This is a new experience for me. For the 2014-15 school year, I piloted a calculus class that I designed an updated version of the calculus class that used to be offered at our high school, but had been dormant for several years.
I would absolutely LOVE your feedback, especially the constructive variety. I mean that… please.
So, feel free to look around, take whatever you want. Anything that isn’t mine, a link will take you to the author’s site. Anything that is mine is all Creative Commons licensed. Send back any improvements.
Also, keep in mind, that in my current assignment, I am not scheduled to teach this course in the foreseeable future. So, while I will add updates, sites, and activities that I run across, the newer ones will have my recommendation because they look awesome, not because I used it in my class and it went great.
This is ALWAYS under construction. So check back periodically. I’m sure there will have been updates.
These have been put together with an amazing amount of help from Sam J. Shah (@samjshah). I cannot thank him enough. Much of what you see is his material which he freely shared with me. He has given me permission to share whatever of his that you see here. All of the handouts for Unit 1 came from what he has provided me. All I did was rearrange some of the images and reformat the headers. Many thanks again.
Unit 0 – Welcome Back Problem Solving (The first week back… warm-up for the brains)
Unit 1 – Functions and Limits
Unit 2 – The Derivative
Handout 2 – Derivatives Prequel
Handout 3 – 100m Position – 100m Velocity
Handout 4 – Position to Velocity Graphs
Handout 5 – Tangent Lines
Handout 6 – Binomial Theorem and Velocity Practice
Handout 7 – Drawing Instantaneous Velocity
Handout 8 – Derivative Graph Matching
Handout 9 – Intro to Derivative Functions
Handout 10 – Exploring Derivative Functions
Handout 11 – If I were in the Upper Peninsula…
Unit 3 – Introduction to Derivative Rules
Handout 1 – Introduction to Wolfram-Alpha
Handout 2 – Discovering Derivative Rules
Handout 3 – Application of Derivative – The Soda Can Problem (Thanks University of Nottingham)
Handout 4 – Power Rule Practice
Handout 5 – Derivation of the Product Rule
Handout 6 – Product Rule Practice
Handout 7 – Derivatives Problem-Solving
Handout 8 – Trigonometry Review
Handout 9 – Right Triangle Trig Review Problems
Presentation – Trig Derivatives Proofs (Thanks James Kratky)
Handout 10 – Trig Derivatives Practice Problems
Presentation – Chain Rule Proof (Thanks James Kratky)
Handout 11 – Chain Rule Practice Problems
Unit 4 – Advanced Differentiation
Handout 1 – Introduction to Implicit Differentiation
Handout 2 – Implicit Differentiation Visually
Handout 3 – Introduction to Related Rates
Handout 4 – Infection!
Handout 5 – Introduction to Graph Shapes
Handout 6 – Graph Shapes, Extra Practice
Handout 7 – Absolute Max and Min
Handout 8 – Max and Min Problem-Solving
Handout 9 – Optimization Problem-Solving
Handout 10 – Draining Water Problem