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Are the speeds 30 miles per 3 hours and 10 miles per hour the same?
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In this lesson you will learn to define a unit rate as a special
kind of rate using a double number line.
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Let’s Review
Rates are ratios that compare two or more quantities of different measures.
miles per hour
miles per gallon price per
pound
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A Common Mistake
30 miles per hour
What are the two
quantities?1
30 miles for every 1 hour
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Core Lesson
A unit rate is a rate where a quantity is always being compared to one of
another quantity.
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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
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Core Lesson
A unit rate is an equivalent, simplified rate.
miles
hours 21
2010
3
30
0
0
4
40
6
60
5
50
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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?](https://reader031.vdocument.in/reader031/viewer/2022032705/56649dbf5503460f94ab2a75/html5/thumbnails/9.jpg)
Guided Practice
George mowed twelve lawns in four hours. What unit rate properly expresses this rate?
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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.
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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.