**Mathematics Courses, Grades 9-12**

- Algebra I
- Geometry
- Algebra II (H)
- Pre-Calculus
- Probability and Statistics
- AP Calculus AB

# Mathematics

**Algebra I**

Grade 9

CSU/UC: C

The main purpose of Algebra I is to develop students’ fluency with linear, quadratic, and exponential functions. The critical areas of instruction involve deepening and extending students’ understanding of linear and exponential relationships by comparing and contrasting those relationships and by applying linear models to data that exhibit a linear trend. In addition, students engage in methods for analyzing, solving, and using exponential and quadratic functions. Some of the overarching elements of the Algebra I course include the notion of function, solving equations, rates of change and growth patterns, graphs as representations of functions, and modeling.

**Geometry**

Grade 9, 10

CSU/UC: C

A course designed to emphasize terms of geometry, prove assertions directly or by contradiction, constructing logical arguments, prove basic theorems of congruence and similarity, corresponding parts of polygons, parallel and perpendicular lines theorems, perimeter, circumference, area, volume, lateral area, surface area of common geometric figures and prisms, properties of polygons, special angles of polygons, Pythagorean Theorem Proof, bisectors of line segments, angles and polygons, trigonometric functions definitions, circular relations, and rotations, translations and reflections in space.

**Algebra II (H)**

Grade 10, 11

CSU/UC: C

The course contains the same content as Algebra II, but accelerated. The emphasis is absolute value equation and inequalities, systems of linear equations and inequalities, operations on polynomials, factoring polynomials, quadratic formula, parabolas, laws of logarithms, exponential growth and decay, converting base of logarithms and between relationships and graphs, fundamental counting principle for combinations and permutations for probability, binomial theorem, mathematical induction, arithmetic and geometric sequence and series including the summation theorem, operation and inverse operation on functions and justification of simplifying functions.

**Pre-Calculus**

Grade 11, 12

CSU/UC: C

Pre-calculus instruction will focus on a combination of trigonometric, geometric and algebraic techniques needed for the preparation of the study of calculus.

**Probability and Statistics**

Grade 12

CSU/UC: C

Probability and Statistics instruction will focus on the fundamental concepts of probability and statistics. It proceeds from an experimental-intuitive approach to the systemization and theoretical explanation of probability it applies game theory and decision making.

**AP Calculus AB**

Grade 12

CSU/UC: C

Building enduring mathematical understanding requires understanding the why and how of mathematics in addition to mastering the necessary procedures and skills. To foster this deeper level of learning, AP Calculus is designed to develop mathematical knowledge conceptually, guiding you to connect topics and representations throughout the course and to apply strategies and techniques to accurately solve diverse types of problems.