Optimization is a tricky topic in calculus. This one-day activity allows students to discover how calculus can help them.
Each student (or small group) starts with an index card, which will be cut and folded up to form a box. First they calculate
I print out this pdf double sided, laminate and hole punch it for every single student in my AP Calculus classes. Includes all the algebra and trig facts that kids tend to forget, plus every equation or rule they need to know for the AP test. AB and
A complete lesson that completely covers the calculation of volumes by cross sections. Most calculus textbooks ignore this topic, or jump straight to very difficult examples.
This lesson begins with a review of geometry. Most calculus students have
After students have learned all the advanced integration techniques, they need practice choosing which technique to use. Not everything is integration by parts! Most other reviews focus on a few topics, or include topics not on the AP test. This set
I have taken all of the released FRQs from the college board (http://apcentral.collegeboard.com/apc/members/exam/exam_information/8357.html) and found the earliest point in which I can use them.
If you use the Peck, Olsen and Devore textbook, this