Besides the actual reading in class of many poems, I would suggest you do two things: first, while teaching everything you can and keeping free of it, teach that poetry is a mode of discourse that differs from logical exposition.
“I think we match up with anybody because our pitching. In a short series you run your big three out there or four out there. That generally is what wins a series - pitching and defense. If we can catch the ball and not give away any runs like we do sometimes.”
“There's something about death that is comforting. The thought that you could die tomorrow frees you to appreciate your life now.”