Well, maybe you could go into more detail on what you consider rudimentary. Maybe it's sufficient, maybe not. To me, at a rudimentary level, you should at least be able to create a simple game yourself right? You should be able to create a tic tac toe game or a pong game.
But this probably won't be enough to keep your students interested. The next level up would be creating basic types of games such as space shooters (like Galaga) and platformers (like Mario). Or maybe even a simple turn-based rpg.
If you can teach students up to this level, then you'll have given them enough learning for their own minds to come up with novel games. But if you don't understand how to do this yourself and expect your students to somehow learn this on their own, then that would be doing them a disservice.