You can mix and match.
Grades K-4 you can homeschool, then send them off to the prison complex after that (jk).
Really tho, I think homeschooling is more important during the formative years, to lay (a) a good foundation of problem solving, and read/write basics and (b) their formative years is when they are most susceptible to big-gov brainwashing...by the time they are grade 5 or 6 they have developed a pretty good "BS detector" and far less able to be influenced by outside sources.
As quick aside on the notion "sending your kids to school". Its fairly insane if you think about it....If I told you that to make sure your computer was operating normally our society had a plan to come around every morning at 8am and collect your computer where we brought it a warehouse and "tuned it" and return to you at 3pm....you would outright refuse and think it was an insane suggestion. Yet we do it with our kids....