Showing posts with label kalekalekale. Show all posts
Showing posts with label kalekalekale. Show all posts

Thursday, May 28, 2009

BOB

Hey there. This recent unit we did was conics. It was all about cones and stuff. I found this to be pretty simple, just like the stuff we did in grade 11 pre cal with parabolas.
there is a little diagram of how the shapes were formed.


Circle formula:\left(x - a \right)^2 + \left( y - b \right)^2=r^2.
Elipse formula:\frac{x^2}{a^2}+\frac{y^2}{b^2}=1
Parabola formula:(x-h)^{2}=4p(y-k)\, or horizontal parabola:(y-k)^{2}=4p(x-h)\,
Hyperbola formula:\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1

I hope everyone gets an A+! don't forget about DEV projects

Thursday, May 14, 2009

BoB oh BoB

Hello. This last unit was called combinatorics and I found it very interesting because there are so many different ways and different ways of thinking that we can solve problems with. This is the kind of math we could use in every day situations. First things first, definitions:

Combination: In combinatorial mathematics, a combination is an un-ordered collection of distinct elements, usually of a prescribed size and taken from a given set. \mathbf{C}(n,k) = \mathbf{C}_k^n= {_nC_k} = {n \choose k} = \frac{n!}{k!(n-k)!}.
Permutation:In combinatorics, a permutation is usually understood to be a sequence containing each element from a finite set once, and only once
 P(n, r) = \frac{n!}{(n-r)!}.
(Wikipedia definitions)

It is very crucial to understand these terms.

For me, everything in this unit went swimmingly well until we learned about this:
(x + y)^2 = x^2 + 2xy + y^2\,
(x + y)^3 = x^3 + 3x^2y + 3xy^2 + y^3\,
(x + y)^4 = x^4 + 4x^3y + 6x^2y^2 + 4xy^3 + y^4\,
(x + y)^5 = x^5 + 5x^4y + 10x^3y^2 + 10x^2y^3 +5xy^4 + y^5.\,

(x+y)^n=\sum_{k=0}^n{n \choose k}x^{n-k}y^{k}\quad\quad\quad(1)

oh boy... But I realized after we did some questions, and with further exploring this, everything went a whole lot better...

File:Pascal's triangle 5.svg
That is pascals triangle. Don't forget some nifty tricks in the triangle, like 2^x rule and how it corresponds with the row number, and the 11^x, and also the good old hockey stick pattern.

To view all possible poker hand probabilities, go to this link!

I didn't find much trouble with the poker hands because I'm a big fan of the game.

Well this sums up my bob post, the next bob is bob by the way!

Thursday, April 30, 2009

BoB Exponents and Logarithms

Bonjour! It's kalekalekale here just gonna do a quick BoB and get to studying after a long day of work. This unit was very informative and fairly straight forward. I found myself lost in this last week because of the fact that I missed class on monday. Thanks to you wonderful bloggers, I'm back on track. Well, we have a test tomorrow and I hope everyone studies.

Don't Forget:
LOGARITHMS ARE EXPONENTS

Saturday, April 25, 2009

Hahaha hello... sorry.. i guess i suck for being late but here's the basic timeline for Kale and I's project!

May 1 to 7- Create and add pizazz to question 1 and with luck create question 2.

May 8to 14- Finalize question 2 and add some more pizazz to it and (once again with luck) Create and hopefully even start to jazz up question 3!

May 15 to 21- Finish up question 3, Create 4 and hopefully start the 'zazzage!

May 22 to 28- Finish up question 4 and Create 5! (Possibly make it awesome as well?)

May 29 to June 6- Finalize question 5... add final pieces of zazz to entire project... With luck throw a 6th question on there for some mathematical icing on our developed expert cake! ( Idc how lame it is... haha)

June 7- FINAL DUE DATE ( yeah it's the last possible day, so sue me...us... whatever)

Monday, April 20, 2009

Scribe 420

Hey ladies and gentlemen. This is kalekalekale here doing his scribe post. We started off class by discussing our DEV projects. Mr. K gave us some links that may be helpful. One of them was blip. This site would alow us to post and view videos on the net.

After that section of our class, we got into logarithims. Here is the solution to one question on
the slides.

I used the product and quotient laws to expand it and substitute the logs with the numbers. *If I made an error let me know a.s.a.p. ;)

Following those questions and some others, we were introduced to a new law, the CHANGE OF BASE LAW!

eq=log_ab=\frac{log_cb}{log_ca}

Remember this, and also remember that logarithms are exponents!

This is all I have time for tonight, our class was very simple and well planned. Good transitions Mr. K!

Everyone keep DEV in the back of their minds and keep in touch with your delicious accounts!

Next scribe will be stephen!

Goodnight everyone!

Wednesday, April 8, 2009

BOB

Hey y'all, it's your boy Kale here just gonna bob about out latest and dandiest unit yet, Identities. No, not the Bourne Identity, the math identity. This unit was about proving if one side was equal to another. I found this to be quite interesting because there are a massive amount of ways to solve them, there are so much ways to solve them that there isn't even a number, it's infinity! This is gonna be a difficult test, so brace yourselves! Good luck people!

Monday, March 16, 2009

Kale's Bob

Hey there folks, it's your boy Kale here. Just gonna reflect on our most recent unit, Transformations. This unit was very good for me, because it's just a bunch of algebra and graphing, the good ole math that I love doing. We started off with reviewing some sine and cosine waves, and got into parameter A, B, C and D and how they shift and stretch our graph. We dug deep into the world of asymptotes and such. We concluded this grand unit with some real life problems, which definitely got me into math a lot more than I already am.

Good luck to all, and to all a good night!

Happy St. Patrick's day tomorrow, everyone wear green!

Wednesday, March 4, 2009

Wednesday March 4, 2009 Scribe

Hey there! It’s me, kalekalekale or kale for those of you who did not get it. Today we had the privilege of being taught by Mr. K first thing in the morning, oh wait; we pretty much do that everyday.


Our main focus today was inverse functions, but lets start with a little review on even and odd functions.

REMEMBER: IFF a graph is an even function, f(x) = f(-x), and IFF a graph is odd, f(-x) = -f(x)

I’ll show you guys how to determine if a graph is even or odd in 3 different ways; Equation, Numbers and a Graph

Example #1


Example #2


Example #3



Now onto inverse functions


An inverse function has swapped x and y values. In this case
red (1,2), (2,4), (3,5), (5,6)
blue (2,1), (4,2), (5,3), (6,5)



REMEMBER


Example:


There's an inverse function.

Here's a random graph of a function and its inverse:


That pretty much wraps up my post. 10 days 'til pi day and 9 days 'til pi approximation day.
Don't forget to look into your DEV projects kids!

http://www.youtube.com/watch?v=oHg5SJYRHA0
check out this snazzy link. (Not related to math by the way)

Good night to all and to all a good night.

next scribe is ale because it's like kale divided by k


Thursday, February 19, 2009

KOB, kalebob

Hey there fellow bloggers, it's your pal kale here wanting to openly reflect on out unit "Circular Functions."
Here's my opinion:
This unit was a breeze at first, everything was going swimmingly until that dreaded sin wave! Every hope I had built up came crashing down, but with that lil' practice quiz today I must say I am pretty confident in a semi-decent test mark :)

Some things to remember:
sin corresponds with Y values
cos corresponds with X values
tan values equal sin/cos or Y/X
A unit circle has a 2π circumference

Good luck to all, and to all a good night!