Mathematics Department

Math 7
Full Year

The goal of this course is to introduce students to algebraic thinking. Grade 7 math focuses on developing the following skill sets: applying proportional relationships, understanding of operations with rational numbers, working with linear expressions and equations, solving problems involving scale drawings and informal geometric constructions, working with 2- and 3-dimensional objects to solve problems involving area, surface area and volume, and drawing inferences about populations based on samples.

Math 8
Full Year

This course's purpose is to advance the concrete skills learned in elementary school through the application of the more abstract mathematical concepts of high school mathematics. Grade 8 math topics of study include: formulating and reasoning about expressions and equations, grasping the concept of a function, analyzing two- and three-dimensional space and figures, and understanding and applying the Pythagorean Theorem. (NOTE: Upon teacher recommendation, a small number of students may be able to bypass 8th grade math and take Algebra I.)

Algebra I
Grade 9 | 1 Credit

The primary goal of this course is to develop confidence and fluidity in dealing with algebraic expressions and equations. Algebra I extends the ideas formed in earlier courses with a focus on analyzing relationships between quantities and reasoning with equations, working with functions given by graphs, equations and tables, exploring systems of equations and inequalities, and operating with polynomials.

Geometry
Grades 9 – 10 | 1 Credit

The purpose of this course is to develop students' spatial and logical reasoning skills. This course involves primarily plane geometry with work in three dimensions. Topics of study include induction, deduction, elementary principles of logic, properties of lines, angles, polygons, circles, measurement, congruence, similarity, ratios, and proportions, as well as introductions to trigonometry, coordinate geometry, and formal proofs.

Algebra II
Grades 10 – 11 | 1 Credit

The purpose of Algebra II is to build upon the foundations of Algebra I. Advancing the concepts of linear, quadratic, and exponential functions, students extend their understanding of functions to include polynomial, rational, and radical functions, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms. Trigonometry may be introduced.

Pre-Calculus
Grades 11 – 12 | 1 Credit

This course is designed for students seeking higher mathematics in preparation for Calculus. Topics will include exponential and logarithmic functions, rational equations, conic sections, trigonometry and trigonometric applications, inverse trigonometric functions, probability, statistics, sequences and series including sigma notation, concluding with parametric equations and an introduction to limits. Prerequisite: Successful completion of Algebra II (Honors, Accelerated College Prep).

Calculus
Grade 12 | 1 Credit

This course enables students to study mathematical functions and the way they change. Topics include limits, functions, derivative of functions, applications of the derivative, curve sketching, analysis of graphs, areas under and between curves, integration of functions, transcendental functions, and applications of integration. Prerequisite: Successful completion of Pre-Calculus (Honors).

AP Calculus
Grade 12 | 1 Credit

This College Board Advanced Placement Calculus course engages students in collegiate level coursework emphasizing initiative and inquiry in preparing students for the College Board Advanced Placement Calculus Exam. Students enrolled in this course must take the AP Calculus Exam at the end of the academic year. Prerequisite: Pre-Calculus (Honors) and teacher/chair recommendation.

Statistics and Probability
Grades 11 – 12 | Full Year

This course is designed to provide a basic understanding of descriptive and inferential statistics. Topics include the measures of central tendency, standard deviation, combinations and permutations, probability, sampling, and various distributions. This course is aimed at students who have completed Algebra II and may be taken concurrently or in lieu of Pre-Calculus. Prerequisite: Successful completion of Algebra II (Honors, Accelerated College Prep).