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Project Town Naku Sa Math

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Its a math proj(redesigned)

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Project Town Naku Sa Math

  1. 1. Venn Diagram “1-3 Operation with sets” By: Bret Monsanto
  2. 2. <ul><li>The intersection of sets A&B, written as AΩB, is the sets of elements that are in both A&B. </li></ul>Definition
  3. 3. How can sets be illustrated? <ul><li>Relations between sets can be illustrated through Venn Diagrams (named after John Venn). </li></ul>AΩB={5} A={1,3,5} B={5,7,9} Example: 5 1 3 7 9 A B
  4. 4. What are the contents of a Venn Diagram? <ul><li>In a Venn Diagram each set is represented by a circle or another closed figure. </li></ul>Circle (Closed Figure) Box
  5. 5. How do we use the Venn Diagram? <ul><li>We can use the Venn Diagram in finding union and intersection… </li></ul><ul><li>Please press enter to proceed… </li></ul>
  6. 6. Example 1 <ul><li>A={5,8} </li></ul><ul><li>B={8,9,10} </li></ul><ul><li>AΩB={8} </li></ul>5 A B 8 9 10 Symbol for intersection
  7. 7. What if there is no Intersection? <ul><li>then… </li></ul><ul><li>If A={1,5,8} and </li></ul><ul><li>B={9,11,4} </li></ul>A AΩB ={} 1 5 8 9 11 4 Empty Bracket B Separated figures
  8. 8. Now lets have Exercises! <ul><li>Please analyze properly… </li></ul><ul><li>B={8,5,3} </li></ul><ul><li>R={23,5,7} </li></ul><ul><li>Before you press enter, pls. review your answer… </li></ul>
  9. 9. The answer is… 5 8 3 23 7 A B BΩR={5}
  10. 10. Exercise 2… <ul><li>E={100,98,78} </li></ul><ul><li>T={89,1,67,200} </li></ul><ul><li>Remember that this is a really a crucial step so make yourself proud! </li></ul>
  11. 11. You got the answer! <ul><li>then the answer must be... </li></ul>GreAT! E T 100 98 78 89 67 200 1 0 EΩT={} What!!!? I didn’t get it right! Why oh why!!
  12. 12. <ul><li>Now I remember!!! </li></ul><ul><li>It was written on slide 7! </li></ul><ul><li>Lets review it! </li></ul>Why?!!
  13. 13. If there is no Intersection? <ul><li>then… </li></ul><ul><li>If A={1,5,8} and </li></ul><ul><li>B={9,11,4} </li></ul>A AΩB ={} 1 5 8 9 11 4 Empty Bracket B Separated figures Slide 7…
  14. 14. <ul><li>…because there was no intersection, I should have separated the closed circles like this: </li></ul>Oh!!! That’s why!
  15. 15. Lets try it again! <ul><li>E={100,98,78} </li></ul><ul><li>T={89,1,67,200} </li></ul>EΩT={} 100 98 78 89 1 67 200 E T
  16. 16. Now that were ready, LETS DO another Exercise! <ul><li>If V={57,3,34,51,7} and </li></ul><ul><li>U={90,45,32,78} </li></ul><ul><li>Note: In this stage your alone to solve your problems </li></ul>
  17. 17. Your answer is… <ul><li>Press enter when your ready. </li></ul>57 3 34 51 7 90 45 32 78 VΩU={} V U
  18. 18. Exercise 3 <ul><li>If W={67,3,9,90,12} </li></ul><ul><li>and E={76,3,9,89,12} </li></ul><ul><li>Press enter when your ready… </li></ul>
  19. 19. Your answer is… W={67,3,9,90,12} and E={76,3,9,89,12} 67 3 9 90 12 76 89 W E WΩE={3,9,12}
  20. 20. Now that were done with Intersection, now its time that we learn Union. <ul><li>Remember that union is symbolized as U </li></ul><ul><li>and is used and symbolized as for example… </li></ul>
  21. 21. Example: <ul><li>If D={78,98,56} and </li></ul><ul><li>M={67,78} </li></ul>98 98 78 56 67 WUE={56,98,78,67} D M
  22. 22. Exercise one 1: <ul><li>If A={1,5,8} </li></ul><ul><li>and B={9,5,1} </li></ul>98 5 9 8 A B 1 AUB={8,5,1,9} Your answer is…
  23. 23. Exercise 2… <ul><li>If C={9,67,34} and </li></ul><ul><li>N={67,90,45} </li></ul>98 67 9 34 C N CUN={9,67,34,90,45} 90 45
  24. 24. Exercise 3 <ul><li>If F={45,21,1,3} and </li></ul><ul><li>J={86,67,32} </li></ul>98 1 45 21 F J FUJ={45,21,1,3,86,67,32} 86 67 3 32
  25. 25. Exercise 4 <ul><li>O={56,78,32} and </li></ul><ul><li>T={34,4,7} </li></ul>98 56 32 O T OUT={56,78,32,34,4, 7} 4 7 78 34
  26. 26. Last Exercise… <ul><li>If Y={9,8,7,6} and </li></ul><ul><li>H={1,2,3,4} </li></ul>98 9 6 Y H YUH={9, 8,7,6,1,2, 3,4} 1 7 8 2 3 4
  27. 27. I hope you learned!

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