# Lesson 5 Homework 5.1

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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) |
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A. Multiplicative Patterns on the Place Value ChartStandard: 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 PatternsStandard: 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 FractionsStandard: 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 DecimalsStandard: 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 DecimalsStandard: 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 DecimalsStandard: 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) |
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A. Mental Strategies for Multi-Digit Whole Number MultiplicationStandard: 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 MultiplicationStandard: 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 MultiplicationStandard: 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 MultiplicationStandard: 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 DivisionStandard: 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 DivisionStandard: 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 DivisionStandard: 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 DivisionStandard: 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) |
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A. Equivalent FractionsStandard: 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 PictoriallyStandard: 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 NumericallyStandard: 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 ApplicationsStandard: 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) |
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A. Line Plots of Fraction MeasurementsStandard: 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 DivisionStandard: 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 FractionStandard: 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 ProblemsStandard: 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 FractionStandard: 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 ProblemsStandard: 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 FractionsStandard: 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 ExpressionsStandard: 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) |
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A. Concepts of VolumeStandard: 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 AdditionStandard: 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 LengthsStandard: 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 ShapesStandard: 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) |
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A. Coordinate SystemsStandard: 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 RulesStandard: 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 PlaneStandard: 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 PlaneStandard: 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 ProblemsStandard: 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 UnitsDays: 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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