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Prime Time 1.2: Playing to Win the Factor Game

Prime Time 1.2: Playing to Win the Factor Game. 1.2 Playing to Win the Factor Game Goals: – Classify numbers as prime or composite – Recognize that some

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Page 1: Prime Time 1.2: Playing to Win the Factor Game. 1.2 Playing to Win the Factor Game Goals: – Classify numbers as prime or composite – Recognize that some

Prime Time 1.2: Playing to Win the Factor Game

Page 2: Prime Time 1.2: Playing to Win the Factor Game. 1.2 Playing to Win the Factor Game Goals: – Classify numbers as prime or composite – Recognize that some

1.2 Playing to Win the Factor Game

• Goals:– Classify numbers as prime or composite– Recognize that some numbers are rich in factors,

while others have few factors– Review multiplication facts

Page 3: Prime Time 1.2: Playing to Win the Factor Game. 1.2 Playing to Win the Factor Game Goals: – Classify numbers as prime or composite – Recognize that some

1.2 Playing to Win the Factor Game

• Define:– Prime number– Composite number– Abundant number– Perfect number– Deficient number

Page 4: Prime Time 1.2: Playing to Win the Factor Game. 1.2 Playing to Win the Factor Game Goals: – Classify numbers as prime or composite – Recognize that some

1.2 Playing to Win the Factor Game

• Thinking about the best first move in the Factor Game makes me wonder what the results would be for each number if I chose it as my first move. What if I chose 1 or 2 or 3? How many points would I get? How many points would my opponent get?

Page 5: Prime Time 1.2: Playing to Win the Factor Game. 1.2 Playing to Win the Factor Game Goals: – Classify numbers as prime or composite – Recognize that some

1.2 Playing to Win the Factor Game

• Let’s find the results for every possible first move. Can you think of a way that we can organize our work so that we can see patterns and determine which moves are good and which moves are bad?

Page 6: Prime Time 1.2: Playing to Win the Factor Game. 1.2 Playing to Win the Factor Game Goals: – Classify numbers as prime or composite – Recognize that some

1.2 Playing to Win the Factor Game

• What strategy can you use to make sure you have found all the factors of a number without missing any?

Page 7: Prime Time 1.2: Playing to Win the Factor Game. 1.2 Playing to Win the Factor Game Goals: – Classify numbers as prime or composite – Recognize that some

1.2 Playing to Win the Factor Game

• Read page 9• Make a table of all possible first moves– List all the proper factors of the numbers

• What pattern do you see?• What is the best move? Why?• Which first move would you lose a turn?• What is the next worst move?

Page 8: Prime Time 1.2: Playing to Win the Factor Game. 1.2 Playing to Win the Factor Game Goals: – Classify numbers as prime or composite – Recognize that some

1.2 Playing to Win the Factor Game

• List all the first moves that allow your opponent to score only one point.

• These numbers are called prime numbers.• Are all the prime numbers good first moves?

Page 9: Prime Time 1.2: Playing to Win the Factor Game. 1.2 Playing to Win the Factor Game Goals: – Classify numbers as prime or composite – Recognize that some

1.2 Playing to Win the Factor Game

• List all the first moves that allow your opponent to score more than one point. These numbers are called composite numbers.

• Are composite numbers good first moves?

Page 10: Prime Time 1.2: Playing to Win the Factor Game. 1.2 Playing to Win the Factor Game Goals: – Classify numbers as prime or composite – Recognize that some
Page 11: Prime Time 1.2: Playing to Win the Factor Game. 1.2 Playing to Win the Factor Game Goals: – Classify numbers as prime or composite – Recognize that some
Page 12: Prime Time 1.2: Playing to Win the Factor Game. 1.2 Playing to Win the Factor Game Goals: – Classify numbers as prime or composite – Recognize that some
Page 13: Prime Time 1.2: Playing to Win the Factor Game. 1.2 Playing to Win the Factor Game Goals: – Classify numbers as prime or composite – Recognize that some
Page 14: Prime Time 1.2: Playing to Win the Factor Game. 1.2 Playing to Win the Factor Game Goals: – Classify numbers as prime or composite – Recognize that some