# Mathematics: Course Offerings

**Algebra I**

Algebra I introduces students to the fundamental concepts and techniques of algebra. Topics include linear relationships, equations and inequalities, systems of equations, statistics, and various types of functions, including linear, absolute value, and quadratic. Statistics and geometry are integrated throughout this course, and students will learn how to utilize a graphing calculator. *Credit: one unit. Prerequisite: Pre-Algebra.*

**Geometry **

Geometry focuses on the study of points, lines, planes, transformations, congruence, and similarity while working with triangles, polygons, circles, and geometric solids. Other topics include algebraic principles, angles, measurement, right triangle trigonometry, probability, and modeling of real-world situations. The course emphasizes the use of constructions, conjectures, justification, explanation, and proof. Hands-on activities and technology are integral parts of the course. *Credit: one unit. Prerequisite: Algebra I.*

**Algebra II **

Algebra II is a continuation of the study of algebra at the intermediate level. Major topics include solving equations and inequalities, systems of equations and inequalities in two and three variables, operations with polynomials and rational expressions, algebraic functions (absolute value, power, polynomial, rational, exponential, and logarithmic), statistics, probability, and logarithms. *Credit: one unit. Prerequisite: Geometry.*

**Pre-Calculus**

Pre-Calculus is a course that helps develop students’ understanding of functions and prepares them for further studies in mathematics, including Calculus. Topics include functions and their graphs (polynomials, rational, exponential, logarithmic, and trigonometric functions), and analytic trigonometry. Each topic is approached numerically, symbolically, and graphically. Technology and real-world applications are incorporated throughout this course. *Credit: one unit. Prerequisite: Algebra II*

**Introduction to Calculus**

This is a semester course of introductory Calculus designed to prepare students for taking Calculus in college. Students will study selected topics from differential and integral calculus, including the study of algebraic and transcendental functions, limits and continuity, derivatives, and antiderivatives. A main focus of the course is to explore applications of Calculus in other disciplines such as business, science, and psychology. *Credit: one-half unit. Prerequisite: Pre-Calculus.*

**Introduction to Operations Research**

This course is designed for seniors who have completed Algebra II and are looking for an alternative mathematics class, in addition to or in replacement of Pre-Calculus or Introduction to Calculus and Statistics. The focus of the course is on using mathematics to solve problems and make decisions involving day-to-day operations as well as long-range issues. The course is divided into two semesters: deterministic and probability. Topics in the deterministic semester include multi-criteria decision making and linear programming. Topics in the probabilistic semester include probability trees, and probability distributions. Microsoft Excel is used extensively in this course.** ***Credit: one unit. Prerequisite: Algebra II.*

**Advanced Placement Calculus AB**

AP Calculus AB is designed to prepare students for the College Board AP Calculus AB examination. The course starts with a review of the Cartesian plane and the functions studied in Pre-Calculus. Major topics covered are limits and continuity, differentiation and its applications, integration and its applications, differential equations, and slope fields. This course emphasizes a multi-representational approach to calculus, with concepts and results expressed numerically, graphically, analytically, and verbally. Summer work consists of a self-review packet of the algebraic and trigonometric functions studied in Pre-Calculus that will be of most importance to Calculus. *Credit: one unit. Prerequisite: Honors Pre-Calculus*.

**Advanced Placement Calculus BC**

Advanced Placement Calculus BC is designed to prepare students for the College Board AP Calculus BC examination. This course is an extension of Calculus AB and includes additional topics in differential and integral calculus including techniques and applications of integration, parametric functions, polar functions, differential equations, sequences, series, power series, and Taylor’s Theorem. *Credit: one unit. Prerequisite: AP Calculus AB.*

**Multivariable Calculus**

Multivariable calculus is the third of three courses in a calculus sequence. The course focuses on (1) vectors, vector algebra, and vector functions; (2) functions of several variables, partial derivatives, gradients, directional derivatives, maxima and minima; (3) multiple integration; and (4) line and surface integrals, Green's Theorem, Divergence Theorems, Stokes' Theorem, and applications. The course relies on the use of handheld calculators and computer algebra systems. *Credit: one unit. Prerequisite: AP Calculus BC.*

**Introduction to Statistics**

This is a semester course of introductory Statistics designed to prepare students for taking Statistics in college. Students will study selected topics from statistics, including graphing and describing one- and two-variable data sets, calculating standardized normal probabilities, performing linear regression, and designing experiments. A main focus of the course is to explore applications of Statistics in other disciplines such as business, science, and psychology. *Credit: one-half unit. Prerequisite: Algebra II.*

**Advanced Placement Statistics**

The purpose of Advanced Placement Statistics is to prepare students for the Advanced Placement Statistics examination. This course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: exploring data and describing patterns and departures from established patterns; planning and conducting experiments using proper procedures and sampling techniques; anticipating patterns in random phenomena through the use of probability and simulation; and using statistical inference to estimate population parameters and to test hypotheses. All AP Statistics students are required to complete substantial summer work in preparation for this course. *Credit: one unit. Prerequisite: Honors Pre-Calculus and departmental approval.*

**Introduction to Coding**

Computing has changed the world in profound ways: it has opened wonderful new ways for people to connect, design, research, play, create, and express themselves. However, using the computer as a tool is just a small part of the power computing brings to society. This survey course offers students a hands-on introduction to computer science, and they will use the Snap! visual programming language to translate their ideas into code. Students will learn about big programming ideas such as variables, lists, algorithms, loops, data structures, recursive functions, and general abstraction. In addition, students will explore various aspects of computing relevant to themselves and to society. *Credit: one unit.*

**Advanced Placement Computer Science**

AP Computer Science is equivalent to a first-semester, college-level course in computer science. The course introduces students to computer science with fundamental topics that include problem solving, design strategies and methodologies, organization of data (data structures), approaches to processing data (algorithms), analysis of potential solutions, and the ethical and social implications of computing. The course emphasizes both object-oriented and imperative problem solving and design using Java language. These techniques represent proven approaches for developing solutions that can scale up from small, simple problems to large, complex problems. The AP Computer Science course curriculum is compatible with many CS1 courses in colleges and universities. *Credit: one unit. Prerequisite: Algebra II and departmental approval.*

*+ Grades 11 and 12 only
*New course for 2018-2019
**This information is based on the 2018-19 course offerings.*