This course provides a formal development of the algebraic skills and concepts necessary for students to succeed in advanced courses. Students will develop algebraic skills and apply them in a wide range of problem-solving situations. The concept of function is emphasized. Topics include operations with real numbers, linear equations and inequalities, relations and functions, polynomials, rational expressions, and nonlinear equations.
Geometry Geometric figures, primarily in two dimensions, are studied using multiple perspectives. Exploration and inductive reasoning accompanies a traditional Euclidean approach of deductive reasoning and an introduction to logic and formal proofs. Coordinate geometry and transformations are also used to study congruence, similarity, symmetry and other properties of geometric figures. Real-world connections are made and algebra is reviewed and applied.
Geometry Honors This course is designed to provide students the opportunity to learn about the nature of geometric shapes and their applications to the real world. Students will learn how to reason and communicate logically and develop arguments both deductively and inductively. Additionally, students will extend their knowledge of algebraic concepts through the study of geometric relationships. Topics include properties of parallel/perpendicular lines, congruence and similarity of polygons, polygon characteristics, right triangle relationships (including basic trigonometry), properties of circles, transformations, and surface area/volume of polyhedrons. This course is designed to cover the same topics in the Geometry course but in greater depth and emphasis is given to the theory underlying the mathematical concepts and more challenging problems and experiential projects are included.
Algebra 2 This course is designed to build on algebraic and geometric concepts. It develops advanced algebra skills such as systems of equations, advanced polynomials and factoring, imaginary and complex numbers, quadratics, probability and data analysis, and an introduction to series and sequences.
Algebra 2 Honors This course is designed to build on algebraic and geometric concepts, and delve into them more deeply and with more rigor than in the College Prep Algebra 2 course. This course is paced to prepare students for Precalculus Honors and, eventually, AP Calculus. It is assumed students will pursue a college major heavy in mathematics or science. It develops advanced algebra skills such as systems of equations, advanced polynomials, imaginary and complex numbers, quadratics, probability and data analysis, and series and sequences. Please note that UC only recognizes an Honors designation for Mathematics (“C”) courses at the Precalculus level and higher.
Precalculus 23
