Commutativity for Multiplication


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Lesson Plans and Worksheets for Grade 3
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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.




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
    = ______

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