Ratios, Unit Rate, and Proportional Reasoning

Ratios

100

Write 6 dogs to 8 cats as a ratio in 3 ways.

6/8, 6 to 8, 6:8

200

Write 10 cars to 6 trucks as a ratio in 3 ways.

10:6, 10/6, 10 to 6

300

What are the 3 ways we write a ratio.

As a fraction, with a colon, and with the word "to"

400

A comparison between two numbers is called a______

ratio

500

What mathematical operations can you use to write/find equivalent ratios?

What is Multiplying and Dividing?

For example: 

2/3 = 4/6 because 2 x 2 = 4 and 3 x 2 = 6

OR

15/20 = 3/4 because 15/5 = 3 and 20/5 = 4

Unit Rate

100

If Michelle drives 50 miles in 2 hours, what is her rate (speed per hour)?

What is 25 miles per hour?

200

If Wyatt types 120 words per 3 minutes, what is his rate of typing?

What is 40 words per minute?

300

If 10 bags of Hot Cheetos cost $3.50, then how much does 1 cost?

What is $0.35

400

Which is the better deal $20 for 5 t-shirts or $24 for 8 t-shirts

What is $24 for 8 t-shirts (rate of $3 per shirt)

500

What is a unit rate?

a ratio where the bottom number is a 1

Proportional or Not?

100

2/3 and 4/6

Yes, proportional, 2 x 6 = 12, 3 x 4 = 12

200

Are 1/6 and 2/7 proportional?

Not Proportional, 1 x 7 = 7 and 2 x 6 = 12

300

Are 6/8 and 9/12 proportional?

Yes proportional, 6 x 12 = 72, and 9 x 8 = 72

400

Are 5/10 and 4/8 proportional?

Yes proportional, 5 x 8 = 40, 10 x 4 = 40

500

12/20 and 3/10

Not proportional, 12 x 10 = 120, 20 x 3 = 60

Solving Proportions

100

Solve for x. 

12/15 = 4/?

What is 5?

200

Solve for x. 

?/6 = 9/18

What is 3?

300

Solve for x?. 

12/15 = ?/60

What is 48?

400

Solve for x. 

6/10 = 18/?

What is 30

500

70/80 = 35/?

Solve for x. 

What is 40.

Word Problems

100

Arismary earns $12 in 3 hours. How much does she make in 5 hours?

What is $20

200

Mrs. Ralph typically walks 6 miles in 2 hours. At that same rate, how long would it take her to walk 5 miles?

What is 1 hr and 40 minutes or 100 minutes?

300

Wyatt reads 8 pages in 6 minutes. At that same rate, how many minutes will it take Wyatt to ready 24 pages?

What is 18 minutes?

400

Andrea texts 60 words in 4 minutes. At that same rate, how many minutes would it take her to text 45 words?

What is 3 minutes?

500

Mrs. Ralph students study 5 hours for 2 tests. If they study a total of 30 hours, how many tests are they studying for?

What is 12 tests?