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
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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 × 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
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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
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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.
Topic D: Multiplication and Division Using Units of 9
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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.
Topic E: Analysis of Patterns and Problem Solving Including Units of 0 and 1
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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.
Topic F: Multiplication of Single-Digit Factors and Multiples of 10
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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.
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 × 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
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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
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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.
Topic D: Multiplication and Division Using Units of 9
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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.
Topic E: Analysis of Patterns and Problem Solving Including Units of 0 and 1
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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.
Topic F: Multiplication of Single-Digit Factors and Multiples of 10
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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.