New Jersey school districts have started to announce closures and schedule changes ahead of a winter storm expected to hit the state with widespread amounts of 3 to 6 inches of snow and light glaze of ice from a change to a wintery mix starting Monday night. The National Weather Service has issued winter weather advisories across the entire state. Sleet and freezing rain could mix in with the snow in some areas of the Garden State, creating a dangerous glaze of ice on untreated roads, highways and walkways overnight and also through the Tuesday morning commute. “Plan on slippery road condition…