# Common Core Grade 5 Math (Homework, Lesson Plans, & Worksheets)

Looking for Common Core Math Worksheets and Lesson Plans that will help you prepare lessons for Grade 5 students?

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 six modules.

Related Topics:

Common Core Math Resources, Lesson Plans, & Worksheets
Common Core Math Video Lessons, Math Worksheets and Games for Grade 5
Common Core Math Video Lessons, Math Worksheets and Games for all grades

## Grade 5 Homework, Lesson Plans, and Worksheets

Standards Topics and Objectives (Module 1) Days
5.NBT.1

5.NBT.2

5.MD.1

A Multiplicative Patterns on the Place Value Chart

Module 1 Overview

Topic A Overview

Lesson 1: Reason concretely and pictorially using place value understanding to relate adjacent base ten units from millions to thousandths. (Video)

Lesson 2: Reason abstractly using place value understanding to relate adjacent base ten units from millions to thousandths. (Video)

Lesson 3: Use exponents to name place value units and explain patterns in the placement of the decimal point. (Video)

Lesson 4: Use exponents to denote powers of 10 with application to metric conversions. (Video)
4
5.NBT.3 B Decimal Fractions and Place Value Patterns

Topic B Overview

Lesson 5: Name decimal fractions in expanded, unit, and word forms by applying place value reasoning. (Video)

Lesson 6: Compare decimal fractions to the thousandths using like units and express comparisons with >, <, =. (Video)
2
5.NBT.4 C Place Value and Rounding Decimal Fractions

Topic C Overview

Lesson 7, Lesson 8: Round a given decimal to any place using place value understanding and the vertical number line. (Video) (Video)
2
Mid-Module Assessment: Topics A-C (assessment ½ day, return ½ day, remediation or further applications 1 day) 2
5.NBT.2

5.NBT.3

5.NBT.7

Topic D Overview

Lesson 9: Add decimals using place value strategies and relate those strategies to a written method. (Video)

Lesson 10: Subtract decimals using place value strategies and relate those strategies to a written method. (Video)
2
5.NBT.2

5.NBT.3

5.NBT.7
E Multiplying Decimals

Topic E Overview

Lesson 11: Multiply a decimal fraction by single-digit whole numbers, relate to a written method through application of the area model and place value understanding, and explain the reasoning used. (Video)

Lesson 12: Multiply a decimal fraction by single-digit whole numbers, including using estimation to confirm the placement of the decimal point. (Video)
2
5.NBT.3

5.NBT.7
F Dividing Decimals

Topic F Overview

Lesson 13: Divide decimals by single-digit whole numbers involving easily identifiable multiples using place value understanding and relate to a written method. (Video)

Lesson 14: Divide decimals with a remainder using place value understanding and relate to a written method. (Video)

Lesson 15: Divide decimals using place value understanding including remainders in the smallest unit. (Video)

Lesson 16: Solve word problems using decimal operations. (Video)
4
End-of-Module Assessment: Topics A-F (assessment ½ day, return ½ day, remediation or further applications 1 day) 2
Total Number of Instructional Days 20

Standards Topics and Objectives (Module 2) Days
5.NBT.1

5.NBT.2

5.OA.1
A Mental Strategies for Multi-Digit Whole Number Multiplication

Module 2 Overview

Topic A Overview

Lesson 1: Multiply multi-digit whole numbers and multiples of 10 using place value patterns and the distributive and associative properties. (Video)

Lesson 2: Estimate multi-digit products by rounding factors to a basic fact and using place value patterns. (Video)
2
5.OA.1

5.OA.2

5.NBT.5
B The Standard Algorithm for Multi-Digit Whole Number Multiplication

Topic B Overview

Lesson 3: Write and interpret numerical expressions and compare expressions using a visual model. (Video)

Lesson 4: Convert numerical expressions into unit form as a mental strategy for multi-digit multiplication. (Video)

Lesson 5: Connect visual models and the distributive property to partial products of the standard algorithm without renaming. (Video)

Lesson 6:Connect area diagrams and the distributive property to partial products of the standard algorithm without renaming. (Video)

Lesson 7: Connect area diagrams and the distributive property to partial products of the standard algorithm with renaming. (Video)

Lesson 8: Fluently multiply multi-digit whole numbers using the standard algorithm and using estimation to check for reasonableness of the product. (Video)

Lesson 9: Fluently multiply multi-digit whole numbers using the standard algorithm to solve multi-step word problems. (Video)
7
5.NBT.7

5.OA.1

5.OA.2

5.NBT.1
C Decimal Multi-Digit Multiplication

Topic C Overview

Lesson 10: Multiply decimal fractions with tenths by multi-digit whole numbers using place value understanding to record partial products. (Video)

