My 17 y.o niece does this (and has been for about three years since she first came up with the idea) ... she is home for the most part, but attends the local high school for science labs and math class because she wants to be a veterinarian, and my sister is a radical unschooler, so she wanted a bit more focus in these areas.
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We have an option in this city to register with a homeschooling support program (through the school district) that has a classroom component and a home component. Your child can attend all the time, none at all, or a few days a week. It's more of a gathering place for homeschoolers, and some families like to send their kids there for one day a week with the same group of families. Makes sense? The 'teacher' is there to help formulate lesson plans or help to achieve goals or hook you up with resources, or brainstorm ideas. Unless we unschool, we are obliged to register as a homeschooler, which requires 'attaching' your family to a school, so this is the one we'd probably be connected to.Â