FiveMinute Check over Lesson 4 9 Main Idea

• Solve problems involving scale drawings. • scale drawing • scale model •

Use a Scale Drawing MAPS Use the map to find the actual distance from

Use a Scale Drawing Method 1 Write and solve a proportion. map actual Find

Use a Scale Drawing Words Variable Equation The actual distance is 5 miles per

Use a Scale Drawing Answer: The actual distance from Bingston to Alanton is 7.

MAPS Use the map to find the actual distance from Springfield to Capital City.

Find the Scale SCALE DRAWINGS A wall in a room is 15 feet long.

Find the Scale Length of room scale drawing length actual length Scale Drawing scale

SCALE DRAWINGS The length of a garage is 24 feet. On a scale drawing

Construct a Scale Model STATUE OF LIBERTY Auguste Bartholdi created several smaller models of

Construct a Scale Model Determine the scale of the model to the final version.

Construct a Scale Model Use this scale to find the length of the statue’s

STATUE Marnie created a model of her town’s statue of Jebediah Springfield. Her model

Five-Minute Check (over Lesson 4– 9) Image Bank Math Tools Solving Proportions Dilations Similar

(over Lesson 4 -9) At the same time a 4 foot fencepost casts a

(over Lesson 4 -9) If the man in the picture is 6 feet tall,

(over Lesson 4 -9) A mother and daughter are standing next to each other.

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Five-Minute Check (over Lesson 4– 9) Main Idea and Vocabulary Example 1: Real-World Example: Use a Scale Drawing Example 2: Real-World Example: Find the Scale Example 3: Find the Scale Factor Example 4: Real-World Example: Construct a Model

• Solve problems involving scale drawings. • scale drawing • scale model • scale

Use a Scale Drawing MAPS Use the map to find the actual distance from Bingston to Alanton. Use an inch ruler to measure the map distance. The map distance is about 1. 5 inches.

Use a Scale Drawing Method 1 Write and solve a proportion. map actual Find the cross products. Simplify. Method 2 Write and solve an equation.

Use a Scale Drawing Words Variable Equation The actual distance is 5 miles per inch of map distance. Let a represent the actual distance in miles. Let m represent the map distance in inches. a=5●m a = 5 m Write the equation. a = 5(1. 5) or 7. 5 Replace m with 1. 5 and multiply.

Use a Scale Drawing Answer: The actual distance from Bingston to Alanton is 7. 5 miles.

MAPS Use the map to find the actual distance from Springfield to Capital City. The map distance is about 1. 4 inches. A. 7. 4 miles B. 8. 5 miles C. 9. 2 miles D. 9. 8 miles 1. 2. 3. 4. A B C D

Find the Scale SCALE DRAWINGS A wall in a room is 15 feet long. On a scale drawing it is shown as 6 inches. What is the scale of the drawing? Write a ratio comparing the length of the drawing to the actual length of the room. Using x to represent the actual length of the room, write and solve a proportion to find the scale of the drawing.

Find the Scale Length of room scale drawing length actual length Scale Drawing scale drawing length actual length Find the cross products. Multiply. Then divide each side by 6. Simplify. Answer: So, the scale is 1 inch =

SCALE DRAWINGS The length of a garage is 24 feet. On a scale drawing the length of the garage is 10 inches. What is the scale of the drawing? A. B. C. D. 1. 2. 3. 4. A B C D

Find the Scale Factor Answer:

A. 1 : 22. 5 B. 1 : 25. 6 C. 1 : 28. 8 D. 1 : 30. 5 1. 2. 3. 4. A B C D

Construct a Scale Model STATUE OF LIBERTY Auguste Bartholdi created several smaller models of the Statue of Liberty before creating the 152 -foot statue that stands in New York Harbor. One such model was only 21 inches tall. What is the scale of this model to the final version? Use the scale to determine the length of the statue’s index finger on the model, which is 8 feet long on the actual statue.

Construct a Scale Model Determine the scale of the model to the final version. model height actual height Find the cross products. Multiply. Then divide each side by 21. Simplify. The scale of the model to the actual statue is 1 inch 7. 2 feet.

Construct a Scale Model Use this scale to find the length of the statue’s index finger on the model height actual height 1 ● 8 = 7. 2 ● x Find the cross products. Multiply. Then divide each side by 7. 2. Simplify. Answer: The finger in the model is about 1. 1 inches long.

STATUE Marnie created a model of her town’s statue of Jebediah Springfield. Her model was 6 inches high. The actual statue is 27 feet tall. What is the scale of this model to the actual statue? Use the scale to determine the length of the statue’s mustache on the model, which is 3 feet long on the actual statue. A. 1 inch = 4. 5 feet; about 0. 67 inch B. 1 inch = 4 feet; about 0. 75 inch C. 1 inch = 3. 5 feet; about 0. 84 inch D. 1 inch = 3. 3 feet; about 0. 92 inch 1. 2. 3. 4. A B C D

End of the Lesson

Five-Minute Check (over Lesson 4– 9) Image Bank Math Tools Solving Proportions Dilations Similar Triangles

(over Lesson 4 -9) At the same time a 4 foot fencepost casts a 6 foot shadow, a cellular tower casts a 50 foot shadow. How tall is the cellular tower to the nearest tenth? A. 24. 4 feet B. 33. 3 feet C. 50 feet D. 66. 6 feet 1. 2. 3. 4. A B C D

(over Lesson 4 -9) If the man in the picture is 6 feet tall, how tall is the tree? A. 12 feet B. 24 feet C. 36 feet D. 48 feet 1. 2. 3. 4. A B C D

(over Lesson 4 -9) A mother and daughter are standing next to each other. The mother is 160 centimeters tall and has a shadow that is 100 centimeters long. The daughter’s shadow is 50 centimeters long. How tall is the daughter? A. 80 centimeters B. 100 centimeters C. 110 centimeters D. 120 centimeters 1. 2. 3. 4. A B C D