M7 Unit 3 Study Guide
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Last updated about 5 years ago
17 questions
Note from the author:
Illustrative Mathematics Grade 7 Unit 3
3
A circle has a diameter of 60 in. Find its area using 3.14 as an approximation for pi.
A circle has a diameter of 60 in. Find its area using 3.14 as an approximation for pi.
1
Ļ is the constant of proportionality relating the diameter of a circle to its circumference.
Ļ is the constant of proportionality relating the diameter of a circle to its circumference.
1
Ļ is the constant of proportionality relating the radius of a circle to its area.
Ļ is the constant of proportionality relating the radius of a circle to its area.
1
4Ļ is the area of a circle of radius 2.
4Ļ is the area of a circle of radius 2.
1
4Ļ is the area of a circle of diameter 2.
4Ļ is the area of a circle of diameter 2.
1
2Ļ is the circumference of a circle of diameter 2.
2Ļ is the circumference of a circle of diameter 2.
1
2Ļ is the circumference of a circle of radius 2.
2Ļ is the circumference of a circle of radius 2.
2
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.
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.
1
Is there a proportional relationship between diameter and another measurement of a circle?
Is there a proportional relationship between diameter and another measurement of a circle?
1
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.
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.
1
The distance a cart travels one time around the Ferris Wheel.
The distance a cart travels one time around the Ferris Wheel.
1
The distance a toy train travels around a Christmas tree in a circle.
The distance a toy train travels around a Christmas tree in a circle.
1
The amount of pizza for a pizza with a 14 inch diameter.
The amount of pizza for a pizza with a 14 inch diameter.
5
Write an expression that correctly calculatesĀ the perimeter of the shape. Write your expression in two different ways. Show your work!
Write an expression that correctly calculatesĀ the perimeter of the shape. Write your expression in two different ways. Show your work!
3
What is the perimeter of this figure, to the nearest unit?
What is the perimeter of this figure, to the nearest unit?
3
What is the area of this figure, to the nearest square unit?
What is the area of this figure, to the nearest square unit?
5
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.
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.