It is a part of the Glendale Union High School District.

It was named after John Campbell Greenway, a mining engineer and United States Senator.

Designed by Rossman Partners the buildings were constructed exclusively of metal with minimal ornamentation.

Defco Construction Company of Tucson was general contractor who built the school.

[3] Greenway High School offers a small variety of advanced placement classes, as well as honors and dual enrollment.