1. 7.7 Notes Scale Drawing and Models
Today’s Objectives:
1. Students will be able to interpret scale models.  
2. Students will be able to scale factors to solve problems.

2. Scale Model / Scale Drawing
Vocabulary
Scale Model / Scale Drawing

3. Example 1
MAPS The scale on the map shown is 0.75 inches : 6 miles. Find the actual distance from Pineham to Menlo Fields.
Use a ruler. The distance between Pineham and Menlo Fields is about or inches.
Method 1: Write and solve a proportion.
Method 2: Write and solve an equation.

4. Example 1 cont.
Use the map above and a customary ruler to find the actual distance between each pair of cities. Measure to the nearest sixteenth of an inch. 1.Eastwich and Needham Beach 2. North Park and Menlo Fields 3. North Park and Eastwich 4. Denville and Pineham 5. Pineham and Eastwich

5. Example 2
a) The distance between Boston and Chicago on a map is 9 inches. If the scale of the map is 1 inch: 95 miles, what is the actual distance from Boston to Chicago? b) The distance between Cheyenne, WY, and Tulsa, OK, on a map is 8 inches. If the scale of the map is 1 inch : 90 miles, what is the actual distance from Cheyenne to Tulsa?

6. Example 3
SCALE MODEL A doll house that is 15 inches tall is a scale model of a real house with a height of 20 feet.
What is the scale of the model?
b. How many times as tall as the actual house is the model?

7. Example 4
The length of a model train is 18 inches. It is a scale model of a train that is 48 feet long. Find the scale factor.

8. Example 5
An artist in Portland, Oregon, makes bronze sculptures of dogs. The ratio of the height of a sculpture to the actual height of the dog is 2:3. If the height of the sculpture is 14 inches, find the height of the dog.

9. Example 6
The span of the Benjamin Franklin suspension bridge in Philadelphia, Pennsylvania, is 1750 feet. A model of the bridge has a span of 42 inches. What is the scale factor of the model to the span of the actual Benjamin Franklin Bridge?

10. Example 7
a)A miniature replica of a fighter jet is 4 inches long. The actual length of the jet is 12.8 yards. What is the scale of the model? How many times as long as the actual is the model jet?
b) A miniature replica of a fire engine is 9 inches long. The actual length of the fire engine is 13.5 yards. What is the scale of the replica? How many times as long as the model is the actual fire engine?

11. Example 8
a)Gerrard is making a scale model of his classroom on an 11-by-17 inch sheet of paper. If the classroom is 20 feet by 32 feet, choose an appropriate scale for the drawing and determine the drawing’s dimensions.
b) Alaina is an architect making a scale model of a house in a 15-by-26 inch display. If the house is 84 feet by 144 feet, what would be the dimensions of the model using a scale of 1 in. : 6 ft?