However, after he suffered a concussion while tackling 215-pound Bangs High School running back Jacoby Jones (not to be confused with the Baltimore Ravens wide receiver of the same name), his father decided not to let him play defense anymore.
The season opener saw Mc Coy lead the Longhorns to a 56–7 victory over North Texas, throwing for three touchdowns and rushing a yard for another, while throwing no interceptions.
He was 12-19 in passing, and ran for 27 yards to help set up a touchdown.
Ohio State defeated the Longhorns 24–7, ending the Longhorns 21-game winning streak. On October 25, 2006, he was 9th in the nation with a quarterback rating of 165.4.
Following wins over Rice, Iowa State, and Sam Houston State, Mc Coy got his first win over a ranked team, as well as his first come-from-behind victory, when he led the Longhorns over rival Oklahoma 28–10 in the Red River Shootout. The previous record of five touchdown passes had been held by James Brown (set vs. In the 2006 Oklahoma State game Mc Coy threw for his 27th passing touchdown of the season, giving him sole possession of the single-season Texas record and putting him two touchdowns shy of the NCAA single season record for freshman quarterbacks (29).
He has also been a member of the San Francisco 49ers.