Dayton (24-30, 54-70) struck in the second inning, when Juan Silva doubled with two outs and was driven in on a single by Nick O'Shea.
The TinCaps (32-24, 63-63) had a chance to tie the game in the bottom of the second. Austin Hedges was hit by a pitch, and Connor Powers reached on an error. Both moved up on a wild pitch, but Kyle Gaedele grounded out, and Jace Peterson flied out to end the threat.
Sean Buckley added to the Dragons lead in the fourth inning with a two-run home run, his team-leading 11th round tripper. Dayton scored three more runs in the sixth, as Yorman Rodriguez walked to lead off the inning and Jefry Sierra hit a single to chase Fort Wayne starter Frank Garces (9-5). Buckley followed with a RBI double off reliever Dennis O'Grady, and Silva hit a two-run single to extend the lead to 6-0.
Fort Wayne got on the board in the sixth inning. Dan Jensen relieved starter Jacob Johnson (2-5) and gave up a leadoff double to Hedges. Gaedele grounded into a fielder's choice to move Hedges to third, and Tyler Stubblefield drove him in with a single.
Dayton stretched its lead with three runs in the seventh. With one out, Sammy Diaz walked and Rodriguez followed with a double to put two men in scoring position. Sierra and Buckley followed with run-scoring singles, and Silva drove in another run, grounding into a fielder's choice, making it 9-1. Dayton tacked on two more in the ninth on a two-run home run by Rodriguez.
The series wraps up Tuesday night at 7:05 at Parkview Field. Colin Rea is scheduled to start for Fort Wayne, with Radhames Quezada on the hill for the Dragons.