Homework Issues

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10/19

• Homework Issues
• 4.2
• Exploration 4.3
• Exploration 4.1

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Homework Issues
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• How do we know if a product of natural numbers is
  even?

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4.2
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Prime Factorization Whats so great about prime
factorization?

• Recall we talked about the prime factorization of
  60
  
• 6022352235
• Knowing the prime factorization helps you find
  the different factors.

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Numbers with Personality

• Perfect number A number is perfect iff the sum
  of its proper divisors is equal to the number.
  
• Proper divisor A divisor that is less than the
  number.
  
• What is the first perfect number?
• A number n is an abundant number iff the sum of
  its proper divisors is greater than n. Ex
  
• A number n is a deficient number iff the sum of
  its proper divisors is less than n. Ex

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• Due Monday Assignment 9

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Exploration 4.2
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• Were going to try to find factors of numbers. We
  have some tools in our tool box
  
• Go in order 12 1,2,3,4,6,12
• Use prime factorization 122236
• Use manipulatives
• Any other ideas?

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Well only do the ones below.

• 1. Try on your own and then discuss with your
  group. Try getting familiar with at least two of
  the previous methods.
  
• 2. Choose a method and then try it with 80.
• 3. As a class, well discuss the different
  methods.
  

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• 6. Discuss with a partner how you could use the
  factors of 36 to find all the factors of 72
  without starting over.

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Homework Due Wednesday

• Write up
• 3. Choose a method other than the prime
  factorization method. Describe your method and
  explain how to use it.
  
• 7. Answer the question. Be sure to explain what
  you did.
  
• 8. Answer the question. Be sure to explain what
  you did.

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Exploration 4.1
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Rules

• The team crosses out a number.
• The taxman crosses out all the proper factors of
  that number.
  
• The team crosses out another number. A number can
  only be crossed out if one of its proper factors
  has not been crossed out.
  
• At the end of the game the taxman gets all the
  remaining numbers. Not going to do.
  
• To determine your score add up all the numbers
  your team crossed out.

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Against me!

• We wont use the rule of the taxman getting the
  rest for this part
  
• Factor Game

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• 1. What are some strategies?

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• 2. In groups play some games.
• Did your strategies work?

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Homework Due Wednesday

• What are your strategies for the game? What is
  the best first move for 1-30? The worst?