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5-7

5-7. Scale Drawings and Scale Models. Course 2. Warm Up. Problem of the Day. Lesson Presentation. 5-7. Scale Drawings and Scale Models. 1 15. 1 12. Course 2. Warm Up Write each fraction in the simplest form. 4 48. 9 135. 2. 1. Convert the following measurements.

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5-7

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  1. 5-7 Scale Drawings and Scale Models Course 2 Warm Up Problem of the Day Lesson Presentation

  2. 5-7 Scale Drawings and Scale Models 1 15 1 12 Course 2 Warm Up Write each fraction in the simplest form. 4 48 9 135 2. 1. Convert the following measurements. 3. 192 inches = feet 16 4. 18.5 feet = inches 222 5. 324 inches = feet 27

  3. 5-7 Scale Drawings and Scale Models Course 2 Problem of the Day A toy model of a 200 foot dinosaur is 3 in. long. How many times as long as the model is the dinosaur? 800 times as long

  4. 5-7 Scale Drawings and Scale Models Course 2 Learn to understand ratios and proportions in scale drawings. Learn to use ratios and proportions with scale.

  5. 5-7 Scale Drawings and Scale Models Course 2 Insert Lesson Title Here Vocabulary scale model scale factor scale scale drawing

  6. 5-7 Scale Models and Scale Drawings This HO gauge model train is a scale model of a historic train. A scale model is a proportional model of a three-dimensional object. Its dimensions are related to the dimensions of the actual object by a ratio called the scale factor. The scale factor of an HO gauge model train is . 1 87 1 87 This means that each dimension of the model is of the corresponding dimension of the actual train. Course 2

  7. 5-7 Scale Models and Scale Drawings Course 2 A scale is the ratio between two sets of measurements. Scales can use the same units or different units. The photograph shows a scale drawing of the model train. A scale drawingis a proportional drawing of an object. Both scale drawings and scale models can be smaller or larger than the objects they represent.

  8. 5-7 Scale Drawings and Scale Models 18 144 1 8 The scale factor is . Course 2 Additional Example 1: Finding a Scale Factor Identify the scale factor. blueprint length room length Write a ratio using one of the dimensions. = 1 8 Simplify. =

  9. 5-7 Scale Drawings and Scale Models 1 6 The scale factor is . Course 2 Insert Lesson Title Here Try This: Example 1 Identify the scale factor. blueprint length aircraft length 2 12 Write a ratio using one of the dimensions. = 1 6 = Simplify.

  10. 5-7 Scale Drawings and Scale Models Course 2 Additional Example 2: Using Scale Factors to Find Unknown Lengths A photograph was enlarged and made into a poster. The poster is 20.5 inches by 36 inches. The scale factor is . Find the size of the photograph. 5 1 poster photo 5 1 = Think: 36 l 5 1 Write a proportion to find the length l. = 5l = 36 Find the cross products. l= 7.2 Divide.

  11. 5-7 Scale Drawings and Scale Models Course 2 Additional Example 2 Continued A photograph was enlarged and made into a poster. The poster is 20.5 inches by 36 inches. The scale factor is . Find the size of the photograph. 5 1 poster photo 5 1 = Think: 20.5 w 5 1 Write a proportion to find the width w. = 5w = 20.5 Find the cross products. w= 4.1 Divide. The photo is 7.2 in. long and 4.1 in. wide.

  12. 5-7 Scale Drawings and Scale Models Mary’s father made her a dollhouse which was modeled after the blueprint of their home. The blueprint is 24 inches by 45 inches. The scale factor is . Find the size of the dollhouse. 1.5 1 l 45 1.5 1 = Course 2 Try This: Example 2 dollhouse blueprint 1.5 1 = Think: Write a proportion to find the length l. Find the cross products. l = 45 · 1.5 l= 67.5 Multiply.

  13. 5-7 Scale Drawings and Scale Models Mary’s father made her a dollhouse which was modeled after the blueprint of their home. The blueprint is 24 inches by 45 inches. The scale factor is . Find the size of the dollhouse. 1.5 1 Course 2 Try This 2 Continued dollhouse blueprint 1.5 1 = Think: w 24 1.5 1 Write a proportion to find the width w. = w = 24 · 1.5 Find the cross products. w= 36 Multiply. The dollhouse is 67.5 inches long and 36 inches wide.

  14. 5-7 Scale Drawings and Scale Models Course 2 Additional Example 3: Measurement Application On a road map, the distance between Pittsburgh and Philadelphia is 7.5 inches. What is the actual distance between the cities if the map scale is 1.5 inches = 60 miles? Let d be the actual distance between the cities. 1.5 60 7.5 d = Write a proportion. Find the cross products. 1.5 · d = 60 · 7.5 1.5d = 450 Multiply. 1.5d 1.5 450 1.5 = Divide. d = 300 The distance between the cities is 300 miles.

  15. 5-7 Scale Drawings and Scale Models Course 2 Insert Lesson Title Here Try This: Example 3 On a road map, the distance between Dallas and Houston is 7 inches. What is the actual distance between the cities if the map scale is 1 inch = 50 kilometers? Let d be the actual distance between the cities. 1 50 7 d = Write a proportion. Find the cross products. 1 · d = 50 · 7 1d = 350 Multiply. d = 350 The distance between the cities is 350 kilometers.

  16. 5-7 Scale Drawings and Scale Models 1 228 On a scale drawing, a kitchen wall is 6 inches long. The scale factor is . What is the length of the actual wall? 1 24 Course 2 Insert Lesson Title Here Lesson Quiz: Part 1 Identify the scale factor. 1. 2. 144 inches, or 12 feet

  17. 5-7 Scale Drawings and Scale Models Course 2 Insert Lesson Title Here Lesson Quiz: Part 2 3. On a road map, the distance from Green Bay to Chicago is 11 cm. What is the actual distance between the cities if the map scale is 3 cm = 90 km? 330 km

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