When Greenway High School opened in 1972, its total enrollment numbered 824. The school was started in May of 1971 in order to relieve the overcrowding of Moon Valley and Thunderbird. The final completion was in October of 1972, after a cost of approximately $6 million. Greenway High was named after John C. Greenway, a prominent mining engineer and military leader, and his wife, Isabella, who served Arizona in Congress from 1933-1937. Robert Sterrett was the school’s first principal. Greenway opened with 42 teachers.