Tuesday, May 13, 2008

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..

Probability, May 13

We started probability today.
It was a rather short lesson.
Homework check tomorrow on exercise 36, 37, and 38.
49 accelerated math objectives due friday.
http://www.cartoonstock.com/



Friday, May 9, 2008

Comb. + Conics Test

First off, I apologize for not getting this post up sooner; the Sun computers were having some trouble with "Java enabled cookies" or something along those lines and I was consequently unable to log onto Blogspot.

At any rate, it should not matter as all that happened during my scribe day was the Comb. + Conics test, which I hope everyone performed well on.

Remember to get your Accelerated Math Objectives done on time (50 by next friday last time I checked).

-I.B.

May 9th

Hello Pre Calc class,

Once again I am sorry for not getting up this post sooner. No excuses.. I forgot. On Friday we learned about hyperbola's. Mr. Max was teaching us the standard equations for hyperbolas and what exactly they look like.

Above we examined how to simplify the equations in order to find the values of A and B. Also known as the major axis and the minor axis. Once given the values of A and B you can also input the Domain and Range.
As Mr. Max said... some people may be able to just "eyeball" the graph of this hyperbola and be able to figure out what the equation for the asymptotes are. If you are having trouble doing this just remember RISE/RUN, and don't forget to give the equation the sign of "+" or "-" .
Above is how to find the equation of the asymptote mathematically. Also given below are the Standard Forms of the equations of hyperbolas. These will help you to know when the hyperbola opens up or down.

Remember that 49 mental math objectives are due this Friday.

Wednesday, May 7, 2008

Hey, today we were lucky enough to get a study day and get a break from learning, although we got a chance to learn some messed up japanese . Remember to study hard for the test thursday and that around 57 accelerated math bjectives are due next. Keep working hard. Only one more month!!

Tuesday, May 6, 2008

May 6... More Conics

Well hello friends! Today we began class with another mental math. One more to go until we get to abolish our two worst! And for us who have missed previous ones we all have a chance to make up for them when it works for us and Mr. Max... possibly tomorrow at lunch??


Anyways after we corrected our mental math our fantabulous teacher did a homework check which was yesterdays example assignment. We went over it as a class then began learning more conics. Today... Hyperbola's




Here are the slides from todays lesson and examples of hyperbolas.







For anyone that may want a little additional information on hyperbola's, I think it would be worth your time to check out http://www.mathwarehouse.com/hyperbola/graph-equation-of-a-hyperbola.php
I found it to be very helpful and hopefully you do to!

Anyways, remember to do your homework as our test is thursday! By for now.

Monday, May 5, 2008

Sketching/Analyzing Graphs Part 1

We began class today with Mental Math. Remember that we have two more left and then we can remove our two worst marks. There was also a discussion about a makeup time for any Mental Maths anyone may have missed. Then we began our notes for today. We're talking about sketching and analyzing graphs of conics. We got through ellipses today, and will hopefully be finished hyperbolas and parabolas by Wednesday before our test on Thursday. So the first ellipse we talked about is when the bigger number (always 'a' in our examples) is associated with the x values. This diagram shows where the axes and vertices are found. I think of this as a horizontal ellipse because the major axis is horizontal.
Following with that, an ellipse where the bigger value ('a') is associated with the y value could be called a vertical ellipse. This slide shows the equation and sketch of a vertical ellipse.
Here are a few examples of sketching and analyzing ellipses.

Here are the standard form equations for ellipses with all the components. The h and k describe the centre and are also used to find vertices as described below.


And for homework we have these two examples to do. Mr. Max said it's quite possible he will check these for homework tommorow but he will not be checking from the cumulative exercises. However, we should now be able to do Exercise 37 with the notes he gave us today.

In regards to the pretest, we omitted long answer number 6, and you can basically insert parentheses wherever there are some crazy symbols.


I think that basically covers the math stuff. Just a quick note on some totally unmathematicallyrelated stuff. Something about badgers...(and falling in holes and hamstrings and Chuck Norris...)


This is a real sign from the Parks Canada website. (http://www.pc.gc.ca/apprendre-learn/prof/sub/badger/badger_img_e.asp) If you see the sign, don't get out of the car and wait for a badger to come by. I hear they're dangerous.
Till next time,
Bethany

Friday, May 2, 2008

Conics Again...

Happy Friday Everyone!. Today Mr. Max started off by handing back our tests. Then we dived back into the world of conics. Here are some screenshots of what we did:




Just a couple more examples. Here are some general formulas that he gave us for the four conic sections:











These should get us on our way for the conic excercises. These are Ex.36,
1-10; Ex.37, 1-10, and Ex.38, 1-10. Mr.Max won't be checking homework on Monday, but there will be one eventually for these 3 excercises. And Don't forget that due today at 3:40 is 39 Objectives for Accelerated Math. On that happy note, Have a good weekend everyone!


***P.S I know it is Monday today. Me, being the ditz that I am, wrote a blog post on Friday and forgot to post it. So I apologize for this being late....hope it didn't ruin anybody's accelerated math or anything...






Amy

Thursday, May 1, 2008

classifying comics

Well having missed almost two weeks of school and finding out that it was my turn to be scribe first day back didn't exactly fill me with a nice bubbly feeling but instead a sense of dread of not knowing what was going on. So if this post isn't great I am sorry and I'll encourage anyone to add comments to try and correct it.

Well after the start of class and learning the rules for 4 conics the circle, ellipse, hyperbola, and parabola ( don't forget that a parabola can open up, down, right, or left) we then went on to how to go from general form to standard form which is basically working to simplify the equations to their simplest form.



and finally after a week away from class this here sums up how almost everything sounds.

http://www.simonsingh.net/Mathematics_Cartoons.html
Well, yesterday was a *Darlene* Day, so I will put up the screenshots of what Mr.Max did.



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.