demo TEACHING POERPOINT PRESENTATIONNNNN

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1. GOOD MORNING, CLASS

2. In the Name of the Father, Son, and Holy Spirit.. Glorious and Blessed God, we place our work and ourselves into your hands. Anoint our creativity, our ideas, our energy so that even the smallest task may bring you honour . God, when we are challenged, guide us; when we are weary, energize us. We ask this through Christ our Lord, Amen.

3. OBJECTIVES 1 Illustrate the permutations of objects 3 Solve real life problems involving permutation 2 Derive the formula for finding the number of permutations of n objects taken r at a time,

4. Activating prior knowledge Elijah invited his cousins Azrael, Damon and Josiah in his 21st birthday which will be held at Xavier Estates. He prepared a special table with chairs placed in a row to be occupied by his three cousins. 1. List all possible sitting arrangements. 2. In how many ways can they be seated in a row? 3. Show another way of finding the answer in item 1.

5. Damon Josiah Azrael Josiah Azrael Damon Damon Azrael Josiah Damon Azrael Josiah Azrael 1 Azrael 2 Damon 3 Damon 4 Josiah 5 Josiah 6 There are 6 possible ways they can be seated in a row Systematic Listing

6. TREE DIAGRAM A s imple way of illustrating sequence of events. Azrael Josiah Damon Josiah Damon Damon Josiah Azrael Damon Damon Azrael Josiah Azrael Azrael Josiah = Azrael, Josiah, Damon 1 = Damon, Azrael, Josiah 6 = Damon, Josiah, Azrael 5 = Azrael, Damon, Josiah 2 = Josiah, Azrael, Damon 3 = Josiah, Damon, Azrael 4

7. FUNDAMENTAL COUNTING PRINCIPLE It states that if there are m ways to do one thing, n ways to do another and o ways to de another, then there are m x n x o of doing those things. m n o 3 2 1 Josiah Damon Azrael Azrael Damon Azrael 6 possible ways

8. PERMUTATIONS Permutation is an arrangement of all or part of the objects with proper regard to order. taken r at a time taken all at a time.

9. Suppose you secure your bike by using a combination lock. Later, you realized that you forgot the 4-digit code. You only remembered that the code contains the digits 2, 3, 4, and 7. List all the possible codes out of the given digits. Determine the number of permutations made. 2, 3, 4, 7 2, 3, 7, 4 2, 7, 3, 4 2, 7, 4, 3 2, 4, 7, 3 2, 4, 3, 7 3, 2, 4, 7 3, 2, 7, 4 3, 7, 4, 2 3, 7, 2, 4 3 , 4, 7, 2 3 , 4, 2, 7 4, 3, 2, 7 4, 3, 7, 2 4, 7, 3, 2 4, 7, 2, 3 4, 2, 3, 7 4, 2, 7, 3 7, 3, 2, 4 7, 3, 4, 2 7, 2, 4, 3 7 , 2, 3, 4 7, 4, 3 , 2 7 , 4, 2, 3 24 possible codes

10. Suppose you secure your bike by using a combination lock. Later, you realized that you forgot the 4-digit code. You only remembered that the code contains the digits 2, 3, 4, and 7. List all the possible codes out of the given digits. Determine the number of permutations made. Given: n = 4 Formula:

11. In how many ways can you place 9 different books on a shelf of there is space enough for only five books? Given: n = 9 different books r = space on the shelf is only for 5 books Fundamental Counting Principle 9 8 7 6 5 = 15, 120

12. In how many ways can you place 9 different books on a shelf of there is space enough for only five books? Given: n = 9 different books r = space on the shelf is only for 5 books Formula:

13. SOLVE ME!

14. Solve Me! Suppose you secured your laptop using a password. Later, you realized that you forgot the 5-digit code. You only remembered that the code contains the digits 1, 4, 3, j and B. How many possible codes are there? Given: Formula: n = 5 Solution: 120 possible codes

15. Solve Me! Suppose that in a certain association, there are 12 elected members of the Board of Directors. In how many ways can a president, a vice president, a secretary, and a treasurer be selected from the board? Given: Formula: n = 12 Solution: r = 4

16. Solve Me! A dress shop owner has 8 new dresses that she wants to display in the window. If the window has 5 mannequins, in how many ways can she dress them up? Given: Formula: n = 8 Solution: r = 5

17. FACT NA FACT AND BLUFF NA BLUFF Activity

18. Determining the top 3 winners in the mathematics quiz bee.

19. Choosing five groupmates for mathematics subject B LUFF

20. Three people posing a picture

21. Assigning 4 practice teachers in different grade level

22. Picking 2 questions from the bowl B LUFF

23. Picking a team of 3 from a group of 10 B LUFF

24. Arranging 4 persons in 5 chairs

25. Select 11 players from 15 players team for the World Cup Final 2022. B LUFF

26. Arranging books on a shelf

27. Quizizz

28. THANK YOU FOR LISTENING!