AP® Calculus AB - AP® Calculus BC Course and Exam Description - Revised Edition, Effective Fall 2016

Sep 20, 2026

AP® Calculus AB and AP® Calculus BC course and exam description outlines the curriculum framework effective Fall 2016, including offering AP courses and enrollment, course and exam development, scoring, and interpreting AP scores. It specifies the AP Calculus AB/BC course curriculum framework: mathematical practices (MPACs), the concept outline with big ideas on limits, derivatives, integrals and the Fundamental Theorem of Calculus, and series for BC. The document further covers instructional approaches, exam information, sample exam questions, and corresponding answers and rubrics, plus updates and an AP Equity and Access Policy.

LanguageEnglish

CategoryExam

FormatPDF

Pages103

Reading Time4 h 20 min

AccessFree to download

About AP®

AP Equity and Access Policy

About the AP Calculus AB and AP Calculus BC Courses

AP Calculus AB and AP Calculus BC Curriculum Framework

AP Calculus AB and AP Calculus BC Instructional Approaches

The AP Calculus Exams

Sample Exam Questions

AP Calculus AB Sample Exam Questions

AP Calculus BC Sample Exam Questions

Answers and Rubrics (AB)

Answers and Rubrics (BC)

Course and Exam Description AP® Calculus AB and AP® Calculus BC Including the Curriculum Framework Revised Edition, Effective Fall 2016 AP® Calculus AB and AP® Calculus BC Course and Exam Description Effective Fall 2016 AP COURSE AND EXAM DESCRIPTIONS ARE UPDATED REGULARLY. Please visit AP Central ([apcentral.collegeboard.com](apcentral.collegeboard.com)) to determine whether a more recent Course and Exam Description PDF is available. New York, NY About the College Board The College Board is a mission-driven not-for-profit organization that connects students to college success and opportunity. Founded in 1900, the College Board was created to expand access to higher education. Today, the membership association is made up of over 6,000 of the world’s leading educational institutions and is dedicated to promoting excellence and equity in education. Each year, the College Board helps more than seven million students prepare for a successful transition to college through programs and services in college readiness and college success—including the SAT® and the Advanced Placement Program® . The organization also serves the education community through research and advocacy on behalf of students, educators, and schools. For further information, visit [www.collegeboard.org](www.collegeboard.org). AP® Equity and Access Policy The College Board strongly encourages educators to make equitable access a guiding principle for their AP® programs by giving all willing and academically prepared students the opportunity to participate in AP. We encourage the elimination of barriers that restrict access to AP for students from ethnic, racial, and socioeconomic groups that have been traditionally underrepresented. Schools should make every effort to ensure their AP classes reflect the diversity of their student population. The College Board also believes that all students should have access to academically challenging course work before they enroll in AP classes, which can prepare them for AP success. It is only through a commitment to equitable preparation and access that true equity and excellence can be achieved. This version ofthe AP Calculus ABand AP Calculus BC Course and Exam Description includes additional information on pages 45-46 on completing the free-response questions. This version also corrects an error in the sample exam question on page 83. The series now begins at 1 (n=1) instead of zero (n=0) . © 2016 The College Board. College Board, Advanced Placement Program, AP, AP Central, and the acorn logo are registered trademarks ofthe College Board. All other products and services may be trademarks of their respective owners. Visit [the College Board on the Web:](the College Board on the Web: www.collegeboard.org)[ www.collegeboard.org](the College Board on the Web: www.collegeboard.org). Contents Acknowledgments About AP® 1 Offering AP Courses and Enrolling Students 2 How AP Courses and Exams Are Developed 2 How AP Exams Are Scored 3 Using and Interpreting AP Scores 3 Additional Resources About the AP Calculus AB and AP Calculus BC Courses 4 College Course Equivalents 5 Prerequisites 6 Participating in theAP Course Audit AP Calculus AB and AP Calculus BC Curriculum Framework 7 Overview 8 Mathematical Practices for AP Calculus (MPACs) 11 The Concept Outline 11 Big Idea 1: Limits 13 Big Idea 2: Derivatives 17 Big Idea 3: Integrals and the Fundamental Theorem of Calculus 21 Big Idea 4: Series (BC) AP Calculus AB and AP Calculus BC Instructional Approaches 24 I. Organizing the Course 26 II. Linking the Practices and the Learning Objectives 27 III. Teaching the Broader Skills 33 IV. Representative Instructional Strategies 37 V. Communicating in Mathematics 38 VI. Using Formative Assessment to Address Challenge Areas 41 VII. Building a Pipeline for Success 42 VIII. Using Graphing Calculators and Other Technologies in AP Calculus 42 IX. Other Resour

FAQs

When is this AP Calculus AB/BC curriculum and exam description effective?

It is the revised edition effective Fall 2016.

What updates does this version include?

It adds additional information on completing free-response questions (pages 45–46) and corrects an error in a sample exam question on page 83, where the series now begins at 1 (n=1) instead of 0 (n=0).

What does the document cover for the AP Calculus exams?

It provides exam information, sample exam questions for both AP Calculus AB and BC, and the associated answers and rubrics, including multiple-choice and free-response sections.

Sep 20, 2026

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