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

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

Add / Subtract Rational Expressions

1 + 3 2 2 6 3 6 + 5 6

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

1 + 3 5 = 8 15

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

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

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

2 + X 3 Y = XY 2 + X 3 Y = 2Y + 3X XY

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)

+ Polynomials

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

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

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) = + 8 9 6

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

Relations & Functions

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

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

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

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

.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

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

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