I teach AP Calculus AB using Matt Boelkin’s tremendous Active Calculus text. Here are a few resources I have created or adapted. I’m in the process of translating 2016 Active Calc references to 2017 references. New ones will have 2 decimal points).
Desmos Activity Builders
Rates and Averages – Some of these questions are very specific to how I start the year. This is right at the very beginning, setting up the idea of a shrinking time interval.
Just a few speed graphs – These were used at the start of the year to play with some movement situations. The prompts were adapted from Exeter’s Math1.
Just a little h – This activity introduces the idea of using h in an difference quotient as a setup for the limit definition of the derivative (which is not in this activity).
What’s your limit? – Students use a graphical and numerical approach to evaluate limits. In one slide, students must try to use tables to find limits for a function they cannot see (graphically or algebraically).
What’s your limit pt 2? – Short continuation from above.
AC Section 1.2 Ex 3 – From time to time, I like to use Activity Builder to grab student responses. This is a quick one.
AC Section 1.3 Ex 1 – With a little extra added in the end on the limit definition.
Daylight Hours This AB is adapted from one of the Desmos curated activities from Joshua Bowman. I tweaked it only a little. This will intro the second derivative by examining what it has to do with the equinoxes.
AC Section 1.6 Intro Intro examples and preview activities from 1.6 (second derivative) along with some card sorts for some of the text.
AC Section 1.6 Ex 4 Just a simple collector for ex 4’s graphs. I added a few random marbleslides due to a long weekend.
Tangent Lines and Linearization This will intro tangent lines, derivatives on desmos, and local linearization. It uses activity 1.21 from Active Calculus.
Predict with Calculus Students will use linear approximations to predict function values. They will use the second derivative to examine how accurate an approximation may be.
Exponential Derivatives Students will discover the only (nontrivial) function that is its own derivative. Adapted from https://www.desmos.com/calculator/7kend6oocs, which I did not write and don’t know who did!
Finding Maximums and Minimums Adapted from Active Calculus Preview Activity 3.1.
Implicit Differentiation Can be used as a paced intro to implicit differentiation.
Extreme Value Theorem Several examples develop the conditions for the EVT.
Related Rates Adapted from Active Calculus Preview Activity 3.5
Graph Races Introduction to using the area under a velocity curve as a distance traveled measure. Thanks to the Desmos Fellows and teaching faculty for help editing this one.
Rain in Maine Preview to Riemann sums and review of sigma notation.
Riemann Sums Left, Right, and Middle Riemann sums are used to approximate change of position. Adapted from Active Calculus Activity 4.5.
Biking from Lake Macatawa to Grand Haven Change in position and distance traveled. Adapted from Active Calculus Section 4.1 Ex 1.
Accumulation Function This was written by Desmos and edited slightly by me.
FTOC I: Mosquitos on Tropical Island This introduces the FTOC Pt 1.
Volumes of Revolution Introduction; I used this paced screen by screen.
Volumes of Revolution Pt 2 Adding washer cross sections
Slope Fields Introduction to slope fields