I am a math homeschool teacher. I use Pearson curriculum, which is the best, and I give them tests, quizzes, and homework. My class is the same as a public school class. Homeschoolers don't generally like tests, however, they need to start adjusting at the prealgebra level. I'm very relaxed with my classes. If a student does poorly on the test, then I give them a retest. If they are doing really poorly, then I give them take-home tests. I want them to adjust to tests, but I don't let the tests rule them. When I first started, I went to the local public school websites, clicked on the individual teachers' pages, and downloaded their syllabi. They need to cover the same topics add the public schoolers if they want to score well on the ACT and go to college, which is all based on public school curriculum. The parents will judge how well you did based on the students' future ACT math scores. Your qualifications are pointless. Homeschoolers generally only care if you know what you're doing. The parents can't do algebra, so they're desperate for anyone. Parents most likely will not know anything about algebra or what their child needs. The first day of class, I discuss math anxiety and how math isn't hard and how important it is to learn math, then I give them a placement test. Your class should be no more than 5-10 kids. They WILL need one-on-one attention! The hardest part is that a lot of parents aren't big into homework and formal learning. However, you MUST do homework in order to learn math. Be strong when you encourage parents to make them do their work but don't run them away either. It's more about teamwork between you, the child, and the parent all working together. Make sure you have a firm understanding of whether they are unschoolers or academic homeschoolers or regular homeschoolers. Most likely, you'll have different ages, different grades, different levels of math proficiency, and different requirements from parents. It can be stressful, but homeschoolers are notoriously bad at math, so they need you. If you use Pearson curriculum or any other textbook, then you'll assign homework from the book. Worksheets are good too, and there are plenty of websites with fun math worksheets. You must buy a textbook though. I provide textbooks with the cost of my class. Parents like not having to do anything. I have a classroom that I rent. I started out in people's homes. Churches are usually willing to lend a classroom out for the education of children. Go find local math syllabi online! I would've been lost without them!