Atlanta (CNN) The Atlanta Falcons spent 25 years playing in the Georgia Dome , and they saved their best for last.

Led by a four-touchdown passing performance by Matt Ryan, the Falcons ended their tenure in this stadium with their biggest home win in franchise history, routing the Green Bay Packers 44-21 in the NFC Championship Game to advance to Super Bowl LI.

"For the fans, for this city and for the teams that rocked this place for 25 years, we felt your energy from the very beginning," Falcons head coach Dan Quinn said. "So it's only fitting, at the NFC Championship Game, the last game played here, we felt that too."

It will be the Falcons' second Super Bowl appearance. The last time came in the 1998 season, when Atlanta lost to the Denver Broncos in Super Bowl XXXIII.

Their opponent is one very familiar with winning championships. The New England Patriots return to the Super Bowl stage for an NFL-record ninth time after defeating the Pittsburgh Steelers 36-17 at Gillette Stadium in Foxborough, Massachusetts.

Tom Brady threw for 384 yards -- a Patriots postseason game record -- and three touchdowns. Chris Hogan caught two of those scores and set a franchise playoff record with 180 receiving yards.

"There are only two teams left standing, and I'm happy we're one of them," Brady said.

Super Bowl LI is February 5 at NRG Stadium in Houston.

Falcons dominate from the start

The NFC Championship Game was expected to be a shootout, but only one offense -- Atlanta's -- delivered.

The Falcons, who have the top scoring offense in the NFL, dominated from their first possession, with wide receiver Mohamed Sanu scoring on a 2-yard shovel pass from Ryan. It was the eighth straight game Atlanta has scored on its opening drive.

Green Bay, meanwhile, sputtered on its first possession, as Mason Crosby missed a 41-yard field goal.

After a 28-yard field goal by Atlanta's Matt Bryant to make it 10-0, the Falcons' defense recorded its 10th consecutive game with a takeaway as cornerback Jalen Collins forced and recovered a fumble from fullback Aaron Ripkowski with 10:59 left in the second quarter.

Photos: Falcons, Patriots advance to Super Bowl LI Atlanta Falcons owner Arthur Blank holds the George Halas Trophy after the NFC championship. The Falcons beat the Green Bay Packers 44-21 to advance to Super Bowl LI, where they will play the New England Patriots. Hide Caption 1 of 14 Photos: Falcons, Patriots advance to Super Bowl LI Falcons wide receiver Julio Jones catches a 5-yard touchdown pass late in the second quarter against Packers cornerback LaDarius Gunter. Hide Caption 2 of 14 Photos: Falcons, Patriots advance to Super Bowl LI Falcons quarterback Matt Ryan runs for a 14-yard touchdown in the second quarter. Hide Caption 3 of 14 Photos: Falcons, Patriots advance to Super Bowl LI Packers quarterback Aaron Rodgers throws as he is hit by Falcons linebacker Deion Jones in the first quarter. Hide Caption 4 of 14 Photos: Falcons, Patriots advance to Super Bowl LI Packers kicker Mason Crosby misses a 41-yard field goal in the first quarter. Hide Caption 5 of 14 Photos: Falcons, Patriots advance to Super Bowl LI Falcons wide receiver Mohamed Sanu runs the ball against the Green Bay Packers during the first quarter. Hide Caption 6 of 14 Photos: Falcons, Patriots advance to Super Bowl LI Packers fullback Aaron Ripkowski fumbles the ball in the second quarter after contact with Falcons cornerback Jalen Collins. Hide Caption 7 of 14 Photos: Falcons, Patriots advance to Super Bowl LI The New England Patriots beat the Pittsburgh Steelers 36-17 to win the AFC Championship game at Gillette Stadium in Foxborough, Massachusetts, on Sunday. Here, LeGarrette Blount of the Patriots runs against Ryan Shazier of the Steelers in the first quarter. Hide Caption 8 of 14 Photos: Falcons, Patriots advance to Super Bowl LI Chris Hogan, left, of the Patriots celebrates with Danny Amendola after scoring a touchdown in the first quarter. Hide Caption 9 of 14 Photos: Falcons, Patriots advance to Super Bowl LI Patriots wide receiver Chris Hogan scores during the first half. Hide Caption 10 of 14 Photos: Falcons, Patriots advance to Super Bowl LI Patriots defensive back Eric Rowe breaks up a pass intended for the Steelers Cobi Hamilton in the second quarter. Hide Caption 11 of 14 Photos: Falcons, Patriots advance to Super Bowl LI Members of the End Zone Militia mark a Patriots score in the third quarter. Hide Caption 12 of 14 Photos: Falcons, Patriots advance to Super Bowl LI Logan Ryan of the Patriots attempts to break up a pass intended for Cobi Hamilton of the Steelers during the fourth quarter. Hide Caption 13 of 14 Photos: Falcons, Patriots advance to Super Bowl LI Patriots defensive back Eric Rowe celebrates with Logan Ryan after Ryan broke up a pass in the fourth quarter. Hide Caption 14 of 14

