This comes up fairly frequently in Homeschool land.
Because its MURKY.
There are many different options.
1) Parents are homeschooling their own children legally, but are farming out classes. MOST homeschoolers do this. ESP at upper levels. (Including RunningStart / Dual enrollment programs. The teen takes all their classes at the community college ... To either transfer to Uni as a Jr., or to use as their highschool transcripts.) Whetger its 100&200 level college course, drama, biology, game design, soccer... The parents are 100% responsible -legally- for their child's education. Personally I "farmed out" about half my son's education with outside classes/camps. I ALSO taught classes on a quarterly basis at the local community center. A&P, and MicroBio for 6-12yos.
1a) If you want to teach individual classes like this that parents sign up for... Do keep in mind you need business licensing & tax info.
2) Parents hire their child's education out either via a governess or private tutors. These laws vary state to state. Sometimes this counts as homeschooling, sometimes it doesn't.
3) Homeschool Co-OP. these run in a LOT of different ways, and have different laws that apply, depending on the state. Some: parents trade teaching. Some have regular parent teachers. Some have hired specialty teachers. Some are purely taught by outside staff.
4) Parents send their children to a private school. Even if its a school of TWO several states require that if you're teaching other people's children on more than a casual basis that you be licensed as an actual school. And in TWO states (last I checked) all homeschool families have to register as actual private schools.
... There are other options, but those 4 main branches cover most. What you're out lining could be in any of those 4... Depending on how you set it up and your state laws
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The Greater Seatlle Area has over 20,000 registered homeschoolers. Many "out if work" teachers, and many homeschoolers teach a primarilly targeted homeschooling demographic privately via option 2 (As I did). Those who do it full time often clear 100-200k per year. Just teaching THREE clasess, I made more than I could make as a PS teacher (no benefits, obviously). In addition to the "school day" demographic, full times teach evening/weekend classes to allow those who attend Awayschool, but cannot afford a good private school, to supplement their child's education.
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http://homeschooling.gomilpitas.com/directory/Legalities.htm
http://www.hslda.org/laws/
These will probably be your two best resources in starting your research
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Not fighting my phone anymore... Whatever grammar me bestest / fat finger/ autocorrect mistakes are left, stand.
- Homeschooler for 5 years