This guide, for junior and senior high school teachers, school board members, community groups, counselors, and administrators, describes the fundamental competencies in English and mathematics expected of a student who begins any baccalaureate degree program. In the Statment on Competencies, fundamental reading, writing and mathematics skills are outlined. The mathematics section deals specifically with pre-algebra, algebra I, geometry, algebra II, trigonometry, and analytic geometry and mathematical analysis. Appendix 1 describes and illustrates the English placement examinations used in the three segments of California public higher education. Appendix 2 reprints portions of the College Board's recommended academic competencies in speaking and listening, reasoning, and studying. Appendix 3 reprints the "Recommendations of the Board of Governors of the Mathematical Association of America and the Board of Directors of the National Council of Teachers of Mathematics." Appendix 4 provides sample problems in mathematics to illustrate the concepts and skills expected of students who have completed specific high school mathematics courses. (JAC)