Model Ratios
Writing Equivalent Ratios
Are the ratios equivalent?
Solve Equivalent Ratios
Problem Solving
100

Write a ratio of yellow to red circles:


3:4

100

Write the simplified ratio

3:12

1:4

100

Are the Ratios Equivalent?  


2:4 = 3:5

No!

100

Solve for x to make the Ratios Equivalent:

x:5 = 8:10

x = 4

100

David learned 30 definitions in 2 minutes. 

How many definitions will he learn in 1 minute?

15 definitions

200

Write a ratio of yellow to red circles:


5:3

200

Write the simplified ratio

18:4

9:2

200

Are the Ratios Equivalent?  

5:10 = 3:6

Both ratios can simplify to 1:2!

Yes!

200

Solve for x to make the Ratios Equivalent:

3:9 = 9:x

x = 27

200

Lilly can prepare 24 paper boxes in three weeks.

How many paper boxes does she prepare in 1 week?

8 paper boxes

300

Write a ratio of red to blue circles:


5:6

300

Write 2 more Equivalent Ratios:

10:20

1:2, 2:4  

300

Are the Ratios Equivalent?  

8:10 = 16:18

No!

300

Solve for x to make the Ratios Equivalent:

7:14 = x:42

x = 21

300

A painter can paint 20 windows in 5 days. 

How many windows can he paint in 8 days?


32 Windows

400

Write a ratio of squares to diamonds:


15:20

400

Write 3 more Equivalent Ratios:

15:30

1:2, 3:6, 5:10

400

Are the Ratios Equivalent?  

13:14 = 39:42


Yes!

400

Solve for x to make the Ratios Equivalent:

2:16 = x:80

x = 10

400
Jack had to frame 12 glasses in 2 days

How many days will he take to frame 30 glasses?

5 days

500

Write a ratio of Blue Circles to all White Shapes:


4:8

500

Write 3 more Equivalent Ratios:

24:72

12:36, 8:24, 6:18, 3:9, 4:12

500

Are the Ratios Equivalent?  

8:32 = 56:224

Yes!

500

DAILY DOUBLE!!

Solve for x to make the Ratios Equivalent:

18:x = 54:90

x = 30

500

Alice has to write 5 pages in 30 minutes.

Ricky has to write 6 pages in 35 minutes.

If together they can write 10 pages in 50 minutes, how many pages they can write in 60 minutes?

12 pages