"This was a blueprint for how we have to play," said Strome. "We have a lot to be proud of tonight. Getting almost 50 shots is really impressive."
The Islanders came in with a three-game winning streak to finish a five-game road trip that began with a 5-0 loss at Colorado on Oct. 30.
After losing again at San Jose to extend their skid to three games, they had one-goal victories over Anaheim, Los Angeles and Arizona.
"We're creating good habits," Islanders coach Jack Capuano said. "Our attention to detail was really good. I was impressed that we stayed with it all night."
The Islanders, who improved to 10-5-0, didn't get their 10th win last season until late December. They finished the night one point behind the Pittsburgh Penguins for the Metropolitan Division lead.
Colorado is moving in the opposite direction since last playing the Islanders with just one win in six games.
"It's beyond frustrating at this point," Avalanche center Matt Duchene said. "We're taking way too many penalties and we're not being smart with the puck."
The Avalanche came in rested having last played Saturday, when they lost 4-3 at Philadelphia.
Colorado has struggled this season after tying their franchise record last year with 52 wins and finishing with 112 points.
"We have to play smarter," Duchene added.
New York has won seven of last eight games at Nassau Coliseum against Colorado.
The longest shutout streak in Islanders history is 199:24, achieved in 1998.
The last goal scored against them was by Dwight King of Los Angeles at 3:49 of the first period last Friday.
"When we do the right things defensively, we give ourselves a chance," Capuano said. "We have to sustain success shift-by-shift and period-by-period."
NOTES: The Islanders are 8-1-0 when they score at least three goals. ... Colorado scratched C Daniel Briere and D Brad Stuart while the Islanders scratched D Brian Strait and D Matt Donovan along with F Eric Boulton.