I homeschool, and I live in their area. What you have to remember, is homeschool families can teach what takes 7-8 hours in school, in 1-4 hours at home. We don't have all the nonsense and time sucks that public school has. (Waiting for class to calm down, waiting turns for all 20-25 kids, waiting in line, passing periods, class interaction takes forever, etc etc.) Kids learn very little of the day in public school. Most of the day is spent managing and tedious tasks. (Not that I'm knocking public school. I care that kids get an education, period.) If you took all the work you child does in one day of school, it would fit into probably 1/4 of the time they spend there. You might look at my son and say he runs all over the place with no over-site. In reality, he is 2 grades ahead of what he would be learning in public school, and far surpasses test scores and social maturity. Yet, we only "school" 1-3 hours a day. The rest is our time, art projects, nature learning, hanging out with friends, and learning in the real world. Also, he does math and science when dad gets off work. That leaves even more time during the day.
To be clear, I'm not getting defensive. It's just really hard for someone to understand, when you haven't homeschooled yourself. It's quality of time, not quantity of time. I have NEVER (and I know a ton) have met a homeschooling family, that just lets their kids run allover. Every so often there is a family that says "we homeschool" and really, they just don't give a crap. That is truly not often. TH's mom worked fulltime, that is NOT homeschooling. A parent is present and guiding their child's education for homeschooling, not working out of the house all day.