The couple said they plan to attend Harford Community College in the fall.
"It's exciting," Goedeke said of graduating. "It's a lot of work for it."
Martin said she is "excited just to be going on to a new chapter in life."
The graduates also heard from local elected and appointed officials Wednesday.
Board of Education member Joseph Hau advised the graduates: "Learn to read a map."
He gave the advice to a generation reared on plugging their destinations into their GPS units and following automatic directions.
Hau said in life, "you may face the harsh reality there are no automatic turn-by-turn directions."
He encouraged them to not only learn to read maps, but make their own through life.
"You will want to know how to navigate around these features, so they will not stop you on your journey through life," he said.
State Sen. Barry Glassman, Del. Wayne Norman, Harford County Economic Development Director Jim Richardson and County Councilman Chad Shrodes also spoke.
Norman spoke of the difficulties during the recently-concluded 2013 legislative session in Annapolis, with passions running high on gun control, the so-called "rain tax" and many other contentious issues.
"One thing we do not disagree on in Annapolis is the value of an education," he said.
Shrodes, a North Harford graduate, talked about the close-knit community of the school's students and alumni.
"My classmates are still my best friends," Shrodes said. "This is a unique characteristic of our school."
He encouraged them to "be open to new experiences" and take risks.
"Nothing great was ever accomplished without some risks and hard work," Shrodes said.
He told the graduates time moves fast, and one day they could be in front of a group of Hawk graduates, sharing their life experiences.
"I hope that you share the pride I feel [in North Harford] each time I return," Shrodes said.