Various implementations are directed to a single face building block and masonry wall assembly and methods. Each building block includes a single face shell, first and second webs extending from an interior surface of the face shell, and a pier that has a proximal surface disposed between distal ends of the webs and a distal surface that is opposite and spaced apart from the proximal surface of the pier. Interior surfaces of the webs, the proximal surface of the pier, and a portion of the interior surface of the face shell between the webs define a pocket. In addition, the building blocks may include a ledge that extends outwardly from the distal surface of the pier. This ledge forms a channel with an upper surface of the pier stacked above the block.