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Wednesday, September 21, 2005

Scribe's Scribbles

Hello People,
Well the time has come for me to be the scribe, and I'm not sure how good it will be so just bear with me.

Class started off with a couple of people coming in late because of pictures and having to quickly copy some Math Dictionary notes. These notes took a while and included:
First of all we quickly defined the General Form of a parabola (x^2+4x-7) and the roles of each parameter (a, b, and c).

a- tells the width and direction of the opening of the parabola.
b- creates an oblique translation (a translation of a line that is neither parallel nor perpindicular)
c- tells the coordinbates of the y-intercept (0,c) or y=c

This completed the definitions of the three main foms of a parabola (General, Standard, and Factored).

Converting Standard to General to Factored:

f(x)=2(x-2)^2 --> y=2x^2-8x+8 --> y=(2x-4)(x-2)

After this we put into our dictionaries a detailed explanation on completing the square. It was pretty much the same as before except in writing and examples which will probably help some people get ready for the test.

Next Mr. K told us we was going to show us a 'Magic' formula, even though he said he didn't like to show us 'magic'. So into our journals went this 'magic' formula, which I might add turned out to be a set of aggrevating algebra. A very long complicated formula that shows how to complete the square on the General Form. (It's very long and complicated so I won't write the whole thing out but here's how it ended:

y=a(x+b/2a)^2+(-b^2+4ac)/4a

Now, there's no way that we can remeber that formula when it comes to a test, but he did teach us a way of figuring out the vertex from General Form. This is how:

y=2x^2-8x+8 (general form)
to find vertex:
h=-b/2a
h=-(-8)/2(2)
h=8/4
h=2 ---> y=2x^2-8x+8
y=2(2)^2-8(2)+8
y=8-16+8
y=16

vertex: (2,16)

So then a couple of people left to get their pictures taken so Mr. K just did a brief 'synopsis' (summary) of the 'tools' in our 'tool boxes'; great analogy Mr. K. So these are the notes I took:

Standard Form
-says where the vertex is and the axis of symmetry
-tells the width and direction of opening
-does not tell the roots
-must balance equation to get roots

General Form
-width and direction of opening
-y-intercept
-algebra = vertex
-h=-b/2a
-factor for roots, or complete square.

Factored Form
-roots
-axis of symmetry
-vertex

Following the 'synopsis' we just figured out a couple of problems from the review. e.g. Standard Form expressions with an odd second term.

JUST REMEMBER: Sometimes DECIMALS are DELIGHTFUL, but Most of the Time FRACTIONS are FRIENDLY

In Other Words: BE EXACT and DONT ROUND to DECIMALS!


Finally Mr. K. taught us how to do those weird problems where one variable goes up and the other goes down.

All I can tell you there is:

state the problem in words, find your variable ( f(variable) ) then create you equation e.g. f(x)=(A + x)(B + x)

Well then the bell rang and class was over just like my post.




Next Scribe is...

...Kasia W.

sry Kasia.

4 Comments:

At 9/21/2005 7:04 PM, Blogger AichelleS. said...

wow that was insane lol it was sooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo...................................................................ooooooooooooooooooooooooooooooooooooooo good

 
At 9/21/2005 7:28 PM, Blogger Mr. Kuropatwa said...

Outstanding! The bar has been raised once again!

I can tell this class is going places. ;-)

 
At 9/21/2005 7:38 PM, Blogger Richy said...

OMG. Craig owns... And there's even a title this time. lol. Wow Craig. You gotta be kidding me. Man. He raised the bar... So I'll strike back later. Hahahaha. Excellent Work.

 
At 9/21/2005 7:52 PM, Blogger GraemeW said...

Wow Craig, awesome. But I think you switched the "i" and the "r" in the title.

 

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