Same goes for gloves. When you come out of the game and at half time, cover up and stay warm. Watch out for the wind. The wind can make the cold much worse. Be aware of the dangers of frostbite and prevent it.
Frostbite can be a problem even here in NC when it's cold and windy.
Be aware of post-exercise hypothermia. Hypothermia can kill. It can develop rapidly after exercise because heat production has ceased and heat loss due to sweat, etc. is still high. Get covered up, get into a warm place, and replace fluids to avoid hypothermia. Finally get into dry clothing as soon as possible.