Baylor has been a one-hit wonder in each of Guy Morriss’s first two seasons.

In the coach’s first Big 12 Conference game two years ago, the Bears stunned two-time reigning North Division champion Colorado by scoring five touchdowns in less than 18 minutes. Last season, it was a 35-34 overtime shocker over then-No. 16 Texas A&M.

“We’ve proven we can rock on and upset some good football teams,” Morriss said. “Then we come back and revert to our normal selves.”

Instead of building on those monumental victories, the Bears followed their lone Big 12 victories the past two seasons with decisive losing streaks.

Baylor lost seven games in a row by an average margin of 37 points to end the 2003 season. After beating the Aggies for the first time since 1985, Baylor lost its final three games by 26 points a game.

“You can’t live off that one win from last season,” said Morriss, 6-17 at Baylor.

“We know we can play with teams like that. We have to do it on a week-in, week-out basis, not one upset a year,” said junior quarterback Shawn Bell, whose first start last season was in the Texas A&M game. “Our main mission is not to be a one-time deal.”

While the Bears haven’t had a winning record since 1995, the season before the Big 12 was formed, their goal this season is to make it to a bowl game. To accomplish that, they will have to do something they’ve never done: win more than one Big 12 game.

Baylor is just 6-66 in conference games in the league’s nine seasons.

While its football team has been the Big 12 doormat, Baylor claimed 2004-05 conference titles year in baseball, women’s basketball and men’s and women’s tennis. The Lady Bears even won the NCAA basketball championship, and the baseball team played in the College World Series.

“Our kids don’t want to be the ugly ducklings any longer,” Morriss said.

“Pretty much, we all have the same core base of fans. They’re waiting on us to do what those other teams have done,” linebacker Colin Allred said. “This is a football area, all about football. They’re just waiting on the football team to do what the Baylor Bears did in the ’80s with Grant Teaff.”

Eight of Baylor’s 16 bowl appearances came under Teaff, who had 128 victories over his 21 seasons (1972-92). The Bears’ last postseason appearance was in the 1994 Alamo Bowl.

Dane King was Baylor’s starting quarterback for seven games before suffering a broken hand last season, then transferred to NCAA Division Two Henderson State. The Bears still have two quarterbacks with starting experience: Bell and sophomore Terrance Parks, the starter in the season finale.

Bell probably will start the season opener Sept. 3 at SMU. Parks missed the final week of spring drills with an injured finger on his throwing hand, though that hasn’t bothered him in preseason workouts.

“Last year gave me another year to get ready,” said Bell, who also started Baylor’s final two games his freshman season. “Last year, I wasn’t as mentally sharp. Now I have a better understanding of the packages, and the games I started did give me a lot of confidence.”

The only Baylor running back who has started a game is junior Paul Mosley. He had only one start, but rushed for 528 yards and four touchdowns in 11 games last season.

Dominique Zeigler is the top returning receiver with 55 receptions for 536 yards and five touchdowns. Trent Shelton had four TDs among his 38 catches last season.

Baylor has eight returning starters on defense, including all four players in the secondary. But they need to be a lot better than last season, when they allowed 421 yards and 37 points a game.