Unfortunately, there is no free market in K-12 schooling. Government schools are price-fixed cartel giving a service away at tuition-free. They are compulsory attendance for students whose parents can not ransom them and compulsory funded by the tax-payer. This guarantees customers and funding. They are also a socialist-entitlement. Finally, they are tax-paid minor leagues for the biggest professional sports.
Government schools suck the oxygen out of the room of the free market.
That is part of the answer; but, for it to work well one would first have to go with a complete voucher system. Not just for poor minorities; everyone gets a voucher. Then, schools compete for your child (and their voucher) and parents would then be able to choose a school that would fit their child best.
Needless to say, the teacher's unions would never allow it.
There are private schools there. Catholic schools.