I think unschooling is about integrating learning into life, and not separating the two at all. Everything Rain does is learning. Unschooling is about not valuing certain kinds of learning over other kids - schools and society tell us that solving algebraic equations is important and knowing how to harmonize isn't, that writing an essay matters and creating an imaginary Fairy World doesn't... it's not true. It all matters.
Our unschooling days look very structured, at least during rehearsal periods, and even without rehearsals Rain now takes 3 weekly dance classes and is part of a choir that meets weekly. That's what she wants to do. She doesn't have much of a concept of school or lessons. OTOH, she wants to start taking community college classes in a few years, and wants to test into a math class she can take for credit, so we have a set of Key to workbooks she occasionally picks up and works in. For her, it's no different than working on some new choreography she wants to master - it's all learning or all life, however you look at it. And if she'd rather learn math another way, we could do that, or she could decide to forget about the college stuff and not do it at all... I don't know what will happen. And it's all her, and it's all okay.
Single mom to Rain (1/93) , grad student, and world traveler