Associative Property

Videos, examples, solutions, and lessons to help Grade 3 students learn how to model the associative property as a strategy to multiply.

Common Core Standards: 3.OA.3, 3.OA.4, 3.OA.5, 3.OA.7, 3.OA.1, 3.OA.2, 3.OA.6, 3.OA.8

New York State Common Core Math Module 3, Grade 3, Lesson 9

Application Problem

Complete the Application Problems Sheet

These problems give students practice solving equations with parentheses. This sequence of problems is specifically designed so that students recognize that the position of the parentheses does not change the answer in multiplication problems with more than two factors. (The same is true for addition.)

Concept Development

Rewrite 16 × 3 as (8 ×2) × 3 and then as 8 × (2 × 3) = 8 × 6 = 48

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1. Use the array to complete the equation.
   a) 3 × 12 = _____
   b) (3 × 3) × 4
   = _____ × 4
   = _____

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Lesson 9 Homework

1. Use the array to complete the equation.
   a. 3 × 16 = _____
   b. (3 × ____) × 8
   = _____ × _____
   = _____
   
2. Place ( ) in the equations to simplify and solve.

• Show Step-by-step Solutions

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.

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