Multiplication and Division with Units of 0, 1, 6–9, and Multiples of 10

Module 3 Lessons:

Topic A: The Properties of Multiplication and Division

• 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 x n + n to 6 x n and n x 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

• 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

• 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

• 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

• 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

• Lesson 19: Multiply by multiples of 10 using the place value chart.
• Lesson 20: Use place value strategies and the associative property n x (m x 10) = (n x m) x 10 (where n and m are less than 10) to multiply by multiples of 10.
• Lesson 21: Solve two-step word problems involving multiplying single-digit factors and multiples of 10.