Distributive Property and Multiplication Facts

Examples, solutions, and videos to help Grade 3 students learn how to use the distributive property as a strategy to find related multiplication facts.

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

New York State Common Core Math Grade 3, Module 1, Lesson 16

The following diagram shows how to use the distributive property as a strategy to find related multiplication facts.

Lesson 16 Concept Development
Problem 1: Model the 5 + n pattern as a strategy for multiplying using units of 4.
6 × 4, 7 × 4

Problem 2: Apply the 5 + n pattern to decompose and solve larger facts.
8 × 4

Lesson 16 Homework

1. Label the array. Then fill in the blanks below to make the statements true.
6 × 4 = _____
(5 × 4) = 20
( __ × 4) = ___
(6 × 4) = (5 × 4) + ( __ × 4)
= 20 + _____
= ____
b) 8 × 4 = _____
(5 × 4) = ______
( ____ × 4) = _____
(1 × 4)
= ______
(8 × 4) = (5 × 4) + ( ___ × 4)
= ______ + ______
= ______
2. Match the multiplication facts with their answers.
3. The array below shows one strategy for solving 4 × 9. Explain the strategy using your own words.
(5 × 4) = ____
(4 × 4) = ____
4. The array below shows one strategy for solving 4 × 9. Explain the strategy using your own words.

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