2. Lesson Menu Main Idea and New Vocabulary Example 1:Use a Map Scale Example 2:Use a Scale Model Example 3:Find a Scale Factor Example 4:Construct a Scale Model

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

4. Example 1 Use a Map Scale MAPS What is the actual distance between Daytona Beach and Orlando? Step 1Use an inch ruler to find the map distance between the two cities. The map distance is about or 1.75 inches.

5. Example 1 Use a Map Scale 0.5  d= 17.3  1.75 Cross products 0.5d= 30.275 Multiply. Step 2 Write and solve a proportion using the scale. Let d represent the actual distance between the cities. Divide each side by 0.5.

6. Example 1 Use a Map Scale Answer:The actual distance between Daytona Beach and Orlando is about 61 miles. d= 60.55Simplify.

7. Example 1 CYP A.21 miles B.28 miles C.42 miles D.56 miles MAPS The distance on a map has a scale of 0.5 inch = 14 miles. The measured distance between West Palm Beach and Ft. Lauderdale on the map is 1.5 inches. What is the actual distance between these two cities?

8. Example 2 Use a Scale Model MURALS An artist is painting a large mural of flowers on the side of a school. If she uses the scale 4 inches = 1 inch, how large will the mural painting of a rose bloom be if it is inches high?

9. Example 2 4  6.25= 1  hCross products 25= hMultiply. Use a Scale Model Answer:The mural painting of the rose bloom will be 25 inches high.

10. Example 2 CYP A.40 in. B.55 in. C.60 in. D.80 in. FURNITURE A full-size model is being created from a child-size rocking chair which has a height of 15 inches. If the scale to be used is 4 inches = 1 inch, what is the height of the model?

11. Example 3 Find a Scale Factor Find the scale factor of a blueprint if the scale is inch = 3 feet. Simplify. Rewrite the division sentence as a multiplication sentence. Convert 3 feet to inches. Divide out common units.

12. Example 3 Find a Scale Factor Answer: The scale factor is.

13. Example 3 CYP A. B. C. D. Find the scale factor of a blueprint if the scale is inch = 5 feet.

14. Example 4 BUILDINGS An architect is making a model of an apartment building that is 150 feet tall. Find the scale if the model of the apartment building is 3 inches tall. Using this scale, find the height of the model of a house nearby if the actual height is 25 feet. Construct a Scale Model Divide the numerator and denominator by 3 so the numerator equals 1.

15. Example 4 The scale is 1 inch = 50 feet. Using this scale, find the height of a model of a nearby house. Construct a Scale Model 1  25= 50  xFind the cross products. 25= 50xMultiply. = xDivide by 50.

16. Example 4 Construct a Scale Model Answer:The scale is 1 inch = 50 feet. The height of the model of the nearby house is inch.

17. Example 4 CYP A.1 inch = 12 feet; 24 feet B.1 inch = 5 feet; 13 feet C.1 inch = 5 feet; 10 feet D.1 inch = 3 feet; 6 feet PARKS Steve is making a model replica of a park near his house. One of the trees in his model is 3 inches tall and represents a tree that is actually 15 feet tall. Find the scale of the model and then using this scale, find the actual height of another tree in his model that is 2 inches tall.