Lesson 29 - Circle Graphs

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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

    Votes

    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

    Votes

    Fraction Percent Degrees

    Football 10

    Basketball 8

    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

    Votes

    Fraction Percent Central

    Angle

    Degrees

    Football 12

    Basketball 11

    Baseball 10

    Soccer 5

    Other 2

    Flavor Number of

    Votes

    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