If a school district takes federal money, then they have to dance to the Fed tune. Many, many school districts can't survive without Federal money without raising property taxes.
By design I suspect. The number I've heard but haven't verify is that public shools on average receive about 8% of their funds from the feral gummint. That's not much, but apparently enough to make the locals toe the line. To the detriment of schooling generally, I submit.
I daresay I went to schools that didn't receive a dime of feral monies. This was of course a long time ago. Regardless, the federal leviathian has been usurping state and local constitutionally guaranteed authority almost since the beginning. One of the ways to pull that off is by confiscating taxes from our paychecks and spreading it around to agreeable parties. Those that would fill our future generations' heads with mush never sleep.