AP Calculus AB Exam
Calculus AB is a course in single-variable calculus that includes techniques and applications of the derivative, techniques and applications of the definite integral, and the Fundamental Theorem of Calculus. It is equivalent to at least a semester of calculus at most colleges and universities, perhaps to a year of calculus at some. Algebraic, numerical, and graphical representations are emphasized throughout the course.
So that students might better appreciate the connections among various representations, it is assumed that they will have access to graphing calculators in class and on homework. To that end, and to shift the emphasis from mere computation to a deeper understanding of concepts, graphing calculators are required on portions of the AP Examination.
Prerequisites for the student include two years of algebra and a year of geometry, plus a strong background in elementary functions and their graphs, including trigonometry (usually gained in an additional course called precalculus or college algebra). Attitude prerequisites include a willingness to work both in and out of class, a willingness to collaborate with classmates to foster mutual understanding, and a sincere intent to place out of the first semester of college calculus rather than repeat it.
Calculus AB is a course in single-variable calculus that includes techniques and applications of the derivative, techniques and applications of the definite integral, and the Fundamental Theorem of Calculus. It is equivalent to at least a semester of calculus at most colleges and universities, perhaps to a year of calculus at some. Algebraic, numerical, and graphical representations are emphasized throughout the course.
So that students might better appreciate the connections among various representations, it is assumed that they will have access to graphing calculators in class and on homework. To that end, and to shift the emphasis from mere computation to a deeper understanding of concepts, graphing calculators are required on portions of the AP Examination.
Prerequisites for the student include two years of algebra and a year of geometry, plus a strong background in elementary functions and their graphs, including trigonometry (usually gained in an additional course called precalculus or college algebra). Attitude prerequisites include a willingness to work both in and out of class, a willingness to collaborate with classmates to foster mutual understanding, and a sincere intent to place out of the first semester of college calculus rather than repeat it.
Study Guides
AP Calculus Exam - Miscellaneous Study Topics
** Sign Charts and an Analysis of the Graph of f'
** Required Justifications for a Table Question, A Tangent Line Question, a Point of Inflection Question, A Concave Up/Down Question, a Relative Max/Min Question, a 1st Der/2nd Der Question from a Chart, and a Continuity Question.
** AP Study Sheet #1 (Tables & Slope-Fields)
** AP Study Sheet #2 (Accumulation Functions)
** AP Study Sheet #3 (Limits & Area/Volume)
** AP Study Sheet #4 (Related Rates & FTC Does the Twist & the Integral
** AP Study Sheet #5 (Particle Motion & the Graph of f')
** Sign Charts and an Analysis of the Graph of f'
** Required Justifications for a Table Question, A Tangent Line Question, a Point of Inflection Question, A Concave Up/Down Question, a Relative Max/Min Question, a 1st Der/2nd Der Question from a Chart, and a Continuity Question.
** AP Study Sheet #1 (Tables & Slope-Fields)
** AP Study Sheet #2 (Accumulation Functions)
** AP Study Sheet #3 (Limits & Area/Volume)
** AP Study Sheet #4 (Related Rates & FTC Does the Twist & the Integral
** AP Study Sheet #5 (Particle Motion & the Graph of f')
Free Online Resources for AP Calculus AB
Barron's Test
A free online AP Calculus practice test from Barron’s. Once you start you can choose between Calculus AB and BC. Includes multiple choice and free response.
High School Test Prep
Free AP Calculus AB multiple choice questions to help you prepare for your exam. There are 10 unit tests which cover the major topics of this course, followed by a full-length AP Calculus AB practice exam. Answers and detailed explanations are included with all of the practice questions.
Kaplan Test Prep
5 Online Practice Questions for AP Calculus from Kaplan Test Prep.
CrackAP.com
55 Online MC Practice Tests as well as Resources to download.
A free online AP Calculus practice test from Barron’s. Once you start you can choose between Calculus AB and BC. Includes multiple choice and free response.
High School Test Prep
Free AP Calculus AB multiple choice questions to help you prepare for your exam. There are 10 unit tests which cover the major topics of this course, followed by a full-length AP Calculus AB practice exam. Answers and detailed explanations are included with all of the practice questions.
Kaplan Test Prep
5 Online Practice Questions for AP Calculus from Kaplan Test Prep.
CrackAP.com
55 Online MC Practice Tests as well as Resources to download.
AP Calculus AB Test Tips Playlist
Worksheets
Open Ended AP Questions WS #1
This worksheet deals with Average Acceleration/Average Rate of Change and Velocity & Acceleration
Open Ended AP Questions WS #2
This worksheet deals with the Graphs of f and f' and Related Rates
Open Ended AP Questions WS #3
This worksheet deals with Charts for f' and f double prime
Open Ended AP Questions WS #4
This worksheet deals with Average Rate of Change and Analyzing the Graph of f'
Open Ended AP Questions WS #5
This worksheet deals with Analyzing the Graph of f'
Open Ended AP Questions WS #6
This worksheet deals with Riemann Sums & Average Rate of change.
Open Ended AP Questions WS #7
This worksheet deals with Riemann Sums and Implicit Differentiation.
Open Ended AP Questions WS #8
This worksheet deals with Slope Fields and Differential Equations.
This worksheet deals with Average Acceleration/Average Rate of Change and Velocity & Acceleration
Open Ended AP Questions WS #2
This worksheet deals with the Graphs of f and f' and Related Rates
Open Ended AP Questions WS #3
This worksheet deals with Charts for f' and f double prime
Open Ended AP Questions WS #4
This worksheet deals with Average Rate of Change and Analyzing the Graph of f'
Open Ended AP Questions WS #5
This worksheet deals with Analyzing the Graph of f'
Open Ended AP Questions WS #6
This worksheet deals with Riemann Sums & Average Rate of change.
Open Ended AP Questions WS #7
This worksheet deals with Riemann Sums and Implicit Differentiation.
Open Ended AP Questions WS #8
This worksheet deals with Slope Fields and Differential Equations.