Lesson 11: Multiply decimal fractions by multi-digit whole numbers through conversion to a whole number problem and reasoning about the placement of the decimal. (Video)

Lesson 12: Reason about the product of a whole number and a decimal with hundredths using place value understanding and estimation. (Video)
3
5.NBT.5

5.NBT.7

5.MD.1

5.NBT.1

5.NBT.2
D Measurement Word Problems with Whole Number and Decimal Multiplication

Topic D Overview

Lesson 13: Use whole number multiplication to express equivalent measurements. (Video)

Lesson 14: Use decimal multiplication to express equivalent measurements. (Video)

Lesson 15: Solve two-step word problems involving measurement and multi-digit multiplication. (Video)
3
Mid-Module Assessment: Topics A-D (assessment ½ day, return ½ day, remediation or further applications 2 days) 3
5.NBT.1

5.NBT.2

5.NBT.6
E Mental Strategies for Multi-Digit Whole Number Division

Topic E Overview

Lesson 16: Use divide by 10 patterns for multi-digit whole number division. (Video)

Lesson 17, Lesson 18: Use basic facts to approximate quotients with two-digit divisors. (Video) (Video)
3
5.NBT.6 F Partial Quotients and Multi-Digit Whole Number Division

Topic F Overview

Lesson 19: Divide two- and three-digit dividends by multiples of 10 with single-digit quotients and make connections to a written method. (Video)

Lesson 20: Divide two- and three-digit dividends by two-digit divisors with single-digit quotients and make connections to a written method. (Video)

Lesson 21: Divide two- and three-digit dividends by two-digit divisors with single-digit quotients and make connections to a written method. (Video)

Lesson 22, Lesson 23: Divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients, reasoning about the decomposition of successive remainders in each place value. (Video) (Video)
5
5.NBT.2

5.NBT.7
G Partial Quotients and Multi-Digit Decimal Division

Topic G Overview

Lesson 24: Divide decimal dividends by multiples of 10, reasoning about the placement of the decimal point and making connections to a written method. (Video)

Lesson 25: Use basic facts to approximate decimal quotients with two-digit divisors, reasoning about the placement of the decimal point. (Video)

Lesson 26, Lesson 27: Divide decimal dividends by two-digit divisors, estimating quotients, reasoning about the placement of the decimal point, and making connections to a written method. (Video) (Video)
4
5.NBT.6

5.NBT.7
H Measurement Word Problems with Multi-Digit Division

Topic H Overview

Lesson 28, Lesson 29: Solve division word problems involving multi-digit division with group size unknown and the number of groups unknown. (Video) (Video)
2
End-of-Module Assessment: Topics A-H (assessment ½ day, return ½ day, remediation or further application 2 days) 3
Total Number of Instructional Days 35

Standards Topics and Objectives (Module 3) Days
5.NF.1

5.NF.3c

5.NF.3d
A Equivalent Fractions

Module 3 Overview

Topic A Overview

Lesson 1: Make equivalent fractions with the number line, the area model, and numbers. (Video)

Lesson 2: Make equivalent fractions with sums of fractions with like denominators. (Video)
2
5.NF.1

5.NF.2
B Making Like Units Pictorially

Topic B Overview

Lesson 3: Add fractions with unlike units using the strategy of creating equivalent fractions. (Video)

Lesson 4: Add fractions with sums between 1 and 2. (Video)

Lesson 5: Subtract fractions with unlike units using the strategy of creating equivalent fractions. (Video)

Lesson 6: Subtract fractions from numbers between 1 and 2. (Video)

Lesson 7: Solve two-step word problems. (Video)
5
Mid-Module Assessment: Topics A-B (assessment ½ day, return ½ day, remediation or further applications 2 day) 3
5.NF.1

5.NF.2
C Making Like Units Numerically

Topic C Overview

Lesson 8: Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies. (Video)

Lesson 9: Add fractions making like units numerically. (Video)

Lesson 10: Add fractions with sums greater than 2. (Video)

Lesson 11: Subtract fractions making like units numerically. (Video)

Lesson 12: Subtract fractions greater than or equal to one (Video)
5
5.NF.1

5.NF.2
D Further Applications

Topic D Overview

Lesson 13: Use fraction benchmark numbers to assess reasonableness of addition and subtraction equations. (Video)

Lesson 14: Strategize to solve multi-term problems. (Video)

Lesson 15: Solve multi-step word problems; assess reasonableness of solutions using benchmark numbers. (Video)

Lesson 16: Explore part to whole relationships. (Video)
4
End-of-Module Assessment: Topics C-D (assessment ½ day, return ½ day, remediation or further applications 2 day) 3
Total Number of Instructional Days 22

Standards Topics and Objectives (Module 4) Days
5.MD.2 A Line Plots of Fraction Measurements

