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.

• Show Video

Write two multiplication facts for each array

• Show Step-by-step Solutions

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
   = ______

• Show Step-by-step Solutions

Check out our most popular games!
Fraction Concoction	Fact Family Game	Number Bond Garden
Online Addition Subtraction Game	Penguin Solitaire	Sawayama Solitaire
Ark Solitaire	Eldritch Invasion	Shenzhen Solitaire

Check out more Solitaire games here.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.