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Introduction to Circles

Introduction to Circles

Assessment

Presentation

Mathematics

8th Grade

Medium

CCSS
7.G.B.4, HSG.C.A.2

Standards-aligned

Created by

Megan Sanders

Used 37+ times

FREE Resource

14 Slides • 20 Questions

1

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Keep track of these notes. We will add to them every few days.

Geometry

2

​Parts of a circle

​Add the following information to your notes:

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3

Multiple Choice

Question image

To determine the length of the hand on the clock, you would need to find...

1

diameter

2

radius

3

circumference

4

area

4

Multiple Choice

Question image

To determine the distance around the clock you would need to find...

1

diameter

2

radius

3

circumference

4

area

5

Multiple Choice

Question image

To find the amount of grass seed needed to cover the garden, you would need to calculate

1

diameter

2

radius

3

circumference

4

area

6

Multiple Choice

Question image

To find the length of fence required to go all the way around the garden, you would need to calculate

1

diameter

2

radius

3

circumference

4

area

7

Multiple Choice

Question image

To find the length of a slice of pizza, you would need to calculate

1

diameter

2

radius

3

circumference

4

area

8

Multiple Choice

Question image

To find the distance across the pizza, you would need to calculate

1

diameter

2

radius

3

circumference

4

area

9

Multiple Choice

Question image

To find the amount of glass needed to cover the mirror, you would need to calculate

1

diameter

2

radius

3

circumference

4

area

10

Multiple Choice

Question image

To find the length of decorative edging around the mirror, you would need to calculate

1

diameter

2

radius

3

circumference

4

area

11

Multiple Choice

Question image

To find the distance across the ferris wheel, you would need to calculate

1

diameter

2

radius

3

circumference

4

area

12

Multiple Choice

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To find the length of the support beam, you would need to calculate

1

diameter

2

radius

3

circumference

4

area

13

Multiple Choice

Question image

To find the length of blue cover padding, you would need to calculate

1

diameter

2

radius

3

circumference

4

area

14

Multiple Choice

Question image

To find the amount of fabric canvas to make the trampoline, you would need to calculate

1

diameter

2

radius

3

circumference

4

area

15

​Parts of a circle

Back to your notes:

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16

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  • ​What does this mean?

    • When you see the π symbol in a formula or answer, this is the EXACT value. (Because you haven't rounded pi to 3.14)

17

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​We have lots of different approximations for pi. Since π never ends and never repeats, everybody could be using a different version of pi. That's not very exact is it?

18

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19

​Flip over to the back of your notes

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20

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​Fill in the information pictured here

​Pause and think about WHAT you are writing. You will have to do this on your own next. Do you understand where each step comes from?
The diameter is 2 times the radius. If the radius is 7, then 7 x 2 = 14. Therefore, the diameter is 14 cm.

21

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​Fill in the information pictured here

22

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Read carefully. These are the steps I followed. You need to fully understand each step pictured, so that you can do this on your own.

23

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Read carefully. These are the steps I followed. You need to fully understand each step pictured, so that you can do this on your own.

24

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​Fill in the information pictured here

25

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Read carefully. These are the steps I followed. You need to fully understand each step pictured, so that you can do this on your own.

26

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Read carefully. Your turn is next.

27

Multiple Choice

Question image

What was the exact circumference?

(Be careful. You need DIAMETER to find circumference. Do you have the diameter yet?)

1

100π m2100\pi\ m^2

2

314 m

3

20π20\pi m

4

62.8 m

28

Multiple Choice

Question image

What is the approximate circumference?

1

10 m

2

31.4 m

3

20π20\pi m

4

62.8 m

29

Multiple Choice

Question image

What is the exact area?

1

20π20\pi m

2

62.8 m

3

100π m2100\pi\ m^2

4

314 m2314\ m^2

30

Multiple Choice

Question image

What is the approximate area?

1

20π20\pi m

2

62.8 m

3

100π m2100\pi\ m^2

4

314  m2m^2  

31

Multiple Choice

Question image

What is the exact circumference?

1

8π8\pi km

2

25.12 km

3

16π km216\pi\ km^2

4

50.24 km

32

Multiple Choice

Question image

What is the approximate circumference?

1

8π8\pi km

2

25.12 km

3

16π km216\pi\ km^2

4

50.24 km

33

Multiple Choice

Question image

What is the exact area?

(Be careful, you need RADIUS for area. Find that first.)

1

8π8\pi km

2

25.12 km

3

16π km216\pi\ km^2

4

50.24 km

34

Multiple Choice

Question image

What is the approximate area?

1

8π8\pi km

2

25.12 km

3

16π km216\pi\ km^2

4

50.24 km2km^2  

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Keep track of these notes. We will add to them every few days.

Geometry

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