Tuesday, March 11, 2008

Pre-Transformations Test Review

Hello everyone, it's Nelsa again, writing my second scribe post. Oh and, if anyone's confused, my nickname's Dimple, so uhm, that's that.

Most of this class was a review, since everyone's BOB posts contained uncertainties with graphing reciprocal functions and solving word problems like the one we just learned yesterday. We were placed into groups, and we started by solving the homework that everyone should have attempted for homework. I believe that is on the first four slides, not including the title.. page. Just remember guys, that wherever the function has roots, that's where the asymptote is, and the invariant points are where one and negative one is. Mark these first on your graph, it'll make things easier. From that point on, you just need to remember that whenever the values are smallering, the reciprocal is biggering, and whenever the values are biggering the reciprocals are smallering. Also, pay attention to the end points and arrows on a graph. If you draw an arrow when the graph clearly stops, you'll lose a full mark.

After reviewing our homework, we were given another word problem:

The pedals on a bicycle have a maximum height of 30 cm above the ground and a minimum distance of 8 cm above the ground. Jeng pedals at 20 cycles/minute.

The first question asked us to find the period in seconds. Since there's 20 cycles/minute, with each minute containing 60 seconds, we divided 60 by 20 to get 3 seconds/cycle. We were also asked to write two equations, which means figuring out ABCD. The sinusoidal axis. is the value between the minimum and the maximum (8 and 30), which is 19. The amplitude was found by subtracting 19 from 30, which is 11. The period as we know is 3, which means in the equation, the period is written as 2pi/3. All that was left to figure out was the phase shift, and after some confusions and disagreements, we finally agreed that for the cosine function, there was no phase shift, and for the sine function, the graph shifted to the right by 3/4. We found two equations using the above information.

And that was basically the whole class. Don't forget that we have a pre-test and a test tomorrow, good luck all. The next scribe shall be Kristina. =)

Today's Slides: March 11

Here they are ...



Your upcoming test--- a challenge

Knowing you'll push to those limits on your test!!

BOB on Transformations, Function in Disguise

Yet again, bobbing, for the next test that is coming. Wow.

Transformations. I understand the whole graphing sine & cosine, so the whole graphing functions wasn't so hard, until it came to more complicated things like 1 / f(x). A key step to remember when graphing the new function is STRETCHES before TRANSLATIONS. ALSO remember to put f(x) = or y = otherwise it will be treated as an expression and will be marked WRONG. And then you'll fail. Well you won't fail but you'll lose a whole mark. So that was pretty good to remember. The whole DABC thing, I believe I got in the bag. So I'm feeling pretty good. I should study anyway though.

Piece wise functions got me in a bind for a bit. I don't completely understand them yet, but I'll look back at them and stare at them for a good few hours and maybe I'll figure something out. The 1/sine stuff I understand now after finding the patterns because well I mean, like Mr.K says, Math is the science of patterns. Therefore, is math a science... or is math.. Math? Anyways, the Sunrise problem was quite an eye opener, but after Mr. K gave us a push-start, I started to see everything fall into place with the exception of missing little things like adding the -10 to the total, which would mess up out marks so, that's something to look out for.

Overall, this unit was pretty good with the few exceptions of a few things that threw me off course but one we stare at it for a bit, we tend to find our way again, right guys?!

My BOB for Transformations

Ahhh yes our second unit... TRANSFORMATIONS. I know what you are thinking: Transformers, sorry but nope....
This is so much better than those silly robots. Unlike the Transformers who are only limited to a few or several forms (Optimus Prime always has the most), you can take a function and transform it in an infinite amount of ways by changing the values of the parameters: A,B,C and D. Anyways... I do not really have any beef for transformations, in fact I sorta enjoyed it. Looking at graphs in four different ways: numerically, graphically, visually and symbolically, my favourite being numerically since that is way I usually think. Carrying on, as I said before, this unit was not really that complex. A few bumps down the road such as reciprocal functions. Biggering...? Smallering...? What happened to the good old terms like increasing and decreasing... That kinda threw me off. Guess I should of read more Dr. Seuss back in my childhood. At first, I did not really get it, but now I do. After those examples we did today, it all became clear. Find the roots, variant points and graph away! Piecewise functions wasn't really a snag but I still don't know what an open circle means... Well that brings my BOB to a close. Can't wait until pi day, the anticipation is boiling within me.
Until next time, LATER

Monday, March 10, 2008

Bob on Transformations

Well i just its time for another test here is the bob on Transformations.

At first i thought that this unit was going to be really tough but as soon as we got in to it, it started to get pretty simply. one thing that i had trouble on was the graphs but toady's class really helped me out. ohh yeah another thing that really confused me at first was the words that we used in class like biggering and smallering, but now i get it. One rule that is key to remember is stretches before translations.

Well today brought up another problem for me. for some odd reason the Saskatchewan problem was a bit confusing but after looking at it for a long time and thinking about it i think that i might get it. Other wise this unit was a pretty good unit for me.

Transformations and BOB.

Francis here with a BOB on transformations. The test is up and coming and I have a feeling it's going to hit full tilt! But I'm not stressing, I'm cool, I'm cool. Just relax, take notes.

I found our unit on transformations quite easy and straight forward, because it's pretty much like a step ladder, take one step at a time and you'll be at the top safe and sound! I just remember to plot STRETCHES before TRANSLATIONS for those tough equations that include just about every type of movement. CONTORTIONIST EQUATIONS! Yeah, I made that up, but it kind of makes sense. Since these graphs seem to stretch and twist and turn and move all about. It's quite scary but I think I got it down.

I still have quite a bit of trouble on reciprocal equations, because it takes a lot of little steps to complete it. First you have to plot the original equation, as a guideline, then include asymptotes and then points that don't change on the reciprocal function and the original function. Finally figure out whether or not your lines are biggering, smallering, biggering negatively or smallering negatively. Probably missed a couple steps, but I guess that's why I'm having trouble on these things!

Well, that's my piece on transformations. Until next time.

Over and out? Under and out? Whatever
-Francis