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6-8 Accelerated 7 Unit 2 Lesson 7

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K-5 Math •6-8 Math 9-12 Math

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Accelerated 6 •Accelerated 7

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Unit 1 •Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 •Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18 Lesson 19

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Accelerated 6
Accelerated 7

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Lesson 7
Lesson 8
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Curriculum

IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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Unit 2, Lesson 7

Units in Scale Drawings

Accelerated 7

Practice

Problem 1

Which scales are equivalent to 1 inch to 1 foot? Select all that apply.

1 to 12
\(\frac{1}{12}\) to 1
100 to 0.12
5 to 60
36 to 3
9 to 108

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Lesson 7 Resources

Student Materials

Problem 2

A model airplane is built at a scale of 1 to 72. If the model plane is 8 inches long, how many feet long is the actual airplane?

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Problem 3

The Empire State Building in New York City is about 1,450 feet high (including the antenna at the top) and 400 feet wide. Andre wants to make a scale drawing of the front view of the Empire State Building on an \(8 \frac{1}{2}\)-inch-by-\(11\)-inch piece of paper. Select a scale that you think is the most appropriate for the scale drawing. Explain your reasoning.

1 inch to 1 foot
1 inch to 100 feet
1 inch to 1 mile
1 centimeter to 1 meter
1 centimeter to 50 meters
1 centimeter to 1 kilometer

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Problem 4

Elena finds that the area of a house on a scale drawing is 25 square inches. The actual area of the house is 2,025 square feet. What is the scale of the drawing?

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Problem 5

Which of these scales are equivalent to 3 cm to 4 km? Select all that apply. Recall that 1 inch is 2.54 centimeters.

0.75 cm to 1 km
1 cm to 12 km
6 mm to 2 km
0.3 mm to 40 m
1 in to 7.62 km

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Problem 6

These two triangles are scaled copies of one another. The area of the smaller triangle is 9 square units. What is the area of the larger triangle? Explain or show how you know.

Scaled copies of two triangles. Triangle on left, height = 3. Triangle on right, height = 6.

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