at 4 there are two things i had to keep an eye on. a need for expending physical energy AND also a high need for their social and intellectual energy.
with dd just physical was not enough. we had to do a multitude of different activities.
1. dd was sensation craving - so one thing that REALLY helped her was just horsing around - looking at the out of synch child activities book. we did a lot of old fashion play. which included using our furniture as a climbing gym.
2. went on walks. touched bark. stopped and looked at dirt, cracks in teh side walk. at home looked at edges of carpets, how the windows were framed.
3. lots and lots of chores. wiping the fridge door (and then colouring them with markers and washing again). doing dishes. sudsy warm water and tuperwear and spoons.
4. dd also needed crowds. so every 2 or 3 days we'd go somewhere crowded depending on $$$$ - fav. was coffee shop, or bagel place OR just the public library.
5. lots of cuddle time - which kinda happened during horsning around.
i noticed with dd more than running and the park, she really got a workout when she horsed around with my friend and his 3 boys. they would all climb all over daddy - for an HOUR - (I know amazing energy poor daddy had), he would chase them tackle them. so much fun.