Farragut's offense kept the Admirals in the game for most of the first half but the defense couldn't stop Nick Myers and the Rebels.
Myers finished with 331 passing yards and six touchdowns. The senior also rushed for 99 yards.
The Rebels scored on the first drive of the game when Myers connected with Cody Carroll.
Farragut answered on their first drive of the game with a Jackson Fain 59-yard touchdown run to tie it.
Maryville took the lead right back with a 51 yard touchdown toss and catch from Myers to D.T. Bailey.
With Maryville up 17-7, Farragut's Ryan Glintenkamp forced a fumble on the first play of the second quarter and teammate Nick Henningsen recovered. Farragut took a shot deep on the next play and Thomas Barnett hauled in a pretty pass from Bryan Phillips to cut the lead to three.
Shawn Prevo had trouble handling the ensuing kickoff, but once he scooped the ball up he found a seam and took off up the left sideline for a touchdown to kill Farragut's momentum.
The Admirals weren't rattled and commenced a 16-play, 74 yard drive that ended with a two yard touchdown pass from Phillips to Barnett.
Myers and the Rebel offense could not be stopped, however. Maryville capped the first half scoring when Myers hooked up with T.J. Kimble to extend the lead to 38-24.
The offenses kept rolling in the second half but Maryville kept the Admirals at a distance and cruised to the 60-41 win, their 37th in a row.
Farragut falls to 3-5 on the season. The Admirals' streak of eight straight playoff appearances could be in jeopardy. They will need to win their final two games against Lenoir City and William Blount to have a chance at sliding into the postseason picture.
The Rebels (8-0) will play the same two schools as they go for their second straight undefeated season.