Unit 1 Review: Rates, Ratios, and Proportions

Factor Puzzles

100

Create and solve a factor puzzle using the numbers 3, 6, and 4.

8

200

Create and solve a factor puzzle using the numbers 4, 10, and 25.

10

300

Create and solve a factor puzzle using the numbers 24, 32, and 42.

56

400

Create and solve a factor puzzle using the numbers 56, 72, and 81.

63

500

Create and solve a factor puzzle using the numbers 36, 48, and 144.

12

Ratios

100

What is the basic ratio for 9:12?

3:4

200

Write an equivalent ratio for 7:2.

14:4, 28:8, etc.

300

What is the basic ratio for 45:54?

5:6

400

What is the basic ratio for 24:80?

3:10

500

What is the basic ratio for 5:15?

1:5

Rate Tables

100

Create a rate table for the following:

Unit Rate = 3

1 3

2 6

3 9

4 12

200

Create a rate table for the following:

Unit Rate = 9

1 9

2 18

3 27

4 36

300

Create a rate table for the following:

Every day, Noreen adds $4 to her whaleybank.

Days  Dollars

1   4

2   8

3   12

400

Create a rate table for the following:

Noreen adds one more dollar than the last to her whaley bank every day. On day one, she adds $5.

This does not have a constant rate, so you cannot make a rate table.

500

Complete the rate table and graph. Include and label the unit rate triangle.

Seconds Feet

1   x

x   4

3   x

4   8

x   10

Unit Rate=2 ft/sec

Unit Rate Triangle = 1 horizontal, 2 vertical

Graph Coordinates = (1,2) (2,4) (3, 6)

Ratio Tables

100

Create a ratio table for the following:

Noreen adds $3 to her Whaleybank every day, while Tim adds $4.

Noreen   Tim

3   4

6   8

9   12

200

What is the difference between a rate table and a ratio table?

Rate tables show a constant rate, while a ratio table compares two constant rates in the form of ratios.

300

Target is selling Squishmallows at 4 Squishmallows for $10. Walmart has the same Squishmallows at 2 for $6. Which store has the lower unit price? Show your work. 

Target's unit price is lower because Walmart, each Squishmalow is $3, so if you bought 4, it would be $12.

400

Target is selling Squishmallows at 4 Squishmallows for $10. Walmart has the same Squishmallows at 2 for $6.

Suppose you want to buy two Squishmallows. What assumption must you make if you decide to buy them at Target?

You must assume the unit price per Squishmallow remains less than the unit price per Squishmallow at Walmart.

500

Target is selling Squishmallows at 4 Squishmallows for $10. Walmart has the same Squishmallows at 2 for $6.

Create a ratio table for both stores.

Target

Squishmallows   Cost ($)

2   5

4   10

8   20

Walmart

Squishmallows Cost ($)

1   3

2   6

3   9

4   12

Proportions

100

Noreen runs the same distance every day. In 3 days, she ran a total of 12 miles. How far will she run in 7 days? Show your work.

28 miles

200

Write and solve a word problem for this pair of equivalent ratios:

2:3=8:n

Solution: 12

300

Write and solve a word problem for this pair of equivalent ratios:

9:27=3:x

Solution: 9

400

Noreen and Tim are planting a large garden with strawberry plants. Noreen can plant 5 plants in the time it takes Tim to plant 4 strawberry plants. Based on this rate. Write a ratio table to determine how many plants Noreen and Tim can plant over time.

Tim Noreen

4   5

8   10

12   15

16   20

20   25

500

What are 2 of Ms. Winkler's 3 favorite animals?

Include two of the following:

Frogs

Cows

Alpacas