Education Technology
AB2

Resources for this module

Find videos, documents and calculator files (as needed) to aid in your teaching of questions found on the AP® Calculus exam.

Videos

The videos below are divided into two sections: resource and technology. In the resource videos, you’ll find information on scoring, common misconceptions and techniques for approaching topics in the released free-response questions. The technology videos show the tech solutions available using your graphing calculator.

Resource Videos

These videos present the solutions, relevant AP® Calculus concepts, and typical scoring guidelines and interpretations associated with specific parts of the mock 2020 AP® Calculus exam. The detailed solutions emphasize the AP® Calculus mathematical practices and skills and include a reasonable expectation of how each would be scored.

2020 AP® Calculus AB2 Solutions, Concepts and Scoring Guidelines: Parts A–B

Free-response question AB2 involves a tabular stem, and the problems discussed in this video involve local linearity, a tangent line approximation and the slope of a secant line as an approximation to the slope of the tangent line.

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2020 AP® Calculus AB2 Solutions, Concepts and Scoring Guidelines: Parts C–E

Free-response question AB2 involves a tabular stem, and the problems discussed in this video involve the units attached to derivatives, the average value of a function over an interval and the Fundamental Theorem of Calculus, Part 2.

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2020 AP® Calculus AB2 Solutions, Concepts and Scoring Guidelines: Parts F–H

Free-response question AB2 involves a tabular stem, and the problems discussed in this video involve Riemann sums, specifically midpoint Riemann sums, the definition of a definite integral and displacement of a particle over a time period.

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2020 AP® Calculus AB2 Solutions, Concepts and Scoring Guidelines: Parts I–J

Free-response question AB2 involves a tabular stem, and the problems discussed in this video involve the relationship between differentiability and continuity, the Intermediate Value Theorem and the Mean Value Theorem.

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Technology Videos

Free-response questions with graphically presented functions have appeared regularly on AP®
exams (both AB and BC) over the last 20 years. Analyze functions using graphical information
on Texas Instruments graphing calculators with examples from the mock 2020 AP® Calculus AB exam.

TI-Nspire™ CX CAS graphing calculator

This video illustrates the use of the TI-Nspire™ Lists & Spreadsheet functionality, along with scatterplot graphing, to analyze a particle moving along a vertical line, with velocity values at selected times given in a table.

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TI-84 Plus CE graphing calculator

This video illustrates the TI-84 Plus CE graphing calculator Lists and Statplot functionality to analyze a particle moving along a vertical line, with velocity values at selected times given in a table. The TI-84 Plus CE line drawing functionality is featured.

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Downloads

The “PDF slides” zip file contains slides of all the resource videos referenced above. If any calculator files are needed, they will also be available.

Calculus units

Content in this question aligns well with the AP® Calculus units 2, 4, 5 and 8.

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