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

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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 six modules.

Grade 5 Homework, Lesson Plans, and Worksheets

Topics and Objectives (Module 1)
A. Multiplicative Patterns on the Place Value Chart Standard: 5.NBT.1, 5.NBT.2, 5.MD.1 Days: 4 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)
B. Decimal Fractions and Place Value Patterns Standard: 5.NBT.3 Days: 2 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)
C. Place Value and Rounding Decimal Fractions Standard: 5.NBT.4 Days: 2 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)
Mid-Module Assessment: Topics A-C (assessment ½ day, return ½ day, remediation or further applications 1 day)
D. Adding and Subtracting Decimals Standard: 5.NBT.2, 5.NBT.3, 5.NBT.7 Days: 2 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)
E. Multiplying Decimals Standard: 5.NBT.1, 5.NBT.3, 5.NBT.7 Days: 2 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)
F. Dividing Decimals Standard: 5.NBT.3, 5.NBT.7 Days: 4 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)
End-of-Module Assessment: Topics A-F (assessment ½ day, return ½ day, remediation or further applications 1 day)
Total Number of Instructional Days: 20

Topics and Objectives (Module 2)
A. Mental Strategies for Multi-Digit Whole Number Multiplication Standard: 5.NBT.1, 5.NBT.2, 5.OA.1 Days: 2 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)
B. The Standard Algorithm for Multi-Digit Whole Number Multiplication Standard: 5.OA.1, 5.OA.2, 5.NBT.5 Days: 7 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)
C. Decimal Multi-Digit Multiplication Standard: 5.NBT.7, 5.OA.1, 5.OA.2, 5.NBT.1 Days: 3 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)
D. Measurement Word Problems with Whole Number and Decimal Multiplication Standard: 5.NBT.7, 5.NBT.7, 5.MD.1 Days: 3 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)
Mid-Module Assessment: Topics A-D (assessment ½ day, return ½ day, remediation or further applications 2 days)
E. Mental Strategies for Multi-Digit Whole Number Division Standard: 5.NBT.1, 5.NBT.2, 5.NBT.6 Days: 3 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)
F. Partial Quotients and Multi-Digit Whole Number Division Standard: 5.NBT.6 Days: 5 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)
G. Partial Quotients and Multi-Digit Decimal Division Standard: 5.NBT.2, 5.NBT.7 Days: 4 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)
H. Measurement Word Problems with Multi-Digit Division Standard: 5.NBT.6, 5.NBT.7 Days: 2 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)
End-of-Module Assessment: Topics A-H (assessment ½ day, return ½ day, remediation or further application 2 days)
Total Number of Instructional Days: 35

Topics and Objectives (Module 3)
A. Equivalent Fractions Standard: 5.NF.1, 5.NF.3 Days: 2 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)
B. Making Like Units Pictorially Standard: 5.NF.1, 5.NF.2 Days: 5 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)
Mid-Module Assessment: Topics A-B (assessment ½ day, return ½ day, remediation or further applications 2 day)
C. Making Like Units Numerically Standard: 5.NF.1, 5.NF.2 Days: 5 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)
D. Further Applications Standard: 5.NF.1, 5.NF.2 Days: 4 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)
End-of-Module Assessment: Topics C-D (assessment ½ day, return ½ day, remediation or further applications 2 day)
Total Number of Instructional Days: 22

Topics and Objectives (Module 4)
A. Line Plots of Fraction Measurements Standard: 5.MD.2 Days: 1 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)
B. Fractions as Division Standard: 5.NF.3 Days: 4 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)
C. Multiplication of a Whole Number by a Fraction Standard: 5.NF.4a Days: 4 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)
D. Fraction Expressions and Word Problems Standard: 5.OA.1, 5.OA.2, 5.NF.4a, 5.NF.6 Days: 3 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)
Mid-Module Assessment: Topics A-D (assessment ½ day, return ½ day, remediation or further applications 1 day)
E. Multiplication of a Fraction by a Fraction Standard: 5.NBT.7, 5.NBT.4a, 5.NF.6, 5.MD.1 Days: 8 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)
F. Multiplication with Fractions and Decimals as Scaling and Word Problems Standard: 5.NF.5, 5.NF.6 Days: 4 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)
G. Division of Fractions and Decimal Fractions Standard: 5.OA.1, 5.NBT.7, 5.NF.7 Days: 7 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)
H. Interpretation of Numerical Expressions Standard: 5.OA.1, 5.OA.2 Days: 2 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)
End-of-Module Assessment: Topics A-H (assessment ½ day, return ½ day, remediation or further applications 2 days)
Total Number of Instructional Days: 38

Topics and Objectives (Module 5)
A. Concepts of Volume Standard: 5.MD.3, 5.MD.4 Days: 3 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)
B. Volume and the Operations of Multiplication and Addition Standard: 5.MD.3, 5.MD.5 Days: 6 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)
Mid-Module Assessment: Topics A-B (assessment 1 day, return ½ day, remediation or further applications ½ day)
C. Area of Rectangular Figures with Fractional Side Lengths Standard: 5.NF.4b, 5.NF.6 Days: 6 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)
D. Drawing, Analysis, and Classification of Two-Dimensional Shapes Standard: 5.G.3, 5.G.4 Days: 6 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)
End-of-Module Assessment: Topics A-D (assessment 1 day, return ½ day, remediation or further applications ½ day)
Total Number of Instructional Days: 25

Topics and Objectives (Module 6)
A. Coordinate Systems Standard: 5.G.1 Days: 6 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)
B. Patterns in the Coordinate Plane and Graphing Number Patterns from Rules Standard: 5.OA.2, 5.OA.3, 5.G.1 Days: 6 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)
Mid-Module Assessment: Topics A-B (assessment 1 day, return 1 day, remediation or further applications 1 day)
C. Drawing Figures in the Coordinate Plane Standard: 5.G.1, 5.G.2 Days: 5 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)
D. Problem Solving in the Coordinate Plane Standard: 5.OA.3, 5.G.2 Days: 3 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)
End-of-Module Assessment: Topics A-D (assessment 1 day, return 1 day, remediation or further applications 1 day)
E. Multi-Step Word Problems Standard: 5.NF.2, 5.NF.3, 5.NF.6, 5.NF.7c, 5.MD.1, 5.MD.5, 5.G.2 Days: 5 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)
F. The Years in Review: A Reflection on A Story of Units Days: 9 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)
Total Number of Instructional Days: 40

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