The teaching of two-component phase diagrams has attracted little attention in this "Journal," and it is hoped that this article will make a useful contribution. Current physical chemistry textbooks describe two-component phase diagrams adequately, but do so in a piecemeal fashion one section at a time; first solid-liquid equilibria, then liquid-vapor equilibria, and so on. The authors have found it pedagogically advantageous to introduce the teaching of two-component phase diagrams with a simple, stylized phase diagram that shows all of the various equilibria in a single sketch. A brief, general description of this initial diagram helps to "set the scene" before continuing with the traditional approach of describing the various possible combinations of equilibria, in detail, one at a time. (Contains 1 figure.)