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1.
Instead of staying after school for extra-curricular activities you stay for sextra-curricular ones. Which usually involve a teacher, a student and a desk. Often related to trying to get sextra credit, but it can just be for the heck of it.
Student 1: Are you catching the bus tonight?
Student 2: Nah, I've got to stay behind for some sextra-curricular activities or else I'm going to fail geography.
by Rotutsu April 30, 2011
 
2.
Having an affair, specifically one that exists almost solely for sex.
His girlfriend thinks they're in a monogamous relationship but she is completely unaware of his sextracurricular activities.
by iowabuckeyes January 11, 2010