If you know you walked 5 miles in 2 hours, is there a way to figure out how

long it took you to travel 15 miles?

In this lesson you will learn to solve for missing values in a rate problem by setting up a

double number line.

Let’s Review

A rate can have equivalent rates just like a fraction can have equivalent

fractions.

2 miles 1 hour

x3

x3

6 miles 3 hours

A Common Mistake

5 2

wrong line!

miles

hours

?

15

Your rate of speed is 5 miles per 2 hours. You traveled 15 miles.

Core Lesson

Avery mowed 7 lawns in 4 hours. At that rate how long will it take him to mow 21 lawns?

How can I use the rate to help set up

and solve?

Core Lesson

Lawns7

4

14

8

21

12

+7

+4

Hours

+7

+4

7 lawns per 4 hours

21 lawns? hours

Avery mows 21 lawns in 12 hours.

Core Lesson

+7

+7

+4 +4

x 3

x 3

multiplicative reasoning

additive reasoning

Lawns7

4

14

8

21

12

Hours

In this lesson you have learned to solve for missing values in a rate problem by setting up a

double number line.

Guided Practice

At the register, Annie noticed that her hummus was on sale 2 containers for $4.50. How many containers can she purchase with $18?

Extension Activities

second

feet 1 3 5

8 12 16

Fill in the missing values of the double number line.

Write a paragraph explaining what rate properties were used to create and fill in the lines.

Extension ActivitiesAnnie decorates cookies at a rate of 3 in 4 minutes and she decorates cupcakes at a rate of 4 in 5 minutes. Her school needs 21 desserts to sell in a bake sale.

How many cupcakes and cookies will she make? (answers may vary)

How long will it take her?

Create a double number line to support your work.

Quick Quiz

George mows 4 lawns in three hours. If he works for 6 hours on Monday, how many lawns does he mow?

A cereal brand is on sale $2 for 32 oz. If Sally spent $8 on the cereal, how many ounces did she purchase?