The system, of course, absolutely hated us.
Original thinking in teaching?! Why would they hate you?...
Edit: I did a couple of terms part time at a FE college not a million miles away from me to help out during a staff shortage, ostensibly to teach music. First day there they asked me if I could run a couple of math classes too...luckily for them I could. It's just the sort of thing you would ask an arts teacher though isn't it. They probably have physics teachers doing modern dance.