Tying property taxes to school funding is designed to cause this outcome, it's not a mistake. The majority of US history involves actively harming the poor through policy.
A common myth - federal and state governments supplement school funding to roughly equalize per-pupil expenditure. See my other comment: https://news.ycombinator.com/item?id=47357203
A common myth - federal and state governments supplement school funding to roughly equalize per-pupil expenditure. See my other comment: https://news.ycombinator.com/item?id=47357203