CalculusJuly 19-23, 2010 Monday-Thursday, 8:30 a.m. 4:30 p.m. Friday, 8:30 a.m. 12:00 noon This session is designed for beginning (new) as well as experienced AP Calculus teachers and will focus on the three major themes in calculus: Limits, Derivatives, and Integration. Strategies and pedagogy to effectively present the calculus concepts covered under the AB curriculum will be discussed. Using numerous Free Response questions, we will discuss the scoring rubrics and how the exam is scored/read. We will also discuss in detail the AP Calculus Exam and how these calculus topics are tested. AP* Calculus Institute
Outline Title: AP*
Calculus AB
Goal: To help prepare beginning teachers to AP Calculus the skills to develop and present an effective AP Calculus class. For more experienced AP teachers, this institute will help you refine and improve upon your existing calculus skills. Course Description: Over the course of this institute we will discuss: 1. Topics included in the AP curriculum (including slope fields) 2. Calculator usage 3. Teaching styles/strategies 4. Various textbooks/publishers 5. Available resources for AP teachers 6. How to present various calculus concepts 7. The AP exam format 8. Scoring the AP exam Instruction Types: Presentations, group discussions, small group work, individual presentations, problem-solving sets Assignments: Participants are expected to participate daily according to their comfort level, homework will be given on Monday, Tuesday, and Wednesday nights, and individual presentations on Thursday or Friday. Letter of Accommodation: If you need/want me to write a letter to your superintendent, principal or department head explaining the work you did during this institute, please just leave a name and address and I will gladly do this when I get back home. Daily Overview Day 1: Monday, July 13th Problem of the Day AP Calculus Overview Textbooks Reform Movement Limits Derivatives Homework Day 2: Tuesday, July 14th Problem of the Day Rate of Change Implicit Differentiation Related Rates Applications of the Derivative Riemann Sums Homework Day 3: Wednesday, July 15th Problem of the Day Accumulation Integration Fundamental Theorem of Calculus (FTC) Slope Fields Free Response Questions Day 4: Thursday, July 16th Problem of the Day Differential Equations BC Calculus Overview Area/Volume Selecting a Free Response Question for Presentation Individual Presentations Homework Day 5: Friday, July 17th Problem of the Day Individual Presentations Scoring Student Samples College Board Rubrics Scoring the AP Exam Closing Activities Evaluations *College Board, AP, Advanced Placement Program,
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