During Miami’s 31-16 victory over the New York Giants on Sunday, the Dolphins reached an NFL record for yards gained through the first five games of a season.

With 524 yards against New York, Miami lifted its season total to 2,568 yards – 23 more than the St. Louis Rams gained as the “Greatest Show on Turf” in their first five games of the 2000 season.

The Dolphins reached the record in a game in which they lost three turnovers.

“I think that says a lot about the guys we have on both sides of the ball,” Miami quarterback Tua Tagovailoa said. “In order for us to do that offensively, we got to get the ball back. In order for us to be able to do that, we really all got to play together. In order for me to pass the ball, the guys got to block. In order for the runners to run the ball, our guys got to block, so I think they’ve done a tremendous job up front.

“Turnovers happen regardless of what the game is, and I don’t think any of the guys blinked. There was no swing of emotion.”

Tagovailoa came into Week 5 of the NFL season as the league leader in passing yards with 1,306 and he added 308 to his total on Sunday as he completed 22-of-30 passes with two touchdowns and two interceptions.

One of Tagovailoa’s passes went for 102 yards – but not for the Dolphins.

Giants safety Jason Pinnock intercepted a tipped pass with the Dolphins on the New York 4-yard line and took it the length of the field for a touchdown with 1:40 left in the first half to cut Miami’s lead to 14-10.

Tagovailoa rebounded to complete five straight passes to get the Dolphins in position for a field goal on the final snap of the first half, then opened the second half by throwing a 69-yard touchdown pass to former West Alabama standout Tyreek Hill on the third play of the third quarter.

Tagovailoa called the touchdown play.

“That’s one of the moments in the story of his journey that is indicative of where he’s at,” Miami coach Mike McDaniel said. “… Those turnovers and picks, it would have been hard to get him out of that – how mad he would be at himself. And all the discipline work that he’s done with mind, body and soul to be in a moment like that and just take the game in his hands, that’s what you’re trying to build. It was a really cool moment.”

Tagovailoa said he had changed his reaction to interceptions in his fourth NFL season.

“When I came into the league, it was a lot different when I would throw an interception — the mindset that I’d have,” Tagovailoa said. “I’d throw an interception, and I’d feel the need to press and think that I need to make a play for our guys. … If it does end up happening in a game, I know how to move forward from that. It happens, and then move on.”

RELATED: TUA TAGOVAILOA FINDS ENCOURAGEMENT IN HIS FAITH DURING TRYING CIRCUMSTANCES

After Tagovailoa threw a 2-yard touchdown pass to former Alabama teammate Jaylen Waddle with 7:09 left in the first quarter, the Dolphins scored their second TD on a 76-yard run by running back De’Von Achane with 10:02 left in the first half.

According to the NFL’s Next-Gen Stats, Achane reached a speed of 21.76 mph, the second-fastest for a ball-carrier in the NFL this season behind his 21.93 on a 67-yard run in a 70-20 victory over the Denver Broncos on Sept. 24.

But on his touchdown reception on Sunday, Hill pushed Achane out of the top spot by hitting 22.01 mph. At that point, Miami players owned the seven fastest speeds recorded by NFL ball-carriers this season.

“That helps us a lot,” Tagovailoa said of the Dolphins’ speed. “It’s a big play and it’s more. It’s not where you reach the second level and it’s like, ‘OK, he’s probably going to get tackled.’ Once you see it one time, it’s hard for you to unsee it, so when those guys get the ball in space, you’re really thinking they’re going to go and score with that.”

When the Rams set the five-game record, they were the defending Super Bowl champion, but they didn’t get back to the NFL championship game at the end of the 2000 season. The No. 2 team on the five-game offense list did reach the Super Bowl, but the 2011 New England Patriots lost their perfect record in the title game. The No. 3 team on the list, the 2013 Denver Broncos, also got to the Super Bowl and also lost.

“Mission accomplished,” McDaniel said when informed of the five-game record. “We had the whole time, the whole offseason, that was our goal was output after five games.”

On a serious note, McDaniel added: “I think it speaks to what the group is capable of and you’re honored to be in the same breath statistically, but when push comes to shove, I think it speaks to a lot of deliberate, hard work from a lot of human beings – players, coaches, everyone – but I think all that means is people are going to give you their best shot and you better continue to work and progress in your game if you’re going to be satisfied because you’re going to have a bull’s-eye on your back.”

With a 4-1 record for the first time since the 2003 season, the Dolphins play the Carolina Panthers at noon CDT Oct. 15 at Hard Rock Stadium.

FOR MORE OF AL.COM’S COVERAGE OF THE NFL, GO TO OUR NFL PAGE

Mark Inabinett is a sports reporter for Alabama Media Group. Follow him on Twitter at @AMarkG1.