Commutativity for Multiplication

Videos, examples, solutions, and lessons to help Grade 3 students learn how to study commutativity to find known facts of 6, 7, 8, and 9.

Common Core Standards: 3.OA.4, 3.OA.5, 3.OA.7, 3.OA.9, 3.OA.1, 3.OA.2, 3.OA.3, 3.OA.6

New York State Common Core Math Grade 3, Module 3, Lesson 1
Download Worksheet for Common Core Grade 3, Module 3, Lesson 1

Mixed Multiplication Worksheet Sprint A
Mixed Multiplication Worksheet Sprint B

Application Problem

Geri brings 3 water jugs to her soccer game to share with teammates. Each jug contains 6 liters of water. How many liters of water does Geri bring?

Note: This problem reviews multiplication with 3 units of 6 to solve word problems while also reinforcing measurement concepts. It leads into the discussion of commutativity in the Concept Development.

Concept Development

Part 1: Explore commutativity as it relates to multiplication.
Use tape diagrams to show that multiplication is commutative.

Part 2: Use the multiplication chart to find known facts through commutativity.

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Write two multiplication facts for each array

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Lesson 1 Homework

1. Complete the charts below.
   a. A tricycle has 3 wheels.
   b. A tiger has 4 legs.
   c. A pack has 5 erasers.
2. Write two multiplication facts for each array.
3. Match the expressions.
4. Complete the equations.
   a. 2 sixes = ______ twos
   = 12
   b. _____ × 6 = 6 threes
   = _______
   c. 4 × 8 = _____ × 4
   = _______
   d. 4 × _____ = _____ × 4
   = 28
   e. 5 twos + 2 twos = _____ × _____
   = _______
   f. _____ fives + 1 five = 6 × 5
   = ______

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