A few minutes later, Ryan ran in from 14 yards, his first rushing touchdown since 2012, to make it 17-0.

Fans chanted, "MVP! MVP! MVP!" for Ryan, who threw for 392 yards. Julio Jones had nine receptions for 180 yards and two scores.

"We've worked hard to get to this point, but the challenge is still in front of us," Ryan said. "What we set out to accomplish is still in front of us."

There would be no magic from Packers quarterback Aaron Rodgers on this day.

Backed up on their own 13 on third down late in the first half, Rodgers launched a deep ball that was intercepted by safety Ricardo Allen. Atlanta capitalized, with Jones hauling in a Ryan pass for a 5-yard touchdown just before halftime.

That made it 24-0. In the Rodgers era at Green Bay, which started in 2008, it was the first time the Packers trailed by 24 or more points at halftime.

Rodgers threw for three touchdowns in the second half, but it was too late.

"Playing a team like that, you've got to start faster than that," Rodgers said.

Two months ago, Green Bay getting this far didn't seem possible. In November, the Packers, 4-6 after dropping their fourth game in a row, were in danger of missing the postseason altogether.

But that didn't deter Rodgers, saying then he felt like his team could run the table

That eight-game win streak came to a halt Sunday in Atlanta.

"If this has taught us anything, it's how important that home-field advantage is," Rodgers said. "To be able to sleep in your own bed and practice and not have to travel and have the fan support makes a big difference."

Patriots playoff brilliance continues

With Sunday's win, the Patriots continued to add to the NFL record books.

There's the opportunity for Bill Belichick, who has won four Super Bowls as a head coach, to pass Chuck Noll for the most Super Bowl wins in NFL history. He already has the most poststeason wins of all time by a head coach and now will have the most Super Bowl appearances as a head coach with seven.

Brady's playoff brilliance continued, throwing for more than 300 yards for the 11th time in a postseason game, the most all-time.

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Once Brady plays in Houston, he will surpass defensive lineman Mike Lodish for the most Super Bowl appearances by a player, with seven. Lodish played in four with the Buffalo Bills and two with Denver. If Brady wins, he will match Charles Haley for the most Super Bowl titles by a player with five.

And maybe there's some other unfinished business. Brady was suspended for the first four games of the regular season because of Deflategate . It was a saga that started in January 2015 and dragged through the court system, and it was a punishment that was brought down by NFL Commissioner Roger Goodell.

Goodell notably was absent from Foxborough on Sunday, opting to be in Atlanta for the NFC Championship Game instead. At Gillette Stadium, fans chanted, "Roger!" and "Where is Roger?"

Brady said after the game he didn't hear the chanting.

Soon enough, though, they will be in the same location: NRG Stadium in Houston.