Hi Carol:
I usually do something similar, especially with quizzes. As each one finishes, I pick up their quiz and begin grading it, then pick up a couple more, grade those, and so forth. Optimally, I'm finished grading within a minute of when the last students turns in their quiz. This works best with short answer or fill in since these don't take long to grade.
Students do appreciate getting instant feedback.
Regards, Barry
