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

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

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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 Course 2 5-7 Scale Drawings and Scale Models

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

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

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Course 2 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 This means that each dimension of the model is of the corresponding dimension of the actual train. 1 87

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Course 2 5-7 Scale Models and Scale Drawings 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 drawing is a proportional drawing of an object. Both scale drawings and scale models can be smaller or larger than the objects they represent.

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Identify the scale factor. Additional Example 1: Finding a Scale Factor Course 2 5-7 Scale Drawings and Scale Models RoomBlueprint Length (in.)14418 Width (in.)10813.5 blueprint length room length = 1818 1818 The scale factor is. Write a ratio using one of the dimensions. Simplify. 18 144 =

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Try This: Example 1 Insert Lesson Title Here Course 2 5-7 Scale Drawings and Scale Models Identify the scale factor. Model AircraftBlueprint Length (in.)122 Wing span (in.)183 blueprint length aircraft length = 2 12 = 1616 The scale factor is. 1616 Write a ratio using one of the dimensions. Simplify.

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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. Additional Example 2: Using Scale Factors to Find Unknown Lengths Course 2 5-7 Scale Drawings and Scale Models 5151 Think: poster photo = 5151 36 l = 5151 5l = 36 l = 7.2 Write a proportion to find the length l. Find the cross products. Divide.

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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. Additional Example 2 Continued Course 2 5-7 Scale Drawings and Scale Models 5151 Think: poster photo = 5151 20.5 w = 5151 5w = 20.5 w = 4.1 Write a proportion to find the width w. Find the cross products. Divide. The photo is 7.2 in. long and 4.1 in. wide.

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Try This: Example 2 Course 2 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 Think: dollhouse blueprint = 1.5 1 l = 45 · 1.5 l = 67.5 Write a proportion to find the length l. Find the cross products. Multiply. l 45 = 1.5 1

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Try This 2 Continued Course 2 5-7 Scale Drawings and Scale Models w 24 = 1.5 1 w = 24 · 1.5 w = 36 Write a proportion to find the width w. Find the cross products. Multiply. The dollhouse is 67.5 inches long and 36 inches wide. Think: dollhouse blueprint = 1.5 1 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

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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? Additional Example 3: Measurement Application Course 2 5-7 Scale Drawings and Scale Models Let d be the actual distance between the cities. 1.5 60 = 7.5 d 1.5 · d = 60 · 7.5 1.5d = 450 1.5d 1.5 = 450 1.5 d = 300 The distance between the cities is 300 miles. Write a proportion. Find the cross products. Multiply. Divide.

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Try This: Example 3 Insert Lesson Title Here Course 2 5-7 Scale Drawings and Scale Models 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 = 7d7d 1 · d = 50 · 7 1d = 350 d = 350 The distance between the cities is 350 kilometers. Write a proportion. Find the cross products. Multiply.

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Lesson Quiz: Part 1 Insert Lesson Title Here Course 2 5-7 Scale Drawings and Scale Models Identify the scale factor. Statue of LibertyModel Height (in.)1,8248 1. 2. 144 inches, or 12 feet 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

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Lesson Quiz: Part 2 Insert Lesson Title Here Course 2 5-7 Scale Drawings and Scale Models 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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