Lesson 29  Circle Graphs
of 16

Author
misterreid 
Category
Documents

view
219 
download
0
Embed Size (px)
Transcript of Lesson 29  Circle Graphs

8/7/2019 Lesson 29  Circle Graphs
1/16
DO NOW!Convert the following fractions to percentages.
4
5
7
14
3
4
5
8
10
15

8/7/2019 Lesson 29  Circle Graphs
2/16
LESSON 29:
Circle Graphs and Central AnglesStandard: 7.S.2

8/7/2019 Lesson 29  Circle Graphs
3/16
When reading this circle graph we look for the following piecesof information:
Graph TitleA graph title gives an overview of the informationdisplayed in the graph. The title is given at the top of the graph.SectorsEach sector represents one part of the whole. The
size of each sector represents its fraction of the whole.Sector LabelsThe 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.

8/7/2019 Lesson 29  Circle Graphs
4/16
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%

8/7/2019 Lesson 29  Circle Graphs
5/16

8/7/2019 Lesson 29  Circle Graphs
6/16
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.

8/7/2019 Lesson 29  Circle Graphs
7/16
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

8/7/2019 Lesson 29  Circle Graphs
8/16
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

8/7/2019 Lesson 29  Circle Graphs
9/16
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!

8/7/2019 Lesson 29  Circle Graphs
10/16
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:

8/7/2019 Lesson 29  Circle Graphs
11/16
Fund RaisingActivities
Number Fraction Percent Degrees
Bake Sale 3
Candy Sale 5
Car Wash 2
Garage Sale 4
Other 6
Fundraising Activities
Example 3:

8/7/2019 Lesson 29  Circle Graphs
12/16
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

8/7/2019 Lesson 29  Circle Graphs
13/16
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.

8/7/2019 Lesson 29  Circle Graphs
14/16
LEARNING LOG  Instruments  7.S.2
What percent of the total number of students play orchestra?
Show all work!

8/7/2019 Lesson 29  Circle Graphs
15/16
$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?

8/7/2019 Lesson 29  Circle Graphs
16/16
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