LAWRENCE, Kan. -- Jared Butler speaks with the confidence that comes with being on the No. 4 team in the country. And why not? His Baylor Bears haven't lost since Nov. 8, they've knocked off five ranked teams along the way and they are off to a great start in Big 12 play.

Not even No. 3 Kansas and its hallowed hardwood of Allen Fieldhouse can faze the Bears these days.

Butler scored 22 points, MaCio Teague added 16 and Baylor upset the Jayhawks 67-55 on Saturday for the Bears' first win in 18 tries in Lawrence.

"This year, you know, we came in with the expectation to win, the expectation to do great things,'' Butler said. "And it shows when you expect to win versus just trying to survive."

Freddie Gillespie added 13 points for the Bears (13-1, 3-0 Big 12), who snapped a slew of ignominious streaks with their victory in Lawrence: They beat a top-five team on the road for the first time in 22 attempts; they won their fifth consecutive game against a ranked team for the first time in school history; and perhaps most importantly, they took down Kansas (12-3, 2-1) in their personal house of horrors for the first time since the building opened in 1966.

"I knew at some point Baylor was going to win up here, and I was just hoping I would be a part of it," Bears coach Scott Drew said. "Really pleased it was with this group because they've worked extremely hard."

Isaiah Moss scored 15 points, and Marcus Garrett had 11 for the Jayhawks, who lost leading scorer Devon Dotson to an injury for a long stretch midway through the contest and could never solve the Bears' league-best defense.

Kansas was 4-of-15 from beyond the arc and committed 14 turnovers, which Baylor turned into a 21-2 edge in points off turnovers. The result was the Jayhawks' second loss to the Bears in their past 15 meetings.

"That's a really good team," Kansas coach Bill Self said. "And our ball and body movement was awful. There was just no rhythm offensively. I was disappointed."

The two Big 12 heavyweights spent the first 10 minutes of the game sizing each other up, and the Jayhawks opened a brief 20-15 lead before the Bears -- Teague and Butler, in particular -- finally asserted control.

Teague began a 22-4 run to close the first half by beating the shot clock with a 3-pointer. He turned the same trick a few minutes later, right after Butler knocked down a 3 and added a jumper of his own. The quick flurry forced Self to call the first of two fruitless timeouts in the closing minutes of the first half.

The second timeout came as the Bears were hitting seven straight field goals to take a 37-24 lead into the break.

Making matters worse for Kansas? Dotson appeared to tweak his hip or oblique down the stretch. He played on and began the second half, but he grabbed his side 30 seconds in and immediately returned to the locker room.

The Jayhawks still made a run without the Big 12's leading scorer.

Holding the Bears to a pair of field goals in the first 10 minutes of the second half, Kansas slowly managed to trim its deficit. Udoka Azubuike's alley-oop dunk got the Jayhawks within 41-36, and Ochai Agbaji's acrobatic layup a few minutes later provided an answer to yet another 3-pointer from Teague.

But the Jayhawks misfired on plenty of opportunities to get closer. Garrett committed his fourth turnover with a chance to make it a one-possession game, Moss air-balled a 3-pointer and the Bears collapsed on easy looks in the paint.

That's when Butler and Teague refused to let another Baylor lead dissipate in the Phog.

The sophomore guard and his junior running mate, who together carried the Bears to 11 straight wins, began to score at will on the offensive end. They attacked the basket against the Jayhawks' vaunted big men, dropped a series of open 3s to silence another sellout crowd and seemingly willed the rest of Drew's team to the finish line.

Even when Dotson returned to the game, the Jayhawks struggled to find their mojo. The Bears answered every bucket by Azubuike with one of their own, and they kept harassing Garrett into mistakes on offense and silly fouls on defense.

The Bears' lead eventually swelled to 60-44, and all they had to do was nurse it the rest of the way.

Baylor had been 0-3 in matchups in which both teams were ranked in the top five, with two of those losses coming to the Jayhawks. Add that to the streaks that were broken on Saturday.

The Bears were efficient on offense, going 8-of-19 from beyond the arc along the way, and they committed just five turnovers in a peerless offensive performance.

"When you've been in the Big 12 long enough, every game, you can't get too high or too low. They're all worth the same,'' Drew said. "At the same time, I know to our fans, it means a great deal. Any time you beat a top team in the country, it's a great win, let alone a conference team. Being able to do something we haven't done up here, I'm happy it's this group."

In Baylor's 12-game winning streak -- the country's third-longest active run -- Butler has been the team's leading scorer six times, and he is now averaging 13.3 points in conference play.

Kansas, meanwhile, failed to get Azubuike and fellow big men David McCormack and Silvio De Sousa involved in the game, often throwing the ball away while trying to dump it down low. The result was a stunning 28-26 deficit in points in the paint, something few teams will be able to accomplish against the Jayhawks this season.

The Associated Press contributed to this report.