AP Calculus AB and BC Course and Exam Description This is the core document for the course. It clearly lays out the course content and describes the exam and AP Program in general. These are example problems taken directly from previous years' exams. Even if you aren't taking the exam, these are very useful problems for making sure you understand your calculus (as always, best to pause the videos and try them yourself before Sal does).

• Old 2018 Ap Calculus Practice Test
• Old 2018 Ap Calculus College Board
• Old 2018 Ap Calculus Scoring

Calculus AB

June 29 - July 3
Instructor: Mark Howell

This five-day institute will focus on instructional materials and methodologies for an AP® Calculus AB course. Hands-on student-centered activities and explorations are a prominent component of the institute. Pacing, reviewing for the AP® exam, using old AP® Exam problems, assessments, and a discussion of the 2017 AP® Reading are all included. Changes in the course related to the new Curriculum Framework will also be discussed.

• Day 1: Overview of the AP® Calculus program; limits, relative growth rates of functions, and asymptotic behavior; continuity and its consequences; rates of change; tangent lines and local linearity.
• Day 2: Concept of a derivative; derivative at a point and derivative as a function; higher order derivatives; the Mean Value Theorem; the role of sign charts and writing justifications; applications of the derivative, including optimization; implicit differentiation and related rates.
• Day 3: Riemann sums and trapezoidal sums; functions defined by an integral; calculating net change as the accumulation of a rate of change; the Fundamental Theorem of Calculus; average value of a function; applications of the integral, including volumes of solids with known cross sectional area.
• Day 4: Differential equations; slope fields; constructing assessment items for AP® Calculus; instructional and supplementary materials; reviewing for the AP® Calculus Exam; planning and pacing.
• Day 5: The AP® Reading – organization and process; review of the 2018 AP® Calculus AB Free Response Examination, including student samples; the new Curriculum Framework.

Calculus BC

July 13 - 17
Instructor: Mark Howell

This institute will cover all of the topics in the AP® Calculus BC course, with special emphasis on the BC-only topics. A multi-representational approach will be used throughout, looking at concepts symbolically, graphically, numerically, and verbally. A substantial collection of student-ready activities will be distributed, including many that use technology in ways that engage students in the learning of key Calculus concepts. The most recent free response problems will be discussed, as well as insights from the AP® reading. Sharing of ideas for planning the course, pacing, resources, and AP® exam preparation will be part of the institute. Changes in the course related to the new Curriculum Framework will also be discussed.

Old 2018 Ap Calculus Practice Test

• Day 1: Limits; continuity and its consequences; the derivative and local linearity; l'Hospital's Rule; applications of the derivative to parametric and polar functions.
• Day 2: The integral and Riemann sums; the Fundamental Theorem of Calculus; applications of the integral; applying the integral to polar and parametric functions; improper integrals.
• Day 3: Differential equations, slope fields, and Euler's Method; the logistic model; improper integrals; antiderivatives by parts and partial fractions.
• Day 4: Infinite series, Taylor polynomials, Taylor's Theorem and the Lagrange form of the remainder and error bound; tests for convergence.
• Day 5: Reviewing for the AP® Calculus Exam; planning and pacing; the AP® Reading - organization and process; review of the 2018 AP® Calculus BC Free Response Examination, including student samples; the new Curriculum Framework.

About the Instructor

Mark Howell teaches mathematics and computer science at his alma mater, Gonzaga High School in Washington, DC.

Back to Be Prepared Calculus About this book Ordering Info Order now The College Board links Skylight's home page

Chapter 10 Annotated Solutions toPast Free-Response Questions This material is provided to you as a supplement to the book Be Prepared for the AP Calculus Exam. You are not authorized to publish or distribute it in any form without our permission. 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. This chapter contains solutions and notes for the free-response questions from past AP Calculus exams. The free-response questions and scoring guidelines for these examsare posted on the College Board's apstudent web site and, for teachers, on AP Central: For students: For teachers: All solutions: 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 The best way to practice with the past exam questions is to first solve them on your own,then compare your solutions with our solutions and notes. 1971-1985 questions with solutions by Judith Broadwin and George Lenchner,and 1986-2000 questions with solutions by Judith Broadwin, George Lenchner, and Martin Rudolph,are available for purchase and free download (scanned-to-PDF) atmoems.org.

Old 2018 Ap Calculus College Board

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Old 2018 Ap Calculus Scoring

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