Musical Chairs

1
Musical Chairs

• No more than 2 people at one table who have been
  at the same table before.
• I suggest that one person remain at the table you
  have been at for the past few weeks and the rest
  move, making sure that there is no more than one
  person at your new table with whom you have
  previously shared a table.

2
Finding factors of a number

• Use the beans to find factors of 24
• Count out 24 beans
• We know that products can be illustrated using a
  rectangular model
• Make a rectangle using the beans
• What are the numbers you multiply to get 24?
• Can you arrange the beans into a different
  rectangle?
• What product does this represent?

3

• How many different rectangles can you make?
• Count out 11 beans.
• How many rectangles can you make with 11 beans?

4
The Sieve of Eratosthenes

• Prime Number
• Divisible only by 1 and itself
• Finding prime numbers using the sieve

5
Sieve of Eratosthenes
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Names for these numbers

• 11 is an example of a
• 24 is an example of a

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Factors of 24

• List
• How should they be ordered?
• How do you know you have them all?

8
Exploration 4.3

• Do 1 yourself, compare answer with the others in
  your group.
• Do 2 with the following numbers
• 60
• 72

9
Methods of factoring
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Factorization

• Factorization is writing a number as a product of
  factors.
• 24
• 60

12
Prime Factorization

• A factorization of the number in which all of the
  factors are prime numbers.
• 10
• 12

13
Prime Factorization

• 24
• 25

14
Prime Factorization

• 60 Using a factor tree to do prime factorization

15

• 112

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• Exploration 4.3 is due on Monday
• 1,2,6,7,8 along with some exercises from the
  textbook.
• Please put the exploration on a separate paper
  than the textbook problems. All of the textbook
  problems may be on the same paper.