I would take a close look at your state's code for education. I actually called my state rep's office for information on partial hs regulations and they were very helpful.
I read both the state's code and the school board's actually policies when looking into this.
It's important to know what factors are measured for promotion to the next grade.
I would think you could make a reasonable argument for material mastery if you have your child take whatever test the school uses each year, like the ISAT, here.
And maybe see if you can get someone in the school district help you to find information. Maybe you'll get someone nice who will be willing to help to make sure you get the right info.

Realistically, the public schools have to take em back, right? If you live in the district and pay taxes.........