesson 13: Identify a shaded fractional part in different ways depending on the designation of the whole. (Video Lesson)

Mid-Module Assessment: Topics A-C (assessment 1 day, return 1 day, remediation or further applications 1 day)
D. Fractions on the Number Line
Standard: 3.NF.2, 3.NF.3, 3.MD.4
Days: 6
Topic D Overview

Lesson 14: Place unit fractions on a number line with endpoints 0 and 1. (Video Lesson)

Lesson 15: Place any fraction on a number line with endpoints 0 and 1. (Video Lesson)

Lesson 16: Place whole number fractions and unit fractions between whole numbers on the number line. (Video Lesson) (Multiply, Divide 9 Sprint)

Lesson 17: Practice placing various fractions on the number line. (Video Lesson) (Division Sprint)

Lesson 18: Compare fractions and whole numbers on the number line by reasoning about their distance from 0. (Video Lesson)

Lesson 19: Understand distance and position on the number line as strategies for comparing fractions. (Optional) (Video Lesson)

E. Equivalent Fractions
Standard: 3.NF.3
Days: 4

Topic E Overview

Lesson 20: Recognize and show that equivalent fractions have the same size, though not necessarily the same shape. (Video Lesson)

Lesson 21: Recognize and show that equivalent fractions refer to the same point on the number line. (Video Lesson)

Lesson 22, Lesson 23: Generate simple equivalent fractions by using visual fraction models and the number line. (Video Lessons) (Add 6 Sprint)

Lesson 24: Express whole numbers as fractions and recognize equivalence with different units. (Video Lesson) (Add 7 Sprint)

Lesson 25: Express whole number fractions on the number line when the unit interval is 1. (Video Lesson) (Subtract 6 Sprint)

Lesson 26: Decompose whole number fractions greater than 1 using whole number equivalence with various models. (Video Lesson) (Add 8 Sprint)

Lesson 27: Explain equivalence by manipulating units and reasoning about their size. (Video Lesson) (Subtract 7 Sprint)
F. Comparison, Order, and Size of Fractions
Standard: 3.NF.3d
Days: 3

Topic F Overview

Lesson 28: Compare fractions with the same numerator pictorially. (Video Lesson) (Subtract 8 Sprint)

Lesson 29: Compare fractions with the same numerator using <, >, or = and use a model to reason about their size. (Video Lesson)

Lesson 30: Partition various wholes precisely into equal parts using a number line method. (Video Lesson)
End-of-Module Assessment: Topics A-F (assessment 1 day, return 1 day, remediation or further applications 1 day)

Module 6 Topics and Objectives
A. Generate and Analyze Categorical Data
Standard: 3.MD.3
Days: 4

Module 6 Overview

Topic A Overview

Lesson 1: Generate and organize data. (Video Lesson)

Lesson 2: Rotate tape diagrams vertically. (Video Lesson)

Lesson 3: Create scaled bar graphs. (Video Lesson) (Divide 6 Sprint)

Lesson 4: Solve one- and two-step problems involving graphs. (Video Lesson)
B. Generate and Analyze Measurement Data
Standard: 3.MD.4
Days: 5

Topic B Overview

Lesson 5: Create ruler with 1-inch, 1/2-inch, and 1/4-inch intervals and generate measurement data. (Video Lesson)

Lesson 6: Interpret measurement data from various line plots. (Video Lesson)

Lesson 7, Lesson 8: Represent measurement data with line plots. (Video Lesson)

Lesson 9: Analyze data to problem solve. (Video Lesson)
End-of-Module Assessment: Topics A-B (assessment ½ day, return ¼ day, remediation or further applications ¼ day)
Total Number of Instructional Days: 10

Module 7 Topics and Objectives
A. Solving Word Problems
Standard: 3.OA.8
Days: 3

Module 7 Overview

Topic A Overview

Lesson 1, Lesson 2: Solve word problems in varied contexts using a letter to represent the unknown. (Video Lesson)

Lesson 3: Share and critique peer solution strategies to varied word problems. (Video Lesson)
B. Attributes of Two-Dimensional Figures
Standard: 3.G.1
Days: 6

Topic B Overview

Lesson 4: Compare and classify quadrilaterals. (Video Lesson)

Lesson 5: Compare and classify other polygons. (Video Lesson)

Lesson 6: Draw polygons with specified attributes to solve problems. (Video Lesson)

Lesson 7: Reason about composing and decomposing polygons using tetrominoes. (Video Lesson)

Lesson 8: Create a tangram puzzle and observe relationships among the shapes. (Video Lesson)

Lesson 9: Reason about composing and decomposing polygons using tangrams. (Video Lesson)
C. Problem Solving with Perimeter
Standard: 3.MD.8, 3.G.1
Days: 8

Topic C Overview

Lesson 10: Decompose quadrilaterals to understand perimeter as the boundary of a shape. (Video Lesson)

Lesson 11: Tessellate to understand perimeter as the boundary of a shape. (Optional) (Video Lesson)

Lesson 12: Measure side lengths in whole number units to determine the perimeter of polygons. (Video Lesson)

Lesson 13: Explore perimeter as an attribute of plane figures and solve problems. (Video Lesson)

Lesson 14: Determine the perimeter of regular polygons and rectangles when whole number measurements are missing. (Video Lesson)

Lesson 15: Solve word problems to determine perimeter with given side lengths. (Video Lesson)

Lesson 16: Use string to measure the perimeter of various circles to the nearest quarter inch. (Video Lesson)

Lesson 17: Use all four operations to solve problems involving perimeter and missing measurements. (Video Lesson)
Mid-Module Assessment: Topics A-C (assessment 1 day, return 1 day, remediation or further applications 1 day)
D. Recording Perimeter and Area Data on Line Plot
Standard: 3.MD.4, 3.MD.8, 3.G.1
Days: 5

Topic D Overview

Lesson 18: Construct rectangles from a given number of unit squares and determine the perimeters. (Video Lesson)

Lesson 19: Use a line plot to record the number of rectangles constructed from a given number of unit squares. (Video Lesson)

Lesson 20, Lesson 21: Construct rectangles with a given perimeter using unit squares and determine their areas. (Video Lesson)

Lesson 22: Use a line plot to record the number of rectangles constructed in Lessons 20 and 21. (Video Lesson)
E. Problem Solving with Perimeter and Area
Standard: 3.MD.8, 3.G.1
Days: 8

Topic E Overview

Lesson 23: Solve a variety of word problems with perimeter. (Video Lesson) (Divide 5 Sprint)

Lesson 24, Lesson 25, Lesson 26, Lesson 27: Use rectangles to draw a robot with specified perimeter measurements, and reason about the different areas that may be produced. (Video Lesson)

Lesson 28, Lesson 29: Solve a variety of word problems involving area and perimeter using all four operations. (Video Lesson)

Lesson 30: Share and critique peer strategies for problem solving. (Video Lesson)
End-of-Module Assessment: Topics A-E (assessment 1 day, return 1 day, remediation or further applications 1 day)
F. Year in Review
Topic F Overview

Lesson 31, Lesson 32: Explore and create unconventional representations of one-half. (Video Lesson)

Lesson 33: Solidify fluency with Grade 3 skills.

Lesson 34: Create resource booklets to support fluency with Grade 3 skills.

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