Barrie made it 3-1 at 12:15, jamming in a rebound in the crease after Hyman's deflection of Nurse's point shot trickled behind Mrazek.
McDavid extended the lead to 4-1 at 13:12 when he came out from behind the net, skated around Chicago defenseman Seth Jones and scored with a backhand from the slot. The goal, his 41st this season, extended his point streak to 12 games (nine goals, 11 assists).
Hyman pushed it to 5-1 at 14:48, knocking in a centering pass from McLeod.
"It seems, especially this year, we pre-scout them and we know what they're going to do and they still seem to be able to do it," Blackhawks coach Luke Richardson said. "They're really good at it. Unfortunately, if we would have been able to get one of those penalty kills, those two goals just got us off our game plan and got us spread out, whereas in the last two games we were well-connected.
"In the second period we started to spread out, and they just feast on that when you don't play your game plan."