I. Prime Time

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I. Prime Time

• Factors and Multiples

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Problem 1.1 (p. 6)Playing the Factor Game

• The Factor Game is a two-person game in which
  players find factors of numbers on a game board.

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Problem 1.1 - Factor Game Rules

• Player A chooses a number on the game board and
  circles it.
• Using a different color, Player B circles all the
  proper factors of Player As number.
• Player B circles a new number, and Player A
  circles all the factors of the number that are
  not already circles.
• The players take turns choosing numbers and
  circling factors.
• If a player circles a number that has no factors
  left that have not been circled, that player
  loses a turn and does not get the points for the
  number circled.
• The game ends when there are no numbers remaining
  with uncircled factors.
• Score Each player adds the numbers that are
  circled with his or her color. The player with
  the greater total is the winner.

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Problem 1.1 Lets Play Online!

• Spring Lake Heights Web Sight
• Class Web Sites
• Mrs. Schonbergs Page
• 6th Grade
• Prime Time
• Technology Links
• The Factor Game

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1.1 Homework

• Teach someone to play The Factor Game and play 2
  rounds.
• Have them sign your Labsheet 1.1.
• OR
• Optional Go online at home and play The Factor
  Game against the computer or against someone
  else! Have them write a note saying they played
  with you and record your scores.

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Vocabulary 1.1

• Factor
• One of two or more whole numbers that are
  multiplied to get a product.
• i.e. 3 and 4 are factors of 12, because
  3 x 4 12
• Proper Factor
• All the factors of a number, except the number
  itself.
• i.e. the proper factors of 16 are 1, 2, 4, 8

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Problem 1.1 and Follow-Up

• In your journal, write at least 3 winning
  strategies and 3 moves that were not good.
• Think-Pair-Share
• Talk with your partner about the games you
  played, and take notes on your discussion.
• Be prepared to tell the class about a good idea
  you discovered for playing the game well.

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Problem 1.2 (p. 10)Playing to Win the Factor
Game

• Make a table of all the possible first moves.

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1.2 Homework

• ACE (p. 12)
• 1-9, 14-17
• Write complete sentences for 1, 14, 15

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Problem 1.2 (p. 10)Playing to Win the Factor
Game

• Complete your table of all the possible first
  moves.
• We will check them as a class when the majority
  of the class is ready.

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Problem 1.2 (p. 10)

• Use your list to figure out the best and worst
  first moves.
• What is the best first move? Why?
• What is the worst first move? Why?
• Look for patterns in your list. Describe an
  interesting pattern that you find.

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Problem 1.2 Follow-Up (p. 10)

• List all the first moves that allow your opponent
  to score only one point. These kinds of numbers
  have a special name. They are called prime
  numbers.
• Are all prime numbers good first moves? (As
  number is a good first move if the player picking
  the number scores more points than his or her
  opponent.) Explain your answer.

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Problem 1.2 Follow-Up (p.10)

• List all the first moves that allow your opponent
  to score more than one point. These kinds of
  numbers also have a special name. They are
  called composite numbers.
• Are composite numbers good first moves? Explain
  your answer.
• Which first move would make you lose a turn?
  Why?

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Vocabulary 1.2

• Prime Number
• A whole number with only two factors, 1 and the
  number itself.
• i.e. primes are 11, 17, 53, 101
• Composite Number
• A whole number with factors other than itself and
  one.
• A whole number that is not prime
• i.e. composite numbers are 6, 12, 20, 1001

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Vocabulary 2.1

• Multiple
• The product of a given whole number and any other
  number
• Multiples go on into infinity
• i.e. There are a multiple of people who have
  lived in the world.
• Multiples of 3
• 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, and so
  on forever!

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Vocabulary 2.3

• Common Multiple
• A multiple that two or more numbers share.
• For example,
• Multiples of 5 are 5, 10, 15, 20, 25, and so on
• Multiples of 3 are 3, 6, 9, 12, 15, and so on
• One multiple they share is 15. There are more.
• Common Factor
• A factor that two or more numbers share.
• For example,
• Factors of 14 are 1, 2, 7, and 14
• Factors of 35 are 1, 5, 7, and 35
• The factor they share is 7

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Vocabulary 3.2

• Square Number The product of a number times
  itself.
• 25 is a square number because 5 x 5 25
• (Fill in the blanks
• 1, 4, 9, ___, 25, ___, 49, ___, 81, 100
• Even Number A multiple of 2
• 2, 4, 6, 8, etc.
• Odd Number A whole number that is not a
  multiple of 2
• 1, 3, 5, 7, etc.

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Do Now 4.1

• Jack plays on a basketball team every third day
  of each month. He baby-sits his younger brother
  every seventh day of the month. How many times
  during a 30 day month will Jack have a conflict
  between basketball and babysitting? Explain your
  reasoning.