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The Language
Ratios
Rates
Miscellaneous
100
Define ratio. What are the 3 comparison types?
A comparison of two quantities. A ratio can be part-to-part, part-to-whole, or whole-to-part.
100
What are the 3 ways we can represent ratios?
a:b, a to b, or a/b
100
Write a unit rate for the situation: 256 heartbeats in 4 minutes
64 beats per minute
100
Which ratio does not belong with the other three? Explain your reasoning. 3:4 9:12 12:15 12:16
12:15; When reduced, the other three are equivalent to 3:4
200
Define rate.
A rate is a ratio of two quantities using different units.
200
Twelve of the 28 students in class have a dog. What is the ratio of students who have a dog to students who do not?
12:16
200
Write a unit rate for the situation: $4.80 for 4 apples
$1.20 per apple
200
Describe a unit rate you use in real life.
Example: I drive 70 mph on the highway
300
Define unit rate.
A unit rate compares a quantity to one unit of another quantity.
300
The ratio of vowels to consonants in a word is 5 to 7. Are there more vowels or more consonants? Explain.
More consonants
300
Decide whether the rates are equivalent using unit rates. Rate 1: 24 laps in 6 minutes Rate 2: 72 laps in 18 minutes
Yes, because each unit rate is 4 laps per minute.
300
Create two ratios that are equivalent to the ratio 6:10.
Example: 3:5 and 12:20
400
Define equivalent rates.
Equivalent rates have the same unit rate.
400
You are comparing apples to oranges in a fruit bowl. Is the ratio 2:3 the same as the ratio 3:2? Explain.
No, because the order of the ratio, follows the order of the description (i.e. 2 apples is not the same as 3 apples)
400
Decide whether the rates are equivalent using unit rates. Rate 1: 126 points every 4 games Rate 2: 210 points every 5 games
No, because 31.5 points per game and 42 points per game is not the same unit rate.
400

Describe how to solve a unit price.

The cost of one item.

500

Define unit price.

the price of one item.

500
Which ratio does not belong with the other three? Explain your reasoning. 2 parts to 5 parts 2 out of every 5 2 for each 5 2 for every 5
2 out of every 5; it is a part-to-whole comparison whereas the others are part-to-part comparisons
500
You can buy 20 ounces of cereal for $4.40 or 16 ounces of the same brand for $3.68. Which is the better buy?
20 oz of cereal because it is cheaper per ounce ($0.22 per ounce)
500

If apples are $1.67 per pound, How much is 4 pounds?

$6.68