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DO NOW!Convert the following fractions to percentages.

4

5

7

14

3

4

5

8

10

15

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LESSON 29:

Circle Graphs and Central AnglesStandard: 7.S.2

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When reading this circle graph we look for the following piecesof information:

Graph Title--A graph title gives an overview of the informationdisplayed in the graph. The title is given at the top of the graph.Sectors--Each sector represents one part of the whole. The

size of each sector represents its fraction of the whole.Sector Labels--The label of each sector indicates the categoryof information it refers to, and may also give numeric data(often a percentage) so we know the size of each sector.

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What accounts for nearly one fifth of their budget? Childcare

What do you think they spend 30% of their income on?

What % of their budget is spent on "other" expenses?

The Green family's monthly budget

30%

9%

12%

18%

11%

10%Housing

Other

Taxes

Food

Childcare

Transport

Healthcare10%

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How do we measure the central angles of a circle graph,when only given the fraction?

For example, if we have a fraction of , how do we find the angle?34

You can use proportions...

Or you can use decimals and multiply...

Drawing a circle graph

A central angle is an angle formed by any two radii of a circle -these are what we use to form the circle graph.

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0.25 x 360 = 90

0.2 x 360 = 72

0.1 x 360 = 36

0.2 x 360 = 72

0.1 x 360 = 36

0.1 x 360 = 36

0.05 x 360 = 18

90o

72

o

36o

72o

36o

36o

18o

Other

Housing

Food

Healthcare

Transport

Taxes

Savings

25%

20%

10%

20%

10%

10%

5%

Expense %O

Lee Family Expenditure

100%TOTAL 360o

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Other

Housing

Food

Insurance

Transport

Loans

Savings

25%

20%

10%

20%

10%

10%

5%

Expense %O

Lee Family Expenditure

100%TOTAL

90

o

72o

36o

72o

36o

36o

18o

360o

H25%

F20%

I

10%

Use the Line Tool to complete the circle graph

HF

I

T

L

S

O

0o

0o

0o

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Color Number of

Fraction Percent Degrees

for Central

Angle

Red 13

Blue 10

Purple 11

Green 7

Other 9

Example 1: In order to create a circle graph, we need to be

able to find the percent and central angle degrees!

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Draw and complete the following table, to show the

percentage and number of degrees.

Sport Number of

Fraction Percent Degrees

Football 10

Baseball 15

Soccer 11

Other 6

Favorite sportsExample 2:

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Fund RaisingActivities

Number Fraction Percent Degrees

Bake Sale 3

Candy Sale 5

Car Wash 2

Garage Sale 4

Other 6

Fundraising Activities

Example 3:

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COMPLETE THE WORKSHEET!

Sport Number of

Fraction Percent Central

Angle

Degrees

Football 12

Baseball 10

Soccer 5

Other 2

Flavor Number of

Fraction Percent Central

Angle

Strawberr 9

Chocolate 7

Banana 5

Cherry 3

Other 1

1

2

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Fund RaisingActivities

Number Fraction Percent Degrees

LEARNING LOG - 7.S.2 - Circle GraphsCreate your own table and, from that, show and explain how to create a circle graph.

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LEARNING LOG - Instruments - 7.S.2

What percent of the total number of students play orchestra?

Show all work!

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\$1,050

\$420

\$630

How much do they spend on housing?

Grandma Garcia comes to live with the family. How muchwill they save on childcare each month?

How much do they spend on food?

30%

9%

12%

18%

11%

10%Housing

Other

Taxes

Food

Childcare

Transport

Healthcare 10%

The Garcia family's total monthly income is \$3,500

How much do they spend on each of the other items?

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If the Lee family spend \$844 per month on transportation,what is their monthly income?

Other

Housing

Food

Insurance

Transport

Loans

Savings

25%

20%

10%

20%

10%

10%

5%

\$4,220 (844 x 5)

How much do the spend on "other" items each month?

\$211