I agree with wondergirl.
My daughter is 8 now. We tried a home based online public school for her fr a while. which made me her teacher for all intents and purposes. Fights were daily because she, like your daughter, hated to be wrong, and hated to be corrected.
So with advice from her actual teacher, i backed off. and only offered help if she asked. and if she asked, and then threw a fit, i stopped the help.
try telling her that you will not help her unless she asks for, and accepts the help.
also, make sure that her teacher, and you as well, are NOT instilling the need for perfection in her at such a young age. my daughters kindergarten teacher, made it clear that she expected perfection and it drove my daughter to anxiety attacks and OCD. once we switched to another kinder teacher, one who expected them to try their best, but not perfection, and it went MUCH better.
Good luck! Hope i helped!