Abstract: A building construction panel and a building construction panel assembly are presented herein. The panel includes a foam insulation core with first and second oppositely disposed nonlinear longitudinal surfaces, each of the first and second nonlinear longitudinal surfaces include a plurality of pockets defined by a plurality of peaks and a plurality of troughs. A reinforcement mesh panel is disposed along at least a portion of each of the first and second longitudinal surfaces of the foam core. Reinforcing bars are positionable at least partially within the pockets of the surfaces of the foam core, and concrete is layered on top of the surfaces of the foam core and the mesh reinforcement panels to secure the reinforcing bars therein. In some embodiments, the reinforcing bars are positioned between the surface of the foam core and the mesh reinforcing panel.