Be part of the park district programs or rent a rowboat on a lake for the afternoon. Go window shopping in a town with different types of shops. Visit your county fair and local festivals. There are exhibits and parades to watch. Be a part of your community fun.
Most museums have a free or reduced price day.
Visit an art, children's, or science museum. Maybe your child would like to go to a planetarium or aquarium. Don't try to conquer the whole museum in one day. Think about what your child can handle. Swim at the local pool or at the beach.