One thing you canĭo to prepare your students, starting before Algebra 1 and continuing through their precalculus course is to adapt AP free-response questions to the skills students are presently learning. AnĮxcellent article not only relevant to Calculus but to all mathematics courses.ĪDAPTING AP MATHEMATICS QUESTIONS AS A PRE- AP STRATEGY by Dixie Ross.
THE CHANGING FACE OF CALCULUS by David M Bressoud Part 1: First Semester Calculus as a high school course and Part II: First- and Second – Semester Calculus as College Courses.ĪSSESSING TRUE ACADEMIC SUCCESS: THE NEXT FRONTIER OF REFORM by Dan Kennedy. See especially Chapter 5 on technology use Calculus I and II courses. Statistical Abstract of Undergraduate Programs in the Mathematical Sciences in the United States A report by the American Mathematical Society (2000). IMPROPER INTEGRALS AND PROPER AREAS by Lin McMullin A student’s question about improper integrals and the range of the Arctangent function. Talman shows that if f is a function given continuous on a closed interval and increasing in the open interval (a, b), then f must be increasing on the closed interval. A discussion of increasing and decreasing functions and the common misunderstandings about them.
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THE AP CLACULUS EXAM: HOW NOT ONLY TO SURVIVE, BUT TO PREVAIL by Lin McMullin Advice for your students (and you) on how to prepare and review for the AP* Calculus Exams. The free-response questions (Calculus, Statistics and Computer Science): how the points were divided, how studentsĭid, common mistakes, and much more. The summer issue contains detailed information on each of Downey that illustrate over six dozen of the main ideas of calculus. Set 1 and Set 2 AppletsĪ great set of applets by Thomas S. Two sets of flashcards for practice with calculus concepts by Dixie Ross and Scott Pass. Click here for this article from my book Teaching AP Calculus Flash Cards Painting a SphereĪ variation on related rates leads to an accumulation problem. Questions used and discussed in class in my 2007 AB and BC Calculus one-week summer institutes. Handout from an online presentation given at AP Central. My presentation at the National Conference of Teachers of Mathematics Annual Conference Apin San Diego, California. The talk is based on my book Understand Limits (c) 2007 People Education ISBN 978-1-4138-1943-4 (out of print)Ī presentation given in February 2004, at the College Board Math Specialty Conference.
Teaching Limits So That Students Will Understand Limits Some thought on Pacing for AP Calculus based in part on the discussion above. The ideas here apply to all AP Calculus exams. PowerPoint Slides (.pptx) Thoughts on the AP Free-response questions and Pacing :Ī Discussion of the 2011 AP Calculus free-response questions and where the concepts tested appear and, more importantly, do not appear in textbooks. Presentation from NCTM Annual Meeting, April 2012, Philadelphia, PA.and webinar for Calculus for AP* by Rogawski and Cannon, February 15, 2012 PowerPoint Slides Here’s the Graph of the Derivative … Tell me about the Function My presentation at the 2011 NCTM Annual meeting, Apin Indianapolis, Indiana and for the webinar for Calculus for AP* by Rogawski and Cannon, December 5, 2102 PowerPoint Slides Accumulation and Functions Defined by Integrals My presentation at the 2013 NCTM Annual Meeting, April 19,2013 in Denver Colorado The Writing Questions on the AP Calculus Examsįull Handout and PowerPoint Slides (.pptx) The Ubiquitous Particle Motion Problem Includes tables indexing each type by year and question numbers. AP* Calculus Free-response Type Questions (1998 – 2014) A guide to the AP Calculus free-response questions. Some of the material may be outdated, but most is still of interest. Then compare your solutions with our solutions and notes.These links are from my old website. The best way to practice with the past exam questions is to first solve them on your own, The free-response questions and scoring guidelines for these examsĪre posted on the College Board's apstudent web site and, for teachers, on AP Central:
This chapter contains solutions and notes for the free-response questions from past AP Calculus exams.
However, you may print out one copy of this chapter for personal use and for face-to-face teaching for each copy of the Be Prepared book that you own or receive from your school. You are not authorized to publish or distribute it in any form without our permission. This material is provided to you as a supplement to the book Be Prepared for the AP Calculus Exam. AP Calculus - Past Free-Response Questions
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