Module 4 Overview

Topic A Overview

Lesson 1: Measure and compare pencil lengths to the nearest 1/2, 1/4, and 1/8 of an inch, and analyze the data through line plots. (Video)
1
5.NF.3 B Fractions as Division

Topic B Overview

Lesson 2 , Lesson 3: Interpret a fraction as division. (Video)(Video)

Lesson 4: Use tape diagrams to model fractions as division. (Video)

Lesson 5: Solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers. (Video)

4
5.NF.4a C Multiplication of a Whole Number by a Fraction

Topic C Overview

Lesson 6: Relate fractions as division to fraction of a set. (Video)

Lesson 7: Multiply any whole number by a fraction using tape diagrams. (Video)

Lesson 8: Relate fraction of a set to the repeated addition interpretation of fraction multiplication. (Video)

Lesson 9: Find a fraction of a measurement, and solve word problems. (Video)
4
5.OA.1

5.OA.2

5.NF.4a

5.NF.6
D Fraction Expressions and Word Problems

Topic D Overview

Lesson 10: Compare and evaluate expressions with parentheses. (Video)

Lesson 11, Lesson 12: Solve and create fraction word problems involving addition, subtraction, and multiplication. (Video)
3
Mid-Module Assessment: Topics A-D (assessment ½ day, return ½ day, remediation or further applications 1 day) 2
5.NBT.7

5.NF.4a

5.NF.6

5.MD.1

5.NF.4b
E Multiplication of a Fraction by a Fraction

Topic E Overview

Lesson 13: Multiply unit fractions by unit fractions. (Video

Lesson 14: Multiply unit fractions by non-unit fractions. (Video)

Lesson 15: Multiply non-unit fractions by non-unit fractions. (Video)

Lesson 16: Solve word problems using tape diagrams and fraction-by-fraction multiplication. (Video)

Lesson 17, Lesson 18: Relate decimal and fraction multiplication. (Video)

Lesson 19: Convert measures involving whole numbers, and solve multi-step word problems. (Video)

Lesson 20: Convert mixed unit measurements, and solve multi-step word problems. (Video)
8
5.NF.5

5.NF.6

F Multiplication with Fractions and Decimals as Scaling and Word Problems

Topic F Overview

Lesson 21: Explain the size of the product, and relate fraction and decimal equivalence to multiplying a fraction by 1. (Video)

Lesson 22, Lesson 23: Compare the size of the product to the size of the factors. (Video)

Lesson 24: Solve word problems using fraction and decimal multiplication. (Video)
4
5.OA.1

5.NBT.7

5.NF.7
G Division of Fractions and Decimal Fractions

Topic G Overview

Lesson 25: Divide a whole number by a unit fraction. (Video)

Lesson 26: Divide a unit fraction by a whole number. (Video)

Lesson 27: Solve problems involving fraction division. (Video)

Lesson 28: Write equations and word problems corresponding to tape and number line diagrams. (Video)

Lesson 29: Connect division by a unit fraction to division by 1 tenth and 1 hundredth. (Video)

Lesson 30, Lesson 31: Divide decimal dividends by non-unit decimal divisors. (Video)(Video)
7
5.OA.1

5.OA.2
H Interpretation of Numerical Expressions

Topic H Overview

Lesson 32: Interpret and evaluate numerical expressions including the language of scaling and fraction division. (Video)

Lesson 33: Create story contexts for numerical expressions and tape diagrams, and solve word problems. (Video)
2
End-of-Module Assessment: Topics A-H (assessment ½ day, return ½ day, remediation or further applications 2 days) 3
Total Number of Instructional Days 38

Standards Topics and Objectives (Module 5) Days
5.MD.3

5.MD.4
A Concepts of Volume

Module 5 Overview

Topic A Overview

Lesson 1: Explore volume by building with and counting unit cubes. (Video)

Lesson 2: Find the volume of a right rectangular prism by packing with cubic units and counting.(Video)

Lesson 3: Compose and decompose right rectangular prisms using layers. (Video)
3
5.MD.3

5.MD.5
B Volume and the Operations of Multiplication and Addition

Topic B Overview

Lesson 4: Use multiplication to calculate volume. (Video)

Lesson 5: Use multiplication to connect volume as packing with volume as filling. (Video)

Lesson 6: Find the total volume of solid figures composed of two non-overlapping rectangular prisms. (Video)

Lesson 7: Solve word problems involving the volume of rectangular prisms with whole number edge lengths. (Video)

Lesson 8, Lesson 9: Apply concepts and formulas of volume to design a sculpture using rectangular prisms within given parameters. (Video)
6
Mid-Module Assessment: Topics A-B (assessment 1 day, return ½ day, remediation or further applications ½ day) 2
5.NF.4b

