Your approach to teaching the principle will teach someone the math/trig behind the process, but it will never really teach anyone
how to reach orbit, and see the difficulty of achieving a stable circular orbit.
My approach however, will allow someone to download Orbiter: Space Flight Simulator from this website:
ORBITER Download and then they can actually
apply what I've said/discussed, in order to successfully reach LEO manually, and see for themselves the difficulty of achieving a stable circular orbit, as compared to the relative ease of an elliptical one.
Ergo, we see two different approaches here--your approach is purely for the sake of
distributing information, which is all good, and I respect your knowledge in that. However, my approach seeks to actually teach someone how a rocket/spaceship can reach LEO (or any other body in the solar system for that matter) using a highly accurate, freely available simulator.