Improved dental models for use in dental procedures are provided. In one aspect, a unitary dental model of an intraoral cavity of a patient having a dental implant comprises a physical surface representative of gingival tissue of the patient. The model can comprise a channel shaped and oriented to receive an abutment corresponding to a physical abutment to be connected to the dental implant, in which the channel extends to an opening in the physical surface. The channel can comprise a first portion shaped to receive and constrain a corresponding structure of the abutment to a position and orientation and a second portion shaped to receive a fastener to couple the abutment to the unitary dental model. In many embodiments, the first portion comprises a shoulder shaped to receive the corresponding structure of the abutment in order to position the abutment along the channel.