Algebra Tiles

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Algebra Tiles

  1. 1. Algebra Tiles<br />An Introduction<br />
  2. 2. Algebra Tiles<br /> <br />=<br />=<br />1<br /> <br />-1<br /> <br />=<br />=<br />x<br /> <br />-x<br /> <br />-x2<br /> <br />=<br />=<br />x2<br /> <br />
  3. 3. Try This<br />Represent 2x2+3x−5<br /> <br />
  4. 4. Try This<br />Represent −x2−4x+7<br /> <br />
  5. 5. Try This<br />This line represents an equals sign. Try placing your tiles on the sheet to represent x=5<br /> <br />
  6. 6. Try This<br />x−2=7<br /> <br />
  7. 7. Try This<br />What does x equal? How can you show this? What do you have to do to each side?<br />
  8. 8. Try This<br />The zero pairs cancel each other out leaving x=9. In order to keep our equation balanced we have to make sure to do the same thing to each side.<br />
  9. 9. Try This<br />When working with variables we want to “isolate the variable” getting it on one side of the equals sign and everything else on the other.<br />
  10. 10. Try This<br />Try modeling this, x+4=8<br /> <br />
  11. 11. Try This<br />Now try to isolate the variable. Remember, you want to get the x on one side of the equation and everything else on the other side. Also, remember, whatever you do to one side of the equation you must do to the other. <br />
  12. 12. Try This<br />Now try to isolate the variable. Remember, you want to get the x on one side of the equation and everything else on the other side. Also, remember, whatever you do to one side of the equation you must do to the other. <br />
  13. 13. Try This<br />We are now left with x=4<br />
  14. 14. Try This<br />2x=6<br /> <br />
  15. 15. Try This<br />Now arrange your tiles into equal groups<br />
  16. 16. Try This<br />Now arrange your tiles into equal groups.<br />X=3<br />
  17. 17. Try This<br />4x−6=10<br /> <br />
  18. 18. Try This<br />Now isolate the variable. Remember, whatever you do to one side of the equation you have to do to the other to keep it balanced.<br />
  19. 19. Try This<br />Now we need to put our tiles into equal groups to determine what x equals. <br />
  20. 20. Try This<br />
  21. 21. Try This<br />x=4<br /> <br />
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