# 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

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.

Write two multiplication facts for each array

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
= ______

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 