# Reasoning About Multiplication & Division

Grades 3-5 / Math / Strategies
CCSS: Math.3.OA.B.5

Common Core State Standards

 Math Math 3 Grade 3 OA Operations & Algebraic Thinking B Understand properties of multiplication and the relationship between multiplication and division 5 Apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for these properties.) Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.) Download Common Core State Standards (PDF 1.2 MB)

### Objective

Build understanding of multiplication and division

7 min

### Questions to Consider

• How do Mr. Crandall's students learn from each other?
• Mr. Crandall says it's important to give students time to make sense of their ideas. How does he do that?
• How does Mr. Crandall give students opportunities to revise their thinking?

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Common Core Standards
Math.3.OA.B.5