1. Problems Involving
Sets
Presented by
Maryleigh P. Castillo

2. Objectives
At the end of the lesson the students are
expected to:
1. apply set operation to solve a
variety of word problems.
2. solve word problems involving
sets with the use of Venn Diagram.
3. participate actively in the group
activities and class discussion.

3. Applause and Health
They say that lots of handclap make
us healthy from the top to the tiptoe
Applaud the most important part
Star Bowel Shoulder HEART…
Heart Eyesight Vitality Waist
t

4. Review…
• What is Venn Diagram?
• What are different set
operations?

5. Activity
A trip to Palawan…
C:UsersuserVideospalawan.wmv

6. a. How can you describe
Palawan Province?
b. What are the three places in
Palawan that was shown in
the video?

7. Problem 1
A group of 50 students went in a tour in
Palawan province. Out of 50 students,
24 joined the trip to Coron, 18 went to
Tubbataha Reef, 20 visited El Nido, 12
made trip to Coron and Tubbataha
Reef, 15 saw Tubbataha Reef and El
Nido, 11 made a trip to Coron and El
Nido and 10 saw the three tourist spots.

8. Analysis
1. Lists all the given, then draw the Venn
Diagram
10 – 3 tourist spots
11- Coron & El Nido
15 – T. Reef & El Nido
12 – Coron & T. Reef
20 – El Nido
18 – T. Reef
24 – Coron
50 - students

9. U
C T
2
11 1
10
1 5
4
16 E

10. Problem 2
A group of 25 high school students
were asked whether they use
either Facebook or Twitter or
both. Fifteen of these students
used Facebook and twelve used
Twitter.

11. Analysis
Lists all the given then draw the Venn
diagram.
15 – use Facebook and 12 – Twitter
U
F T
13 2 10

12. Abstraction
In solving problem, application
of the knowledge in sets and
the use of Venn diagram and
sets operations are necessary.

13. Application
Solve the following problems.
1. Among the 70 kids in Brgy. Magana,
53 like to eat in Jollibee while 42 like
to eat in Mc Donalds.
a. How many kids like to eat both in
Jollibee and in Mc Donalds?
b. How many like to eat in Jollibee only?
c. How many like to eat in Mc Donalds
only?

14. 2. 90 Students went to the zoo, 3 had
hamburger, milk and cake; 5 had milk
and hamburger; 10 had cake and milk;
8 had cake and hamburger; 24 had
hamburger; 38 had cake; 20 had milk.
How many had
a. nothing
b. cake only
c. milk only
d. hamburger only

15. Video presentation that shows a
connection in real life situation of
problem involving sets.
videosThe Most Movie (father heart of GOD).mp4

16. Evaluation
The diagram shows how all 1st year
students of Maningning High School
go to school.

17. 1. How many students ride in a car, jeep and
MRT going to school?
2. How many students ride in both car and
jeep?
3. How many students ride in both car and
MRT?
4. How many students ride in both jeep and
MRT?
5. How many students go to school in car
only? in MRT only? jeep only? walking
only?
6. How many students of Maningning High
School are there?

18. Assignment:
Think of a scenario in real life
situation where problems
involving sets is shown.

19. Thank you
and
God Bless..