-Introduce using familiar language -Review & Reinforce -Compare & Contrast -Teach in different context Increased Student Achievement LINKING

Use Simple Straight Forward Examples – Do not get bogged down in arithmetic

I can’t teach ________, because my students don’t know ________.

Add / Subtract Rational Expressions

= = = 7 12

= 8 15

= = 29 30

= = 19 20

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

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)

Student Assessment

= 7 12

= 24 = 3 4 CD = 72

18 24 = = =

+ Polynomials

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

Addition - Left = = =

(5x + 3x + 2) + (3x + 4x + 1) 22 = (8x + 7x + 3) 2

Multiplication

x 3x + 6 x + 2 x x + 2x 2 x + 5x + 6

(x + 3) (x + 2) = x + 5x (x + 4) (x + 5) = x + 9x (x + 10) (x + 5) = x + 15x

(2x + 3) (3x + 5) 6x + 8x

10x +15 2x + 3 3x x + 9x 2 6x +19x +15

(2x + 3) (3x + 5) 2 6x + 19x + 15

F O I L

x x 7

Relations & Functions

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

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

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

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

.50 1, 2, 3, (1, ) (2, ) (3, ) (10, ? ) C = n x.50 =.50n or y = x 1212

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

Slope

50 (1,)1 00 (2, )1 50 (3, ) m = y - y 1 x - x 1

Equations of Lines

= m y - y 1 x - x 1 y - y 1 = m (x - x 1 )

Find the equation of a line passing through the point (2,3), with m = 4 y - 3 = 4 (x - 2) point - slope

y – 3 = 4x - 8 Solve for y: y = 4x - 5 y – 3 = 4 (x - 2)

y = mx + b y = 4x - 5 slope - intercept

4x – y = 5 general form

Using linkage, if you know slope, you can reconstruct the other equations.

-Introduce using familiar language -Review & Reinforce -Compare & Contrast -Teach in different context Increased Student Achievement LINKING

Linking Fractions Decimals Percents

Linking Pythagorean Theorem Distance Formula Equation of a Circle Trig Identity

Linking Special products in algebra Special products in arithmetic

Linking Quadratic Formula Completing the Square

Linking Solving Linear Equations Order of Operations

Why Linking? It’s not a matter of if students are going to forget information, it’s a matter of when. Linking concepts will allow students to reconstruct concepts and skills