Top 30 College Basketball Non-Conference Games Posted Sep 28, 2015 2. Maryland vs. North Carolina: The two former conference opponents square off in the most-anticipated game of the Big Ten/ACC Challenge on Dec. 1 in Chapel Hill. Maryland and North Carolina have both been slotted No. 1 in various preseason polls heading into this year. North Carolina has owned the rivalry since 2011, winning eight straight over the Terps. (NBC Sports)