Investigation #1 (cont.)

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Presentation transcript:

Investigation #1 (cont.) Products and Multiples

1.3 The Product Game Multiple - the product of a given whole number and another whole number For example - the first four multiples of 3 are 1 x 3 = 3 2 x 3 = 6 3 x 3 = 9 4 x 3 = 12 A product is the answer to a multiplication problem A product is also divisible by factors

Product Game Rules Player A puts a paper clip on a number in the factor list. Player A does not mark a square on the product grid because only one factor has been marked. It takes two factors to make a product. 2. Player B puts the other paper clip on any number in the factor list (including the same number marked by Player A). Player B then shades or covers the product of the two factors on the product grid. 3. Player A moves either paper clip to another number, leaving one in its original place, and then shades or covers the new product. 4. Each player, in turn, moves a paper clip and marks a product. If a product is already marked, the player does not get a mark for that turn. The winner is the first player to mark four squares in a row—up and down, across, or diagonally.

Product Game A. Play the Product Game several times with a partner. Look for interesting patterns and strategies that might help you win. Make notes on your observations. 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 54 56 63 64 72 81 Factors: 1 2 3 4 5 6 7 8 9 http://connectedmath.msu.edu/CD/Grade6/index.html

1.3 Finding Multiples Examine the Product Game Board. Is it possible to get every number on the product grid by multiplying two of the numbers in the factor list? Justify your answer.

1.3 Finding Multiples 2. Can you find two numbers in the list of factors for the game whose product is not on the product grid?

1.3 Finding Multiples 3. Suppose that a game is in progress and you want to cover the number 12 on the grid. Describe one way this can happen. Can you get 12 in more than one way?

1.3 Finding Multiples 4. Suppose that a game is in progress and one of the paper clips is on five. What products can you make by moving the other paper clip? List five multiples of 5 that are not on the game board.

1.3 Finding Multiples Examine the Product Game Board. Is it possible to get every number on the product grid by multiplying two of the numbers in the factor list? Justify your answer. 2. Can you find two numbers in the list of factors for the game whose product is not on the product grid? 3. Suppose that a game is in progress and you want to cover the number 12 on the grid. Describe one way this can happen. Can you get 12 in more than one way? 4. Suppose that a game is in progress and one of the paper clips is on 5. What products can you make by moving the other paper clip? List five multiples of 5 that are not on the game board.

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