Can you help me brainstorm a solution to this stupid facebook dilemma?

One of my teachers wants to communicate by Facebook, even though our school has online platforms for forums and posting links, etc. I find Facebook repellant for numerous reasons, and got rid of mine years ago because of harassment from ‘friends’ and relatives.

If I created a facebook just for this class, could I use a fake name or nickname? Does it make more sense to use my real name but make it “Private” or something? I really don’t want people from my past to be able to find me. Any suggestions are appreciated. I haven’t been on there in years and forget how it works. Thank you.