1 / 47

PRE-ALGEBRA & MathLine

Pre-Algebra. PRE-ALGEBRA & MathLine. Pre-Algebra. Pre-algebra is intimidating! Equality Principle Balancing an Equation Definition of a Variable, etc. Pre-Algebra. MathLine makes Algebraic concepts EASY TO UNDERSTAND!. Pre-Algebra. MathLine makes Algebraic concepts

mikaia
Download Presentation

PRE-ALGEBRA & MathLine

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Pre-Algebra PRE-ALGEBRA & MathLine

  2. Pre-Algebra • Pre-algebra is intimidating! • Equality Principle • Balancing an Equation • Definition of a Variable, etc.

  3. Pre-Algebra MathLine makes Algebraic concepts EASY TO UNDERSTAND!

  4. Pre-Algebra MathLine makes Algebraic concepts EASY TO UNDERSTAND! By introducing abstract ideas with simple language

  5. Pre-Algebra Take for example X + 4 = 9

  6. Pre-Algebra Students can solve by the “add up” approach

  7. Pre-Algebra For X + 4 = 9, we know we are adding 4, so put 4 on MathLine

  8. Pre-Algebra Then add up till we get to sum

  9. Pre-Algebra 1

  10. Pre-Algebra 2

  11. Pre-Algebra 3

  12. Pre-Algebra 4

  13. Pre-Algebra 5

  14. Pre-Algebra So we add 5 to the 4 and get… 9

  15. Pre-Algebra If X + 4 = 9 Then X = 5 4 5

  16. Pre-Algebra The “add up” approach is correct, but ideally we want students solving for X.

  17. Pre-Algebra So ask the student, what do we know in this sentence: X + 4 = ? 9 We know our sum is9 So put 9 on MathLine

  18. Pre-Algebra Next ask, “If we added 4 to get 9, can we subtract 4 from 9?”

  19. Pre-Algebra So if we added 4 to get 9 Can we subtract 4?

  20. Pre-Algebra So subtract 4 from 9 …

  21. Pre-Algebra To get X by itself X = 5

  22. Pre-Algebra On paper the Algebra looks like this…

  23. Pre-Algebra To get X by itself subtract 4 from both sides of the equation. X + 4 = 9 – 4 –4 This is exercising the Equality Principle

  24. Pre-Algebra What is done to one side of the equation… must be done to the other side to keep it equal.

  25. Pre-Algebra 4’s cancel out X + 4 = 9 – 4 –4

  26. Pre-Algebra 4’s cancel out and 9 – 4 equals 5 X = 9 –4

  27. Pre-Algebra 4’s cancel out and 9 – 4 equals 5 X = 5

  28. Pre-Algebra Another example 2X + 5 = 17

  29. Pre-Algebra So ask the student, what do we know in this sentence: 2X + 5 = ? 17 So put 17 on MathLine We know our sum is17

  30. Pre-Algebra Next ask, “If we added 5 to get 17, can we subtract 5 from 17?”

  31. Pre-Algebra So if we added 5 to get 17 Can we subtract 5?

  32. Pre-Algebra So subtract 5 from 17…

  33. Pre-Algebra To get 2X by itself 2X = 17 - 5

  34. Pre-Algebra We now know… 2X = 12

  35. Pre-Algebra For 2 X = 12 Ask – What number times 2 equals 12?

  36. Pre-Algebra There are two ways of finding X for 2X = 12 On MathLine

  37. Pre-Algebra Divide by 12 by two’s.. 2 1 6 5 4 3

  38. Pre-Algebra Or divide 12 into two GROUPS… 6 6

  39. Pre-Algebra Either way X = 6 6 6

  40. Pre-Algebra On paper the Algebra looks like this…

  41. Pre-Algebra To get X by itself subtract 5 from both sides of the equation. 2X + 5 = 17 – 5 –5 This is exercising the Equality Principle

  42. Pre-Algebra What is done to one side of the equation… must be done to the other side to keep it equal.

  43. Pre-Algebra 5’s cancel out 2X + 5 = 17 – 5 –5

  44. Pre-Algebra 5’s cancel out and 17 – 5 equals 12 2X = 17 –5

  45. Pre-Algebra 5’s cancel out and 17 – 5 equals 12 2X = 12

  46. Pre-Algebra 2X = 12 So divide by 2 on each side 2 X12 2 2 = Or 2 X ÷ 2 = 12÷ 2

  47. Pre-Algebra So, X = 12÷ 2 Or X = 6

More Related