I have never been married to my daughter's father. However, our custody order states that he has a right to know where she receives medical care, attends school, etc. He has no bearing on the decision making that goes into where she goes though. I would keep communication strictly to email so you can remain organized. Notify him of events monthly by requesting the information from her school or teacher and forwarding it. Leave him their contact info if he has questions.
As far as medical information--I would limit it to significant information. If he really wants to know details, he has a legal right to her medical files as long as she is a minor, and he can contact their offices directly.