Lesson Ratios, Rates, and Unit Rate
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• Slide 1
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Ratios, Rates, and Unit Rate

Text • Slide 2
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Ratio

A comparison of two numbers using division

You can write a ratio in 3 different forms: fraction, colon, the word "to"

You can use a ratio to compare information in three different settings: a part-to-part comparison, a part-to-whole comparison, or a whole-to-part comparison

• Question 3
60 seconds
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Q.

What are the 3 ways you can write a ratio?

fraction

colon

the word "to"

part-to-part

• Question 4
30 seconds
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Q.

7 girls to 5 boys

part-to-part

part-to-whole

whole-to-part

• Question 5
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Q.

7 girls to all the students in the class

part-to-part

part-to-whole

whole-to-part

• Question 6
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Q.

all the students in the class to 5 boys

whole-to-part

part-to-part

part-to-whole

• Slide 7
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Equivalent Ratios

• equivalent ratios work like fractions, whatever you do to the top (numerator), you have to do to the bottom (denominator

• Question 8
45 seconds
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Q.

1:2 is equivalent to 2:4

yes, the top and bottom were both multiplied by 2

no

• Question 9
60 seconds
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Q.

4:7 is equivalent to 8:_

7

32

14

• Question 10
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Q.

8:9 is equivalent to 24: ____

36

27

16

• Question 11
45 seconds
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Q.

8:5 is equivalent to 16:_

8

16

10

• Question 12
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Q.

I understand how to find an equivalent ratio.

yes

no

• Slide 13
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Rate

• A rate is a comparison of two measurements with different units of measure and is considered to be a special kind of ratio. For example, 12 golf balls for \$6 can be written as 12:6. This RATE compares golf balls to their price.

• Question 14
180 seconds
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Q.

What is the difference between a ratio and a rate?

• Question 15
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Q.

Write this rate in simplest form : 12:144

6:72

3:36

1:12

• Question 16
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Q.

Write this ratio in simplest form: 72:9

8:1

24:3

1:8

• Slide 17
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Unit Rate

• A rate with a denominator of 1.

• When finding the unit rate, simplify the ratio.

• You could also divide.

• Basically think... "How much is just 1?"

• Question 18
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Q.

Find the unit rate: 10 miles in 5 hours

2 miles in 1 hour

1 mile in 2 hours

• Question 19
120 seconds
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Q.

Find the unit rate. 8 apples for \$3.

You can't do that, it doesn't divide out evenly

0.375

0.38

2.6666......

2.67

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