Plastic building panels for exterior use on buildings are made by forming a plastic sheet at an elevated temperature, overlaying an exterior surface portion of the formed sheet with a coloring sheet having a preselected color, and thermally bonding the coloring sheet to the formed sheet. The coloring sheet may comprise a vinyl resin plastisol and pigment particles. Both the formed sheet and the vinyl resin in the plastisol may comprise polyvinyl chloride (PVC). The coloring sheet can be configured with a matte surface substantially without the use of flattening agents, and an adhesion system can be used to augment the lamination between the coloring sheet and the plastic sheet. The coloring sheet can also be configured to have a predetermined pattern, such as may be provided with a plurality of coloring materials having multiple colors.