Is the sentence natural to you?
"I taught two units."
So something like unit can follow teach? Thank you so much for your help and time as usual.
If a course is divided into several units, it make perfect sense that someone might teach one unit and another person might teach two.
I'm not a teacher, but I write for a living. Please don't ask me about 2nd conditionals, but I'm a safe bet for what reads well in (American) English.