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The Language
Ratios
Rates
Proportions
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

What are the two methods for determining whether two ratios form a proportion?

Reducing and cross multiplication

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

State whether the following pair of ratios forms a proportion: 15:45 and 9:3

No

200

In a party,  soft drinks are required for every guests. If there are  guests, how many soft drinks is required. Step by step process.

252 divided by 12 = 21

21 times 10 = 210

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
State whether the following pair of ratios forms a proportion: 8:2 and 24:6
Yes
300
Create two ratios that are equivalent to the ratio 6:10.
Example: 3:5 and 12:20
400

When expressing ratios it doesn't matter what order the numbers appear. Explain.

False because numbers must be written in the order they are requested. 

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
In a recipe, the ratio of fluid ounces of water to fluid ounces of tomato paste is 3:4. You have 15 ounces of water. How many fluid ounces of tomato paste do you need? Write and solve a proportion to answer the question.
20 fl oz of tomato paste
400

If 4 pounds of jelly beans cost $6.82, how much would 2 pounds cost?

$3.41

500
Define proportion.
A proportion states that two ratios are equivalent.
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
You are making a salad. The ratio of olives to croutons is 5:3. You put 12 croutons in your salad. How many olives do you put in your salad. Write and solve a proportion to answer the question.
20 olives
500

In Jack's class, 18 of the students are tall and 10 are short. In Michael's class 54 students are tall and 30 students are short. Which class has a higher ratio of tall to short students?

18/10 and 54/30

9/5 and 9/5

EQUAL