Grant Teaff graduated from Snyder High School in 1951. While in high school, Grant lettered in football, basketball, and track. He was first team All-District in football.

Grant continued his football career at San Angelo Junior College and McMurry College where he graduated in 1956.

Coach Teaff was the head football coach at McMurry University, Angelo State University, and Baylor University. His overall 30-year record as a college head coach is 170-151-2. He was ranked No. 2 in wins of active Division 1-A coaches when he retired in 1992.

Coach Teaff was inducted into the College Football Hall of Fame in 2001.