Sewing felt to stretchy fabric?

I'm trying to make a dance costume by sewing felt shapes onto a unitard. I'm thinking that I should pin the shapes to the unitard while it is being worn (no shapes will go over elbows, knees, or other joints), and then tack on the shapes with a few well placed stitches at the center of each shape to allow for stretching to still occur. Does this plan seem feasible?