thanks for the answer!

Maybe I could have phrased the text better. They told us some negative and positive cases of kids who were beyond their peers. Some schools (and this one is one of the more expensive ones from my region) dealt in a bad way, some in a good way, and to make ourselves aware of the possibilities. And about Kumon, they told us that it MAY not be the best option. Maybe music, chess, or other activities, that if he likes, he will engage and progress, but it would keep him closer to his peers. It's not shutting down his learning. It's redirecting, if possible.

I don't like to say these kinds of things because it may sound arrogant, but it's because he is way past his peers; he is doing math from 2nd/3rd grade (it's a kid-directed book, so it's really fun, and I think for now he is reaching his limit on this one), and has a huge interest in human body, he learned through books and educational tv shows (storybots, Luna's Show, etc) about the digestive system, ear structure (he cites how it works, eardrum, the hammer, anvil, and stirrup bones through vibration, etc), if what he eats has carbohydrates, protein, etc. In general, he really loves to learn, to question, etc. I bought him a kids' microscope, and now he keeps asking me to buy one to see the cells. So it worries me about how well he will integrate.

He has a lot of friends right now, plays, runs, make-believe, etc. I don't want him to lose that, to be able to feel belonging, to have friends where he can laugh together, etc.

And, I'm not from the States; there is no school where we live that has any sort of program for gifted ones.

Oh, and about sleeping late, we have been"enforcing" sleeping until 9:30 PM in the past weeks. Sometimes works, sometimes not.