**Module 3: Multiplication and Division with Units of 0, 1, 6–9, and Multiples of 10**

This module builds directly on students’ work with multiplication and division in Module 1. Module 3 extends the study of factors from 2, 3, 4, 5, and 10 to include all units from 0 to 10, as well as multiples of 10 within 100. Similar to the organization of Module 1, the introduction of new factors in Module 3 spreads across topics. This allows students to build fluency with facts involving a particular unit before moving on. The factors are sequenced to facilitate systematic instruction with increasingly sophisticated strategies and patterns.

**Topic A: The Properties of Multiplication and Division**__Math News Parent Resource - Courtesy of Lafayette Schools____Lesson 1: Study commutativity to find known facts of 6, 7, 8, and 9.__

Lesson 2: Apply the distributive and commutative properties to relate multiplication facts 5 ×

Lesson 3: Multiply and divide with familiar facts using a letter to represent the unknown

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.Lesson 3: Multiply and divide with familiar facts using a letter to represent the unknown

*.***Topic B: Multiplication and Division Using Units of 6 and 7**__Math News Parent Resource - Courtesy of Lafayette Schools__

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

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

Lesson 7: Interpret the unknown in multiplication and division to model and solve problems using units of 6 and 7.*Lesson 4:*Count by units of 6 to multiply and divide using number bonds to decompose.Lesson 5 Count by units of 7 to multiply and divide using number bonds to decompose.

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

Lesson 7: Interpret the unknown in multiplication and division to model and solve problems using units of 6 and 7.

**Topic C: Multiplication and Division Using Units up to 8**__Math News Parent Resource - Courtesy of Lafayette Schools__**Lesson 8: Understand the function of parentheses and apply to solving problems.**

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

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

Lesson 11: Interpret the unknown in multiplication and division to model and solve problems.Lesson 9: Model the associative property as a strategy to multiply.

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

Lesson 11: Interpret the unknown in multiplication and division to model and solve problems.

**Topic D: Multiplication and Division Using Units of 9**__Math News Parent Resource - Courtesy of Lafayette Schools__**Lesson 12: Apply the distributive property and the fact 9 = 10 – 1 as a strategy to multiply.**

Lesson 13: Identify and use arithmetic patterns to multiply.

Lesson 14: Identify and use arithmetic patterns to multiply.

Lesson 15: Interpret the unknown in multiplication and division to model and solve problems.Lesson 13: Identify and use arithmetic patterns to multiply.

Lesson 14: Identify and use arithmetic patterns to multiply.

Lesson 15: Interpret the unknown in multiplication and division to model and solve problems.

**Topic E: Analysis of Patterns and Problem Solving Including Units of 0 and 1**__Math News Parent Resource - Courtesy of Lafayette Schools__**Lesson 16: Reason about and explain arithmetic patterns using units of 0 and 1 as they relate to multiplication and division.**

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

Lesson 18: Solve two-step word problems involving all four operations and assess the reasonableness of solutions.Lesson 17: Identify patterns in multiplication and division facts using the multiplication table.

Lesson 18: Solve two-step word problems involving all four operations and assess the reasonableness of solutions.

**Topic F: Multiplication of Single-Digit Factors and Multiples of 10**__Math News Parent Resource - Courtesy of Lafayette Schools__

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

Lesson 20: Use place value strategies and the associative property

Lesson 21: Solve two-step word problems involving multiplying single-digit factors and multiples of 10.

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

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 multiples of 10.Lesson 21: Solve two-step word problems involving multiplying single-digit factors and multiples of 10.