Sam MacPhail (2), Michael Hauschild (1-3), Brady McQuaid (1-2), Matt Lange (1-1), Nick MacPhail (1-1), Matt Craig, Ethan MacFadyen and Shawn Stultz scored for the Flames, who held period leads of 1-0 and 5-2.
Tyson Carragher (1-2), Connor Dyment (1-1) and Jake Getson answered for Tignish.
Alex Smith recorded the goaltending victory.