Division using the Array Model
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Lesson Plans and Worksheets for Grade 3
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More Lessons for Grade 3
Common Core For Grade 3
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
Worksheets for Grade 3
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
- 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 = ______ - 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 = ______ - 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: - 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? - Nate solves the problem _____ × 5 = 15 by writing and solving 15 ÷ 5 = ____.
Explain why Nate’s method works. - The blanks in Problem 5 represent the number of groups. Draw an array to represent the number sentences.
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