## Full Year Mathematics Courses

### Math 9

#### Grade: 9

Mathematics 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.

### Math 9-1

This course explores advanced algebraic and geometric content through an emphasis on problem solving, reasoning, and proof. Topics include graph theory, laws of exponents and radicals, the algebra of rational expressions, quadratic equations, Euclidean and coordinate geometry, and unit-circle trigonometry.

### Math 9-2, 9-3, 9-4

These courses explore algebra, geometry, and the connections between the two, with an emphasis on developing students’ ability to solve problems through a variety of approaches. Topics include algebra, coordinate geometry, systems of equations, trigonometry, quadratic functions, and combinatorics, with a consistent focus throughout on reasoning and proof.

### Math 10

#### Grade 10 - Required

This course is required at one of three levels: Math 10-1, Math 10-2, or Math 10-3.

### Math 10-1

Students expand upon the understanding of algebra and geometry gained in Math 9-1. 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 10-2, math 10-3, and math 10-4

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, polynomial functions and complex numbers, statistics, and Euclidean geometry.

### Math 11-2+, Math 11-2, and Math 11-3

#### Grade 11

These courses emphasize applications of mathematics and may include the following areas: algorithms, exponential functions, logarithms, trigonometric functions, transformations of functions, polynomial functions, trigonometric identities, combinatorics and probability, and further topics in geometry.

### Calculus (Accelerated)

#### Grades 11-12

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.

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

### Advanced Calculus (Accelerated)

#### Grade 12

In Calculus, students are introduced to the concept of limits, and learn how they can be applied to develop the theory of differentiation (rates of change) and integration (accumulation), which culminates with the fundamental theorems of calculus. Advanced Calculus further develops the techniques of differentiation and integration, and serves as a foundation for classes like differential equations, multivariable calculus, and linear algebra. The curriculum is designed to include the following: 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 cover all of the material found on the Advanced Placement (AP) Calculus BC exam, and will provide a strong foundation for students interested in taking the test. In addition to the core topics previously mentioned, the class may take occasional tangents into other areas of higher mathematical study. These topics may include different number systems; the “sizes” of infinity; mathematical physics and relativity; multivariable calculus and geometry; and Fourier series.

*Prerequisite: Calculus*

### Advanced Elective: linear algebra (accelerated)

#### Grades 9-12

Linear Algebra is a wonderful element 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.

*Prerequisite: Permission of the department*