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

Download the Worksheets for Grade 3, Module 1, lesson 16 (pdf)

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

• Show Step-by-step Solutions

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.

• 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.

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