Final answer:
The name of the big lake in Tenochtitlan where the chinampas are made and played a crucial role in Aztec agriculture and society is Lake Texcoco.
Step-by-step explanation:
The name of the big lake in Tenochtitlan where the chinampas are made, and it played a crucial role in Aztec agriculture and society, is Lake Texcoco. The Aztecs surrounded their island capital of Tenochtitlán with raised planting-beds called chinampas on floating platforms in this lake. It allowed them to carefully control soil fertility and watering, resulting in high agricultural productivity.