The Aztec Indians Aztec Indians, who are known for their domination of southern and central Mexico, ruled between the 14th and 16th centuries. Their name is derived from Azatlan, the homeland of the north. The Aztecs also call themselves Mexica and there language came from the Nahuatlan branch of the Uto-Aztecan family. The Aztecs were formed after the Toltec civilization occurred when hundreds of civilians came towards Lake texcoco. Late families were unfortunate and were forced to go to the swamp lands. In the swamp lands there was only one piece of land to farm on and it was totally surrounded by more marshes