1. PRE-ALGEBRA&MathLine Pre-Algebra

2. Pre-algebra is difficult because of the confusing language. Equality Principle Equality Principle Balancing an Equation Balancing an Equation Definition of a Variable, etc. Definition of a Variable, etc. Pre-Algebra

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

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

5. + 5 = 17 2x + 5 = 17 Let’s solve Pre-Algebra

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

7. We know we added 5 to 2x With 2x + 5 = 17 Pre-Algebra to get 17

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

9. If we added 5 to get 17 Can we subtract 5? Can we subtract 5? Pre-Algebra

10. So subtract 5 from 17… 12345

11. Pre-Algebra So subtract 5 from 17…

12. Pre-Algebra 2x = 12 2x = 12 So ask, “What number times 2 equals 12?”

13. Pre-Algebra There are two ways of finding X for 2x = 12

14. Pre-Algebra Divide by 12 by two’s..

15. Pre-Algebra Divide by 12 by two’s..

16. Pre-Algebra Divide by 12 by two’s..

17. Pre-Algebra Divide by 12 by two’s..

18. Pre-Algebra Divide by 12 by two’s..

19. Pre-Algebra Divide by 12 by two’s..

20. Pre-Algebra Divide 12 by two’s.. 123456

21. Pre-Algebra Or divide 12 into two GROUPS… 66

22. Pre-Algebra Either way x = 6 66

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

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

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

26. 2x + 5 = 17 Pre-Algebra – 5 –5 – 5 – 5 5’s cancel out

27. 2x = 17 - 5 Pre-Algebra and 17 – 5 equals 12

28. Pre-Algebra and 17 – 5 equals 12 2x = 12

29. Pre-Algebra 2 x ÷ 2 = 12 ÷ 2 2 x 12 2 2 2 2 = 2x = 12 So divide by 2 on each side Or

30. Pre-Algebra So, x = 12 ÷ 2 Or x = 6

31. Pre-Algebra Using MathLine to introduce Pre-Algebra is effective and simple.

32. Pre-Algebra MathLine makes Pre-Algebra Easy to visualize Easy to visualize And keeps the confusing language simple.