Thank you for completing the entire game and also for the feedback.
When I playtested the game later I also felt that the movement related levels are just a lot. Because of time constraint instead of removing levels I just added the next button. Also as there was no one to consult to, so I just thought its best to keep them.
As for the derivation, that was the core idea and I feel quite bad that I couldn't complete it. Derivation was more of a design challenge as it has quite a lot of parts like scale factor, similarity etc. Portraying them in a way that is easy to understand but sill intuitive was quite difficult to do.
But thank you for your time and constructive criticism.