Lesson 8.1: Scale Factors and Scale Drawings

Lesson 8.1

Solve Problems involving Scale Drawings​

By Reed Carbone

Definitions:

​Scale Factor: A scale factor is a common number you can multiply all of your side lengths on a figure by. If you multiply all of your side lengths on a figure by the same scale factor, then you will create a scale drawing.

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Scale Drawing: A scale drawing is a drawing that is bigger or smaller than your original drawing, but it will always be proportional.​

Subject | Subject

Some text here about the topic of discussion

​Visual:

​You have a line with length 3 and you want to scale it to make it 3 times larger. What is the new length of the line?

Multiple Choice

You have a line with length 2 and you want to scale it to make it 2 times as large. What is the new length of the line?

• 0.5

• 2

• 4

• 8

​What is the scale factor? What is the new side length of the house?

​On a map, 1 inch equals 5 miles. Two cities are 8 inches apart on the map. What is the actual distance between the cities?

Multiple Choice

On a map 1 inch = 10 miles. You notice your friends house is 5 inches away from you on the map. How far is it in real life?

• 1 mile

• 5 miles

• 10 miles

• 50 miles

​Ryan makes a scale drawing of a banner for a school dance. He uses a scale factor of 1 in = 3 feet. Since the width of the banner is 15 feet, what is the actual width of the banner?

Multiple Choice

A drawing of a tennis court has a scale factor 1 centimeter is 2 meters. If the drawing shows the baseline is 3 centimeters long, how long is the baseline actually?

• 2 meters

• 2 centimeters

• 6 meters

• 6 centimeters

​Conclusion: Write two complete sentences about what you learned.

Rank yourself 1-4.