An ice maker has an ice mold that includes a metallic piece and an insulated piece. A cooling source is thermally coupled to the metallic piece. A cavity is within the ice mold and has a first reservoir in the metallic piece and a second reservoir in the insulated piece. The first and second reservoirs align to substantially enclose the cavity. An intake aperture in the insulated piece extends to the cavity for receiving water. A drive body rotatably coupled to the ice mold that operates in an ice-making cycle, wherein the drive body repeatedly rotates the mold from an injection position to a tilted position. The cavity receives an incremental amount of water in the injection position and moves to the tilted position to freeze at least a portion of the incremental amount of water over a side surface of the cavity to make an ice piece.