In Ys 10 & 11 at my last school there was a great variety of sport type activities, including dancercise and kick boxing. But there should not be any suggestion that sport is not for girls. As for majorettes.....ugh!
I hated every minute of games and PE at school - coupdn't see the point of it. But I have learned so much from DDiL1 (the team GB athletics coach and former PE teacher) about attitude to sports. She says that what needs to be inculcated is "body confidence" i.e. trusting your body to do things; this leads to awareness of your body and its capabilities, and thence, one hopes, to a good body image. Obviously, some young women just have this, but many don't. Her two DDs have it in bucket loads! Bit late for me, I feel. 