You can try writing an essay about the good and bad of school and why you want to homeschool. I've been homeschooled my whole life and never been enrolled in school, and I still have a lot of friends. There are actually a lot of co-ops that you can join that are for homeschooled kids, and they have classes you can take. My co-op also does field trips and we go to the park after our classes. If your parents still say no, you can join a group, like a sports team, or you can learn how to play an instrument. I do girl scouts and thats how I met one of my best friends.
Your teachers are probably tired, and they get grumpy. You can try to be nicer to them or try not to break rules. If you don't do any rule breaking, it's probably someone else making your teacher mad. If you miss your friends, see if you guys can get together after school or on the weekend. Even if they were in your classes, you wouldn't be able to talk much because you would get in trouble with your teacher. I go to a teachers house with some of my friends and she teaches us. One thing she taught us was about how we should only hang out with people who make you feel valued. She showed this with plastic water bottles. If you buy a water bottle at a supermarket, it's not going to cost much. But if you go to a theme park, and you run out of water, your'e going to be willing to pay more without realizing it, and at an airport, where your'e not allowed to bring water from home, you will pay a lot for a water bottle. The water was the same quality and size, but depending on where it was bought, it was valued as more because of how much you wanted it. Same goes with your friendship circles. You should make friends with people who value you the most, where your opinion is valued.
I hope this helped you out.
