Yep all of that is super interesting, and I've seen some people on YouTube make it that interesting but I rarely saw any examples like that in all my time in uni. When I first learned calculus the professor drew the speed of the car on a graph, and said how far did it travel in this time? Well it's the area under the curve. Instantly connects it to something tangible and useful, rather than saying "the derivative is the slope of the line at this point." I learned what a binary tree was and sort of how to make it, but I essentially had to relearn it anyway when I actually came across a situation where I needed it.