This meteor shower reaches its peak in the predawn hours of Jan. 4 for eastern North America. The Quadrantid meteor shower is a very short-lived meteor display, whose peak rates only last several hours. The phase of the moon is a bright waxing gibbous, normally prohibitive for viewing any meteor shower, but the moon will set by 3 a.m., leaving the sky dark for a few hours until the first light of dawn; that's when you'll have the best shot at seeing many of these bluish-hued meteors.
From the eastern half of North America, a single observer might count on seeing as many as 50-to-100 "Quads" in a single hour. From the western half of the continent the display will be on the wane by the time the moon sets, with hourly rates probably diminishing to around 25 to 50 meteors.