A fourth-quarter surge carried the visiting Beavers to the non-league win.
Kendall Grell hit two 3-pointers and scored all eight of her points in the fourth quarter as Woodland outscored La Center 20-15 to earn the win.
Jessica Flanagan, who scored 15 points to pace Woodland, and Sidra Malik also each made a 3-pointer in the fourth quarter.
In the third quarter, Bethany Whitten hit three 3-pointers for La Center, which turned a six-point halftime deficit into a two-point lead entering the fourth quarter.
Amber Malik collected 12 rebounds for Woodland, Grell grabbed nine boards and Flanagan and McKenna Mulder had eight rebounds apiece.