Well, I'm not keen on the idea that there is one set of activities which are suitable for girls and a different set of activities which are suitable for boys.
I try to give my girls the idea that they can be engineers, scientists, astronauts or dragon-tamers if they want to be when they grow up, and not limit their options to female-stereotype careers such as beautician or manicurist. So I try to give them opportunities to play in ways that in the 1950's would have been considered 'boyish' - and then it's up to them what they actually choose (and it's ok with me whether they choose to play with trains or play with dolls) .
- Kids should decide for themselves what they think is fun. Why put these limits on play?
- Play matters. Children need a wide range of play to develop different skills. ...
- The real world has moved on. These gender stereotypes are tired and out of date.
Let Toys Be Toys - For Girls And Boys: Why It Matters
So the obvious answer is to say that you should do with her whatever things you did with your son at that age. But I realise that's not necessarily a helpful answer! So - some suggestions:
Activities related to things she's interested in
With one of our daughters that was ballet and drama, with our other daughter it was steam trains and racing cars. Either way is good.
The actual activities could be anything: making things, drawing or painting, role-play, playing with toys, going on trips...Activities relating to things that you're interested in.
It's really fun sharing an adult interest with a small child - if you have an enthusiasm then it can really rub off on them.Dinosaurs. Everybody loves dinosaurs. :)