Problems Involving Sets

Presented by

Maryleigh P. Castillo

ObjectivesAt 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.

Applause and Health

They say that lots of handclap make us healthy from the top to the tip-toe

Bowel Shoul-der

Start

Start

Applaud the most impor-tant part

HEART…

Applaud the most impor-tant part

HEART… Heart Eye-

sightVitality Waist

Review…

• What is Venn Diagram?

• What are different set operations?

ActivityA trip to Palawan…

C:\Users\user\Videos\palawan.wmv

a.How can you describe Palawan Province?

b.What are the three places in Palawan that was shown in the video?

Problem 1A 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.

Analysis1. Lists all the given, then draw the

Venn Diagram10 – 3 tourist spots

11- Coron & El Nido15 – T. Reef & El Nido

12 – Coron & T. Reef20 – El Nido

18 – T. Reef24 – Coron

50 - students

UC T

E

10

2

1 5

11 1

4

16

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.

AnalysisLists all the given then draw the

Venn diagram.15 – use Facebook and 12 – Twitter

UF T

213 10

Abstraction

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

ApplicationSolve 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

Donaldsonly?

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 hada. nothing b. cake only c. milk only d. hamburger only

Video presentation that shows a connection in real life situation

of problem involving sets.

videos\The Most Movie (father heart of GOD).mp4

EvaluationThe diagram shows how all 1st

year students of Maningning High School go to school.

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?

Assignment:

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

Thank youand

God Bless..