Illustrative Math Grade 7 Unit 3 Review

Front

What does it mean for a quantity to be proportional to time?

Back

A quantity is proportional to time if it increases or decreases at a constant rate as time changes.

Front

How do you calculate the circumference of a circle?

Back

Circumference = π × diameter or Circumference = 2 × π × radius.

Front

What is the formula for the area of a circle?

Back

Area = π × radius².

Front

If the diameter of a circle is 37 inches, what is the radius?

Back

Radius = diameter / 2 = 37 inches / 2 = 18.5 inches.

Front

How do you find the area of a circular table with a diameter of 37 inches?

Back

Area = π × (18.5 inches)² ≈ 1,074.6 inches squared.

Front

What is the relationship between circumference and diameter?

Back

The circumference of a circle is always π times the diameter.

Front

If a bike tire has a circumference of 72 inches, how do you find the diameter?

Back

Diameter = Circumference / π ≈ 72 inches / 3.14 ≈ 22.9 inches.

Front

What is the approximate value of π?

Back

π is approximately 3.14.

Front

How do you convert circumference to area for a circle?

Back

First, find the radius from the circumference, then use the area formula: Area = π × radius².

Front

What is the area of a circle with a circumference of 63 inches?

Back

First, find the diameter: Diameter = 63 inches / π ≈ 20 inches. Then, Radius = 10 inches. Area = π × (10 inches)² ≈ 314 inches squared.