The purpose of this revised syllabus/guide is to help teachers and administrators plan and implement Course II in the the State Three-Year Sequence for High School Mathematics for Regents credit. Course II builds upon the state mathematics curriculum outlined in the department's mathematics K-6, Grade 7, Grade 8, and Course I publications. Included in this guide are the major and minor changes from the 1977 edition, the role of problem solving, the course II outline, an evaluation, and resources for teachers. Appended are a statement of Regents' goals from 1984 and a discussion of special needs of handicapped students. The course outline includes the topics: (1) "Logic"; (2) "Mathematical Structure and Related Algebraic Skills"; (3) "Euclidean Geometry"; (4) "Analytic Geometry"; (5) "Equations and Inequalities"; and (6) "Probability and Combinations." Each section contains examples and sample problems related to that section. (KR)