This person is in charge of the school
Principal
You do this when you have done amazingly well in something (usually a test or a school subject)
To pass with flying colors
This happens when you try prepare yourself to an exam by learning a lot very quickly
To cram for an exam
This happens when you fail a course and you have to leave school
To flunk out
This is your progress written on a piece of paper (or presented digitally). It's shown periodically (bimester, semester etc).
Report card
This happens when you should go to class, but you don't
To cut class
A person who reads a lot
Bookworm
This is something that you do when you give your homework to your teacher
To hand in
