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M7 Unit 3 Study Guide

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Last updated over 5 years ago
17 questions
Note from the author:
Illustrative Mathematics Grade 7 Unit 3
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Question 14
14.

Write an expression that correctly calculates the perimeter of the shape. Write your expression in two different ways. Show your work!

3
3
5
Question 17
17.

A groundskeeper needs grass seed to cover a circular field, 280 feet in diameter.

A store sells 25-pound bags of grass seed. One pound of grass seed covers about 400 square feet of field.

What is the smallest number of bags the groundskeeper must buy to cover the circular field? Explain or show your reasoning.

HINT:
Step 1: Find the area of the circular field.
Step 2: Find out how many bags of grass seed you will need.

Question 1
1.

A circle has a diameter of 60 in. Find its area using 3.14 as an approximation for pi.

Question 2
2.

Question 3
3.

Question 4
4.

Question 5
5.

Question 6
6.

Question 7
7.

Question 8
8.

Question 9
9.

Is there a proportional relationship between diameter and another measurement of a circle?

Question 10
10.

Question 11
11.

Question 12
12.

Question 13
13.

Question 15
15.

What is the perimeter of this figure, to the nearest unit?

Question 16
16.

What is the area of this figure, to the nearest square unit?

π is the constant of proportionality relating the diameter of a circle to its circumference.
True
False
π is the constant of proportionality relating the radius of a circle to its area.
True
False
4π is the area of a circle of radius 2.
True
False
4π is the area of a circle of diameter 2.
True
False
2π is the circumference of a circle of diameter 2.
True
False
2π is the circumference of a circle of radius 2.
True
False
A class measured the diameter and area of various circular objects. The results are plotted on the graph.

Does there appear to be a proportional relationship between the diameter and area of a circle? Explain or show your reasoning.
Yes, there does appear to be a proportional relationship because...
No, there does NOT appear to be proportional relationship because...
For each quantity, decide whether circumference or area would be needed to calculate it.

The coverage a cell phone tower provides if it picks up signals within a 65 mile radius.
Circumference
Area
The distance a cart travels one time around the Ferris Wheel.
Circumference
Area
The distance a toy train travels around a Christmas tree in a circle.
Circumference
Area
The amount of pizza for a pizza with a 14 inch diameter.
Circumference
Area