I gave my students a take home exam over spring break. (This is normal where I teach) One of the questions was particulary difficult. It came down to a factor of three in the solution. That factor inexplicably appeared with no justification on many of their exams. I intend to have the students I suspect of cheating come to my office to solve the problem on the board. What would you do?
Edit: I gave them the Tuesday before spring break until the Thursday after. I didn’t want it to be right before or right after.
When I say normal I mean giving take home exams.
Seems like people are missing the part where you said “this is normal where I teach” and just judging you for a take home exam. Anywhere I’ve been to school has an office for handling academic dishonesty. I’d consult with them, even if only to protect yourself.