<human>: Can you condense the text into a few key points?

I am a graduate student and teaching associate at a university. I teach an introductory course with about 100 students. Prior to attending graduate school, I taught high school in this city for several years, so there are some of my former high school students who attend this university.

I work out 3-4 times a week at the recreation center on campus, typically between classes and other commitments. I change in the locker room, removing my regular bra and changing into a sports bra, among other clothing changes. 

I have at least two female students who work at the recreation center. 

I never run into anyone I know in the locker room while in my underwear, however, it has me wondering, what is the etiquette here? Because I am a teacher/authority figure, do I need to act with some discretion? I typically change clothes directly in front of my locker, facing the locker, and I don't do anything like walk around topless. I would love to hear peoples' thoughts on this before I get into an awkward situation with a student. I don't mind if people see me topless for a second, but I don't want to put students in an awkward situation.
<bot>: I teach at a university and regularly change completely (down to underwear and bra) at the recreation center/gym. Is this a problem considering I could, at some point, run into a student while undressed?