There are many places to visit and are of tourist attractions, all these places have "free" days where entrance fee will not be collected on these free admission days. Some of the free Chicago Attractions are Buckingham Fountain, Chicago cultural center, Lincoln Park Conservatory, Lincoln Park Zoo and Millennium Park.
In addition, Chicago also has a number of events that are free to watch and enjoy like the Chicago Air and Water Show, Movies in the Parks in August, Chicago Summer Dance Festival, American Fest, Art Loop, Chicago Carifete, Chicago Dancing Festival, Chicago Mass Monthly Bike Ride and Free Food Buffet.
Free Events in Chicago
http://chicago.metromix.com/events/roundup/free-chicago-events/510128/content
Some of the ways to reduce the cost while visiting various places in Chicago or while having fun in sports is getting Citypass that will allow you gain entry into six of the city's biggest attractions for use within nine days. This will include Adler Planetarium, Art Institute, Field Museum, Hancock Observatory, Museum of Science and Industry and Shedd Aquarium.
Go Chicago Card is a free admission card for nearly more than 25 tours and attractions at one price; in addition, also gives discounts and offers on prices from selected retailers and restaurants.
Discount Cards for Visiting Chicago
http://attractions.uptake.com/illinois/chicago/242256703.html
A free tour to Chicago greeters will also allow you to have a signature lunch in the lounge in the 95th floor of this building.
Chicago Greeters
http://www.chicagotraveler.com/attractions.htm
The best way to make the most of your trip to Chicago is to visit the visitor's center in Chicago before planning your entire day out.