Baker improved to 11-8 overall and 4-5 in the HAAC, while Central Methodist fell to 12-9 and 5-4.
Baker's defense held CMU to shoot just 36.4-percent from the field on, 20-of-55, shooting and held the Eagles to just 17 first half points, entering the break up, 24-17.
The Wildcats went on a nice 8-2 run to begin the second half with three-point buckets from Jordan Honore and Corey Anderson and a two-point basket from Ben Steinlage.
CMU managed to cut the lead to just four points, 32-28, with 11:45 to go with a basket from Derek Kitch, but Baker managed to string together another nice 8-0 run and the Eagles never came back within less than seven points the rest of the night.
Three 'Cats scored in double figures, as Steinlage led the charge with 14, Honore scored 13 and Todd Eils added 10.
Eric Franklin had a big night leading all scorers with 24 for CMU and the Eagles defense did cause 21 Baker turnovers.
Baker dominated the boards, outrebounding the Eagles, 37-22, and center Samer Jassar had a solid game in the post with eight points and two rebounds in just eight minutes of action.
Baker will next take on HAAC opponent Avila University on Thursday, Jan. 24 at 7:30 p.m. at the Collins Center.