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 BC1 Solutions, Concepts and Scoring Guidelines: Parts A–B
Free-response question BC1 involves a graphical stem, and the problems discussed in this video involve critical points, the First Derivative Test, concavity and inflection points.
2020 AP® Calculus BC1 Solutions, Concepts and Scoring Guidelines: Parts C–E
Free-response question BC1 involves a graphical stem, and the problems discussed in this video involve the Fundamental Theorem of Calculus, net area, arc length and the Intermediate Value Theorem.
2020 AP® Calculus BC1 Solutions, Concepts and Scoring Guidelines: Parts F–H
Free-response question BC1 involves a graphical stem, and the problems discussed in this video involve properties of the definite integral, L’Hospital’s Rule, the Product Rule, the Fundamental Theorem of Calculus and the Chain Rule.
2020 AP® Calculus BC1 Solutions, Concepts and Scoring Guidelines: Parts I–L
Free-response question BC1 involves a graphical stem, and the problems discussed in this video involve the volume of a solid with known cross-sectional areas, integration by parts, Type 2 improper integrals and Taylor series.
TI-Nspire™ CX CAS graphing calculator
This video illustrates how one can practice analyzing and interpreting function behavior of both derivatives and antiderivatives using the capabilities of the TI-Nspire™ CX graphing calculator. Graphing the derivative and a definite integral function of a given function (illustrating the Fundamental Theorem of Calculus) allows students to self-assess their own analysis. An example of a function giving rise to an improper integral is included.
TI-84 Plus CE graphing calculator
This video illustrates how one can practice analyzing and interpreting function behavior of both derivatives and antiderivatives using the capabilities of the TI-84 Plus CE graphing calculator. Graphing the numerical derivative and a definite integral function of a given function (illustrating the Fundamental Theorem of Calculus) allows students to self-assess their own analysis. An example of a function giving rise to an improper integral is included.
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 1, 5, 6 and 8.
