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