"I'm very much impressed by the speed and ball control," said Monett coach Dan Janssen. "They are very adaptable. We threw some different looks at them, and they adapted to each look."
The Cubs managed only three shots on goal, one each by Will Snider, Eddie Aceves and Luis Gonzales.
Monett goalie David Garcia made nine saves, and the Cubs defense blocked several other attempts.
The Irish scored twice in the first half and then added four after halftime to move on to Saturday's quarterfinal.
Four minutes into the second half, Moncada scored with a nice spin move and a blast Garcia.
Moncada has scored 60 goals this season, a school record, and 119 in his career.
Despite the Cubs loss, Monett still had a great season securing their first district title since 2001.
"In the end, they really bonded together," said Janssen. "We played some rough ball in the middle of the year, and the seniors sat down and kind of refocused the team."
Monett will have a lot of work to do in the offseason as they lose eight seniors to graduation.
"Our defense and midfield will be hard hit," said Janssen. "Luis Gonzalez and Jorge Aceves will be hard to replace. The key for us is to keep working. We need to play in the summer league, hit the weight room and have a good summer camp."
The Irish will host Sedalia Sacred Heart (17-9) on Nov. 10 at Cooper Soccer Complex. Kickoff is set for noon.