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Well i did FLVS to and it all depends on what you cheated on. If its a test then they give you a zero for the test and same as a quiz and assignment. This rarely happens but if its something big or you did it multiple times then the teacher drops you but that rarely happens. Just dont do it again because next time you might get caught.
Aside from OS regulations; Not sure how you "accidentally" cheat, but if you're in sixth grade and realizing this, you're way ahead of a lot of people. Long as you learnt from your mistakes, and are willing to learn/ do it yourself next time, you should be fine. You're only in sixth grade, don't worry and you shouldn't be. This will not affect your future much haha, at least you realized you made a mistake right? That's all that matters, you have a long way ahead, so keep learning and don't worry about it too much. Note I am not telling you that this is right, but these online schools are sort of lame, I know how hard it can be to learn via online especially at such a young age where you should be having interaction with a teacher. If you're really worried, you should tell your teacher/ who ever is in charge of the online course, the truth, and maybe they will give you a rewrite.
6-8th grade are prep for high school. Don't fret over this now and live your life. I'm sure at least 99% of us in elementary/middle school have cheated at least once. That's just how you learn.
I agree with @Aureyliant. Don't worry about it. Everyone has cheated at least once. I've done it in the fifth grade over some Campus Police Officer test thing that wasn't even related to the subjects that I'm supposed to be learning. I just got off with a warning. :P that incident had no effect on my college application at all. Colleges look for high school transcripts and SAT scores. Or, just do what I did and go community college, graduate, and then go to university to avoid the SAT test. However, cheating is not tolerated at all in college and if caught, you'll be expelled. Though, I think in recent years it has been lax a bit. It seems that if you cheat the first time, you'll get a 0, and for the second offense you'll fail the course. Everyone makes mistakes and people learn from them.
If the school becomes aware of this then yes it does go on your permenant record, however it will not effect college choices unless A: it was a Major Offense B: Is a REPEAT offense