# Math

## Math

High School mathematics offers students the opportunity to develop a deep appreciation for the language of mathematics alongside the chance to develop mathematical skills that are essential to problem solving not just in mathematics but also in the natural and social sciences, engineering, computer science and business.

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**Graduation Requirement:**

*Mathematics Department course placement is determined by teacher recommendation and approval by the Math Department.*

**Course Offerings for Juniors and Seniors:**

Algebra 2 (honors determined by department)

Pre-calculus (honors determined by department)

SAS Statistics

AP Calculus AB

AP Calculus BC

**Algebra 1 (9th Grade)**

This course teaches students how to work with variables within the context of linear and quadratic equations. Students solve linear equations with one variable and systems of equations with two variables. Students learn how to graph a line given an equation and how to find an equation given a graph or a set of points. Students learn the rules for exponents and simplify rational algebraic expressions. They also are introduced to quadratic equations by learning how to multiply and factor polynomials.

**Geometry (9th or 10th Grade)**

The emphasis of this course is for students to learn deductive reasoning by using the basic postulates and theorems of Euclidean Geometry. They study points, lines, planes, angles, parallel and perpendicular lines, properties of 2-dimensional shapes (triangles, quadrilaterals, circles, etc.) and 3-dimensional shapes (prisms, pyramids, cylinders, etc.), congruency of shapes, similarity of shapes, special right triangles, and area and volume formulas. There is a Geometry Honors option for advanced 9th grade students.

**Algebra 2/Trig (10th or 11th Grade)**

This course emphasizes further development of algebraic skills and focuses on various functions, their properties, graphs and transformations. Students explore polynomial, rational, exponential, and logarithmic functions, inverse functions and the composition of functions. Students solve linear, quadratic, exponential, logarithmic, and rational equations, learn about the complex number system and solve problems involving direct and inverse variation. At the end of the course, students receive an introduction to trigonometry, including unit circle trigonometry.

**Algebra 2/Trig Advanced (10th Grade)**

This course emphasizes further development of algebraic skills and focuses on various functions, their properties, graphs and transformations. Students explore polynomial, rational, exponential, and logarithmic functions, inverse functions and the composition of functions. Students solve linear, quadratic, exponential, logarithmic, and rational equations, learn about the complex number system and solve problems involving direct and inverse variation. Students are also introduced to arithmetic and geometric sequences. At the end of the course, students receive substantial introduction to trigonometry, including unit circle trigonometry and working algebraically with trigonometric identities. The TI-84 calculator is an integral part of this course.

**Algebra 2/Trig Honors**

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**Pre-calculus**

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**Advanced Pre-Calculus**

**Precalculus Honors**

This course is required for the student who wishes to take AP Calculus BC the following school year. Polynomials and rational functions are studied in-depth from both a mechanical and theoretical standpoint. The concept of a limit is breached early on in the course. From there, students complete a rigorous treatment of exponential, logarithmic and trigonometric functions. Sequences, series, and analytic geometry receive substantial treatment as well. Students receive extensive exposure to parametric curves and polar coordinates. Finally, students begin the study of differential calculus in which they work with both polynomial and transcendental functions.

**Functions, Statistics and Trigonometry**

This course bridges the gap between Algebra 2 and college mathematics courses such as statistics and calculus. Students approach linear, polynomial, and exponential functions from a real-life perspective, learn the basics of trigonometry and are introduced to elementary statistics. Upon successful completion of this course, students should be ready for either a basic college level course in elementary statistics or calculus.

**AP Calculus AB**

Students complete the College Board’s AB Calculus rubric which is akin to most first semester courses in Calculus offered at the university level. Limits and continuity, derivatives—their techniques and applications—single variable integration, computation of areas as well as the volumes of solids of revolution are covered. Among the theorems stressed in the course are the Intermediate Value Theorem, Extreme Value Theorem, Squeeze Theorem, Rolle’s Lemma, Mean Value Theorem, and The Fundamental Theorem of Calculus. Students in the course also spend about one month reviewing for the AP Exam.

**AP Calculus BC**

**SAS Statistics**

SAS Statistics covers much of the material taught in a traditional college introductory statics class but from a perspective of developing the tools that help students become an informed citizen. Students will learn about the methodology behind medical trials, political surveys, marketing campaigns and crucial sports metrics. Students enrolled in this SAS course will build a portfolio that looks at the statistical methods learned using the lens of a topic and a series of related questions of their individual interest.