This document summarizes key characteristics of chordates and classes of fish, including jawless and jawed fish. It describes: 1) The five characteristics of chordates and the classes of jawless fish (hagfish and lamprey), which have cartilaginous skeletons and sucker-like mouths. 2) The class Chondrichthyes (sharks and rays), which have cartilage skeletons, dermal placoid scales, and multiple rows of replacement teeth. Reproduction includes live birth and egg-laying. 3) The class Osteichthyes (bony fish), which have over 30,000 species with bony backbones, fins, and swim bladders.