I added a second movable point in the second graph. This point is point f(b), it moves along the parabola in the same way f(a) does. The set up for my own graph wasn't too different than the original two, the only thing I changed was the f(x) equation. I took my creativity to the max. Using limits, we can use a secant line and eventually turn it into a tangent line.
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This week was more limits. Not as many limitations though! So we're making progress! It's still taking me a little bit to get through the homework and everything. I also didn't do great on the quiz this week, so here's hoping that I do better on the test! Also I may or may not be struggling to get the homework done on time but that's just beginning of the school year laziness and procrastination. Also adding in a dash of being super busy and just wanting to sleep. I plan on getting all this done this weekend, so come monday I'll e able to focus on the new work and the test! This week we worked on limits. I did limits during the third tri last year and they're pretty much as easy as I remember them being. It was really nice to be able to finish the work so easily especially after going over the review packet and panicking a little bit. Limits were probably one of the easiest things that I did in precalc, working on them in Calc has been good because it means that I haven't completely forgotten everything from the past year. Those three months and the first week of school really brought into perspective just how many limitations I have, especially in math, but doing the limits helped me to also remember that I am very good at getting over those limitations or making the best out of those limitations. Honestly, that's what I really want to do with this class is overcome my issues with math. So, it's the end of the first week of school. I'm finally a senior, and you would think I'd be more prepared for the challenges that come with it, including, but not limited to, AP Calculus and the math that comes with it. I'm not, I'm really, really not, and I'm kind of ashamed of that fact. In all honesty I've never been great at math. Good enough to get through honors courses, with plenty of help from my peers and teachers, but never quite good enough to make math an easy A. It's weird to be in these advanced math classes and o honestly struggle when my peers and friends breeze through it with little more than a question or two. I'm hoping that once we get into learning the actual new material I'll start to feel more comfortable, but for right now looking over the prerequisite packet I'm scared for the coming year. I'll be able to get through it though. I have in the past, so I can do it now. At least that's what I keep telling myself. We'll see what I say when the AP test comes around. That's blog (and week) number one done, here's to a better year than ever before and a successful math class. |
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January 2018
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