I should also add, to address the "very active" part:
My DS started wearing glasses in 2nd grade. He is a very active kid - he spends the summer at an all-outdoor camp, running through the woods, climbing trees, building forts. He plays soccer and is going to start tennis this spring. Glasses have not been an issue at all. He hasn't lost them, he hasnt' broken them. The new frames stay on faces very well, and the new lenses are very scratch-and-chip resistant.
Despite being a bookish girl, *I* was very active. I was also outside, running and playing and scrapping all summer. The only pair I ever broke (and these were old-school *glass* glasses) got dropped and stepped on when I purposely took them off. I played sports throughout Jr. High including basketball and volleyball and never had a problem.
My dad has been a tennis player for 50 years and a coach for 40, all in very thick glasses.
There really is no correlation between not wearing glasses and being active or sporty. You can be as active as you want to be while wearing glasses. Wearing glasses will not prevent you from being active, and glasses are not a risk factor during activity. And *not* wearing glasses is not going to *help* activities, since allowing eyesight to get worse will only harm athletic performance of most sports!