This document presents Core Course Proficiencies for the State of New Jersey whose purpose is to ensure that all students have equal access to the fundamental knowledge and skills critical to achieving success in mathematics. After an introduction providing rationale and background, the Core Course Proficiencies are presented in three sections. The algebra section is divided into two parts for Algebra I and Algebra II. The Algebra I and Algebra II proficiencies are each presented in five clusters: equations and inequalities; number systems; the language of algebra; algebraic expressions; and relations, functions, and graphing. Problem solving is woven throughout the clusters, rather than identified as a cluster within itself. Nine core proficiencies for the Geometry section are presented: relationships of points, lines, planes, and space; systems of measurement; reasoning; coordinate geometry; congruency; properties of polygons and circles; transformations; similarity; and symbolism and notation. The general themes of problem solving, higher-order thinking, communication, connections, using concrete models and manipulatives, estimation, and using calculators and computers are reflected throughout these proficiencies. Six core proficiencies are presented for General Math I, II, and III: numerical operations; patterns and functions; data analysis; measurement and geometry; fundamentals of algebra; and problem solving. (MDH)