1. Bell Work Write the equivalent rate. 1. $ 12 $ ? 3. 150 miles ? miles
1 hours
$ 12 =
1 minute
$ ? 3.
1 day
150 miles =
1 week
? miles
ANSWER
1050 mi
ANSWER
$.20 2.
2 pints
1 person =
? cups 4.
320 calories
1 cup =
? calories
1 fluid ounce
Hint: 1 pint = 2 cups
Hint: 1 cup = 8 fluid ounces
ANSWER
40 cal
ANSWER
4 c

2. Scale Drawings

3. Review
Solve the proportion. Then check your solution. b
1.8 =
49.6
14.4
14.4b =
1.8(49.6)
Cross products property
14.4b =
89.28
Multiply.
14.4
89.28 = b
Divide each side by 14.4. = b
6.2

4. Review
Use the cross products property to solve the proportion.
A man rides his bike at a constant speed for 2 hours and travels 30 miles. If he were to continue riding at the same constant speed, how many miles would he travel in 5 hours?
ANSWER
75 mi
A teacher can grade 4 tests in 25 minutes. At this rate, how long will it take her to grade 36 tests?
ANSWER
225 min
If three bundles of shingles cover 75 square feet of a roof, how many bundles will it take to cover a roof that is 1800 square feet?
ANSWER
72 bundles

5. Scale Drawing
A scale drawing represents something that is too large or too small to be drawn at its actual size.
Maps and blueprints are examples of scale drawings.

6. Scale
In math, scale shows the relationship between two things as well.
With maps, it is usually between a distance measured on the map and the actual distance on the ground.

7. A scale drawing is a diagram of an object in which the dimensions are in proportion to the actual dimension of the object.
The scale on a scale drawing tells how the drawing’s dimensions and the actual dimensions are related. The scale “1 in. : 12 ft.” means that for every 1 inch you have 12 feet.

8. Using the Scale of a Map centimeters kilometers
On the map, the distance between China and New Sweden is 4.5 centimeters. Use the map of Maine to find the distance between the towns of China and New Sweden. Write and solve a proportion to find the distance between the towns.
SOLUTION 1 65
4.5 d =
centimeters
kilometers
1d =
65 x 4.5
d = 292.5
The actual distance between China and
New Sweden is about kilometers.
ANSWER

9. centimeters kilometers
Use the map to find the distance (in kilometers) between Paris and Marshfield. On the map the distance between Paris and Marshfield is 3.85 centimeters. Write and solve a proportion to find the distance d between the towns.
SOLUTION 1 65
3.85 d =
centimeters
kilometers
1d =
3.85 x 65
d =
The actual distance between Paris and Marshfield
is about 250 kilometers.
ANSWER

10. You Try:
The scale on a map is 1 cm : 12 km. Find the actual distance in kilometers for the given length on the map.
4 cm
x = 12 x 4; 48 km =
7.25 cm
X = 12 x 7.25; 87 km =
6 cm
X = 12 x 6 ; 72 km =

11. Scale Drawings
Strawberry Point, Iowa, has a strawberry sculpture that is 15 feet tall. If the scale of this model is 10 feet to 1 inch. How tall was the original strawberry?

12. Solution
H = 1.5 inches
The original strawberry was 1.5 inches
ANSWER

13. Finding a Dimension on a Scale Model
There is a scale model of the White House in Tobu World Square in Japan. The scale used for the model is 1 : 25. The height of the main building of the White House is 85 feet. Find this height on the model.
SOLUTION 1 25 h 85 =
scale model
building
1 x =
25 h
Cross products property
3.4 = h
Divide each side by 25.
The height of the main building of the model is 3.4 feet.
ANSWER

14. Cross products property
The model of the Eiffel Tower in Paris is 12 meters high. Use the scale factor of 1 : 25 in to estimate the height of the actual Eiffel Tower.
SOLUTION
scale model
Eiffel Tower 1 25 12 h =
1h =
25 x 12
Cross products property
h = 300
ANSWER
The height of Eiffel Tower is about 300 m.

15. You try:
Models of buildings in Detroit, Michigan were created by using a scale of 1 in. : 50 ft.
Find the height of the model in inches for the given height of the building.
Marriott Hotel: 725 ft. =
14.5 inches
Book Tower: 472 ft. =
9.44 inches

16. Scale Drawing Worksheet
Practice:
Scale Drawing Worksheet