Lesson 11: Scales without Units | Unit 1: Scale Drawings

Open Ended

A scale drawing of a car is presented in the following three scales. Order the scale drawings from smallest to largest. Explain your reasoning. (There are about 1.1 yards in 1 meter, and 2.54 centimeters in 1 inch.) 1. 1 inch to 1 foot 2. 1 inch to 1 meter 3. 1 inch to 1 yard

Multiple Select

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

• $$\frac{1}{12}$$ to 1

• 5 to 60

• 100 to 0.12

• 9 to 108

• 1 to 12

Multiple Choice

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?

• 48 feet

• 36 feet

• 24 feet

• 12 feet

Multiple Choice

Which scale is equivalent to 1 cm to 1 km?

• 1 to 1000

• 10,000 to 1

• 1 to 100,000

• 100,000 to 1

• 1 to 1,000,000

Multiple Select

Which of these scales is equivalent to the scale 1 cm to 5 km? Select **all** that apply.

• 3 cm to 15 km

• 1 mm to 150 km

• 5 cm to 1 km

• 5 mm to 2.5 km

• 1 mm to 500 m

Open Ended

A map of Colorado says that the scale is 1 inch to 20 miles or 1 to 1,267,200. Are these two ways of reporting the scale the same? Explain your reasoning.

Open Ended

Lin has a scale model of a modern train. The model is created at a scale of 1 to 48. The height of the model train is 102 millimeters. What is the actual height of the train in meters? Explain your reasoning.

Open Ended

Lin has a scale model of a modern train. The model is created at a scale of 1 to 48. On the scale model, the distance between the wheels on the left and the wheels on the right is $$1\frac14$$ inches. The state of Wyoming has old railroad tracks that are 4.5 feet apart. Can the modern train travel on those tracks? Explain your reasoning.

Multiple Select

Jada has a scale map of Kansas that fits on a page in her book. The page is 5 inches by 8 inches. Kansas is about 210 miles by 410 miles. Select **all** scales that could be a scale of the map. (There are 2.54 centimeters in an inch.)

• 1 in to 1 mi

• 1 cm to 1 km

• 1 in to 100 mi

• 1 in to 10 mi

• 1 cm to 200 km