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.

 

• Printable Multiplication Worksheets for 3rd Grade:

  Multiplication Strategies
  Represent Equal Groups as Multiplication
  Represent Multiplication using Arrays
  Meaning of Factors
  Commutative Property using Array Model
  Multiplication & Associative Property
  Multiplication & Distributive Property
  

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

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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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