BY IRA KAUFMAN

The Vegas oddsmakers favored the Bears in large part because Tampa Bay was playing at home Sunday, but that smile on Dirk Koetter’s face said it all after a 36-10 rout of the Bears. On a day overflowing with Buc takeaways, here are 10 more goodies to mull over:

* After demoralizing efforts against a pair of high-powered offenses, defensive coordinator Mike Smith turned aggressive. Blitzing linebackers Daryl Smith, Lavonte David and Kwon Alexander attacked with abandon. The result was four sacks, seven QB hits and a revived pass rush that hounded Jay Cutler into mistakes all day.

* Remember the draft pundits who questioned Jameis Winston’s mobility coming out of Florida State? I hope they watched the pirouettes and spins he displayed before firing a 39-yard strike to Mike Evans on the opening drive of the second half.  With all due respect to Buc cheerleaders, those were the most entertaining dance moves of the afternoon.

* This Cameron Brate stuff is getting surreal. Undrafted tight ends out of Harvard aren’t supposed to have 35 catches and five touchdowns through nine games. Credit GM Jason Licht for plucking Brate off the New Orleans practice squad 14 months ago. By the way, Brate caught all seven passes Winston sent his way Sunday.

* Some Buc teams of the past would have dwelled on Cutler’s 50-yard Hail Mary touchdown pass on the final play of the half. Instead of moping, Winston confidently directed a 77-yard drive that restored Tampa Bay’s 14-point lead and informed the Bears this wasn’t going to be their day. That’s the kind of mental toughness Buc fans have been clamoring for.

* Don’t fret about Doug Martin’s final numbers — 16 carries for 33 yards. He looked understandably rusty after missing six games, but Martin looms as a vital presence in the stretch run. He’ll play better in Kansas City, where the surging Chiefs hope to go 5-0 at home.

* This was not a game to put in Demar Dotson’s scrapbook … and he knew it. The longest-tenured Buc struggled at right tackle against Pernell McPhee and Willie Young, and Winston wasn’t protected particularly well by a makeshift offensive line that yielded four sacks. Since 2012, the Bucs had been 2-24, when allowing more than two sacks.

* Chicago’s offense was shackled except for that unforgivable desperation pass that gave the Bears brief life going into the half. Chris Conte, who played a strong overall game, was one of the culprits for failing to bat down Cutler’s throw. The next time the Bucs are in that situation, I expect to see the 6-foot-5 Evans line up at the goal line with orders to seek and destroy.

* That Hail Mary pass was a fluke, but there were no gimmicks attached to Sunday’s only win by an NFC South club. In the final three quarters, the Bucs registered 21 first downs and 330 yards in 59 snaps — while the Bears posted 10 first downs and 187 yards in only 35 snaps.

* Defense still rules the day in Tampa. The Bucs are 8-1 in the past two years when holding their opponent to 20 points or less. Chicago’s first seven possessions yielded two punts, four turnovers and a field goal. Cutler looked bewitched, bothered and bewildered and it didn’t help when right guard Kyle Long went out with an ankle injury.

* Everyone on Tampa Bay’s defensive front had a turn in the sun. Tackle Clinton McDonald returned from a four-game absence with a sack, a tackle for loss and two QB hits. End Robert Ayers made a significant contribution with 1.5 sacks, a forced fumble and three QB pressures while rookie Noah Spence added a sack and a forced fumble. “When those guys get after the quarterback, it really makes our job easy,” Conte said. Let the big dogs hunt.