The Terps will face Michigan, UCLA and North Carolina with the chance to make program history.
The Terps clocked a 196.450, improving their National Qualifying Score by a tenth of a point.
Maryland gymnastics is among seven top-25 programs in the Big Ten.
The Terps posted a program record 49.450 on bars as coach Brett Nelligan picked up his 200th career win.
The Terps have one weekend remaining in their regular season, and are currently riding a high following a string of strong performances.
Barber sits behind just Rachel Martinez for the most career points in Terps gymnastics history.
The Terps will travel to Pennsylvania for the Temple Quad meet as their regular season winds to a close.
The Terps had just one practice before their rough performance at the Big Five meet.
The Terps came back down to earth on Friday evening, losing to four conference opponents and posting their lowest score in nearly a month.
Despite injuries, the Terps are in strong form entering one of the toughest meets of the season.