This is a guide for use in semester-long courses in Elementary Functions and Analytic Geometry. A list of entry-level skills and a list of approved textbooks is provided. Each of the 18 units consists of: (1) overview, suggestions for teachers, and suggested time; (2) list of objectives; (3) cross-references guide to approved textbooks; (4) sample problems for each objective; and (5) answer key for sample problems. For Elementary Functions, the nine units are: (1) introduction to functions, (2) algebraic functions, (3) exponential and logarithmic functions, (4) circular functions, (5) trigonometric identities, (6) inverse circular functions and trigonometric equations, (7) applications of trigonometric functions, (8) complex numbers, and (9) functions on the natural numbers. For Analytic Geometry, the nine units are: (1) introduction to analytic geometry, (2) points, lines, and planes in space, (3) vectors in a plane, (4) vectors in space, (5) conic sections, (6) matrices, (7) polar coordinates, (8) parametric representation of curves, and (9) surfaces. (MNS)