PARABOLAS

get it?...

Today Max went over parabolas. It's quite straight forward.. in the equation, if the "x" is squared it opens up or down.. up with a positive "a" value..

And down with a negative "a" value, just as the two shown below..

If, in the equation, the "y" is squared then the parabola opens to the left or to the right.. positive "a" value means it opens right.. negative "a" value opens left.

• The second half of the slide is showing the equation you use to figure out the vertex and axis of symmetry.

• Also it's not on the slide so I'm not sure if it's important but just for review.. when your graphing a parabola, if the "a" value is less than 1 it will be wider than a standard parabola(which has "a" = 1), and if the "a" value is greater than 1 the parabola will be narrower.

And remember, things will be lots easier in life if your mouth resembles this equation y=1/2*x^2.....like this guy's..

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

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

Change of Base

Well technically this was our last class before SPRING BREAK since tomorrow those of us who aren't cramming for accelerated math objectives will be cheering on cramer at team stuff day.

Anyways today he taught change of base theorem, which is needed when the base isn't 10. Below is the derivation of the formula you need( the thing in the box).

Then he showed us examples.. both with and without a calculator.


And then.. of course.. the dreaded HOMEWORK .

Also with regards to that last comment on dreaded homework.. i saw this on the news.. great idea if you ask me.. have a read...
http://www.oxfordlearning.com/letstalk/no-more-homework/
Yes this is extremely late.. partly because i had trouble logging into blogger.. AGAIN.. nevertheless.. my apologies.. also tecnically this isn't the last class before spring break and we do not have team stuff day tomorrow.. sorry for those of you who might have got their hopes up... Anna..

Work period..

Since Max was gone Thursday/Friday last week he made an assumption that alot of people needed a class to get caught up on Accelerated Math, which was a correct assumption I'm sure for pretty much everyone, so he gave us today as a work period, to help each other and get help from him if we needed it.





If you are all caught up he also assigned:

• Ex.12: #1-11, 13, 14, 17, 18



• Ex 13. #1-14

He warned that someday in the near future he will be doing homework checks so make sure and do the exercises!!

Also try and remember to phone prior to missing a test so he is aware of it, and for those of us who were just tryin to be loyal and cheer on our home team and fellow classmate at provincials and happened to miss class.. make sure and repay the truant on your own time.

One more thing.. since Objective 58 has questions with identities that we can't do yet, the number of objectives due on March 12 is now only 9.

All credit for the above cartoon goes to it's author Bill Amend. We're not tryin to steal it, just tryin to spread the humor.

Ahh.. Transformations..

Class was happily(not so much) started with mental math quiz #5.



For the rest of it Max taught us about TRANSFORMATIONS.

It looked something like this:









Reference functions (also called "parent functions") are, in my own words, the base.. what the function looks like before anything is done to it. If you graph the reference function, then ,in the same plane, graph a transformation to it, it helps to visualize what's actually happening.(example of this below)









These are helpful rules to remember(probably wouldn't hurt to have these memorized somewhere in the back of the ol' nogan)

And finally he showed us a little trick:

-the number of curves in a function can be found easily by minusing 1 from the exponent of x.

For example if the function is y=x^2, it will have (2-1), or 1, curve(s).. and so on, as shown in the diagram above.



That's all for today.. but a reminder to keep up with accelerated math!




Max's dream student..

Hello fellow occupants of this outrageously large pre-calc class...


My goal for this semester is to get a mark of 90% or higher and live life to the fullest.


This link is where you can go find old provincial pre-calc exams (with answer keys) to study off, of or practice from, throughout the course. :

http://www.edu.gov.mb.ca/k12/assess/archives/index.html

Hint:volume of a cylinder=(pi)(r^2)(h).. get it??



Both pictures courtesy of the one, the only, google.ca.