2. Transparency 3 Click the mouse button or press the Space Bar to display the answers.

3. Splash Screen

4. Example 3-2b Objective Use scale drawings and models to find actual measurements

5. Example 3-2b Vocabulary Scale drawing A drawing that is similar but either larger or smaller than the actual object

6. Example 3-2b Vocabulary Scale model A model used to represent something that is too large or too small for an actual-sized model

7. Example 3-2b Vocabulary Scale The ratio that compares the measurements on the drawing or model to the measurements of the real object

8. Lesson 3 Contents Example 1Find Actual Measurements Example 2Find Actual Measurements

9. Example 3-1a MONUMENTS A scale model of the Washington Monument has a scale of 1 foot = 100 feet. If the height of the model is 5.55 feet, what is the actual height of the monument? model height actual height 1/2 First, make a ratio with the scale of the model to the Monument The model is 1 foot to the actual 100 feet 1 foot k Place 1 foot in numerator Place 100 feet in denominator 100 feet

10. Example 3-1a MONUMENTS A scale model of the Washington Monument has a scale of 1 foot = 100 feet. If the height of the model is 5.55 feet, what is the actual height of the monument? model height actual height 1/2 Make second ratio Place 5.55 feet with model 1 foot k Define the variable Place variable with actual height 5.55 feet 100 feet x feet

11. Example 3-1a MONUMENTS A scale model of the Washington Monument has a scale of 1 foot = 100 feet. If the height of the model is 5.55 feet, what is the actual height of the monument? model height actual height 1/2 Make a proportion by placing an equal sign between the ratios 1 foot k 5.55 feet 100 feetx feet = Cross multiply and write the equation horizontally 1x =100(5.55)

12. Example 3-1a MONUMENTS A scale model of the Washington Monument has a scale of 1 foot = 100 feet. If the height of the model is 5.55 feet, what is the actual height of the monument? model height actual height 1/2 Use the Identity Property to multiply 1  x 1 foot k 5.55 feet 100 feetx feet = 1x =100(5.55) x = Combine “like” terms 555 Add dimensional analysis feet Answer:

13. CARS A scale model of a car has a scale of inches. If the length of the car model is 5 inches, what is the actual length of the car? Example 3-1b Answer: x = 120 in. 1/2

14. Example 3-2a STATES On a map of Pennsylvania, the distance between Pittsburgh and Harrisburg is 2.5 inches. If the scale on the map is 1 inch = 62 miles, what is the actual distance between Pittsburgh and Harrisburg? 2/2 First, make a ratio with the scale of the map to the actual distance Map Actual The map is 1 inch to 62 actual miles Place 1 inch in numerator 1 inch Place 62 miles in denominator 62 miles

15. Example 3-2a STATES On a map of Pennsylvania, the distance between Pittsburgh and Harrisburg is 2.5 inches. If the scale on the map is 1 inch = 62 miles, what is the actual distance between Pittsburgh and Harrisburg? 2/2 Map Actual 1 inch 62 miles Make second ratio Place 2.5 inches with map 2.5 inch Define the variable Place variable with actual distance x miles

16. Example 3-2a STATES On a map of Pennsylvania, the distance between Pittsburgh and Harrisburg is 2.5 inches. If the scale on the map is 1 inch = 62 miles, what is the actual distance between Pittsburgh and Harrisburg? 2/2 Map Actual 1 inch 62 miles 2.5 inch x miles Make a proportion by placing an equal sign between the ratios = Cross multiply and write the equation horizontally 1x =62(2.5)

17. Example 3-2a STATES On a map of Pennsylvania, the distance between Pittsburgh and Harrisburg is 2.5 inches. If the scale on the map is 1 inch = 62 miles, what is the actual distance between Pittsburgh and Harrisburg? 2/2 Map Actual 1 inch 62 miles 2.5 inch x miles = 1x =62(2.5) Use the Identity Property to multiply 1  x x = Combine “like” terms 155 Add dimensional analysis miles Answer:

18. MAPS On a map, the distance between two small towns is 8.5 inches. If the scale on the map is what is the actual distance between the two small towns? Example 3-2b Answer: x = 340 mi * 2/2

19. End of Lesson 3 Lesson 10:3 Scale and Model Drawings 4 - 14 All Assignment