Allow students to get the full high school experience. There is no reason every student shouldn't be aware of every awesome event your school is putting together.
Integrate teacher pages where students would be able to access notes that teachers work hard to make available. Also integrate any online grade checking system your school may have in place.
The world is shifting to mobile and there is no reason your school should be left behind. Combine a beautiful design with a responsive native app to meet students where they already are.