Drive south (toward Seward) along Turnagain Arm as far as Girdwood and the Alyeska Resort and stop there. Take the tram to the top of Mt. Alyeska and have lunch there. They have special combo tickets for this. Just outside Girdwood, visit the Alaska Wildlife Conservation Center
http://www.alaskawildlife.org and/or
Back in Anchorage, visit the Alaska Native Heritage Center
http://www.alaskanative.net and the Alaska Museum
http://www.anchoragemuseum.org/