"I wanted to help this team get over that hump," Smith said.
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The Ducks had won 22 consecutive regular-season games and seven straight Stanley Cup Playoff games against the Flames at home since a 5-2 loss in Game 3 of the Western Conference Quarterfinals on April 25, 2006.
The Ducks swept the Flames in the Western Conference First Round in April.
"We probably could have done this in the spring in Game 2 (of the First Round, a 3-2 loss)," Backlund said. "I thought we were the way better team then, but they got the lucky bounce. We were like 'Oh, it's the curse,' but now it's nice to finally break it."
Monahan scored a power-play goal at 16:27 of the second period to give Calgary a 1-0 lead.
Kris Versteeg, TJ Brodie and Johnny Gaudreau strung together passes in the Anaheim zone before Brodie spotted Monahan in the slot, and he scored his first goal of the season. It was the third power-play goal allowed in three games by the Ducks, who are 0-for-11 with the man-advantage this season.
"Our penalty kill was tremendous tonight," Smith said.