In the course I'm currently teaching, I give out assignments which the students do and submit for me to later review and comment on. They either pass this task, or they need to revise their work. They are not graded on this work, it's basically just a hurdle they have to jump over.
What would be the proper word for what I do in this? I'm not really grading the assignments, which otherwise would be the natural choice (i.e. if it were an exam). Is "correcting assignments" a valid expression? Or "reviewing"? Or something else?