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Teaching Calculus by Lin Mcmullin - 6d ago

This blog post describes a lesson that investigates some ideas about sequences that are not stressed in the AP Calculus curriculum. The lesson could be an introduction to sequences. I think the lesson would work in an Algebra I course and is certainly suitable for a pre-calculus course. The investigation is of irrational numbers and…
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Existence Theorems An existence theorem is a theorem that says, if the hypotheses are met, that something, usually a number, must exist. For example, the Mean Value Theorem is an existence theorem: If a function f is defined on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists…
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Teaching Calculus by Lin Mcmullin - 3w ago

College Board Prerequisites Whenever I led a calculus workshop or APSI, I always spent a little time discussing the prerequisites for AP Calculus. Unfortunately, in some schools AP Calculus is a course for only the talented and little time is spent aligning the mathematics program and courses from 7th grade on so that more students…
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Teaching Calculus by Lin Mcmullin - 1M ago

In March, I attending a training session given by the College Board on the new 2019 AP Calculus Course and Exam Description (2019 CED). I was impressed by the copious other materials the College Board had prepared for the roll-out that will be available at summer institutes. Among these was the Mathematical Practices. The MPACs…
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The new 2019 AP Calculus AB and BC Course and Exam Description is now available. New and experienced AP Calculus teachers should download a copy and read it carefully. (A paper copy with binder can be ordered here – it’s FREE.) The main sections of the book are here with notes on each. Part 1: General…
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The new Course and Exam Description for AP Calculus AB & BC (CED 2019) effective for the  coming school year has been published and is available electronically at the course homepages. The direct link is https://apcentral.collegeboard.org/pdf/ap-calculus-ab-bc-course-and-exam-description-0.pdf?course=ap-calculus-ab This document is for both AB and BC courses. There will be no change in the exam style and…
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Teaching Calculus by Lin Mcmullin - 2M ago

So, Tuesday is the day. My usual suggestion for Monday is to get the kids both relaxed and psyched. They know it by now; not much more you can pour into their heads. So, not last minute advice or hints. Good Luck and best wishes. Looking ahead – May: the new Course and Exam Description for…
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Teaching Calculus by Lin Mcmullin - 2M ago

So, Tuesday is the day. My usual suggestion for Monday is to get the kids both relaxed and psyched. They know it by now; not much more you can pour into their heads. So, not last minute advice or hints. Good Luck and best wishes. Looking ahead – May: the new Course and Exam Description for…
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Teaching Calculus by Lin Mcmullin - 3M ago

Here are the links to the various review post for this year. Tuesday February 27 – AP Exam Review Friday, March 2 – Resources for reviewing Tuesday March 6 – Type 1 questions – Rate and accumulation questions Friday March 9 – Type 2 questions – Linear motion problems Tuesday March 13 – Type 3…
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The last BC question on the exams usually concerns sequences and series. The question usually asks students to write a Taylor or Maclaurin series and to answer questions about it and its interval of convergence, or about a related series found by differentiating or integrating. The topics may appear in other free-response questions and in…
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