Aim: How do we graph data on a circle graph? A central angle has the center of a circle for its...
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Transcript of Aim: How do we graph data on a circle graph? A central angle has the center of a circle for its...
Aim: How do we graph data on a circle graph?
A central angle has the center of a circle for its vertex the rays are radii of the circle
A circle graph represents data as a part of a whole using a circle.
A circle graph is sometimes called a pie chart.
A circle measures ________ degrees and represents ________ percent.
360100
Aim: How do we graph data on a circle graph?
If 400 people were surveyed, how many people like cherry pie?
part = %whole 100
x
x = 92
100
Percentage Proportion
400___ = 23___
92 people liked cherry pie.
Aim: How do we graph data on a circle graph?
If 400 people were surveyed, how many people like pecan pie?
part = %whole 100
x
x = 32
100
Percentage Proportion
400___ = 8___
32 people liked pecan pie.
Aim: How do we graph data on a circle graph?
(2007)
part = %whole 100
15
x = 25
10060___ = x___
25 students play the violin.
Aim: How do we graph data on a circle graph?
(2008)
Aim: How do we graph data on a circle graph?
Step 3 - Calculate the central angle by multiplying the decimal by 360 ο.
Step 2 - Calculate the percent by multiplying the decimal by 100.
Division of Crops
CROP AREA (ACRES) DECIMAL PERCENT CENTRAL ANGLE
Corn
Soybeans
Fallow
Mixed Vegetables
Wheat
70
40
50
10
30
70/200=0.35
40/200=0.2
50/200=0.25
10/200=0.05
30/200=0.15
Step 1 - Calculate the decimal by dividing the number of each category by the total.
35%
20%
25%
5%
15%
0.35 x 360ο = 126
0.2 x 360ο = 72
ο
0.2 x 360ο = 90
ο
0.05 x 360ο = 18
ο
0.15 x 360ο = 54
ο
Complete the table to show the data. Round to the nearest whole number. Then make a circle graph to represent the data.
100% 360 ο
Check to make sure the percents total 100% .
Check to make sure the degrees total 360 ο.
TOTAL 200
Aim: How do we graph data on a circle graph?
Corn 35%
Step 4 - Construct a circle graph for this data. Label each sector with a name and percent.
Division of Crops
CROP PERCENT CENTRAL ANGLE
Corn 35% 126ο
Soybeans 20% 72ο
Fallow 25% 90ο
Mixed Vegetables
5% 18ο
Wheat 15% 54ο
Aim: How do we graph data on a circle graph?
Corn 35%
Step 4 - Construct a circle graph for this data. Label each sector with a name and percent.
Division of Crops
CROP PERCENT CENTRAL ANGLE
Corn 35% 126ο
Soybeans 20% 72ο
Fallow 25% 90ο
Mixed Vegetables
5% 18ο
Wheat 15% 54ο
Soybeans 20%
Aim: How do we graph data on a circle graph?
Corn 35%
Step 4 - Construct a circle graph for this data. Label each sector with a name and percent.
Division of Crops
CROP PERCENT CENTRAL ANGLE
Corn 35% 126ο
Soybeans 20% 72ο
Fallow 25% 90ο
Mixed Vegetables
5% 18ο
Wheat 15% 54ο
Soybeans 20%
Fallow 25%
Aim: How do we graph data on a circle graph?
Corn 35%
Step 4 - Construct a circle graph for this data. Label each sector with a name and percent.
Division of Crops
CROP PERCENT CENTRAL ANGLE
Corn 35% 126ο
Soybeans 20% 72ο
Fallow 25% 90ο
Mixed Vegetables
5% 18ο
Wheat 15% 54ο
Soybeans 20%
Fallow 25%
\ Mixed Veg. 5%
Aim: How do we graph data on a circle graph?
\ Mixed Veg. 5%
Corn 35%
Step 4 - Construct a circle graph for the data. Label each sector with a name and percent.
Division of Crops
CROP PERCENT CENTRAL ANGLE
Corn 35% 126ο
Soybeans 20% 72ο
Fallow 25% 90ο
Mixed Vegetables
5% 18ο
Wheat 15% 54ο
Soybeans 20%
Fallow 25%
Wheat 15%
Step 5 - Title the graph. Label each sector with a name and percent.
Division of Crops
Aim: How do we graph data on a circle graph?The table below shows the favorite ice cream flavors of Alexis' 25 classmates.Using your protractor, create a circle graph to display this data.
Be sure to·title your circle graph·label each section of your circle graph
Be sure to·title your circle graph·label each section of your circle graph
2)
Favorite Ice Cream FlavorsIce Cream Flavor
Number of Classmates
DECIMAL PERCENT CENTRAL ANGLE
Vanilla 4Chocolate 10
Mint 6
Strawberry 5
25
4/25=0.16
10/25=0.4
6/25= 0.24
5/25 = 0.2
16%
40%
24%
20%
0.16 x 360 ο
= 57.6 ο
0.4 x 360 ο = 144
ο
0.24 x 360 ο = 86.4
ο
.2 x 360 ο = 72
ο100% 360 οTOTAL
Aim: How do we graph data on a circle graph?The table below shows the favorite ice cream flavors of Alexis' 25 classmates.Using your protractor, create a circle graph to display this data.
Be sure to·title your circle graph·label each section of your circle graph
Be sure to·title your circle graph·label each section of your circle graph
2)
Favorite Ice Cream FlavorsIce Cream Flavor PERCENT CENTRAL
ANGLEVanilla 16% 57.6
ο
Chocolate 40% 144 ο
Mint 24% 86.4 ο
Strawberry 20% 72 ο
FAVORITE ICE CREAM FLAVORS
Strawberry20%
Vanilla16%
Chocolate40%
Mint24%
Aim: How do we graph data on a circle graph?
3)(2006)
Newsletter15%
Supplies20%
Other expenses10%
Special Activities55%
Central Angle
.15 x 360 = 54o
.20 x 360 = 72o
.55 x 360 = 198o
.10 x 360=36o
Aim: How do we graph data on a circle graph?
1)
2)
(2008)
4)
90/360 = .25 = 25%
54/360 = .15 = 15%
36/360 = .1 = 10%
TOTAL = 100%
NOTEBOOK COLORS
Yellow25%
Blue50%
Green10%
Red15%
Aim: How do we graph data on a circle graph?
Butterflies Collected
Parker collected 50 butterflies for his collection last year. The butterflies were of four types. The table below shows how many of each type he collected. Using your protractor, create a circle graph to display this data.
Be sure to·title your circle graph·label each section of your circle graph
Be sure to·title your circle graph·label each section of your circle graph
5)
Percent
40%
22%
6%
32%
Degrees
144
79.2
21.6
115.2
Type of Butterfly
Number of Classmates
Monarch 20
Red Admiral
11
Painted Lady
3
Viceroy 16
Monarch 40 %
Red Admiral 22 %
|Painted Lady 6 %
Viceroy 32 %
Butterflies Collected