In 1988-89 the Connecticut Vocational-Technical School System initiated a program for the ongoing review and upgrading of all trade and academic curricula used in the system's 17 schools to insure that each curriculum is consistent with current standards. Every 3 years the Curriculum Steering Committee for the trade or academic subject conducts a review and an analysis to identify outdated content, approaches or materials. The revised curriculum incorporates the latest thinking of instructors who teach the subject, suggestions from authorities in the mathematics field, and current instructional approaches in the field of education. This curriculum is intended as a plan for learning algebra with trigonometry and an aid to the mathematics instructor to prepare students for membership in society. The document is separated into several sections: the Vocational-Technical School Mathematics Sequence; Career Relationships and Requirements; Instructor's Goals; Students' General Competencies; a Common Core of Learning; Personal Goals for Students; and a series of 14 algebra and trigonometry units. Each unit provides suggested instructional time, unit objectives, and a list of student competencies required of students after completing the unit. The units are: (1) Radical Expression, Elimination, Complex Fractions; (2) Factoring; (3) Scientific Notation, Consecutive Integers, and Rational Equations; (4) Graphical Solutions, Equation of a Line; (5) Multiplication of Radicals, Division of Polynomials, and System of Equations; (6) Solutions of Quadratic Equations by Factoring, Intercept-Slope Method of Graphing; (7) Multiplicative Property of Inequality, Uniform Motion Problems, Difference of Two Squares; (8) Pythagorean Theorem, Distance, Uniform Motion, Square Roots, and Rounding; (9) Absolute Value Inequalities, Rational Equations; (10) Equation of a Line through Two Points, Functional Notation; (11) Parallel Lines, Equation of a Line with Given Slope, Radical Slope Equations, Formula; (12) Absolute Value Inequalities, Multiplication of Radical Expressions, Linear Inequalities; (13) Square Roots (Quotient Theorem), Trinomial Factoring, The Quadratic Formula; (14) Trigonometry of the Right Triangle. A textbook and computer software are suggested. (MDH)