1. Splash Screen

2. Five-Minute Check (over Lesson 4–9) Main Idea and Vocabulary
Example 1: Real-World Example: Use a Scale Drawing
Example 2: Real-World Example: Find the Scale
Example 3: Find the Scale Factor
Example 4: Real-World Example: Construct a Model
Lesson Menu

3. Solve problems involving scale drawings.
scale model
scale
Main Idea/Vocabulary

4. MAPS Use the map to find the actual distance from Bingston to Alanton.
Use a Scale Drawing
MAPS Use the map to find the actual distance from Bingston to Alanton.
Use an inch ruler to measure the map distance. The map distance is about 1.5 inches.
Example 1

5. Method 1 Write and solve a proportion. map map
Use a Scale Drawing
Method 1 Write and solve a proportion.
map
map
actual
actual
Find the cross products.
Simplify.
Method 2 Write and solve an equation.
Example 1

6. Words Variable Equation
Use a Scale Drawing
Words
The actual distance is 5 miles per inch of map distance.
Variable
Let a represent the actual distance in miles. Let m represent the map distance in inches.
Equation
a = 5 ● m
a = 5m
Write the equation.
a = 5(1.5) or 7.5
Replace m with 1.5 and multiply.
Example 1

7. Answer: The actual distance from Bingston to Alanton is 7.5 miles.
Use a Scale Drawing
Answer: The actual distance from Bingston to Alanton is 7.5 miles.
Example 1

8. MAPS Use the map to find the actual distance from Springfield to Capital City. The map distance is about 1.4 inches.
A. 7.4 miles
B. 8.5 miles
C. 9.2 miles
D. 9.8 miles A B C D
Example 1

9. Find the Scale
SCALE DRAWINGS A wall in a room is 15 feet long. On a scale drawing it is shown as 6 inches. What is the scale of the drawing?
Write a ratio comparing the length of the drawing to the actual length of the room. Using x to represent the actual length of the room, write and solve a proportion to find the scale of the drawing.
Example 2

10. Find the cross products.
Find the Scale
scale drawing length
Length of room
Scale Drawing
actual length
Find the cross products.
Multiply. Then divide each side by 6.
Simplify.
Answer: So, the scale is 1 inch =
Example 2

11. SCALE DRAWINGS The length of a garage is 24 feet
SCALE DRAWINGS The length of a garage is 24 feet. On a scale drawing the length of the garage is 10 inches. What is the scale of the drawing? A. B. C. D. A B C D
Example 2

12. Find the Scale Factor
Answer:
Example 3

13. A. 1 : 22.5
B. 1 : 25.6
C. 1 : 28.8
D. 1 : 30.5 A B C D
Example 3

14. Construct a Scale Model
STATUE OF LIBERTY Auguste Bartholdi created several smaller models of the Statue of Liberty before creating the 152-foot statue that stands in New York Harbor. One such model was only 21 inches tall. What is the scale of this model to the final version? Use the scale to determine the length of the statue’s index finger on the model, which is 8 feet long on the actual statue.
Example 4

15. Construct a Scale Model
Determine the scale of the model to the final version.
model height
actual height
Find the cross products.
Multiply. Then divide each side by 21.
Simplify.
The scale of the model to the actual statue is 1 inch  7.2 feet.
Example 4

16. Construct a Scale Model
Use this scale to find the length of the statue’s index finger on the model.
model height
actual height
1 ● 8 = 7.2 ● x
Find the cross products.
Multiply. Then divide each side by 7.2.
Simplify.
Answer: The finger in the model is about 1.1 inches long.
Example 4

17. A. 1 inch = 4.5 feet; about 0.67 inch
STATUE Marnie created a model of her town’s statue of Jebediah Springfield. Her model was 6 inches high. The actual statue is 27 feet tall. What is the scale of this model to the actual statue? Use the scale to determine the length of the statue’s mustache on the model, which is 3 feet long on the actual statue.
A. 1 inch = 4.5 feet; about 0.67 inch
B. 1 inch = 4 feet; about 0.75 inch
C. 1 inch = 3.5 feet; about 0.84 inch
D. 1 inch = 3.3 feet; about 0.92 inch A B C D
Example 4

18. End of the Lesson
End of the Lesson

19. Five-Minute Check (over Lesson 4–9) Image Bank Math Tools
Solving Proportions
Dilations
Similar Triangles
Resources

20. (over Lesson 4-9)
At the same time a 4 foot fencepost casts a 6 foot shadow, a cellular tower casts a 50 foot shadow. How tall is the cellular tower to the nearest tenth?
A feet
B feet
C. 50 feet
D feet A B C D
Five Minute Check 1

21. If the man in the picture is 6 feet tall, how tall is the tree?
(over Lesson 4-9)
If the man in the picture is 6 feet tall, how tall is the tree?
A. 12 feet
B. 24 feet
C. 36 feet
D. 48 feet A B C D
Five Minute Check 2

22. (over Lesson 4-9)
A mother and daughter are standing next to each other. The mother is 160 centimeters tall and has a shadow that is 100 centimeters long. The daughter’s shadow is 50 centimeters long. How tall is the daughter?
A. 80 centimeters
B. 100 centimeters
C. 110 centimeters
D. 120 centimeters A B C D
Five Minute Check 3

23. End of Custom Shows