I know at that age I was already getting acquainted with the big-O notation and such, and C-pointer arithmetic was already second nature, but it sounds like you are looking for something not-really-CS: so it'd be best if you elaborate on what are you actually teaching a 16 yo student, or what goals does that 16 yo student have?
If it's just about getting someone interested in building programs for themselves, I find the most important thing is to keep the motivation, which means finding a project they care about ("let's sort your gallery into folders"), and Python is an excellent choice for that.
But I wouldn't focus on specifics you mention, because they are so... well, specific to Python data structures and control flow. And then you can use NumPy structures to solve an entirely different set of problems.