# Mathematics

**Algebra 1 (Grades 9, 10, 11, and 12)**

Year Course

Fulfills “C” of UC/CSU A-G admission requirements

The course is aligned with the Common Core State Standards (CCSS) for Algebra 1. Topics include signed numbers and properties of real numbers, equations, inequalities, functions, lines, systems of equations and inequalities, polynomials and exponents, factoring, quadratic functions, rational functions and equations, and radical functions and equations. Successful completion of Algebra 1 or a higher level Math Course is a graduation requirement.

**Algebra 2 (Grades 9, 10, 11, and 12)**

Year Course

Fulfills “C” of UC/CSU A-G admission requirements

Prerequisite: “C” or better in both semesters of Geometry and a “C” or better in both semesters of Algebra 1

The course is aligned with the Common Core State Standards (CCSS) for Algebra 2. Topics include functions, equations and their graphs, linear systems, quadratic functions, polynomial expressions and functions, radical expressions and functions, rational expressions and functions, exponential and logarithmic functions, conic sections, sequences and series, probability and statistics, and matrices.

**Algebra 2 Honors (Grades 9, 10, 11, and 12)**

Year Course

Fulfills “C” of UC/CSU A-G admission requirements

Prerequisite: “A” in both semesters of Algebra 1, “A” in both semesters of Geometry

The course is aligned with the Common Core State Standards (CCSS) for Algebra 2 but places an emphasis on rigor and advanced problem solving.

**Geometry (Grades 9, 10, 11 & 12)**

Year Course

Fulfills “C” of UC/CSU A-G admission requirements

Prerequisite: Completion of Algebra 1 or teacher recommendation

The course is aligned with the Common Core State Standards (CCSS) for Geometry. Topics include undefined terms, geometric reasoning, parallel and perpendicular lines, triangle congruence, properties of triangles, quadrilaterals and polygons, similarity, right triangle trigonometry, perimeter, circumference and area, volume and surface area, circles, and transformational geometry.

**Geometry Honors (Grades 9, 10, 11, and 12)**

Year Course

Fulfills “C” of UC/CSU A-G admission requirements

Prerequisite: “A” in both semesters of Algebra 1 and an eligible score on the MDTP Geometry Readiness exam

The course is aligned with the Common Core State Standards (CCSS) for Geometry but places an emphasis on rigor and advanced problem solving.

**Precalculus (Grades 9, 10, 11, and 12) **

Year Course

Fulfills “C” of UC/CSU A-G admission requirements

Prerequisite: “C” grade or better in both semesters of Algebra 2 or teacher recommendation

The course is aligned with selected Common Core State Standards (CCSS) for Mathematical Analysis, Linear Algebra, and Trigonometry. Fall semester topics include functions and their graphs, the arithmetic of complex numbers, exponential and logarithmic functions, and topics in analytic geometry. Spring semester topics include radian measure, trigonometric functions and their graphs, problem solving using trigonometric relationships and laws, identities, and solving trigonometric equations.

**Probability and Statistics (Grades 10, 11, and 12)**

Year Course

Fulfills “C” of UC/CSU A-G admission requirements

Prerequisite: “C” grade or better in both semesters of Algebra 2 or Precalculus

The course is aligned with selected Common Core State Standards (CCSS) for Statistics & Probability. Topics include basic principles of descriptive statistics, exploratory data analysis, design of experiments, sample distributions and estimation, fitting models to data, measuring and interpreting probability. Examples from games of chance, business, medicine, policymaking, the natural and social sciences, and sports will be explored. A graphing calculator (TI-83) is required for the course. It is used extensively as a learning tool to expose students to the power and simplicity of statistical software for data analysis.

**AP Calculus AB (Grades 11 and 12) **

Year Course

Fulfills “C” of UC/CSU A-G admission requirements

Prerequisite: “B” or better grade in both semesters of Precalculus or teacher recommendation

The course is aligned with the AP Calculus AB Content Standards published by the College Board. Topics include the use of a graphing calculator, limits, the average and instantaneous rates of change, derivatives (rules for differentiation, implicit differentiation, and higher derivatives), graphical analysis using derivatives, L’Hospital’s Rule, continuity theorems (Intermediate Value Theorem, Extreme Value Theorem, Rolle’s Theorem, and the Mean Value Theorem), applications of the derivative (motion, optimization, linear approximation, and scientific contexts), antiderivatives, Riemann sums, the definite integral, the Fundamental Theorem of Calculus, the average value of a function, applications of the integral (area, volume, and scientific contexts), simple differential equations (including exponential growth and decay), and slope fields.