Scales
Unit Rates
PROPORTIONAL relationships
Circumference
Area of circles
100

5in = 50 miles. 

What is the unit rate of this scale? 

1 in = 10 miles 
100

2 in. = 10 miles. 

What is the unit rate? 

1 in = 5 miles

100

What are the two things a graph must have to be proportional? 

Straight line and starts at the origin

100

Diameter is 10 in. 

What is the radius? 

5 in

100

Radius is 20 in. 

What is the diameter? 

Diameter is 40 in. 

200

The length of a patio is 14.7 in. on a blueprint. 

The scale is 2 in. = 16 ft. 

What is the actual length in feet of the patio? 

117.6 ft. 

200

2/8 divided by 5 =? 

2/ 40 or 1/20 

200

What is the unit rate? 

3 ft. = 930 miles. 

1 ft = 310 miles. 

200

What is the exact circumference of a circle with a diameter of 13? 

13 π 

200

What is the exact area of a circle with a diameter of 10 in? 

25π 

300

The scale on a map is 2 in. = 50 miles.

The driving distance on a map from Chicago to Dallas is 36in. 

What is the actual amount of miles from Chicago to Dallas? 

900 miles 

300

True or False 

The ratio of 5 : 1/7 has a unit rate of 35. 

True 

300

A farm stand sells oranges in 3 lb. bags. Each bag costs 3.75. Write an equation to represent the cost, c, for p pounds of oranges. 

c=1.25p

300

What is the exact circumference of a circle with a Radius of 5 in? 

10 π 

300

What is the exact area of a circle with a diameter of 12 in? 

36π 

400

The length and width of a room on a blueprint is 4.6 in. by 6.5 in. The scale is 1in. = 4ft. 

What is the actual area of the room in feet? 

478.4 ft. 2

400

A marching band walks 1/15 mil. in 15 minutes. At this rate, how long will it take them to complete 1 mile? 

22.5 minutes. 

400

(1,3) (5,15) (6,16) (10, 20) 

Would these points make a proportional relationship? 

NO

400

What is the approximate circumference of a circle with a radius of 15 in? 

94.2 in. 

400

What is the approximate area of a circle with a radius of 8 in? 

200.96 in2

500

The length and width of a playground is 5.8 in. by 9.2 in. The scale is 6 in = 42 ft. 

What is the actual area of the playground in feet? 

2,614.64 ft. 2

500

Janelle is viewing an image of a sculpture. She enlarges the image using a scale of 0.2 cm = 1.8 ft. How many centimeters in the image are used to show 1 ft? 

1.6 cm.

500
(2,6) (8,24) (11,33) 


What is the unit rate of this graph? 

1, 3 

500

What is the diameter of this circle? 

C= 63π 

63 

500

What is the radius of this circle? 

C=14π 

7