Investigation 1Problem 1.3

Playing the Product Game

Finding Multiples of Numbers

Playing the Product Game

Problem 1.3 Finding Muliptles of Numbers

I can find multiples and describe the relationship between factors and multiples.

The Product Game

A. Play the Product Game several times with a partner. Look for strategies that might help you win.

Record your notes.

The Product Game

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.

The Product Game

Yes. You can see this by checking each number in the grid.

The Product Game

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

The Product Game

No. Every possible products appears in the grid. You can see this by listing every possible product and checking to see that they are on the game board or by checking the multiples of each number in the factor list.

The Product Game

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

The Product Game

You can get 12 as the product of 2 and 6 or 3 and 4.

The Product Game

E1. Suppose the game is in progress and one of the paper clips is on 5. What products can you make by moving the other paper clip?

The Product Game

Possible Products:5x1=5 5x2=10 5x3=15 5x4=205x5=25 5x6 =30 5x7=35 5x8=405x9=45

The Product Game

E2. List five multiples of 5 that are not on the list.

The Product Game

Possible multiples of 5 that are NOT on the list:

50, 55, 60, 65, 70, 75, 80, 85, 90, 95100, 200, 300, 400, 500, 600, 7001000, 2000, 3000, 4000, 5000