My teacher is being completely dishonest and i have to APOLOGIZE?

If you HAVE to say sorry say something like Oh, I'm So sorry, but the thing is you don't believe me, I feel very discriminated, just because you always catch me doing things, doesn't mean I am nothing but a liar. Keep going on with stuff like that to make him feel terrible. I have a teacher sorta like that but he is a math teacher, but I don't get in trouble, since I don't talk a lot. But I think you and your friend should stop talking a lot, and talk less, then he won't bug you.