The "state" money is only accessed by the districts on a matching funds basis, and it's not a 1:1 ratio. More like a 10:1 with the locals putting up the big numbers. Local districts pass construction bond measures (with either a 55% or 67% weighted majority, depending how the measure is structured) with specific schools targeted for reconstruction or renovation. The locals know if the money is really needed for the facilities and are placing a burden on themselves before accessing any state money.
You would think so but in many cases they don't.