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Problems Involving
      Sets
       Presented by
  Maryleigh P. Castillo
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.
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
Review…

• What is Venn Diagram?
• What are different set
  operations?
Activity
  A trip to Palawan…




      C:UsersuserVideospalawan.wmv
a. How can you describe
   Palawan Province?
b. What are the three places in
   Palawan that was shown in
   the video?
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.
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
U
      C                T
              2
     11                    1
              10
          1        5

               4
16            E
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.
Analysis
Lists all the given then draw the Venn
  diagram.
  15 – use Facebook        and 12 – Twitter

         U
                    F       T

               13       2   10
Abstraction

In solving problem, application
  of the knowledge in sets and
  the use of Venn diagram and
  sets operations are necessary.
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?
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
Video presentation that shows a
connection in real life situation of
     problem involving sets.
videosThe Most Movie (father heart of GOD).mp4
Evaluation
The 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 you
   and
God Bless..

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Problems involving sets

  • 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..

Editor's Notes

  1. 박수와 건강 음악에 맞추어서 박수를 쳐 봅시다.