are the speeds 30 miles per 3 hours and 10 miles per hour the same?

Are the speeds 30 miles per 3 hours and 10 miles per hour the same?

In this lesson you will learn to define a unit rate as a special

kind of rate using a double number line.

Let’s Review

Rates are ratios that compare two or more quantities of different measures.

miles per hour

miles per gallon price per

pound

A Common Mistake

30 miles per hour

What are the two

quantities?1

30 miles for every 1 hour

Core Lesson

A unit rate is a rate where a quantity is always being compared to one of

another quantity.

Core Lesson

A car travels at a speed of 30 miles per 3 hours.

miles

hours 21

2010

3

30

0

0

10 miles per hour or 10 miles per 1 hour

Core Lesson

A unit rate is an equivalent, simplified rate.

miles

hours 21

2010

3

30

0

0

4

40

6

60

5

50

In this lesson you have learned to define a unit rate as a

special kind of rate by using a double number line.

Guided Practice

George mowed twelve lawns in four hours. What unit rate properly expresses this rate?

Extension Activities

Create a diagram to find the unit rate for the fuel efficiency rate of 75 miles per 3 gallons of fuel.

Using your diagram, write a few sentences explaining the computation you had to do to create this unit rate.

Extension Activities

Diagram this rate:

Annie decorates four cookies in two minutes.

Use your diagram to fill in the unit rates:

Annie decorates cookies per minute.

Challenge:Annie needs seconds per cookie.