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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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Presentation on theme: "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."— Presentation transcript:

1 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

2 Warm Up Write each fraction in the simplest form. Course Scale Drawings and Scale Models Convert the following measurements inches = feet feet = inches inches = feet

3 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 Scale Drawings and Scale Models

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

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

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

7 Course 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.

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

9 Try This: Example 1 Insert Lesson Title Here Course 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 Write a ratio using one of the dimensions. Simplify.

10 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 Scale Drawings and Scale Models 5151 Think: poster photo = l = l = 36 l = 7.2 Write a proportion to find the length l. Find the cross products. Divide.

11 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 Scale Drawings and Scale Models 5151 Think: poster photo = w = w = 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.

12 Try This: Example 2 Course 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 Think: dollhouse blueprint = 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

13 Try This 2 Continued Course Scale Drawings and Scale Models w 24 = 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 = 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

14 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 Scale Drawings and Scale Models Let d be the actual distance between the cities = 7.5 d 1.5 · d = 60 · d = d 1.5 = d = 300 The distance between the cities is 300 miles. Write a proportion. Find the cross products. Multiply. Divide.

15 Try This: Example 3 Insert Lesson Title Here Course 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 = 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.

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

17 Lesson Quiz: Part 2 Insert Lesson Title Here Course 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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