A ratio represents a pattern of quantities, and can be written using...
Numbers, pictures and words.
100
Equivalent ratios are two or more ratios that describe...
The same relationship or pattern.
100
Using equivalent ratio reasoning, write the following ratio as a percent: 7/20.
35% (9/20 = 35/100 = 35%)
100
A rate is a ratio that compares...
Two quantities of different measures.
100
Converting a rate means to change the units that describe it without...
Changing the value of the rate.
200
There were 2 gorillas for every 9 monkeys in the zoo. Write the ratio of gorillas to monkeys using three different numeric notations.
2 to 9, 2:9 and 2/9
200
Write two equivalent ratios for the following ratio: 2 to 5. (Keep it simple!)
Possible Answers: 4 to 10, 6:15, 20/50, 8 to 20
200
Use equivalent ratio reasoning to solve the following: Joe hit 3 out of every 5 pitches thrown. What percent of pitches did he hit?
60% (3/5 = 60/100 = 60%)
200
Anna babysat for 4 hours and earned $26. What was her hourly rate?
$6.50 per hour ($26 ÷ 4 hours = $6.50/hour)
200
You checked your heart rate after exercising, and counted 20 beats in 10 seconds. What is your heart rate in beats per minute?
120 bpm (20 beats/10 sec x 60 sec/min)
300
Write a ratio story using words for the following part-to-part ratio: 4 to 9.
Example: In the gym closet there were four soccer balls for every nine tennis balls, so the ratio of soccer balls to tennis balls was 4:9.
300
Write the following ratio in simplest form: 26/14.
13/7 (or 13:7 or 13 to 7)
300
Use ratio reasoning to solve the following: Julia's cat had kittens. One was solid grey, and three were tiger-striped. What percent were tiger-striped?
75% (3/4 = 75/100 = 75%)
300
Your mom paid $3.50 per gallon of gasoline. How many gallons could she get for $42?
12 gallons of gas ($42 ÷ $3.50/gal = 12 gallons)
300
Debra earned $180 in six weeks. At that rate, how much could she earn in a year?
$1,560 per year ($180/6 weeks x 52 weeks/year = $1,560/year).
400
At the local animal shelter, there were 3 dogs for every 8 cats. What was the ratio of cats to total animals?
8 to 11, 8:11 or 8/11
400
The ratio of Expo markers to erasers is 4:1. If there are 12 Expo markers, how many erasers are at the whiteboard?
3 erasers (Expo:eraser = 4:1 = 12:3)
400
Use ratio reasoning to solve the following: Fifteen or 30% of the students riding the bus live less than 1 mile from school. How many students total ride the bus?
50 students (30/100 = 15/50)
400
A varsity swimmer swam 6 laps in 4 minutes. How many laps can he swim 10 minutes?
15 laps (6 laps/4 min = 3 laps/2 min = 15 laps/10 min).
400
A snail can travel 12 millimeters in 8 seconds. At this rate, how far can it travel in a minute?
90 millimeters per minute (12 mm/8 sec x 60 sec/min)
500
In Miss Lamothe's math class there were 3 boys for every 7 students. What was the ratio of boys to girls?
3 to 4, 3:4 or 3/4
500
The ratio of dimes to quarters is 5:3. If there are 24 coins in all, how many of them are quarters?
There are 9 quarters (quarters:coins = 3:8 = 9:24)
500
Use ratio reasoning to solve the following: There are 60 flowering plants in the garden, and 20% of them are lilies. How many lily plants are in the garden?
12 lily plants (20/100 = 4/20 = 12/60).
500
A 6-pack of cola was on sale for $2.82, and a 24-pack costs $11.76. Which is the better buy?
6-pack ($2.82 ÷ 6 cans = $0.47 per can, $11.76 ÷ 24 cans = $0.49 per can)
500
A bamboo plan can grow up to 21 inches in a week. At that rate, how many feet will it grow in a year?
91 feet per year (21 in/week x 52 weeks/year = 1,092 in/yr; 1,092 in/yr x 1 ft/12 in = 91 ft/yr)