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  • 1. Steve, Michael, John, Lesley are standing in line to buy tickets for a movie. In how manyways can they stand in line to buy their tickets?UNDERSTANDING THE PROBLEM - How many people are standing in line? (four) - How many ways can they stand in line to buy their ticket? ( did not know)PLANNING A SOLUTION Ticket’s counter S M J L - Draw a diagram that shows all of them standing in line to buy a ticket. - We can look for the arrangement of them when we draw the diagram.FINDING THE ANSWERDraw the diagram Method 1 S M L J Method 2 S M J L
  • 2. Method 3S J M L Method 4S J L M Method 5S L J M Method 6S L M J Method 7M S L J Method 8M S J L
  • 3. Method 9M L S J Method 10M L J S Method 11M J L S Method 12M J S L Method 13L J M S Method 14L J S M Method 15L M J S
  • 4. Method 16L M S J Method 17L S M J Method 18L S J M Method 19 J S M L Method 20 J S L M Method 21 J M S L Method 22 J M L S
  • 5. Method 23 J L M S Method 24 J L S MLOOKING BACKWARDWhen I want to check even the answer is correct or wrong, I used the permutationformula to solve this question. Therefore,4 P4= 24The answer is same even we use the Polya’s model that practice ours to find theanswer step by step.
  • 6. Steve, Michael, John, Lesley are standing in line to buy tickets for a movie. In how manyways can they stand in line to buy their tickets?UNDERSTANDING THE PROBLEM - How many people are standing in line? (four) - How many ways can they stand in line to buy their ticket? ( did not know)PLANNING A SOLUTION - Make a table to look at the arrangement of them without any repetition. - First person must be at the same places for six times. It means that, the other three people will exchange themselves. - Make sure all of them get the chance to be a first person.FINDING THE ANSWER FIRST PERSON SECOND PERSON THIRD PERSON FORTH PERSON Steve Michael John Lesley Michael Lesley John John Michael Lesley John Lesley Michael Lesley John Michael Lesley Michael John Michael Steve John Lesley Steve Lesley John John Steve Lesley John Lesley Steve Lesley John Steve Lesley Steve John
  • 7. John Michael Steve Lesley Michael Lesley Steve Steve Michael Lesley Steve Lesley Michael Lesley Steve Michael Lesley Michael Steve Lesley John Steve Michael John Michael Steve Steve John Michael Steve Michael John Michael John Steve Michael Steve JohnSo that, there are 24 ways can they stand in line to buy the tickets.LOOKING BACKWARDWhen I want to check even the answer is correct or wrong, I used the permutationformula to solve this question. Therefore,4 P4= 24The answer is same even we use the Polya’s model that practice ours to find theanswer step by step.
  • 8. JUSTIFICATIONMake a table is easier than draw the diagram because mistake can be avoided. Peoplealways make the mistake, therefore if usetableto solve the question, probability answeris correct is more than useddiagram. Students also like a table because it is moreattraction than draw the diagram. Make a table is simple and when we use it, it is easyto make the analysis of the data. All the information will be showed clearly.PROBLEM EXTENSIONFatehana, Syahirah, and Ida are standing in line to pay their food at the café. In howmany ways can they stand in line to buy their tickets?UNDERSTANDING THE PROBLEMS - How many people are standing in line? (three) - How many ways can they stand in line to buy their ticket? ( did not know)PLANNING A SOLUTION - Make a table to look at the arrangement of them without any repetition. - First person must be at the same places for six times. It means that, the other three people will exchange themselves. - Make sure all of them get the chance to be a first person.FINDING THE ANSWER FIRST PERSON SECOND PERSON THIRD PERSONSo that, there are 6 ways can they stand in line to buy the tickets.
  • 9. LOOKING BACKWARDWhen I want to check even the answer is correct or wrong, I used the permutationformula to solve this question. Therefore,3 P3 = 6The answer is same even we use the Polya’s model that practice ours to find theanswer step by step.