I'll take a guess at number 2. Whiteface. It is dedicated to the 10th Mountain Division. There is a monument, given by the people of Italy, near the top of the lift on 'little whiteface'. It's not this picture but a rock from Italy with a plaque on it. The rock comes from Riva Ridge, site of one of their most famous battles. There are a dozen or more trails named Riva Ridge around the country, the most famous at Vail. The picture could also be from Ski Cooper in Colorado, near Camp Hale where the mtn. troops trained. There is a Cat Ski operation called Chicago Ridge there. I've skied it.
Number 6 is Snowshoe Thompson, who carried the mail in Tahoe for 20+ years, and that's a California flag so it is definitely Tahoe on the Calif. side. I'll guess Sugar Bowl.
Lastly, here is a dead giveaway for you,http://media.signonsandiego.com/general/media/images/winterchecklist-mammoth-p.jpg