They do have activities for children who are staying there. Due to the logistics of opening up the activities to those not staying there this is not possible. Pretty soon they would be overwhelmed.
Check with your resort about activities there. There is so much to do at Disney World unless you mention the activities at the Polynesian your DD will not miss it.
There is a wonderful petting zoo at Fort Wildnerness Campground she might enjoy. There are 2 minature golf courses, bikes, horseback riding, boats, and time at the pool. All resorts organize games at the pools.
Also Epcot offers kids programs at the World Showcase.