Feb. 26/09

Today, there was only four of us, so we did not start anything new. Instead, it was just a catch up class.

Tomorrow, Mr. Max is checking homework, Exercise 1 to 9.

Wednesday, February 25, 2009

Today we had a test on lessons 1 through 8ish. I will not be here tomorrow so I have no clue as to the material that will be covered tomorrow. After doing this test I would appreciate it if we could go over this material as a class for the simple reason that is was almost the hardest thing I have ever done.

See you Friday!!

Hey I found this link and it has a quiz at the bottom of the page that really helped me understand even and odd functions. Enjoy

http://archives.math.utk.edu/visual.calculus/0/functions.14/index.html

Ok guys the homework for today is exercise 9 questions 1-16. Don't forget, there is a test tomorrow, that is cumulative from the other units. Good luck, and study hard.

Here are the screenshots for the lesson that day.

Sometimes Math Is Just Fun....

I found this a little bit by accident on the web today, and I thought I would share it with you. Much more fun than SUDOKU if you ask me...


http://www.kenken.com/





I finished the 4 x 4 and 5 x 5 in a few minutes, but I bet it gets really interesting when there's a 9 x 9 grid....





I know, I know.....there aren't enough hours in the day for diversions such as these, but really, this is a fun one. Enjoy. I did.

RM

More on transformations

Today, Mr. Max talked about our course as a whole and the test that we are taking on Wednesday. He said that we will not be allowed to use calculators on the test since that would be good practice for our exam. (Geez, everything is about the exam now and not about math! ;-) )

Basically, it boils down to this: this is the kind of course where we have learn to learn. That is, we cannot sit around and expect Mr. Max to fill our head with the answers. We have to take the initiative to work and learn on our own and ask for help when necessary.

Now, onto the government website: there were exams on there as well as the solutions to the questions. One thing that was emphasized was the word “exemplar.” In this case, exemplar means something that is typical of a student. And also the kind of mark they would get for a answer that was only partially correct.

Here is a link to that website:

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

Now, onto the math. (Finally.) We did some more stuff on transformations dealing with compressions and stretches.

I wish I had something to say about these slides, but I don't (Sorry Mr. Max). So I think that you can interpret these yourself:

Also, here is a video of the lecture that Mr. Max gave us:

Here is what Mr. Max assigned for us to do for homework: exercise 8, 1 to 17 all.

Have a great and wonderful day! Also, study hard for that test! I myself will need it the most. ;-)

Transformations

Hey Guys! Today we learned about Transformations, a new unit! It's all about functions and what not. Here are the notes! I'll hopefully be adding more info tonight when I have a minute. Until then, this is just the plain and simple version; cut and dry persay.

Here's a ridiculous math joke to entertain yourself with...

Q: What do you get if you divide the circumference of a jack-o-lantern by its diameter?
A: Pumpkin Pi!

Hope you enjoyed it as much as I did (which was quite a lot).

The homework is Exercise 7 questions 1-18. Good luck!

Trig Graphing

Mr. Max reviewed the sin curve and then told us he would be doing some funny hand gestures that would help us understand, we all thought he was nuts.

So the equation for transforations of sin (also works for cos, these rules are not for tan) looks like this

y=a*sin b(x-c)+d

O and just a note Mr. Max doesn't think "alls" is a word so watch your language

When you change "a" the sin graph will go to the new number and its negative integer, since one is usually the number (even though we don't rught it) so the y=sin(x) graph has an amplitude of 1 and goes from a minimum of -1 to a maximum of 1 in the y-axis

In precalc amplitude = [max-min]/2 amplitude is always an absolute value

ronblond.com is a good website Mr. Max put a link on the blog to with java aplets that demenstrate these rules as well as many others visually on the x,y plain

b controls the period of the sin wave, if b is two the sin wave is cut in half or happens every pi instead of 2pi

period=2pi/[b]

c is the horizontal shift or phaze shift

phaze shift is defined as c if y=a times sinb(x-c)+d is in factored form(b is outside parentheses or y=a times sin(bx-c)+d

d controls verticle shift d=vertical shift

same rules for cosine curve but not the tangent curve,

assignment is the first 16 assignments on exercise 6

And alls well that ends well, unless you feel like this unfortunate student in Professor Hermans class

More Practice With Sine Curves and Other Trig. Functions

http://www.slideshare.net/dkuropatwa/precal-40s-february-17-2009?type=powerpoint

Much, much better than listening to me??!!??

