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# AP Calculus AB

An interactive log for students and parents in my AP Calculus class. This ongoing dialogue is as rich as YOU make it. Visit often and post your comments freely.

## Friday, September 23, 2005

### Scriber Blogs

Another day in Calculus, where we sat and did problems from up the board. No that’s not all or what we did today. There was actually only one problem up on the board today =D. And today I believe was actually quite fun. Everyone threw out their ideas when we were brainstorming for our year story. I liked every idea that was up on that board. I could already tell that this year’s story will be great and something that would make us laugh looking back on it. Like what last year’s story does to me. So the ideas we all came up with were: The Knights of the 360 degrees table, 9 Something, Star Wars Calculus, Pirates and the 9 C’s, Superman (Superheroes), The CalcuFamily (CalcuMan, CalcuLady, CalcuBaby), Dr. Seuss, Snow White and 9 Dwarves and Handsome Princess, and Prince of CalcuLand. (I’m in favour for the latter idea ;) and of course everything else thrown into the story.) Place your votes on MONDAY :D

“You learn something new everyday.” I think I did anyways. Or was my memory just being refreshed? When you start of with two original functions, you can add, subtract, multiply, or divide them. With adding and multiplying, order of which function goes first doesn’t matter, it’s called the cumulative law. It’s like adding: 5 + 10 + 4 = 19, you can add it 10 + 4 + 5 and it’ll still equal 19. Same goes for multiplication: 2 x 5 x 3 = 30, you can also multiply it this way: 3 x 2 x 5 and it’ll still equal 30. But not the same law applies to subtraction or division. 5 - 3 is not the same as 3 - 5 and 8 / 3 is not the same as 3 / 8. Another thing we talked about is domains of the functions. You may have started off with two functions whose domains were the element of Real. The new function you get by applying an order of operation may not always give you a domain of Real. So the two steps you carefully have to follow in finding the domain is 1) Find the domain of your original functions and 2) Find the domain of your new function by watching your restrictions. Another thing we went over today was composite functions. Where a function is inside the other function. Kind of trippy. So in this kind of function with its domain, when there’s a restriction on one of the functions, there will be a restriction on new function. So my words of advice would be, “You could or may have been looking, but you weren’t really seeing.” In other words, don’t just look but actually see it ALL.

Then we went over the sheet that was given to us the day before. Hmm I shouldn’t really be getting into detail about it since we all have it in sheet for reference. We learned how to factor a polynomial where its degree is higher than two. We were taught to use synthetic division or super speed synthetic division =D. When plugging in possible rational roots into the equation, we may not always get a root (no remainder) and end up with a remainder. But there is always a positive side to everything. You may not have found a root but you have found a point on the graph, which will give you more better sketch of what the graph would look like once you have found the roots.

So in the end we were given two worksheets for homework instead of the usual chapter exercise in the textbook. And as usual the time in the room is wrong, and the bell goes. How time fly in class. Well till Monday. The voting starts then.

I’m done for now. “I think therefore I am.” - Renee de Carte
I think that’s how it goes. Can’t wait to hear the story Mr. K. Don’t think I remember how it goes.

- SarahS.

Oh yeah next scribe will be…dun dun dun… Glenney =D