This course is designed for teachers who have already taught the AB curriculum and are comfortable with the AP program. The AB curriculum will be reviewed, with an emphasis on the topics the participants desire. We will look at proofs of the basic theorems of AB calculus, as well as more in depth explorations of differential and integral calculus applications.
In addition, we will look at first semester college calculus topics that are not part of the AB curriculum. The specific topics will be determined by the group.
These sessions will cover all topics on the Calculus AB syllabus which includes limits and continuity, definition of the derivative, applications of the derivative, rate of change, Mean Value Theorem, Riemann sums, the definite integral by geometric and analytic means, average value, anti-differentiation,, applications of integration, the Fundamental Theorem of Calculus, slope fields, applications of anti-differentiation and separable differential equations.
This institute will focus on the content knowledge described in the AP syllabus as well as techniques and ideas for developing a successful AP program. We will cover topic content, strategies, and teaching techniques for presenting the material for student understanding will be shared. We will use multiple representations graphical, numerical, analytic, and verbal to foster a more complete understanding of calculus.
Sample problems from previous AP exams will be given and solved together to develop an understanding of the material and the College Board philosophy. Participants will also receive a variety of classroom tested activities and calculator programs to enhance their own teaching. We will discuss ways to prepare students for the AP exam. Participants will also get several current textbooks and resource materials. Instructors will be sharing their extensive files.
Participants should bring a TI 83/84 graphing calculator and a laptop as we will look at many free web-based resources. St. Johnsbury does provide free internet access in the classrooms and dorms.