Transcript Prime Time Lesson 1.2: The Product 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 numbers are rich in factors,
while others have few factors
– Review multiplication facts
1.2 Playing to Win the Factor Game
• Define:
– Prime number
– Composite number
– Abundant number
– Perfect number
– Deficient number
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?
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?
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?
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
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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?
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?
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?