Instead of "activities".... what about her joining a club of some kind????
That is of, HER interest????
When I was a kid, I was in the 4-H club. It was good. Not a "lesson" or "class." But a social thing too and shared common interests. And I learned, a lot from it.
Are there 4-H clubs in your area???
Or what is your daughter... into?
Maybe a Lego Robotics club?
Gardening club?
Reading club?
Art group?
For some kids, these things are more enriching... than the standard "lessons" or sports that all kids have to take or that the parents want them to take. And it can be an ENJOYED respite and fun... for the child.
It not being a "lesson" or "class." Hence, they get a break and a nice downtime...although it is a learning experience as well.
Remember, things a kid is enrolled in, does NOT have to be a sport. Like everyone else.
And, nothing is going to be enriching for her or enjoyable, unless the child wants to, do it.
ie: I had to take piano when I was a kid. All parents feel music lessons are good right? Well, I HATED it. We had a piano at home. I hated it. I would, literally, vanish and runaway when it was time for my lesson. My parents would drag me over there. Finally, after 2 years old that, they let me quit. But you know what??? I DO know music and can read music and can play music. Why? Because, when I was in middle school, I took band and *I* chose my instrument. And I liked it. And practiced. And I was good. I therefore, learned... about music. And lots more.
Or have her do volunteer work.
At something that will take kids her age and that she is interested in.
For example, every summer, our local parks & rec summer fun program, allows middle schoolers or high schoolers, to volunteer... to be a "youth leader." And they, help with the younger kids in the program. And they are trained and under the rules of the program and are screened and can be youth leaders, if they qualify. Many of these teens, like working with kids. And hope to be teachers one day. For example.
BUT the overall main thing as well is:
That the child have enough and adequate time... to do, homework. And school work. Which for us, is the priority for our own kids.