(today both AP and honors were very similar)
After returning signed syllabus forms, we discussed the Mathematician's Lament reading, noting how it might impact our learning this year and contrast with old modes of thinking and doing math. Then, we briefly examined p. 42-6 of the textbook and the visual representations that separate calculus from previous math classes: namely, the dynamic versus the static. Finally, we began work on a pre-calc review task.
Homework: #1-13 of this worksheet
Tuesday/Wednesday
AP: we started with Journal Questions which helped review piecewise functions, the unit circle, and trig equations. We then reviewed the homework from last night, showing algebraic solutions to each problem. We then started our Algebra Review packet which is due on Monday 8/18.
Homework: Algebra Review packet: due 8/18
Honors: After the same journal activity as the AP class (going over unit circle, piecewise functions, and trig equations, we went over our homework and began reviewing function behavior (Section P3) in the textbook.
Homework: p. 27: 1, 4, 6, 10, 11, 16, 19, 21-32
Thursday/Friday
AP: A journal activity discussed the difference quotient's evaluation (but not yet it's meaning) as well a review on asymptotes and how to find them. We then began to think about limits as a mathematical way to understand "closeness" and examined a complicated piecewise function and talked about what it means to get "close" to several different points. We then decoded the new notation associated with limits and started to think about limits from the left and from the right.
Homework: Packets due Monday; limits worksheet due monday
Honors: A journal problem evaluated the difference quotient expansion, showing the cancellation of terms. Discussions and problem analysis was done on domains and ranges and how they relate to different function families. A review of function families was discussed, which helped organize our personal math backgrounds and make sense of the different patterns that emerge from each type of function.
Homework: p. 36: #3-36 (multiples of 3)