The purpose of this revised syllabus/guide is to help teachers and administrators plan and implement Course I in the State of New York Three-Year Sequence for High School Mathematics for Regents credit. Course I builds upon the State mathematics curriculum outlined in the Department's mathematics K-6, Grade 7, and Grade 8 publications. This guide includes the role of problem solving, the Course I outline, resources for teachers, a statement of Regents goals, and a discussion of the special needs of handicapped students. The course outline includes the following topics: (1) "Logic"; (2) "Algebra"; (3) "Geometry"; (4) "Analytic Geometry"; (5) "Probabilities"; and (6) "Statistics". Each section contains examples and sample problems related to that topic. (KR)