Scribe for November 3rd & 4th

Hey guys Hauke here :P
Sorry for the late posting well at least I've got both lessonreviews for you right now :


Wednesday Oct. 3rd

We basicly had one big headline this day because it was a late start and just 60 minutes each lesson .
Wecovered SOLVING BY FACTORING.
We worked on the first few examples together with Mr P to make sure everybody gets the system.
Then he gave us the Solving Quadratic Equations by Factoring  Worksheet which we worked on until the end of the class:


Examples:

Finding the zeroes :

f(x) = x² - 5x - 6
                                     factoring !
(x - 6)   (x + 1)
                                    make both equations equal to zero !

(x - 6) = 0   &  (x - 1) = 0

                                     find the value of x !

x = 6   or x = -1

here another example for a coefficent greater then 1 :

3x² - x = 24
                                             bring the 24 over and change the sign !

3x² - x - 24

                                             factoring !

(3x + 8)  (x - 3)

                                             make them equal to zero !

(3x + 8) = 0   (x - 3) = 0

                                             find the value for x !

3x = -8     or   x = 3 

x = -8/3

Thursday Oct. 4th :

The lesson today was quiet funny cause of the energy problem when the light suddenly turned off well just because Mr P tried to use the just cleaned white board HAHA :P . Well but the problem didnt stop us from working on algebra . At the Beginning we had a Mental Math Quizz good results for everyone !

Hint for Mental Math: Mr P used the same tasks twice so have a look in old mental math :) and you will know how to solve them next time.

Then we moved up to " Solving by Completing the Square " it was not that new for us because we did that before in the unit of quadratic functions.


Examples:

4x² - 5 = 0

                             move the 5 over
4x² = 5
                             devide both sides by 4
x² = 5/4                
                              take the square root of both sides
x = Square root of 5/4


example with coefficent greater then 1:

2x² - 4x +1 = 0

                                          bring the 1 over to the other side and change the sign

2x² - 4x = -1

                                          take the 2 out

2(x² - 2x) = -1 

                                          take out the -2 and devide it by to and square it
(-2/2) ²
-> 2(x -1) ² = -1 +2
                                          bring the result to both sides 
2(x - 1) ² = 1
                                          devide both sides by two

(x - 1) ² = 1 / 2

                                          take the square root of both sides
x - 1 = Square root of 1 / 2 
                                          take the -1 over and change the sign

Final answer x = 1 + or 1 - Square Root of 1 / 2


Here is an URL where you can rewrite some stuff about algebra and I added some algebra wallpapers :)

-->         http://www.algebra.com/         <--

So I'm done see you tmrw Hauke :P