Can a teacher play a Netflix movie in the classroom?

Netflix has a user agreement that says you will use it's service for personal use only. They do have a section on how you can screen their educational documentaries. It also says you can only screen them once.  So you could connect your teacher computer to the projector and use a Netflix account there but only so show specific documentaries. 

You can find out more on how the copyright is interpreted and what Netflix's policies are at the following links. 

About copy write law and Netflix : http://www.library.unt.edu/news/may-one-stream-netflix-video-class-use
Netflix policy on showing movies : https://help.netflix.com/en/node/57695