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Do the Math!
NAME
b r i n g s m
Using Disks to Model Remainders In “Planet Protector” you practiced dividing numbers and expressing remainders. Because multiplication and division are inverse operations, you can use what you know about modeling multiplication problems to help you solve division problems with a remainder. First, think of a multiplication product that is less than your dividend. Then draw your multiplication model and add the remainder. Try it with the questions below.
3 Solve the following division expression. Use disks to model your answer. 27 ÷ 6
1 A In the following model, name the number of groups and number of items in each group.
Number of groups: Number of items in each group: 1 B Write a multiplication equation based on the model in part A. What is your product? 1 C You can also use the model and your product from part B to represent a division equation. Write a division sentence that describes the model: 15 divided evenly into 3 groups. What is the dividend, or number of disks in each group?
4 You can also use a grid instead of disks to model your answer. Fill in the blanks below.
45 ÷ __________ = __________ R________
5 Solve the following problem, modeling your answer using the method of your choice. 53 ÷ 7 =
2 Use the model below to fill in the blanks. 19 ÷ __________ = __________ R1
DYNAMATH
Teacher: Ask students to complete this work independently or with a partner. Purpose: To use disks and grids to represent and solve division problems with remainders
30 Session 14
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