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Get Full AccessUnit Rates
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What you will learn from this videoWhat you will learn
 We'll learn that a unit rate is a special type of ratio that compares the first quantity to one unit of the second quantity.
 We will also learn how to calculate unit rates with whole numbers, then decimals and finally fractions.
 And we'll see how this knowledge can help us buy tacos, drive a gokart, and make dog treats.

Discussion Questions
Before Video
Draw a picture to represent the following sentence.
The ratio of red circles to blue circles is 3 : 5.ANSWERStudents may draw something similar to 3 red circles and 5 blue circles.
3 : 5
6 : 7
[ggfrac]1/4[/ggfrac], [ggfrac]2/8[/ggfrac], [ggfrac]8/32[/ggfrac]
[ggfrac]2/3[/ggfrac] and [ggfrac]8/12[/ggfrac]ANSWERThese are equivalent ratios. Each ratio says that for every two of one thing, there are 3 of another. Multiply the numerator and denominator of [ggfrac]2/3[/ggfrac] by 4 to find [ggfrac]8/12[/ggfrac].
After Video
There are 36 people in 9 cars. There is the same number of people in each car. How can you use equivalent ratios to find the unit rate?ANSWERThe rate is 36 people per 9 cars, or [ggfrac]36/9[/ggfrac].
[ggfrac]36/9[/ggfrac] = [ggfrac]12/3[/ggfrac] = [ggfrac]4/1[/ggfrac]
The unit rate is 4 people per car.
The unit rate is $9.50 per shirt. I found the unit rate by dividing $66.50 by 7.
Tala’s Sporting Goods Store:
[ggfrac]$33/6[/ggfrac] = [ggfrac]$5.50/1[/ggfrac] The unit rate is $5.50 per baseball.
Osher's Sporting Goods Store:
[ggfrac]$24/4[/ggfrac] = [ggfrac]$6/1[/ggfrac] The unit rate is $6.00 per baseball.
Tala’s Sporting Goods Store has a better deal.
[ggfrac]36/8[/ggfrac] = [ggfrac]4.5/1[/ggfrac], so the unit rate is 4.5 hours per day.
4.5 × 20 = 90. Marcos works 90 hours in 20 days.
Rate of flour to sugar: 2[ggfrac]1/4[/ggfrac] / 1[ggfrac]1/2[/ggfrac]
Unit rate of flour to sugar:
2[ggfrac]1/4[/ggfrac] / 1[ggfrac]1/2[/ggfrac] = [ggfrac]9/4[/ggfrac] x [ggfrac]2/3[/ggfrac] = [ggfrac]18/22[/ggfrac] = [ggfrac]3/2[/ggfrac] cups of flour for every cup of sugar
Multiply [ggfrac]3/2[/ggfrac] × 9 to find out how much flour she needs:
[ggfrac]3/2[/ggfrac] x 9 = 13[ggfrac]1/2[/ggfrac] cups of flour
Sandra needs 13[ggfrac]1/2[/ggfrac] cups of flour to make the cookies with 9 cups of sugar.

Vocabulary
 Rate DEFINE
A quantity measured with respect to another quantity.
 Fraction DEFINE
A fraction shows how many parts of a whole you have.
 Denominator DEFINE
The bottom number in a fraction. Shows how many parts are in the whole.
 Numerator DEFINE
The top number in a fraction. Shows how many parts of the whole you have.
 Unit rate DEFINE
A ratio with denominator 1.
 Ratio DEFINE
A comparison between two quantities.
 Equivalent ratio DEFINE
Ratios are equivalent if one can be expressed as a multiple of the other.
 Ratio table DEFINE
A table that shows equivalent ratios.
 Rate DEFINE

Reading Material

Practice Word Problems

Practice Number Problems

Lesson Plan

Teacher Guide