At this age, I rather try to get in tune with the initiative that comes from the kid. She may already have some projects that may benefit from your [measured] participation.
Alternatively, I'd try to find something fun for myself, and then would try to see if there's a room in it for the kid's effort.
All in all, the pre-teen/teens want to know that their choices are respected (no matter how self-contradicting these may be).
At this age, I rather try to get in tune with the initiative that comes from the kid. She may already have some projects that may benefit from your [measured] participation.
Alternatively, I'd try to find something fun for myself, and then would try to see if there's a room in it for the kid's effort.
All in all, the pre-teen/teens want to know that their choices are respected (no matter how self-contradicting these may be).