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Main Idea/Vocabulary

Solve problems involving scale drawings. scale drawing. scale model scale. Main Idea/Vocabulary. 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. map.

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Main Idea/Vocabulary

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  1. Solve problems involving scale drawings. • scale drawing • scale model • scale Main Idea/Vocabulary

  2. Use a Scale Drawing MAPSUse 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

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

  4. Use a Scale Drawing The actual distance is 5 miles per inch of map distance. Words 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

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

  6. A B C D MAPSUse 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 Example 1

  7. Find the Scale SCALE DRAWINGSA 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

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

  9. A B C D A. B. C. D. SCALE DRAWINGSThe 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? Example 2

  10. Answer: Find the Scale Factor Example 3

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

  12. Construct a Scale Model STATUE OF LIBERTYAuguste 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

  13. model height actual height Construct a Scale Model Determine the scale of the model to the final version. 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

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

  15. A B C D STATUEMarnie 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 Example 4

  16. A B C D (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. 24.4 feet B. 33.3 feet C. 50 feet D. 66.6 feet Five Minute Check 1

  17. A B C D (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 Five Minute Check 2

  18. A B C D (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 Five Minute Check 3

  19. End of Custom Shows

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