Pay close attention to East and West, North and South designations when looking for an address in Chicago. State Street is one of the most important north-south thoroughfares, and is the dividing line for the city's east/west addresses (e.g., an address on West Randolph Street is west of State Street, and an address on East Randolph Street is east of State Street). The El's Red line runs along State Street. Madison Street is the dividing line for Chicago's north/south addresses.
North of the Loop, you will find Navy Pier, which stretches out into Lake Michigan. The Magnificent Mile is also north of the Loop, in the area known as Near North. This famous shopping district extends along North Michigan Avenue, from the Tribune Tower (on the south end of the Mag Mile) to the Water Tower, which is just above Chicago Avenue. Just a few blocks above that stands the John Hancock Center, a notable landmark at 1,127 feet. The John Hancock Center and the Water Tower are both in the Gold Coast, which stretches from Chicago Avenue up to North Avenue. To the north of that is Lincoln Park; the park itself is the gorgeous green space along Lake Michigan, and the neighborhood is the upscale residential area across Clark Street from the park.
On the other side of the Loop, in the South Loop, you will find the Adler Planetarium, the Field Museum of Natural History, the Shedd Aquarium. These three are all on the "Museum Campus," the green area in the south of Grant Park. The historic Printer' s Row and Dearborn Park neighborhoods are further inland in the South Loop.