So it's like you're both teachers?
Let us be clear about something: relationships should not in any way influence your work. I hope you are aware that you are not allowed to show you have a reationship with another teacher and that if you two have argued at home, the argue shouldn't continue at work.
This means, you may go out with her as you like, but from 9 to 5 you must act like complete strangers. Maybe smiling. But you must watch out what you're doing. Because students aren't stupid and rumors run like hell.