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6-8 Grade 7 Unit 3 Lesson 5

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K-5 Math •6-8 Math 9-12 Math

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Grade 6 •Grade 7 Grade 8

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Unit 1 Unit 2 •Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 •Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11

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Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8
Unit 9

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Lesson 2
Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Lesson 10
Lesson 11

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IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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Unit 3, Lesson 5

Circumference and Wheels (Optional)

Grade 7

Practice

Problem 1

Student Task Statement

Find the distance each wheel travels.

The circumference of a wagon wheel is 25 inches. The wheel makes 4 complete rotations.
The diameter of a bike wheel is 27 inches. The wheel makes 15 complete rotations.
The radius of a skateboard wheel is 2.6 centimeters. The wheel makes 100 complete rotations.

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Problem 2

Lesson 5 Resources

Student Materials Student Materials in Spanish

Student Task Statement

The wheels on Kiran's bike are 64 inches in circumference. How many times do the wheels rotate if Kiran rides 300 yards?

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Problem 3

ForLesson 4: Applying Circumference

Student Task Statement

The numbers are measurements of diameter, radius, and circumference of Circles A and B. Circle A is smaller than Circle B. Which number belongs to which quantity?

2.5
5
7.6
15.2
15.7
47.7

diameter of Circle A: __________

radius of Circle A: __________

circumference of Circle A: __________

diameter of Circle B: __________

radius of Circle B: __________

circumference of Circle B: __________

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Problem 4

ForLesson 3: Exploring Circumference

Student Task Statement

Circle A has circumference m. Circle B has a diameter that is times as long as Circle A’s diameter. What is the circumference of Circle B?

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Problem 5

ForLesson 2: Exploring Circles

Student Task Statement

is the center of the circle, and the length of is 5 centimeters.

Circle with point A at center. Points C, E, G, B, D, F lie on the circle. Length of segment AE, 5 cm.

What is the length of segment ?
What is the length of segment ?
Name a segment that has the same length as segment .

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