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What can I do to a Balanced Scale to Keep It Balanced?

What can I do to a Balanced Scale to Keep It Balanced?. Jim Rahn www.jamesrahn.com James.rahn@verizon.net. Zero Pairs. Picturing zero. Show zero with 4 tiles. Show zero with two different size tiles Show the value of 3 with 5 tiles Show the value of +x with 3 tiles.

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What can I do to a Balanced Scale to Keep It Balanced?

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  1. What can I do to a Balanced Scale to Keep It Balanced? Jim Rahn www.jamesrahn.com James.rahn@verizon.net

  2. Zero Pairs

  3. Picturing zero • Show zero with 4 tiles. • Show zero with two different size tiles • Show the value of 3 with 5 tiles • Show the value of +x with 3 tiles

  4. Keeping a Scale Balanced • The scale below is balanced. There are four yellow squares on each side.

  5. What would happen? • 1. What would happen if two red squares were added to the right side of the scale?

  6. What would happen? • 2. What would happen if one yellow square and one red square were added to the right side of the scale?

  7. What would happen? • 3. What would happen if one yellow square is removed from the left side and one yellow square is removed from the right side of the scale?

  8. What would happen? • 4. What would happen if two red squares are added to the right side of the scale and two yellow squares are added to the left side of the scale?

  9. What would happen? • 5. What would happen if the number of items on each side were multiplied by two?

  10. What would happen? • 6. What would happen if two red squares and two yellow squares are added to left side of the scale?

  11. What would happen? • 7. What would happen if one red square is added to the left and a yellow square is removed from the right?

  12. What would happen? • 8. What would happen if the number of items on each side is cut in half?

  13. What would happen? • 9. What would happen if two yellow squares are removed from the left and two yellow squares are added to the right side of the scale?

  14. What would happen? • 10. What would happen if two red squares are removed from the left and two red squares are removed from the right side of the scale?

  15. What would happen? • 11. What would happen if one zero pair is added to the left side and one zero pair is added to the right side of the scale?

  16. What would happen? • 12. What would happen if two yellow squares are added to the right side and two red squares are added to the left side of the scale?

  17. What would happen? • 13. What would happen if one red square is added to each side of the scale?

  18. What would happen? • 14. What would happen if you double the number of squares on the left and divide the number of squares on the right by two?

  19. What keeps a Scale Balanced • Actions that keep the scale balanced: • 1. Adding any number of zero pairs to either the left, right side or both sides. • 2. Subtracting or removing exactly the same thing from both sides at once. • 3. Adding exactly the same thing to both sides at once.

  20. What keeps a Scale Balanced • Actions that keep the scale balanced: • 4. Doubling both sides of the scale. • 5. Adding one color to one side and removing the opposite color from the other side. • 6. Dividing both sides by the same number.

  21. What causes a Scale to be off Balanced • Actions that make the scale tip: • 1. Adding something to one side without adding it to the other. • 2. Subtracting something from one side without subtracting it from the other. • 3. Adding one thing to one side and subtracting the same thing from the other.

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