There are 2.54 cm in an inch, 12 inches in a foot, and 5,280 feet in a mile. Which expression gives the number of centimeters in a mile?

A.

B.

C.

D.

E.

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Explain your reasoning.

Your teacher will give you some cards with a scale on each card.

Sort the cards into sets of equivalent scales. Be prepared to explain how you know that the scales in each set are equivalent. Each set should have at least two cards.

Trade places with another group and check each other’s work. If you disagree about how the scales should be sorted, work to reach an agreement.

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Next, record one of the sets with three equivalent scales and explain why they are equivalent.

As of 2016, Tunisia holds the world record for the largest version of a national flag. It was almost as long as four soccer fields. The flag has a circle in the center, a crescent moon inside the circle, and a star inside the crescent moon.

Complete the table.

What value goes in cell A?

Do not include units (centimeters) in your answer.

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What value goes in cell B?

Do not include units (meters) in your answer.

What value goes in cell C?

Do not include units (centimeters) in your answer.

Explain or show your reasoning.

Complete each scale with the value that makes it equivalent to the scale of 1 to 2,000.

1 cm to ____ cm

Explain or show your reasoning.

1 cm to ____ m

Explain or show your reasoning.

1 cm to ____ km

Explain or show your reasoning.

2 m to _____ m

Explain or show your reasoning.

5 cm to ____ m

Explain or show your reasoning.

____ cm to 1,000 m

Explain or show your reasoning.

____ mm to 20 m

Explain or show your reasoning.

What is the area of the large flag?

Do not include units (square meters) in your answer.

What is the area of the smaller flag?

Do not include units (square centimeters) in your answer.

The area of the large flag is how many times the area of the smaller flag?

Your teacher will give you a floor plan of a recreation center.

What is the scale of the floor plan if the actual side length of the square pool is 15 m? Express your answer as a scale with units.

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Express your answer as a scale without units.

Type your answer in the format:

3:4

with no spaces.

Find the actual area of the large rectangular pool.

Do not include units (square meters) in your answer.

Show your reasoning.

The kidney-shaped pool has an area of 3.2 cm^{2} on the drawing. What is its actual area?

Do not include units (square meters) in your answer.

Explain or show your reasoning.

Lin and her brother each created a scale drawing of their backyard, but at different scales. Lin used a scale of 1 inch to 1 foot. Her brother used a scale of 1 inch to 1 yard.

Express Lin's scale for her drawing without units.

Type your answer in the format:

3:4

with no spaces.

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Express Lin's brother's scale for his drawing without units.

Type your answer in the format:

3:4

with no spaces.

Whose drawing is larger?

How many times as large is it?

Explain or show your reasoning.