Properties of Multiplication and Division and Solving Problems with Units of 2-5 and 10 

Module 1 Lessons:

Topic A: Multiplication and the Meaning of the Factors

• Lesson 1: Understand equal groups of as multiplication.

• Lesson 2: Relate multiplication to the array model.

• Lesson 3: Interpret the meaning of factors -- the size of the group or the number of groups.

Topic B: Division as an Unknown Factor Problem

• Lesson 4: Understand the meaning of the unknown as the size of the group in division.

• Lesson 5: Understand the meaning of the unknown as the number of groups in division.

• Lesson 6: Interpret the unknown in division using the array model.

Topic C: Multiplication Using Units of 2 and 3

• Lesson 7: Demonstrate the commutativity of multiplication, and practice related facts by skip-counting objects in array models.

• Lesson 8: Demonstrate the commutativity of multiplication, and practice related facts by skip-counting objects in array models.

• Lesson 9: Find related multiplication facts by adding and subtracting equal groups in array models.

• Lesson 10: Model the distributive property with arrays to decompose units as a strategy to multiply.

Topic D: Division Using Units of 2 and 3

• Lesson 11: Model division as the unknown factor in multiplication using arrays and tape diagrams.

• Lesson 12: Interpret the quotient as the number of groups or the number of objects in each group using units of 2.

• Lesson 13: Interpret the quotient as the number of groups or the number of objects in each group using units of 3.

Topic E: Multiplication and Division Using Units of 4

• Lesson 14: Skip-count objects in models to build fluency with multiplication facts using units of 4.

• Lesson 15: Relate arrays to tape diagrams to model the commutative property of multiplication.

• Lesson 16: Use the distributive property as a strategy to find related multiplication facts.

• Lesson 17: Model the relationship between multiplication and division.

Topic F: Distributive Property and Problem Solving Using Units of 2–5 and 10

• Lesson 18: Apply the distributive property to decompose units.

• Lesson 19: Apply the distributive property to decompose units.

• Lesson 20: Solve two-step word problems involving multiplication and division and assess the reasonableness of answers.

• Lesson 21: Solve two-step word problems involving all four operations and assess the reasonableness of answers.