Course Content

ALGEBRA 1B

This course provides extensive study of the fundamental concepts of algebra for college preparatory students. This Algebra 1B course focuses on using ratios, writing equations from words or diagrams, solving linear and quadratic equations, and understanding the relationship between graphs and solutions to equations. Topics include graphing equations, linear equations, systems of equations, inequalities and absolute values, rational and radical expressions and equations, relations and functions and quadratic equations, and additional topics.

MATH II

This course covers geometric and algebraic concepts and skills using a concrete rather than an abstract approach.

MATH III

One-year course. Open to Grade 11. Meets the “c” UC/CSU Requirement for Mathematics. Recommendation: Grade of D or better in Math II. . This is the first half of a two year Algebra II sequence. This course covers half of the common core state standards of a full Algebra II course and is a further exploration of the real number system with extension into the complex numbers. Students analyze and formulate appropriate solutions, manipulate algebraic expressions to put them in more useful forms, extend the use of trigonometry to the laws of sines and cosines, connect right triangle definitions with trigonometric functions and further develop the ability to construct convincing arguments and to support or prove assertions. Topics include linear and quadratic functions, inequalities, logarithms and exponents, equations in more than one variable, conic sections probability, and sequence and series. A scientific calculator is required. A graphing calculator is used intermittently through the curriculum.

MATH IV

One-year course. Open to Grade 12. Meets the “c” UC/CSU Requirement for Mathematics. Recommendation: Grade of C or higher in Math III. The Math IV course is designed to enhance and expand the mathematical content and concepts of intermediate algebra II presented in Math III. Topics for Math IV include logical reasoning and problem solving, exploring radical expressions and functions, logarithmic and exponential functions, right triangle trigonometry and graphing trigonometric functions, sequences and series, statistics, and data analysis.

GEOMETRY 1 / GEOMETRY 2

Topics include angles, triangles, parallel lines, planes, congruent triangles, circles, constructions and loci, coordinate geometry, areas of polygons and circles, areas and volumes of solids, transformations and right triangle trigonometry, logic, and proofs.

HONORS/INTERMEDIATE ALGEBRA

One-year course. Open to Grades 9, 10, 11. Prerequisite: C or better in Honors Geometry. Meets the “c” UC/CSU Requirement for Mathematics. This challenging discipline complements and expands the mathematical content and concepts of Algebra I and geometry through in‐depth explorations and rigorous study. It is more rigorous and presents students with learning challenges of greater depth and complexity than Intermediate Algebra II. Students who master Honors Intermediate Algebra II will gain experience with algebraic solutions of problems in various content areas, including functions, transformations of linear and non-linear relations, exploring rational expressions, equations, and inequalities, solving systems of equations and inequalities with multiple variables using a variety of methods, studying logarithmic functions and their inverses, trigonometric functions and the unit circle, polynomial functions, imaginary numbers, and complex roots, investigate biases, standard normal distributions and statistical analysis, probability, arithmetic and geometric sequence and series. A graphing calculator will be used on a daily basis to model Mathematical practices.