Mr V's Math Stuff

A review of derivatives in the AP Calculus AB/BC course: average rate of change, definition of the derivative, equation of a tangent line, differentiability, derivatives of basic functions, product rule, quotient rule, chain rule, and derivatives of inverse functions. This document has 15 different forms, and each form allows the student to convert the numerical answers to a unique secret phrase.

A review of applications of derivatives in the AP Calculus AB/BC course: rates of change in real-world context, related rates, and implicit differentiation in real-world context. This document has 15 different forms, and each form allows the student to convert the numerical answers to a unique secret phrase.

A review of derivative analysis in the AP Calculus AB/BC course: intervals of increase and decrease, critical points, points of inflection, relative maximum and minimum, absolute maximum and minimum, Mean Value Theorem, linear approximation, tangent lines and concavity with parametric functions. This document has 15 different forms, and each form allows the student to convert the numerical answers to a unique secret phrase.

A review of limits in the AP Calculus AB/BC course: graphical limits, numerical limits, analytical limits, continuity, and trigonometric limits. This document has 15 different forms, and each form allows the student to convert the numerical answers to a unique secret phrase.

A review of derivatives of parametric functions in the AP Calculus AB/BC course: position vector, velocity vector, acceleration vector, particles at rest, speed, slope of tangent line. This document has 15 different forms, and each form allows the student to convert the numerical answers to a unique secret phrase.

Self-assessing practice: 35 different forms! Find the missing numerators when separating a rational expression into partial fractions. The numerators are then deciphered to spell out a common phrase. Secret phrases for all forms are listed at the end of the document.

A review of derivatives of polar functions in the AP Calculus AB/BC course: converting between rectangular and polar coordinates, linear equations in polar form, derivative of r with respect to theta, slope of a tangent line, horizontal tangent lines, vertical tangent lines. This document has 15 different forms, and each form allows the student to convert the numerical answers to a unique secret phrase.

Typically, in BC Calculus, the topic of Series Convergence is one of the last concepts taught. This topic can be quite overwhelming for students, especially since it is somewhat disjoint from the rest of the big ideas of calculus. To ease the burden of this daunting unit which is usually not even introduced until well into the last quarter of the curriculum, I have created a collection of “Series of the Day” questions. This introduces students to the general ideas of convergent and divergent ser