Or perhaps we should just even out the funding. Crudely redistributing wealth is a historically very poor way to solve inequality (assuming it is a problem), since it doesn't address the root cause. Investing in education, in particular trades, is an arguably better way. They are practical, have the most bang-for-buck value, and are not time-consuming or demanding.
Perhaps increasing poor working families' wealth is the solution that fits in with our current setup.