Far to the east of teatihuacan , on the yucatan peninsula , another major civilization had arisen. This was the civilization or the maya , which Flourished between A.D. 300 and 900. It was one of the most sophisticated civilizations in the americas. The maya built splendid temples and pyramids and developed a complicated calendar as accurate as any existence in the world at that time. The maya were a farming people who cleared the dense rain , forests , developed farming , and centered their culture in city-states.