7 7 Scale Drawing and Models 1 Students

7. 7 : Scale Drawing and Models 1. Students will be able to interpret scale models. 2. Students will be able to scale factors to solve problems.

Vocabulary! Scale Model / Scale Drawing - Relationship between the model vs. actual. - The lengths of sides are proportional to the object it represents.

Examples:

Examples:

Examples:

Examples:

Example 1: •

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

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. 2. North Park and Menlo Fields

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. 3. North Park and Eastwich

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. 4. Denville and Pineham

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. 5. Pineham and Eastwich

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?

Example 2: 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?

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. a. What is the scale of the model?

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. b. How many times as tall as the actual house is the model?

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.

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.

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?

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?

Example 7: 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?

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.

Example 8: 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?

Example 9: Maya and Mabel are inspecting an 80: 1 scale floor plan of their new house. The dimensions of the living room in the scaled plan are 4 cm by 5 cm. What is the area of the living room in the real world? 4 Seasons room Breakfast nook Living room Kitchen Dining room Family room