The only thing that varies is how the money is raised. In districts with higher property values, more of the money is provided through state controlled property taxes. In districts with lower property values, the state directly provides more of the money. The net amount of money remains the same, depends only on the number of students in the district, and is controlled completely by the state. But There are other sources of revenues for schools.
Many districts have an Operating referendum, and or bond issues.
Each district is allowed to have an operating referendum. This allows a district, with approval of it's residents, to supplement the funding it gets from the State. The community votes for the referendum which lasts for five years. This allows additional property taxes to be levied which can be used by the district with no strings attached. Most districts either have or try to have operating referendums in place, at least at some level.