M7 Unit 3 Assessment
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Illustrative Mathematics Grade 7 Unit 3
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Illustrative Mathematics Grade 7 Unit 3
A class measured the diameter and circumference of various circular objects. The results are plotted on the graph.
Why might the measured diameters and circumferences not be exactly proportional?
Select all the expressions that correctly calculate the perimeter of the shape. 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, 290 feet in diameter.
A store sells 25-pound bags of grass seed. One pound of grass seed covers about 200 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 circle has radius 70 cm. Find its area using 3.14 as an approximation for pi. SHOW YOUR WORK OR EXPLAIN YOUR REASONING.
π is the area of a circle of diameter 1.
π is the area of a circle of radius 1.
π is the constant of proportionality relating the radius of a circle to its area.
π is the constant of proportionality relating the diameter of a circle to its circumference.
π is the circumference of a circle of radius 1.
π is the circumference of a circle of diameter 1.
A class measured the diameter and circumference of various circular objects. The results are plotted on the graph.
Does there appear to be a proportional relationship between the diameter and circumference of a circle? Explain or show your reasoning.
For each quantity, decide whether circumference or area would be needed to calculate it.
The amount of pie consumed if ¼ of the pie is eaten
The distance traveled riding the carousel.
The amount of paint to cover a circular painting.
The distance around a circular garden.