When can you get induced?

Lindsay
Hey ladies, I am 31 weeks preg. I am a teacher and just looking at my calendar *trying* to get an idea of how late I will make it at work! I will be 40 weeks on June 3rd (my current due date- but he told me last apt baby is measuring a week ahead). Our last day of school is May 25th. I don't exactly want to be 39 +weeks pregnant and working on my feet all day... So I'm wondering- my last month of pregnancy (and work); when I go to the Dr weekly, can they induce or tell me approx how much longer I will have? Or do I just wait it out and will be completely surprised? This is my first baby so not sure how it all works. Just feeling a little anxious since work and pregnancy both seem to come  to a head at the same time! Thank you...