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 BC2 Solutions, Concepts and Scoring Guidelines: Parts A–B
Free-response question BC2 involves a particle moving in the plane and presents a table of values. The problems discussed in this video involve the speed of a particle and the Net Change Theorem.
2020 AP® Calculus BC2 Solutions, Concepts and Scoring Guidelines: Parts C–D
Free-response question BC2 involves a particle moving in the plane and presents a table of values. The problems discussed in this video involve Euler’s method and the slope of a line tangent to a graph defined by parametric equations.
2020 AP® Calculus BC2 Solutions, Concepts and Scoring Guidelines: Parts E–F
Free-response question BC2 involves a particle moving in the plane and presents a table of values. The problems discussed in this video involve the Chain Rule and the concepts of increasing and decreasing.
2020 AP® Calculus BC2 Solutions, Concepts and Scoring Guidelines: Parts G-H
Free-response question BC2 involves a particle moving in the plane and presents a table of values. The problems discussed in this video involve Taylor polynomials and the distance traveled by a particle moving in the plane.
TI-Nspire™ CX CAS graphing calculator
This video illustrates the use of the TI-Nspire™ Lists & Spreadsheet functionality to analyze a particle moving in the plane with parametric velocity values given in both tabular form (vertical velocity values at selected times given in a table) and algebraically (horizontal velocity values given by an explicit function formula). Euler’s Method is illustrated using the spreadsheet, and the scatterplot graphing is used to approximate the path of the particle.
TI-84 Plus CE graphing calculator
This video illustrates the use of the TI-84 Plus CE lists functionality to analyze a particle moving in the plane with parametric velocity values given in both tabular form (vertical velocity values at selected times given in a table) and algebraically (horizontal velocity values given by an explicit function formula). Euler’s Method is illustrated using the list editor.
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 9 and10.
