I don't think schools will allow it in that way (trading) because that will be considered as teaching kids some gambling. I don't think schools will dedicate a special subject to bitcoin because they are also a part of this central governmental authority (that does not simply like the idea of cryptocurrencies). However, in 2015 I was a taking International Financial Markets course and there was a special subject in the syllabus related with bitcoin. I believe that has already gone deeper.

On the other hand, I cryptography is an official subject in many tech schools (related to information technologies), and I believe topics on bitcoin will play a key role in those subjects in the future!