;)

RM

More Trigonometric Equation solving

Today, we went over some more trigometric equation solving. We also got our tests back, which wasn't the best thing. Anyway,on to the lesson. Here are the slides and the recording for the day.

If anyone wants some extra help with this, here are a couple websites you can go to. You can work on some questions on one of them, and check your answers

http://www.sosmath.com/algebra/solve/solve0/solvtrig.html

http://en.wikibooks.org/wiki/Trigonometry:Solving_Trigonometric_Equations

Friday the 13th

Sorry for having this post up a tad bit late but having been away for the first week of class I hadn't been invited to this blog so was unable to contribute to it. Anyways this is for FRIDAY THE THIRTEENTH which if i heard right wasn't a real lucky day for our basketball team. To bad guys but you'll just have to prove that it was the dates fault for your losses in your next game. But back to the class. It was basically a free period where we were allowed to either work on the assignments given to us or go and watch the basketball tournament in the gym. Here's hopping that no ones weekend turned out following the forecast given below.


http://www.iceagenow.com/

Tuesday February 17, 2009

Mornin' fellas, :D I hope you all enjoyed your long weekend & early dismissal, :D
today in class we did: ...math (who would have guessed ;) )
Trigonometric equations and how to do them to be a little more precise...

heres the screens:

...and the homework:
Exercise 3: 1-16
Exercise 4: 1-16
Exercise 5: 1-13

...and remember: Max threatened to check on some of the questions the next couple of days!!!

And here is our class vid:

Friday, February 13, 2009

(This should have been up a week ago, but stuff happens. . . . )

Today, there was a basketball tournament, and some of the class stayed behind while others went to see the game. There wasn’t any new material introduced today, so that saves me the headache of having to put up more material. ;-)

Today (one week ago) Mr. Max showed us a really cool program called graphimatica (which is probably a spinoff of the famous “Mathematica”). We also learned about angles of rotation and the two types of angels: supplementary angles (angles add up to 180 degrees) and complimentary angles (angles that add up to 90 degrees), and arcs.























We can take make graphimatica export a clean image showing us our graphed lines:

Now, on to the angles of rotation. When the terminal arm rotates clockwise, it is negative, and when the arm rotates counter clockwise, it is positive:

To measure the total rotation, we use the terminal and the initial arm. We measure the amount of rotations by starting at the initial arm and ending at the terminal arm:

A supplementary angle is 180 degrees and a complementary angle is 90 degrees:

And onto the arcs:

Have a great long weekend!

And here are some links that might be of interest for some extra math stuff:

www.cemc.uwaterloo.ca
www.artofproblemsolving.com

Trigonometric Ratios

If you ever come across a question like this, don't worry about the technology! It could make things much more complicated than necessary, unless you're good at changing about a million decimal places into whole pi units. ;) Refer to your unit circle, it will present things in a much neater manner.

See, this right here is what I'm talking about. 30 degrees is equal to .5235987756 OR pi over six.

How do they relate? Well, they're equal to the same thing, 1/2.

If you are wondering why we stopped at just these four numbers, recall that we had a statement before saying... Zero is less than/equal to thata which is less than or equal to two pi. (Sorry I have to put it into words, I couldn't find how to use symbols on here!).


This has the same idea as the above example, remember to stay within the limits of the equation given.

I'm going to be completely honest with you guys, this slide didn't make much sense to me. I don't understand what on the graphmatica graph applies to what/which things he wrote. If anyone else understands, it would be great if you left a comment explaining it for us (or me at least)!

This slide basically explains that if a function is inverse, it will like like a "mirror image," persay on the vertical line y=x. It's a great test to see if the answer you came up with is correct.




The range is restricted to only quadrants one and four because of the equation we must follow (-90 degrees is less than/equal to "y" which is less than or equal to +90 degrees).

At this point, I'd say it's almost vital to have your unit circle close to memorized, or at least to be able to visualize it when doing problems such as these. The link posted below leads you to a site in which you can slowly learn/memorize the circle. It kind of works by process of elimination. You can even quiz yourself afterwords. I hope it helps you!

Remember the Unit Circle

Here is one small tid bit of information for you... Many of you may of heard my excitement in class about the "pretty calculator"; I really am quite excited for it. I tried a few functions with it too, and it runs fairly smoothly! Hope it's of use to you.

The "Pretty" Graphing Calculator

Enjoy watching basketball tomorrow!