Lesson Plan: Student Work

by Pat Brewster, June, 2002

Student Work.  (See also Jeopardy Questions and Answers packet and worksheet called Jeopardy Score Sheet.)

 Name:__________________________________________                                                                     Date: ___________________
 

I.  First, review these Divisibility Rules.  Give the rules for determining when a number is divisible by the numbers in the left column.   Give examples.
 

II.   Find the Greatest Common Factor:
 

1.  12 and 20

2.  25 and 75

3.  42 and 48

4.  400 and 600

5.  39 and 52

6.  90 and 135

III.  Reduce:
 

1.  12 / 20

2.  25 / 75

3.  42 / 48

4.  400 / 600

5.  39 / 52

6.  90 / 135

IV.  Factor, using the Distributive Property:
 

1.  12x2 – 30 x

2.  40x3 –  4x2

3.  6xy + 12x2 y2

V.  Factor these trinomials: (Problems 1-5)
 

1. x2 + 7 x + 12	2.  12x2 – 7 x -12	3.  Common Factor     6x2 – 46 x + 28
4.  Perfect Square       16x2 – 40 x + 25	5. variable is a binomial    3(x-8)2 - (x-8 ) - 14	6.  factor by Grouping   ax + 2a + bx + 2b

VI.  Use factoring to Reduce:
 

1.     4 x2 / (6 x2  - 8x)

2. (2x2 – 18) / (2x2  + 2 x -24)

3.  (4x2 – 12x +9) / (2x2  + 11 x -21)

VII.  Use factoring to Solve Equations:  Remember:

Simplify, arranging all terms on one side, in descending order.
Factor out common factors.
Set one side equal to zero
Factor
Set each factor equal to zero, making small equations.
Solve the small equations, to find the possible values of the variable.
Check.