Transcript circle graph - Mrs. Williams Math Class Website

Aim: How do we graph data on a circle graph?
A circle graph represents data
as a part of a whole using a
circle.
A circle graph is sometimes
called a pie chart.
360
A circle measures ________
100
degrees and represents ________
percent.
A central angle has the center
of a circle for its vertex the rays
are radii of the circle
Aim: How do we graph data on a circle graph?
If 400 people were surveyed, how many people like cherry pie?
Percentage Proportion
part
whole
=%
100
x
___
23
= ___
400
100
x = 92
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?
Percentage Proportion
part
whole
=%
100
x
___
8
= ___
400
100
x = 32
32 people liked
pecan pie.
Aim: How do we graph data on a circle graph?
(2007)
part
whole
=%
100
15
___
x
= ___
60
100
x = 25
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?
Complete the table to show the data. Round to the nearest whole number. Then
make a circle graph to represent the data.
Step 1 - Calculate the decimal by dividing the number of each category by the total.
Step 2 - Calculate the percent by multiplying the decimal by 100.
Check to make sure the percents total 100% .
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Step 3 - Calculate the central angle by multiplying the decimal by 360 .
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Check to make sure the degrees total 360 .
Division of Crops
CROP
AREA (ACRES)
DECIMAL
Corn
70
70/200=0.35
Soybeans
40
40/200=0.2
Fallow
50
50/200=0.25
Mixed Vegetables
10
10/200=0.05
Wheat
TOTAL
30
30/200=0.15
200
PERCENT
CENTRAL ANGLE
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35%
0.35 x 360 = 126
20%
0.2 x 360 = 72
25%
0.2 x 360 = 90
5%
0.05 x 360 = 18
15%
0.15 x 360 = 54
100%
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Aim: How do we graph data on a circle graph?
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%
126
Soybeans
20%
72
Fallow
25%
90
Mixed
Vegetables
5%
18
Wheat
15%
54
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Corn 35%
Aim: How do we graph data on a circle graph?
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%
126
Soybeans
20%
72
Fallow
25%
90
Mixed
Vegetables
5%
18
Wheat
15%
54
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Corn 35%
Soybeans
20%
Aim: How do we graph data on a circle graph?
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%
126
Soybeans
20%
72
Fallow
25%
90
Mixed
Vegetables
5%
18
Wheat
15%
54
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Corn 35%
Soybeans
20%
Fallow
25%
Aim: How do we graph data on a circle graph?
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%
126
Soybeans
20%
72
Fallow
25%
90
Mixed
Vegetables
5%
18
Wheat
15%
54
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Corn 35%
Soybeans
20%
Fallow
25%
\
Mixed
Veg. 5%
Aim: How do we graph data on a circle graph?
Step 4 - Construct a circle graph for the data. Label each sector with a name and percent.
Step 5 - Title the graph. Label each sector with a name and percent.
Division of Crops
Division of Crops
CROP
PERCENT
CENTRAL
ANGLE
Corn
35%
126
Soybeans
20%
72
Fallow
25%
90
Mixed
Vegetables
5%
18
Wheat
15%
54
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Corn 35%
Soybeans
20%
Wheat 15%
Fallow
25%
\
Mixed
Veg. 5%
Aim: How do we graph data on a circle graph?
2) The table below shows the favorite ice cream flavors of Alexis' 25 classmates.
Using your protractor, create a circle graph to display this data.
Favorite Ice Cream Flavors
Ice Cream
Number of
Flavor
Classmates
Vanilla
4
Chocolate
10
Mint
6
Strawberry
5
TOTAL
DECIMAL
4/25=0.16
10/25=0.4
6/25= 0.24
5/25 = 0.2
25
Be sure to
·title your circle graph
·label each section of your circle graph
PERCENT
16%
40%
24%
20%
100%
CENTRAL ANGLE
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0.16 x 360 = 57.6
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0.4 x 360 = 144
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0.24 x 360 = 86.4
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.2 x 360 = 72
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360
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Aim: How do we graph data on a circle graph?
2) The table below shows the favorite ice cream flavors of Alexis' 25 classmates.
Using your protractor, create a circle graph to display this data.
Favorite Ice Cream Flavors
Ice Cream Flavor PERCENT
Vanilla
Chocolate
Mint
16%
40%
24%
Strawberry
20%
FAVORITE ICE CREAM FLAVORS
CENTRAL
ANGLE
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57.6
ο
144
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86.4
ο
72
Be sure to
·title your circle graph
·label each section of your circle graph
Strawberry
20%
Vanilla
16%
Chocolate
40%
Aim: How do we graph data on a circle graph?
3)
(2006)
Central Angle
Other
expenses
10%
Supplies
20%
.15 x 360 = 54o
Newsletter
15%
.20 x 360 = 72o
.55 x 360 = 198o
.10 x 360=36o
Special
Activities
55%
Aim: How do we graph data on a circle graph?
4)
(2008)
NOTEBOOK COLORS
1)
Blue
50%
90/360 = .25 = 25%
54/360 = .15 = 15%
36/360 = .1 = 10%
TOTAL = 100%
2)
Yellow
25%
Green
10%
Aim: How do we graph data on a circle graph?
5)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.
Butterflies Collected
Butterflies Collected
Type of
Butterfly
Number of Percent
Classmates
Degrees
Monarch
20
40%
144
Red
Admiral
11
22%
79.2
Painted
Lady
3
6%
21.6
Viceroy
16
32%
115.2
Be sure to
·title your circle graph
·label each section of your circle graph
Monarch
40 %
Red
Admiral
22 %
Viceroy
32 %
|
Painted
Lady 6 %