By definition, a map is a flat-surfaced pictorial representation of the earth. Using the idea of a map as a point of departure, chart your daily route from where you live to the school, your job, visit friends, get ice-cream, etc....
Use one element (footprints, cars, tiers, confetti, candies, circles, lines, etc..) to create implied lines that will map your movements during a day.
If you are not comfortable to use Adobe Illustrator - use cutouts from magazines and hand draw the rest of the elements.
Consider incorporating elements associated with maps, such as a legend, a compass, or visual topography.
There are no limitations on the use of color or media.