High pressure will settle overhead of NC through Tuesday. The sky will clear with lots of sunshine. 

Then, a reinforcing shot of colder air will move into the region behind a cold front for midweek. 

Look for a chance of precip to overrun the colder air by late-week. Snow and a slight chance for ice are in the forecast possibly. 

It will be even colder as we head into New Year's weekend with teens for lows and 30s for highs.