Amelia MacFarlane had three service points, a blocked shot and seven digs for the Rams.
DeShaun Dias all but put the game away for the Falcons early in the fourth quarter with a highlight reel play that turned a bad situation into a great one for the Falcons.
The Falmouth Clippers defeated Martha's Vineyard and Marshfield.
Bourne claimed the final game by a score of 15-13.
Recap of the week.
Cam Ventre led the way for the Rams with a round of 43.
Four times Sandwich forced turnovers, with the final one a blocked punt by Hank O'Brien that turned into seven more points for the Knights, sealing the win.
Steve Galanis led the Knights with a 35 at the Ridge Club and a round of 38 at Allendale Country Club.
Mashpee's midfielders were strong throughout the game.