Model Ratios
Writing Equivalent Ratios
Are the ratios equivalent?
Solve Equivalent Ratios
Ratios and the Coordinate Plane
100
Write a of yellow to red circles:
3/4, 3:4, 3 to 4
100
Write 1 more Equivalent 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
Write this ratio as an ordered pair.
4 to 1
(4, 1)
200
Write a ratio of yellow to red circles:
5/3, 5:3, 5 to 3
200
Write 1 more Equivalent Ratio:
18:4
9:2
200
Are the Ratios Equivalent?
5/10 = 3/6
Yes!The division/multiplicative relationship between both parts of the ratio is the same.
5/3 = 1 2/3 and 10/6 = 1 2/3
1/2 = 3/6 = 5/10
200
Solve for x to make the Ratios Equivalent:
3/9 = 9/x
x = 27
200
Write this ordered pair in ratio form.
(10,14)
10 to 14, 10:14, or 10/14
300
Write a ratio of red to blue circles:
5/6, 5:6, 5 to 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
Find a ratio that is equivalent to 2:5 and write it as an ordered pair.
Examples: (4,10) (6,15) (8,20)
400
Write a ratio of squares to diamonds:
15:20, 15:20, 15 to 20
400
Write 3 more Equivalent Ratios:
15:30
1:2, 3:6, 5:10
400
Are the Ratios Equivalent?
13:14 and 39:42
Yes! The division/multiplicative relationship between the parts of the ratio is the same.
13 x 3 = 39 and 14 x 3 = 42
400
Solve for x to make the Ratios Equivalent:
2/16 = x/80
x = 10
400
Describe how it looks when you plot equivalent ratios on a coordinate plane.
A straight diagonal line would pass through all the points on the coordinate plane.
500
Write a ratio of Blue Circles to all White Shapes:
4/8, 4:8, 4 to 8
500
!!!!DAILY DOUBLE!!!!
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!
8 x 7 = 56 and 32 x 7 = 224
500
!!!!DAILY DOUBLE!!!!
Solve for x to make the Ratios Equivalent:
18/x = 54/90
x = 30
500
When plotting ratios on a coordinate plane, which part of the ratio will be the x-coordinate and which part will be the y-coordinate?
Example: The first part of the ratio is the x-coordinate and second part of the ratio is the y-coordinate. If you have 2:3, 2 is the x-coordinate and 3 is the y-coordinate.