Venn Diagrams Introduction by dffhrtcv3

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• pg 1
```									Venn Diagrams Introduction
A VENN DIAGRAM SHOWS
RELATIONSHIPS BETWEEN SETS
OF ITEMS
The Venn Diagram below shows the results of a survey given in Ms.
Popelka’s class of 42 students - drinks that they will have sometimes
with breakfast

•All 25 of the students in the circle labeled circle Milk        Milk
(2 + 14 + 6 + 3) like to drink milk.
2
14          6
3
Orange
Coffee
Juice         5
1
4
A VENN DIAGRAM SHOWS
RELATIONSHIPS BETWEEN SETS
OF ITEMS
The Venn Diagram below shows the results of a survey given in Ms.
Popelka’s class of 42 students - drinks that they will have sometimes
with breakfast

•All 25 of the students in the circle labeled circle Milk        Milk
(2 + 14 + 6 + 3) like to drink milk.
2
•All 26 of the students in the circle labeled Orange
14          6
Juice (14 + 3 + 5 + 4) like to drink orange juice.
3
Orange
Coffee
Juice         5
1
4
A VENN DIAGRAM SHOWS
RELATIONSHIPS BETWEEN SETS
OF ITEMS
The Venn Diagram below shows the results of a survey given in Ms.
Popelka’s class of 42 students - drinks that they will have sometimes
with breakfast

•All 25 of the students in the circle labeled circle Milk        Milk
(2 + 14 + 6 + 3) like to drink milk.
2
•All 26 of the students in the circle labeled Orange
14          6
Juice (14 + 3 + 5 + 4) like to drink orange juice.
3
•All 15 of the students in the circle labeled      Orange
Coffee
Coffee (6 + 3 + 5 + 1) like to drink coffee.        Juice         5
1
4
A VENN DIAGRAM SHOWS
RELATIONSHIPS BETWEEN SETS
OF ITEMS
The Venn Diagram below shows the results of a survey given in Ms.
Popelka’s class of 42 students - drinks that they will have sometimes
with breakfast
In this example:                                   Milk
•2 students drink only milk
The two is placed in the section of the
circle that does not overlap with the
2
other two, to indicate milk only.

Orange          Coffee
Juice
A VENN DIAGRAM SHOWS
RELATIONSHIPS BETWEEN SETS
OF ITEMS
The Venn Diagram below shows the results of a survey given in Ms.
Popelka’s class of 42 students - drinks that they will have sometimes
with breakfast
In this example:
•2 students drink only milk
Milk
The two is placed in the section of the
circle that does not overlap with the
2
other two, to indicate milk only.
14
•14 drink milk and oj
The 14 is placed in the section where     Orange          Coffee
the oj and milk circles overlap, to        Juice
indicate that they like both.
A VENN DIAGRAM SHOWS
RELATIONSHIPS BETWEEN SETS
OF ITEMS
The Venn Diagram below shows the results of a survey given in Ms.
Popelka’s class of 42 students - drinks that they will have sometimes
with breakfast
In this example:
•2 students drink only milk.
Milk
The two is placed in the section of the
circle that does not overlap with the
2
other two, to indicate milk only.
14
•14 drink milk and oj.                                   3
The 14 is placed in the section where          Orange          Coffee
the oj and milk circles overlap, to             Juice
indicate that they like both.

•3 students drink milk, oj, and coffee.
The 3 is placed where all 3 circles overlap.
A VENN DIAGRAM SHOWS
RELATIONSHIPS BETWEEN SETS
OF ITEMS
The Venn Diagram below shows the results of a survey given in Ms.
Popelka’s class of 42 students - drinks that they will have sometimes
with breakfast
In this example:                                        Milk            7
•6 drink milk and coffee
•4 drink only oj                                         2
•1 drinks only coffee
•5 drink oj and coffee                             14          6
•If you add all of the numbers in the                    3
diagram, you may notice that 35
Orange            Coffee
students are counted. 42 were surveyed.       Juice      5

4                   1
•7 students do not drink any of the 3
beverages. This 7 is placed outside of the
diagram.
PRACTICE
YOU TRY

Rock                               Rap
Question: How many people enjoy
18         11          24         rock or rap?

7
8             1
18 rock only + 24 rap only + 11 rock and rap
+ 7 rock, rap, and country, + 1 rap and
country + 8 rock and country = 69 total
17

Country
PRACTICE
YOU TRY # 2

Rock                               Rap
Question: How many people do not
18         11          24         enjoy rock?

7
8             1
24 rap only + 1 rap and country + 17 country
= 42 total

17

Country
CLICK BELOW TO SEE VIDEO ON
VENN DIAGRAMS

http://www.nutshellmath.com/textbooks_glossary_demos/demos_content/prea
lg_venn_diagrams.html

http://www.ehow.com/video_4756700_do-venn-diagram-problems.html
CLICK TO SEE MORE EXAMPLES
Much More Challenging Problems
http://www.math.tamu.edu/~kahlig/venn/venn.html

http://www.purplemath.com/modules/venndiag4.htm