Unit 3, Lesson 6

Estimating Areas

Grade 7

Practice

Problem 1

Find the area of the polygon.

A polygon. Side lengths starting at the top and moving clockwise, 2 cm, unknown, 1 cm, 4 cm, 3 cm, unknown, 3 cm, 2 cm, unknown, unknown.

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Problem 2

Draw polygons on the map that could be used to approximate the area of Virginia.

Map of Virginia. Bottom is approximately straight horizontal segment. Left side, slanted segment up and to the right. Slope of left slide starts less steep, steepness increases significantly about halfway to the top. Right side, slanted segment down and to the right. Slope is approximately consistent.
Which measurements would you need to know in order to calculate an approximation of the area of Virginia? Label the sides of the polygons whose measurements you would need. (Note: You aren’t being asked to calculate anything.)

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Problem 3

Estimate the area of Idaho. Explain your reasoning.

<p>Map of Idaho. Right side labeled with length, 170 miles. Bottom side labeled with length, 310 miles. Left side labeled with length, 480 miles. Top side labeled with length, 45 miles. </p>

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Problem 4

ForLesson 4: Applying Circumference

The radius of Earth is approximately 6,400 km. The equator is the circle around Earth dividing it into the northern and southern hemispheres. (The center of the earth is also the center of the equator.) What is the length of the equator?

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Problem 5

ForLesson 5: Circumference and Wheels

Jada’s bike wheels have a diameter of 20 inches. How far does she travel if the wheels rotate 37 times?

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Estimating Areas

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Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Lesson 6 Resources