### NYS COMMON CORE MATHEMATICS CURRICULUM LESSON 26 HOMEWORK 5.2

Fluently multiply multi-digit whole numbers using the standard algorithm to solve multi-step word problems. Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies. Fraction Expressions and Word Problems Standard: Interpret and evaluate numerical expressions including the language of scaling and fraction division. Compare the size of the product to the size of the factors. Solve two-step word problems involving measurement and multi-digit multiplication. Multiplication of a Whole Number by a Fraction Standard:

Topics A-D assessment 1 day, return 1 day, remediation or further applications 1 day. Explore the Fibonacci sequence. Round a given decimal to any place using place value understanding and the vertical number line. Fractions as Division Standard: Solidify fluency with Grade 5 skills. Apply concepts and formulas of volume to design a sculpture using rectangular prisms within given parameters.

Decimal Multi-Digit Multiplication Standard: Convert mixed unit measurements, mathemahics solve multi-step word problems. Subtract fractions from numbers between 1 and 2. Convert numerical expressions into unit form as a mental strategy for multi-digit multiplication. Multiply decimal fractions with tenths by multi-digit whole coee using place value understanding to record partial products. Measure to find the area of rectangles with fractional side lengths. Fluently multiply multi-digit whole numbers using the standard algorithm and using estimation to check for reasonableness of the product.

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.

# Homework Help / Module 2

Connect area diagrams and the distributive property to partial products of the standard algorithm without renaming. Use basic facts to approximate decimal quotients with two-digit divisors, reasoning about the placement of the decimal point. Make equivalent fractions with the number line, the area model, and numbers.

Interpret and evaluate mathemxtics expressions including the language of scaling and fraction division. Name decimal fractions in expanded, unit, and word forms by applying place value reasoning. Compare the lines and patterns generated by addition rules and multiplication rules.

Making Like Units Pictorially Standard: Add decimals using place value strategies and relate those strategies to a written method. Explore the Fibonacci sequence. Multiply any whole number by a fraction using tape diagrams.

Multiply a decimal fraction by single-digit whole numbers, including using estimation to confirm the placement of the decimal point.

Compose and decompose right rectangular prisms using layers. Reason abstractly using place value understanding to relate adjacent base ten units from millions to thousandths. Solve multi-step word problems; assess reasonableness of solutions using benchmark numbers. Construct perpendicular line segments on a rectangular grid.

Draw symmetric figures on the coordinate plane. Multiply unit fractions by unit fractions. Explain the size of the product, and relate fraction and decimal equivalence to multiplying a fraction by 1. Multiply multi-digit whole numbers and multiples of 10 using place value patterns and the distributive and associative properties.

Find a fraction of a measurement, and solve word problems. Apply concepts and formulas of volume to design a sculpture using rectangular prisms within given parameters. Video Lesson 14Lesson Video Lesson 3Lesson 4: Connect division by a unit fraction to division by 1 tenth and 1 hundredth. Construct parallel line segments on a rectangular grid.

## Parents/Students

Use tape diagrams to model fractions as division. Use basic facts to approximate quotients with two-digit divisors. Draw parallelograms to clarify their attributes, and define cruriculum based on those attributes.

Divide decimals with a remainder using place value understanding and relate to a written method.