1. 4-6 Scale Drawings and Scale Models Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

2. 4-6 Scale Drawings and Scale Models Math Journal (5 Min) Vocabulary – Each student will be given vocabulary words that are found within the lesson. They must then, at the beginning of class, write what they think the definitions before they have been taught the lesson and, at the end of class, write about what they now know the definitions are after they have been taught the lesson. Then, each student will discuss his/her answers within their group. Finally, to leave class, each student will have to give/write 1 word and definition that pertained to the lesson.

3. 4-6 Scale Drawings and Scale Models Homework Review (5 Min)

4. 4-6 Scale Drawings and Scale Models Warm Up Write each fraction in the simplest form. 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

5. 4-6 Scale Drawings and Scale Models 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

6. 4-6 Scale Drawings and Scale Models Textbook Examples (I Do) (5 Min)

7. 4-6 Scale Drawings and Scale Models Learn to understand ratios and proportions in scale drawings. Learn to use ratios and proportions with scale.

8. 4-6 Scale Drawings and Scale Models Vocabulary scale drawing scale factor scale model scale

9. 4-6 Scale Drawings and Scale Models A scale drawing is a proportional two-dimensional drawing of an object. Its dimensions are related to the dimensions of the actual object by a ratio called the scale factor. For example, if a drawing of a building has a scale factor of, this means that each dimension of the drawing is of the corresponding dimension of the actual building. 1 87 1 87

10. 4-6 Scale Drawings and Scale Models 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 model is a proportional three- dimensional model of an object.

11. 4-6 Scale Drawings and Scale Models Identify the scale factor. Additional Example 1: Finding a Scale Factor 13.5108Width (in.)‏ 18144Length (in.)‏ BlueprintRoom blueprint length room length = 1818 1818 The scale factor is. Write a ratio using one of the dimensions. Simplify. 18 144 = A scale factor is always the ratio of the model’s dimensions to the actual object’s dimensions. Caution!

12. 4-6 Scale Drawings and Scale Models Check It Out: Example 1 Identify the scale factor. 318Wing span (in.)‏ 212Length (in.)‏ BlueprintModel Aircraft blueprint length aircraft length = 2 12 = 1616 Write a ratio using one of the dimensions. Simplify. The scale factor is. This is reasonable because of the length of the model is 3 in. The length of the blueprint is 2, which is less. is less than. 1616 1414 1616 1414

13. 4-6 Scale Drawings and Scale Models 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 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.

14. 4-6 Scale Drawings and Scale Models 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 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.

15. 4-6 Scale Drawings and Scale Models Check It Out: Example 2 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

16. 4-6 Scale Drawings and Scale Models Check It Out: Example 2 Continued 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

17. 4-6 Scale Drawings and Scale Models 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 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 both sides by 1.5.

18. 4-6 Scale Drawings and Scale Models Check It Out: 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 = 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.

19. 4-6 Scale Drawings and Scale Models Class work Problems (We Do) (10 Min) Pg. 174-175 (1-4)

20. 4-6 Scale Drawings and Scale Models

21. 4-6 Scale Drawings and Scale Models Small Group CW(Yall Do) (10 Min) Pg. 174-175 (6-18 EOE)

22. 4-6 Scale Drawings and Scale Models

23. 4-6 Scale Drawings and Scale Models

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26. 4-6 Scale Drawings and Scale Models

27. 4-6 Scale Drawings and Scale Models Homework (You Do) (10 Min) Pg. 174-175 (5, 7, 9, 13, 17)

28. 4-6 Scale Drawings and Scale Models Math Journal (5 Min) Vocabulary – Each student will be given vocabulary words that are found within the lesson. They must then, at the beginning of class, write what they think the definitions before they have been taught the lesson and, at the end of class, write about what they now know the definitions are after they have been taught the lesson. Then, each student will discuss his/her answers within their group. Finally, to leave class, each student will have to give/write 1 word and definition that pertained to the lesson.

29. 4-6 Scale Drawings and Scale Models Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

30. 4-6 Scale Drawings and Scale Models Lesson Quiz: Part I Identify the scale factor. 81,824Height (in.)‏ ModelStatue of Liberty 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

31. 4-6 Scale Drawings and Scale Models Lesson Quiz: Part II 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

32. 4-6 Scale Drawings and Scale Models 1. Identify the scale factor. A.C. 10 B. D. 20 Lesson Quiz for Student Response Systems 1 20 1 10 FishModel Length (cm)12012

33. 4-6 Scale Drawings and Scale Models 2. On a scale drawing, the height of a building is 60 inches. The scale factor is. What is the height of the actual building? A. 240 in., or 20 ft B. 300 in., or 25 ft C. 600 in., or 50 ft D. 900 in., or 75 ft Lesson Quiz for Student Response Systems 1 15

34. 4-6 Scale Drawings and Scale Models 3. On a road map, the distance from Washington, DC to New York is 15 cm. What is the actual distance between the cities if the map scale is 3 cm = 50 mi? A. 150 mi B. 200 mi C. 250 mi D. 300 mi Lesson Quiz for Student Response Systems