Mathematics

Algebra I
Grade 9
1 credit
Algebra I introduces students formally to the fundamentals of mathematics through the study of systems of numbers, equations, and inequalities. Students use algebra to develop problem-solving, reasoning, and communicating skills through real-world applications. Students use technology to make connections between concepts algebraically and graphically.

Geometry*
Grades 9–10
1 credit
This course provides a thorough treatment of geometric concepts, introduced visually, analytically, and deductively. Students will learn axiomatic proof and recognize reasoning and proof as fundamental aspects of mathematics. Throughout the course, students are asked to make conjectures about figures and identify relationships between figures. They will also analyze characteristics and properties of two- and three-dimensional figures. Constructions, computer labs, and hands-on activities are integral parts of this course.
*Prerequisite: Algebra I

Geometry–Honors*
Grades 9–10
1 credit
This course is an advanced class that promotes critical thinking, proof, and problem-solving. Geometric concepts are introduced visually, analytically, and deductively. Students will recognize reasoning and proof as fundamental aspects of mathematics. Throughout the course, students are asked to make conjectures about figures and identify relationships between figures. Constructions, computer labs, and hands-on activities are integral components of students’ coursework.
*Prerequisite: Algebra I and permission of the department

Algebra II*
Grades 10–11
1 credit
Algebra II is the continuation of the study of algebraic principles introduced in Algebra I. Emphasis is placed on the concept of functions and their applications. Linear, quadratic, polynomial, rational, exponential, and logarithmic functions are studied including symbolic, graphical, and numerical representations. Students employ technology tools to explore concepts and enhance problem-solving skills.
*Prerequisite: Algebra I and Geometry

Algebra II with Trigonometry*
Grades 9–11
1 credit
This course moves at a faster pace than Algebra II while covering all topics from the Algebra II course described above. Many topics will be covered in greater depth than in the Algebra II course, and a substantial treatment of trigonometry will be incorporated. This course, coupled with Precalculus the following year, prepares students to take Calculus.
*Prerequisite: Algebra I and Geometry, and permission of the department

Algebra II–Honors*
Grades 9–11
1 credit
This honors course is for highly motivated students with solid algebraic fundamentals and a demonstrated enthusiasm for mathematics. Emphasis is placed on the understanding of a variety of algebraic and trigonometric functions and their applications in real-world modeling. Students who complete this course with distinction are prepared to take Precalculus–Honors.
*Prerequisite: Algebra I and Geometry, and permission of the department

Precalculus*
Grades 10–12
1 credit
This course includes a rigorous treatment of major families of functions: polynomial, rational, exponential, logarithmic, and trigonometric, focusing on the core concepts of graphical analysis; solving equations and inequalities; inverse relationships; and proof. Analytical trigonometry, vectors, matrices to solve systems, and conic sections are major topics in the course.
*Prerequisite: Algebra II with Trigonometry or Algebra II–Honors, and permission of the department

Precalculus–Honors*
Grades 10–12
1 credit
The honors precalculus course demands greater initiative and interest on the part of the students, who will be expected to apply their knowledge by independently and collaboratively solving challenging problems on regular assignments and presenting their solutions. Students will explore the properties of polynomial, power, rational, exponential, logarithmic, and trigonometric functions through graphical and algebraic analysis. Also covered will be vectors, lines and planes in 3D, and solving systems using matrices. The course will include discrete mathematics and an introduction to limits.
*Prerequisite: Algebra II with Trigonometry or Algebra II–Honors, and permission of the department

Advanced Algebra with Financial Applications*
Grades 11-12
1 credit
This course will introduce students to the mathematical tools needed to become a financially responsible young adult. The course employs selected topics in Algebra II, Precalculus, Probability, Statistics, and Geometry to solve financial problems that occur in everyday life. Real-world problems in investing, credit, banking, auto insurance, mortgages, employment, income taxes, and budgeting and planning for retirement are solved by applying the relevant mathematics. Field projects, computer spreadsheets, and graphing calculators are key components of the course.
*Prerequisite: Algebra II

Statistics*
Grades 11–12
1 credit
This course is an introduction to the mathematical concepts of probability and statistics. Topics studied include sample spaces, independent events, graphic representation, mean, median, mode, variance, standard deviation, standard normal variable, confidence intervals, sampling, and hypothesis testing.
*Prerequisite: Algebra II

Calculus–Honors*
Grades 11–12
1 credit
This honors Calculus course is an introduction to the concepts and techniques of differential and integral calculus. Students will be expected to apply algebra skills and function knowledge from previous courses to calculus topics. Graphing technology is used extensively to help develop an understanding of the material. Topics include limits and techniques and applications of derivatives and integrals.
*Prerequisite: Precalculus or Precalculus–Honors, and permission of the department

AP Calculus AB*
Grades 10–12
1 credit
Calculus AB is designed for highly motivated students with significant maturity and independence. Topics of study include limits, derivatives and their applications, definite and indefinite integrals, and methods and applications of integration. Graphing calculators are used extensively. This course prepares students to take the AP exam in the spring.
*Prerequisite: Precalculus–Honors and permission of the department

AP Calculus BC*
Grades 10–12
1 credit
This course covers all the material in Calculus AB. However, it differs in that it includes a significant number of additional topics, including further methods of integration, and thus is faster-paced and more challenging. This course prepares students to take the AP exam in the spring.
*Prerequisite: Precalculus–Honors and permission of the department

AP Statistics*
Grades 11–12
1 credit
This course is intended for junior or senior students. This is a problem-based course in which students learn to collect and analyze data using probability and statistical models. The course will involve technology and connections to many subject areas. Students may take AP Statistics and Precalculus concurrently. This course prepares students to take the AP exam in the spring.
*Prerequisite: Algebra II with Trigonometry or Algebra II–Honors, and permission of the department

AP Computer Science A*
Grades 11–12
1 credit
This is a college-level course that covers the key concepts of object-oriented programming and prepares students to take the AP exam in the spring. While many days during the year are devoted to lectures, the majority of the course is devoted to labs. Students are given ample class time and close teacher interaction to work on substantial design and programming projects. Throughout the year, students are asked to design and write several small-to-medium-sized programs as well as two major pieces of software from scratch. In addition to the concepts of object-oriented programming, much attention is given to the art of good programming design. Students are challenged not only to write software that works but also to write clean code: software that is efficient and easily understood and maintained. This class challenges students to create.
*Prerequisite: Algebra II–Honors or Precalculus, and permission of the department

Data Structures and Algorithms–Honors*
Grades 11-12
1 credit
This college-level course covers the theory and application of commonly used data structures and related algorithms for maintaining them. Emphasis is placed on efficiency, appropriate use, and the creation of encapsulated, object-oriented data structures. Students learn to implement iterative and recursive sorting algorithms, variations of linear data structures (linked lists, stacks, queues, and hash tables), variations of non-linear data structures (trees, heaps, and graphs), and the algorithms used to process each structure's data. This course will utilize Java language coding assignments in and out of class as a major means of learning about and employing data structures.
*Prerequisite: AP Computer Science A, and permission of the department

Multivariable Calculus-Honors*
Grades 11–12
1 credit
This course extends the concepts of single-variable calculus to functions of two or more variables. Students explore three-dimensional coordinate systems, vector-valued functions, partial derivatives, and multiple integrals. Topics include limits and continuity in higher dimensions, optimization of multivariable functions, applications of partial derivatives, double and triple integrals, and an introduction to line and surface integrals. Emphasis is placed on graphical interpretation, conceptual understanding, and real-world applications in physics, engineering, and economics.
*Prerequisite: AP Calculus BC and permission of the department