Powderhorn, near Grand Junction, always has the beginner chair, E-Z Rider, available for free. Beginners can also always ski Printerboy at Ski Cooper near Leadville for free. This is also a great place for parents to take their kids for some practice at perfecting their technique. It's nice and wide with a gentle pitch. It runs from just outside The Jane's base lodge down to the Utah Junction parking lot.
Bathrooms are at the top of the run, too.
Free lessons Winter Park has more good deals out there. Between Nov. 29 through Dec. 17, if you have an adult lift ticket, you can take a beginner ski or snowboard lesson for free. Kids' lessons are two for one, which means either two lessons for the same child for the price of one, or you can take two children for the price of one. That includes lift ticket, all-day supervision, lunch and a progress report. Equipment rental is extra.