I don't know how you define a "tough teacher". I'm just going to go with... A jerk who never leaves you alone, always trying to find something to start trouble with you. Well, I've got a teacher that won't leave me alone. I do my work and don't do anything but sit and learn.
So, what's his problem? Honestly, I don't know.
The only solution is to just sit quiet and do the work, and hope the period ends soon. Talk to a counselor. If that doesn't work. Just don't say a word.
Silence can often be misinterpreted, but it can't be misquoted. That's what my pastor says, and he's right. The teacher can yell at you for being silent, but if you don't say a word to him, he can just get angry with you but can't use it against you in any way. When asked a question, answer simply. It gets annoying, but don't go off getting into bigger trouble by telling him "HEY, GUESS WHAT... YOU'RE WRONG! HA, GOTCHA!", followed by losing your head, knocking things off tables and toppling chairs.
Easier to go with the "Just nod and smile." Technique.
I hope I helped but, again, I have no idea the EXACT problem you're facing.