1. I can’t teach __________ because my kids don’t know _____________

2. Show them how - Linkage Introduce new concepts using familiar language
Review and reinforce
Compare and contrast
Teach in a different context

3. Add / Subtract
Rational Expressions

4. 1 + 3 2 2 6 3 6 + 5 6

5. 1 + 3 2 = 5 6 1 + 4 5 = 9 20 1 + 3 4 = 7 12

6. 1 + 3 5 = 8 15

7. 2 + 3 1 5 = 13 15 3 + 10 2 = 29 30

8. 3 + 4 1 5 = 3 1 19 + = 4 5 20

9. A C + B D = BD A C
AD + BC + = B D BD

10. 2 + X 3 Y = XY 2 + X 3 Y =
2Y + 3X XY

11. 3 +
x-1 2
x+3 =
(x-1)(x+3) 3 +
x-1 2
x+3 =
(x-1)(x+3)
3(x+3) + 2(x-1)

12. Polynomials

13. =
6(100) + 7(10) + 2(1) 2
6 n n 2
6x x 2

14. 8 7 3 5 3 2 + 3 4 1 = (5 +3)(100) + (3 + 4)(10) +(2 + 1)(1) = (8)(100) + =
(5 +3)(100)
+ (3 + 4)(10)
+(2 + 1)(1) =
(8)(100)
+ (7)(10)
+ (3)(1) =
(800)
+ (70)
+ (3) =

15. Addition - Left to Right
412 + +
362
213 =
(4 +3+2)(100)
+ (1+6+1)(10)
+ (2+2+3)(1) =
(9)(100)
(8)(10) +
(7)(1) = +
(900)
(80) +
(7) = +
9 8 7
123
502 + +
271 =
(1 +5+2)(100)
+ (2+0+7)(10)
+ (3+2+1)(1) =
(8)(100)
(9)(10) +
(6)(1) = +
(800)
(90) +
(6) = +

16. (5x + 3x + 2) + (3x + 4x + 1) (5x + 3x ) + (3x + 4x) + (2 + 1) + =
(5x + 3x + 2) + (3x + 4x + 1) 2
(5x + 3x ) + (3x + 4x) + (2 + 1) 2
= 8x + 7x + 3 2

17. Relations & Functions

18. Functions
Special relation in which no 2 ordered pairs have the same 1st element.

19. Menu
Hamburger ……….4
Hotdog ……………3
Sandwich …………5 00

20. H, Hd, S, 4 00 3 5 4 00
H, Hd,( S), 3 5 4 00
(H, ) (Hd, ) (S, ) 3 5

21. Cold Drinks
.50 1, 2, 3, 1 00 50
.50
(1, )
(2, )
(3, )
(10, ? ) 1 00 50

22. .50 1, 2, 3, 1 00 50
.50
(1, )
(2, )
(3, )
(10, ? ) 1 00 50
C = n x .50
= .50n or
y = x 1 2

23. 50
(1, ) 1 00
(2, ) 1 50
(3, )
(4, ) 2 00 1 75
(4, )

24. Basic Facts & Procedures
Stopping to remember basic facts interrupts the flow of thought, which negatively impacts learning.