My 10 year old Daughter got into Lego Robotics this past year. Her team cam in 2nd in the regionals and 5th in State. It was the first time a first year team scored that high in a State competition. Here is a web page I put up for the team.
They are responsible for developing an idea and then putting together a research paper on the subject. The other half of the competition is to have the robot perform a set of tasks. It is amazing what these kids can do. As a kid I was just trying to get my plastic models built without destroying them.