That is pretty much exactly how we are divided up here in the US also.It reads like that. In France you have PE, leisure sports(at all ages) and competitive sports. The later is systematically divided by categories whether it is skills level, sex, weight or age.
Not only that, but schools are divided up into divisions based on enrollment as well. That way you don't have a school like mine (over 2000 kids) going up against a school like my buddy's (450 kids) for a state title.