5.NF.6
C Area of Rectangular Figures with Fractional Side Lengths

Topic C Overview

Lesson 10: Find the area of rectangles with whole-by-mixed and whole-by-fractional number side lengths by tiling, record by drawing, and relate to fraction multiplication. (Video)

Lesson 11: Find the area of rectangles with mixed-by-mixed and fraction-by-fraction side lengths by tiling, record by drawing, and relate to fraction multiplication. (Video)

Lesson 12: Measure to find the area of rectangles with fractional side lengths. (Video)

Lesson 13: Multiply mixed number factors, and relate to the distributive property and the area model. (Video)

Lesson 14, Lesson 15: Solve real world problems involving area of figures with fractional side lengths using visual models and/or equations. (Video) (Video)
6
5.G.3

5.G.4
D Drawing, Analysis, and Classification of Two-Dimensional Shapes

Topic D Overview

Lesson 16: Draw trapezoids to clarify their attributes, and define trapezoids based on those attributes. (Video)

Lesson 17: Draw parallelograms to clarify their attributes, and define parallelograms based on those attributes. (Video)

Lesson 18: Draw rectangles and rhombuses to clarify their attributes, and define rectangles and rhombuses based on those attributes. (Video)

Lesson 19: Draw kites and squares to clarify their attributes, and define kites and squares based on those attributes. (Video)

Lesson 20: Classify two-dimensional figures in a hierarchy based on properties. (Video)

Lesson 21: Draw and identify varied two-dimensional figures from given attributes. (Video)
6
End-of-Module Assessment: Topics A-D (assessment 1 day, return ½ day, remediation or further applications ½ day) 2
Total Number of Instructional Days 25

Standards Topics and Objectives (Module 6) Days
5.G.1 A Coordinate Systems

Module 6 Overview

Topic A Overview

Lesson 1: Construct a coordinate system on a line. (Video)

Lesson 2: Construct a coordinate system on a plane. (Video)

Lesson 3, Lesson 4: Name points using coordinate pairs, and use the coordinate pairs to plot points. (Video)

Lesson 5, Lesson 6: Investigate patterns in vertical and horizontal lines, and interpret points on the plane as distances from the axes. (Video)(Video)
6
5.OA.2

5.OA.3

5.G.1
B Patterns in the Coordinate Plane and Graphing Number Patterns from Rules

Topic B Overview

Lesson 7: Plot points, use them to draw lines in the plane, and describe patterns within the coordinate pairs. (Video)

Lesson 8: Generate a number pattern from a given rule, and plot the points. (Video)

Lesson 9: Generate two number patterns from given rules, plot the points, and analyze the patterns. (Video)

Lesson 10: Compare the lines and patterns generated by addition rules and multiplication rules. (Video)

Lesson 11: Analyze number patterns created from mixed operations. (Video)

Lesson 12: Create a rule to generate a number pattern, and plot the points.(Video)
6
Mid-Module Assessment: Topics A-B (assessment 1 day, return 1 day, remediation or further applications 1 day) 3
5.G.1

5.G.2
C Drawing Figures in the Coordinate Plane

Topic C Overview

Lesson 13: Construct parallel line segments on a rectangular grid. (Video)

Lesson 14: Construct parallel line segments, and analyze relationships of the coordinate pairs. (Video)

Lesson 15: Construct perpendicular line segments on a rectangular grid. (Video)

Lesson 16: Construct perpendicular line segments, and analyze relationships of the coordinate pairs. (Video)

Lesson 17: Draw symmetric figures using distance and angle measure from the line of symmetry. (Video)
5
5.OA.3

5.G.2
D Problem Solving in the Coordinate Plane

Topic D Overview

Lesson 18: Draw symmetric figures on the coordinate plane. (Video)

Lesson 19: Plot data on line graphs and analyze trends.(Video)

Lesson 20: Use coordinate systems to solve real world problems. (Video)
3
End-of-Module Assessment: Topics A-D (assessment 1 day, return 1 day, remediation or further applications 1 day) 3
5.NF.2

5.NF.3

5.NF.6

5.NF.7c

5.MD.1

5.MD.5

5.G.2
E Multi-Step Word Problems

Topic E Overview

Lesson 21, Lesson 22, Lesson 23, Lesson 24, Lesson 25: Make sense of complex, multi-step problems and persevere in solving them. Share and critique peer solutions. (Video)
5
F The Years in Review: A Reflection on A Story of Units

Topic F Overview

Lesson 26, Lesson 27: Solidify writing and interpreting numerical expressions. (Video)

Lesson 28: Solidify fluency with Grade 5 skills.

Lesson 29, Lesson 30: Solidify the vocabulary of geometry. (Video)

Lesson 31: Explore the Fibonacci sequence.

Lesson 32: Explore patterns in saving money. (Video)

Lesson 33, Lesson 34: Design and construct boxes to house materials for summer use. (Video)
9
Total Number of Instructional Days 40