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