The key principle of plate tectonics is that the lithosphere exists as separate and distinct tectonic plates, which float on the fluid-like (visco-elastic solid) asthenosphere. The relative fluidity of the asthenosphere allows the tectonic plates to undergo motion in different directions. This map shows 15 of the largest plates.  Note that the Indo-Australian Plate may be breaking apart into the Indian and Australian plates, which are shown separately on this map. This is a cropped version.
http://pubs.usgs.gov/publications/text/slabs.html
USGS; cropped by User:RIMOLA