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?

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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.

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

Let’s Review

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

miles per hour

miles per gallon price per

pound

Page 4: Are the speeds 30 miles per 3 hours and 10 miles per hour the same?

A Common Mistake

30 miles per hour

What are the two

quantities?1

30 miles for every 1 hour

Page 5: Are the speeds 30 miles per 3 hours and 10 miles per hour the same?

Core Lesson

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

another quantity.

Page 6: Are the speeds 30 miles per 3 hours and 10 miles per hour the same?

Core Lesson

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

miles

hours 21

2010

10 miles per hour or 10 miles per 1 hour

Page 7: Are the speeds 30 miles per 3 hours and 10 miles per hour the same?

Core Lesson

A unit rate is an equivalent, simplified rate.

miles

hours 21

2010

Page 8: Are the speeds 30 miles per 3 hours and 10 miles per hour the same?

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

special kind of rate by using a double number line.

Page 9: Are the speeds 30 miles per 3 hours and 10 miles per hour the same?

Guided Practice

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

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

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.

Page 11: Are the speeds 30 miles per 3 hours and 10 miles per hour the same?

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.

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