How about this:
Create charts with individual goals to achieve. Some of theseĀ could consist of physical tasks, such as
“Run 100 metres in less than 20 seconds”, or
“Hit a set target with a ball”, or
“Walk six yards, balancing a book on your head”, or even
“Catch a baby tomato with your mouth”
You know, just to get them moving and build confidence…
The other tasks could be geared towards building character:
“Lose a game, and be the first one to smile afterwards”, or
“Teach another team member something new”, or
“Teach your coach something new”, or maybe
“Congratulate the winning team with a celebratory song, together with your team mates”
Some tasks could be the same for all the girls, some created individually. You know the kids pretty well, I’d guess – maybe the girl who is always starting fights could have “Say sorry, and mean it.” on hers. If the tasks aren’t the same for all the kids, it’s not as likely to become a competition.