Ratios, Rates, and Unit Rate

Ratios, Rates, and Unit Rate

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

Multiple Select

What are the 3 ways you can write a ratio?

• fraction

• colon

• the word "to"

• part-to-part

Multiple Choice

7 girls to 5 boys

• part-to-part

• part-to-whole

• whole-to-part

Multiple Choice

7 girls to all the students in the class

• part-to-part

• part-to-whole

• whole-to-part

Multiple Choice

all the students in the class to 5 boys

• whole-to-part

• part-to-part

• part-to-whole

Equivalent Ratios

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

Multiple Choice

1:2 is equivalent to 2:4

• yes, the top and bottom were both multiplied by 2

• no

Multiple Choice

4:7 is equivalent to 8:_

• 7

• 32

• 14

Multiple Choice

8:9 is equivalent to 24: ____

• 36

• 27

• 16

Multiple Choice

8:5 is equivalent to 16:_

• 8

• 16

• 10

Poll

I understand how to find an equivalent ratio.

• yes

• no

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.

Open Ended

What is the difference between a ratio and a rate?

Multiple Choice

Write this rate in simplest form : 12:144

• 6:72

• 3:36

• 1:12

Multiple Choice

Write this ratio in simplest form: 72:9

• 8:1

• 24:3

• 1:8

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?"

Multiple Choice

Find the unit rate: 10 miles in 5 hours

• 2 miles in 1 hour

• 1 mile in 2 hours

Multiple Choice

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