## Full Year Courses

### Math 9

#### Grade: 9

Mathematic courses in the 9th Grade explore algebra, geometry, and the connections between the two. Throughout, there is an emphasis on problem solving, reasoning, and proof. **Students are sectioned by interest and ability, **with the different classes varying in pace and level of abstraction. Topics for more advanced sections include Euclidean geometry and unit-circle trigonometry. Topics for all 9th Grade sections include algebra, coordinate geometry, systems of equations, trigonometry, quadratic functions, and combinatorics.

### Math 10-1

#### Grade: 10

Students expand upon the understanding of algebra and geometry gained in Math 9. They explore exponential and logarithmic functions, combinatorics, sequences and series, graphical transformations, polynomials and rational functions, circular motion and the trigonometric functions, trigonometric identities, complex numbers, and begin the study of infinitesimal processes.

### Math 10-B

#### Grade: 10

Students expand upon the understanding of algebra and geometry gained in Math 9. They explore exponential and logarithmic functions, combinatorics, sequences and series, graphical transformations, polynomials and rational functions, circular motion and the trigonometric functions, trigonometric identities, and complex numbers. Students will continue to review and practice algebra skills throughout. Those completing this course will likely begin studying calculus in spring semester of their junior year.

### Math 10-C, Math 10-D

#### Grade: 10

These courses examine algebra, geometry, and discrete mathematics but in greater depth than the previous year, with a continuing emphasis on developing students’ ability to solve problems through a variety of approaches. Topics may include graph theory, geometric sequences and series, radicals and laws of exponents, the algebra of rational expressions, exponential functions, further study of quadratic equations and complex numbers, statistics, and synthetic geometry.

### Calculus (Acc)

#### Grades: 11-12

*Prerequisite: Math 10-1 or permission of current math teacher.*

Concepts and applications of differential and integral calculus are presented. For juniors, a month-long final project, requiring considerable independent work, concludes the course. Students who complete the course successfully are prepared to take the Advanced Placement Calculus AB exam.

### Math 11-2, Math 11-3, Math 11-4 ** **

#### Grade: 11

These courses emphasize applications of mathematics and may include the following areas: algorithms, logarithms, trigonometric functions, transformations of functions, trigonometric identities, probability and counting methods, and/or statistics.

### Advanced Calculus (Acc)

#### Grade: 12

*Prerequisite: Calculus*

In Calculus, students are introduced to the concepts surrounding limits, and learn how they can be applied to develop the theory of differentiation (rates of change) and integration (accumulation), which culminates in the fundamental theorems of calculus. Advanced Calculus continues to develop the techniques of differentiation and integration. In this curriculum, the class plans to cover indeterminate forms; logarithmic and implicit differentiation; related rates; integration by parts; partial fraction decomposition; improper integrals; parametric and polar equations; vector calculus as it applies to position, velocity, and acceleration; differential equations and population models; sequences; Taylor and power series. These topics should cover the vast majority of the Advanced Placement Calculus BC exam, and will provide a strong foundation for students interested in taking it. In addition to the aforementioned core topics, the class may often take occasional tangents into other areas of higher mathematical study. These topics may include different systems of numbers; different sizes of infinity; mathematical physics; multivariable calculus; and Fourier series.

### linear algebra

#### Grades: 9-12

*Prerequisite: permission of the department.*

Linear Algebra is a wonderful field of mathematics: it lives squarely in that sweet spot where beauty and “extreme usefulness” overlap. The subject begins with a deep exploration of strategies for solving systems of linear equations, moving to the powerful realm of vectors, vector spaces, and linear transformations. Applied linear algebra empowers much of modern computational sciences such as Google’s famed PageRank algorithm, computer graphics and animations, and Computerized Axial Tomography (as in CAT scans). This class will provide a balance of theory and application and computation.