A convertible oral bite plate appliance has at least one removable occusal shim attached and conforming to the outer surface of a base. The removable occlusal shim is preferably attached by complementary ribs and grooves on the lingual and buccal/labial portions of the occlusal shim and the base. Elastic bands may optionally be used to connect the maxillary and mandibular occlusal shims to pull the lower jaw anteriorly.