Wednesday, April 30, 2008

Tuesday, April 29, 2008

Pascal's Triangle

Hey ya'll, today mr Max learned us some pascal's triangle. He showed us that you can use the horizonal lines of numbers in pascals triangle as the coefficients when you expand expressions using the binomial theorem. Below there is a nicely drawn chart of how this is used:


Here are some key points dealing with the usage of Pascals triangle:

Here is an example of how it is used:


Here is the homework for tonight: love the random big blue hat......cindy.



Monday, April 28, 2008

April 28th

Its Monday!
We started today with a homewrok check on exercises 29 through 30.
Then we did some notes and examples on the binomial theorem.
This is our assingment.

Another reminder: 39 accelerated math objectives due May 2nd!

April 24th

Howdy,

Sorry classmates... I had no idea that I was supposed to scribe on thursday but it won't happen again!

Thursday was a test day, due to postponement. Hope everyone did well on the test and got the bonus question right.

Reminder!! Accelerated Math Objectives up to 39 are due on MAY 2ND

Thursday, April 24, 2008

April 23 Screen Shots

Sorry, Icky et al...I didn't export the files to the coursework drive as I normally do....here they are below:

































Wednesday, April 23, 2008

C&P Test Tomorrow

Today's class was spent going over perm&comb questions before tommorrow's big test. (I can't figure out how to post the images from pdf onto Blogspot so if you want to see what Maksymchuk did just go to My Computer>Rsfiles on 'Svrss 2' (J:)>Coursework>Math>2nd Semester Pre-Calculus Grade 12 and then scroll down to find pc40april2308moreperms&combs.)
For more practice, feel free to do the math40s.com Permutations and Combinations exam (with solutions here).
Sincerely,
IB
Hey everyone, sorry this post is a little late, i couldn't get on yesterday or this morning. Class yesterday began with a little bit of discussion and then Mr.Max got into what will be on the test and what is missing from the pretest. Also, we are now assigned 46 accelerated math objectives for next friday so keep working on that and study hard for the tst tomorrow.
These are the things that will be on the test.

Monday, April 21, 2008

More Permutations and Combinations

Today we went over more permutations and combinations examples which was excellent. Pictured below are examples that explain clearly the difference between perms and coms. Of course, the most important thing to remember is that order matters in permutations so there are no 'doubles', while in combinations order doesn't matter. Thus, we "divide out the doubles", to speak Mr. Max's talk.

These slides show some "tricks" that are very useful for the questions in the exercises. The first is when there are identical objects. The idea is that you find all the options, then divide out wherever there are repeats, like in the word AARDVARK, where there is a repeat of 3 and a repeat of 2.
http://www.cbc.ca/parents/showPics/arthur.jpg
This trick is in regard to circular permutations. The reasoning is that a circle has no beginning or end, which changes the rule. Also note the special rule for 3-D circles.

The third trick is in reference to when objects, usually people, must be or cannot be beside each other. For example, how can we seat the 4 Grade 12 precalculus girls if Anna must be beside Bethany and must not be beside Amy? Or, how many ways can we seat those same girls so that they won't disrupt the whole class?



Anyways, the big news in class today is that the test is going to be moved to Thursday, April 24. This will give us another day to work on the exercises as well as the pretest.


Sometime this week we should also be recieving hard copies of some old exams. These will be great study material and should answer a lot of the questions we have about the exam.

Just a note, I was watching the hockey game (which Montreal won, by the way),and I heard Ron McLean use the word permutation. And I understood what he meant! So that was a bit of a eureka moment and an application of math in real life.

Friday, April 18, 2008

Its Friday!!!


Hey there folks! Today we had half a class as a few of our mates are off kicking some butts in rugby.

http://www.arielbravy.com/photoblog/images/20060924185206_rugby.jpg

Good Luck Girls!!



Everyone that came to class had a chance to finish there 30 accelerated math objectives. Mr. Max taught pretty much all that needed to be taught throughtout this week so there was not anything new today. This made it a work period and gave us a chance to work on our exercises 29 - 33.

Remember to have them done before wednesdays test because there will be a randomized homework check!


Hope everyone has a great weekend and until next time, keep fit and have fun.

Thursday, April 17, 2008

So class started with Max showing off his new technology's tricks:




Whatever floats your boat i guess hey Max? ....



This just shows the formulas for getting rid of the doubles.

Those are examples of the F.C.P.

Those are different ways of writing "p not".. or the probability of an event not happening.

Another F.C.P.

This is the additive principle. Basically it's just using the F.C.P. but breaking it up into all the different kinds of possibilities that you can get then adding them together to get the total answer.





Examples of the additive principle..



And finally.. homework(to be checked sometime next week before the test).


If anyone has some spare time on their hands click here now...

http://www.imageyenation.com/?itemid=1950













Wednesday, April 16, 2008

Work Day

Today in class we got to try and catch up on accelerated math as well as try and get as many extra points on the log test we got back today. I don't know about the rest of the class but for me this was a huge relief though Anna's idea to go for ice cream in class also would have been a good idea. I would also like to remind everyone that thirty objectives are due for Friday. Good luck everyone.

http://www.kidshealth.org/

Tuesday, April 15, 2008

Happy Darlene Day!










Class started with a homework check, then since it was a short block we got straight to business.









Today Max taught perms and combs( not the ones having to do with hair).




Above is just the "basics" of what were sposed to already know, on the top half of the page, and on the bottom is the definiton of the Fundamental Counting Principle.



This very sad bear is an example of combinations, How many outfits does the bear have?..Answer is 6.. not five.. you multiply the # of shirts by the # of pants.


This explains factorial notation.. the example he said was that 5! does not mean 5(said really loudly) but instead means 5x4x3x2x1 or 120.


Those are differences between permutations and combinations. One of the main points there is to remember that with permutations ORDER DOES MATTER, and with combinations ORDER DOESN'T MATTER.



And, of course, class ended with homework.

If it relieves anyone's stress note that he is NOT checkin tomorrow.

And finally i'd like you to meet a friend of mine..





Peace out

Monday, April 14, 2008

Happy Birthday Lucas!

Natural Logarithms, exponential growth and decay, and compound interest!

hey guys im the scribe today, here are the notes for todays class, we learned a little bit more on natural logs, then we moved into exponential growth and decay and the last thing we learned about today was compound interest. The notes are pretty much self explanitory and the important formulas that we need to know are in the square boxes....hope these are useful for you guys, and the homework assignment is exercise #27 1-8, 10-13, 15-18. Good Luck!... and get'er done because mr.max will be checkin tomorrow!...which may not be as scary as this easter bunny...........*************************************************************************************






































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