The Final.

Dear future math analysis student,

Do not take advantage of the extra freedom that is privileged in this class. Hold this advice above all else. Do you want a successful year? If your answer is no, then you simply cannot have a successful year. Somewhere in the classroom there is a poster that says "If it is important to you, you will find a way." This is possibly the most important lesson in this classroom. Take a step back and forget math for right now. Think about the last time you did something, anything. Now realize that at one point in time, this "something" was exactly what you needed and wanted to do. Now that you understand this, apply it to not just this math class, but to your entire schooling. "What do you want to say to them to help them have the most successful year possible?" Simply, make yourself want the successful year.

Take it from me, if you won't listen to Mrs. Kirch, have an open mind. This is the most practical way to adjust to this classroom. Yes, you might miss the lectures from Mrs. Basu (or whoever was your Algebra 2 teacher), but now you can skip ahead if you understand and not have to sit through those boring minutes. Or probably even more common, you can ask questions without having to feel like you are slowing the rest down. Just always keep in mind that the technology is there to help you, not stop you.

Expect having your homework checked thoroughly. Thoroughly. Expect work that seems to be "extra" or however you want to call it, but above these things, know that they are for your own good. Actually, the the greatest tool will be your opportunity to collaborate on the material. That's really what got me through the year, and now on the last test of the year (calculus material) I received a 91%. DO NOT BE AFRAID TO collaborate.

-Ben Camacho


Any further questions? Consider this video!vvvvvvvv

Unit V: Big Question

Explain in detail where the formula for the difference quotient comes from now that you know!  Include all appropriate terminology (secant line, tangent line, h/delta x, etc).  Your post must include text and some form of media (picture/video) to support.







A regular positive parabola, a slope is found using m=y(sub2)-y(sub1)/x(sub2)-x(sub1). This is basically what we are doing again, only for a tangent line for a single point. This is important to remember! Two points on the parabola are plotted, the second point must be a tad bit to the right and up of the other. Make sure to label the points. In the original formula, "x sub 1" becomes "x" and "y sub 1" because "f(x). Next we draw a line that connects the points, and call that distance "h". So then it becomes "x+h" and "f(x+h)". Next we plug in the new points. Next we just cancel out the +/- x values and we get the difference quotient, or "derivative".












source: sciencehq.com