Maps are made by the Runners everyday after they run through the Maze in an effort to find a way out to escape the Maze. They are kept in the Map Room in the Glade. In the Maze Runner film, the Runners build one big map of the Maze using twigs and small branches along with other similar objects. They write each Section of the Maze on a rock and place it in it's proper place.
Maps are helpful in understanding the patterns of the Maze. Thomas traces the maps onto wax paper and places each section on top of another, which results in him, Teresa, Newt, Minho, and the others working out the code.