# Division using the Array Model

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Lesson Plans and Worksheets for Grade 3
Lesson Plans and Worksheets for all Grades

Examples, solutions, and videos to help Grade 3 students learn how to interpret the unknown in division using the array model.

Common Core Standards:3.OA.1, 3.OA.3

New York State Common Core Math Grade 3, Module 1, Lesson 6

Grade 3, Module 1, Lesson 6 Worksheets (pdf)

The following diagram shows how to use the array model for division and multiplication. Scroll down the page for more examples and solutions.

Lesson 6 Concept Development
Word Problem: 20 children play a game. There are 5 children on each team. How many teams play the game? Write a division sentence to represent the problem.

Problem 1: Relate division to an array model.

Problem 2: Use an array to relate the unknown factor in multiplication to the quotient in division.

Problem 3: Relate multiplication and division.

Word Problem: I have 12 books. I put 4 books in each shelf. How many shelves will I need?

Lesson 6 Homework
1. Mr. Hannigan puts 12 pencils into boxes. Each box holds 4 pencils. Circle groups of 4 to show the pencils in each box.
Mr. Hannigan needs _______ boxes.
______ × 4 = 12
12 ÷ 4 = ______

2. Mr. Hannigan places 12 pencils into 3 equal groups. Draw to show how many pencils are in each group.
There are _______ pencils in each group.
3 × ______ = 12
12 ÷ 3 = ______

3. Use an array to model Problem 1.
a) ______ × 4 = 12
12 ÷ 4 = ______
The number in the blanks represents:

b) 3 × ______ = 12
12 ÷ 3 = ______
The number in the blanks represents:

4. Judy washes 24 dishes. She then dries and stacks the dishes equally into 4 piles.
How many dishes are in each pile?
24 ÷ 4 = _______
4 × ________ = 24
What is the meaning of the unknown factor and quotient?

5. Nate solves the problem _____ × 5 = 15 by writing and solving 15 ÷ 5 = ____.
Explain why Nate’s method works.

6. The blanks in Problem 5 represent the number of groups. Draw an array to represent the number sentences.

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