Nothing especially groundbreaking here, though maybe there’s something interesting in the use of examples to cover this territory. The next…
Intro to Right Triangle Trig with the Tangent Function
I start my unit by asking students to compare the steepness of ramps. We don’t start the unit with a…
Finding stationary points
Expressing a^x as a power of e
I like this example because it shows how worked examples can be used to help students make sense of a…
Chain Rule for Exponentials
This is just a bit sloppier than I’d like. But the core idea is to draw similarities between polynomial and…
Basic Integration
I tend to teach integration towards the beginning of the course. Here is an early example. I tend to default…
Derivatives with fractional exponents
For this one, I tried to structure the steps. I wanted to make explicit that there are two distinct stages.…
Derivative of Multiplied and Divided Factors
For this one, I left the final step off. I figured my students could figure that out on their own…
Basic Derivative Mistake
The example below comes from the Mathematics Enhancement Programme. But — oh no! — a mistake. (I use these materials…
Beginning Derivatives
This is when we’re trying to get good at using the power rule while making explicit how to juggle the…
Mathematics with Worked Examples 
