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

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Presentation on theme: "Are the speeds 30 miles per 3 hours and 10 miles per hour the same?"— Presentation transcript:

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

2 In this lesson you will learn to define a unit rate as a special kind of rate using a double number line.

3 Let’s Review Rates are ratios that compare two or more quantities of different measures. miles per hour miles per gallon price per pound

4 A Common Mistake 30 miles per hour What are the two quantities? 1 30 miles for every 1 hour

5 Core Lesson A unit rate is a rate where a quantity is always being compared to one of another quantity.

6 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

7 Core Lesson A unit rate is an equivalent, simplified rate. miles hours 21 2010 3 30 0 0 4 40 6 60 5 50

8 In this lesson you have learned to define a unit rate as a special kind of rate by using a double number line.

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

10 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.

11 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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