Field notes
Move the curve first
A calculus lesson can begin with something you can change.

I made Derivanto as a gift for my wife. The examples come from climbing, psychology, memory, and design: things she cares about.
You can move a point, change a curve, or add rectangles under a graph before getting into the notation. Most figures are custom SVG and canvas components, with Toñelo nearby.
For each figure, I needed a question that connected what you see with the math. The interaction and explanation needed to make sense together.