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Lesson Menu Five-Minute Check (over Lesson 6–7) Main Idea and Vocabulary Example 1:Use a Map Scale Example 2:Use a Blueprint Scale Example 3:Use a Scale Model Example 4:Find a Scale Factor

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

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Example 1 Use a Map Scale MAPS On the map below, the distance between Portland and Olympia is about 1.69 inches. What is the actual distance between Portland and Olympia? Let d = the actual distance between the cities. Write and solve a proportion.

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Example 1 Use a Map Scale ScalePortland to Olympia Answer: The distance between Portland and Olympia is about miles d = Divide each side by map actual map actual d ≈ 103.7

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1.A 2.B 3.C 4.D Example 1 A.about 317 km B.about 325 km C.about 330 km D.about 342 km MAPS On a map of California, the distance between San Diego and Bakersfield is about centimeters. What is the actual distance if the scale is 1 centimeter = 30 kilometers?

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Example 2 Use a Blueprint Scale ARCHITECTURE On the blueprint of a new house, each square has a side length of inch. If the length of a bedroom on the blueprint is inches, what is the actual length of the room?

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Example 2 Use a Blueprint Scale Write and solve a proportion. ScaleLength of Room blueprint actual blueprint actual Cross products Write and as improper fractions.

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Example 2 Use a Blueprint Scale Simplify. Multiply each side by 4. Answer: The length of the room is 15 feet. Multiply.

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1.A 2.B 3.C 4.D Example 2 A.6 feet B.18 feet C.24 feet D.36 feet ARCHITECTURE On a blueprint of a new house, each square has a side length of inch. If the width of the kitchen on the blueprint is 2 inches, what is the actual width of the room?

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Example 3 Use a Scale Model PHOTOGRAPHY A model is being created from a picture frame which has a length of inches. If the scale to be used is 8 inches = 1 inch, what is the length of the model? Write a proportion using the scale. ScaleLength model actual model actual

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Example 3 Use a Scale Model Find the cross products. 38=mMultiply. Answer: The scale model is 38 inches long. Write as an improper fraction.

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1.A 2.B 3.C 4.D Example 3 FURNITURE A model is being created from a child- sized rocking chair which has a height of 8 inches. If the scale to be used is 12 inches = 1 inch, what is the height of the model? A. B. C.12 in. D.96 in.

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Example 4 Convert 3 feet to inches. Find a Scale Factor Find the scale factor of a blueprint if the scale is Divide out the common units. Multiply by to eliminate the fraction in the numerator.

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Example 4 Find a Scale Factor Answer: The scale factor is That is, each measure on the blueprint is the actual measure.

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1.A 2.B 3.C 4.D Example 4 A. B. C. D. Find the scale factor of a blueprint if the scale is 1 inch = 4 feet.

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End of the Lesson

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Resources Five-Minute Check (over Lesson 6–7) Image Bank Math Tools Scale Drawings Using Proportions

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1.A 2.B 3.C 4.D Five Minute Check 1 (over Lesson 6-7) A.90 miles B.120 miles C.270 miles D.300 miles Solve the problem by drawing a diagram. The Rockwells have driven 180 miles, which is about of the way to their family reunion. What is the total distance to their family reunion?

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1.A 2.B 3.C 4.D Five Minute Check 2 Solve the problem by drawing a diagram. Tomi is eating a candy bar that is 12 inches long. She has already eaten of the candy bar. How many inches of the candy bar does she have left? (over Lesson 6-7) A. in. B. in. C.6 in. D. in.

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1.A 2.B 3.C 4.D Five Minute Check 3 A.16 ounces B.9 ounces C.12 ounces D.14 ounces Solve the problem by drawing a diagram. Toki has filled or 12 ounces of his glass. Find the total capacity of his glass. (over Lesson 6-7)

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1.A 2.B 3.C 4.D Five Minute Check 4 A.16% B.25% C.20% D.8% Solve the problem by drawing a diagram. If an 8-ounce serving of yogurt provides 10% of the daily requirement for calcium, what percent of the calcium requirement would a 20-ounce serving provide? (over Lesson 6-7)

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1.A 2.B 3.C 4.D Five Minute Check 5 A.$ B.$ C.$ D.$ Mrs. Jackson has $620 in her checking account after writing checks for $39.70, $ and $65. What was her balance before she wrote the three checks? (over Lesson 6-7)

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