The ever-increasing complexity of our society, especially in the realm of science and technology, makes it imperative that the teaching of mathematics be strengthened and expanded. Progress toward this goal depends in part upon the successful integration of the new mathematics with the old to ensure that students acquire the fundamentals, while they are provided with an overview of the rapidly expanding frontiers in this field.
The mathematics curriculum consists of a sequence of courses that follow logically from the ninth through the twelfth grades, with advanced courses available for students who possess extraordinary ability in mathematical thinking. The goal of all mathematics courses is to teach students to:
- Make sense of problems and persevere in solving them.
- Reason abstractly and quantitatively
- Construct viable arguments and critique the reasoning of others
- Use appropriate tools strategically.
- Attend to precision.
- Look for and make use of structure.
- Look for and express regularity in repeated reasoning.
Algebra I:
Algebra I is the first course in the college preparatory mathematics program. Students learn basic algebraic concepts. They develop skills in simplifying expressions, solving equations, and practicing graphing linear and quadratic equations. They learn to manipulate variables as they develop a facility with signed numbers, simple factoring, and multiple formulas. Students will be introduced to basic concepts in statistics. This course provides the foundation for high school mathematics with a renewed emphasis on problem-solving.
Geometry:
This course covers a systematic study of the nature of deductive and analytical proofs. Students learn to establish congruence and similarity for triangles and other polygons. Special properties of isosceles, equilateral, and right triangles are explored in depth. Students study perimeters, areas, and volumes of a variety of geometric figures. They explore the concepts of perpendicular and parallel lines and planes. This course provides a traditional foundation in Euclidean geometry. Prerequisite: Successful completion of Algebra I.
Algebra II:
Algebra II reviews and expands on basic algebraic concepts and skills covered in Algebra I. Students learn a higher level of mathematical thinking and greater skill in working with numbers and algebraic expressions, equations, and inequalities. Topics of study include linear and quadratic functions, polynomials, rational exponents and radicals, rational functions, exponential and logarithmic functions, and sequences and series. Prerequisite: Successful completion of Algebra I.
Algebra for College Students
Algebra for College Students is a course for those who require additional mastery in algebra. It will prepare students for the basic College Algebra course required for all students in college. Topics will include linear functions, polynomial functions, rational functions, radical functions, and inverse, exponential, and logarithmic functions in addition to other Algebra topics. Prerequisite: Successful completion of Algebra II.
Pre-Calculus:
This course begins with an in-depth study of functions and their graphs, polynomials, and rational functions. Additional topics include exponential and logarithmic functions; sequences, series, and probability; and analytic geometry. This course will conclude with an intensive study of trigonometric functions, analytic trigonometry, and additional topics in trigonometry. This course is designed to prepare hardworking students who want to be challenged in mathematics. Prerequisite: Successful completion of Algebra II.
Honors Pre-Calculus:
This course begins with an in-depth study of functions and their graphs, polynomials, and rational functions. Additional topics include exponential and logarithmic functions; sequences, series, and probability; and analytic geometry. This course will conclude with an intensive study of trigonometric functions, analytic trigonometry, and additional topics in trigonometry. This course is designed to prepare hard-working students who want to be challenged in mathematics for the study of calculus. Lessons and homework assignments will include more rigorous mathematical thinking and problems than the non-Honors Calculus course. Prerequisite: A- or better in Algebra II or teacher recommendation.
AP Statistics:
The AP Statistics course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. There are four themes evident in the content, skills, and assessment in the AP Statistics course: exploring data, sampling and experimentation, probability and simulation, and statistical inference. Students use technology, investigations, problem-solving, and writing as they build conceptual understanding. The AP Statistics course is an excellent option for students who possess sufficient mathematical maturity and quantitative reasoning ability.
Prerequisite: Successful completion of Algebra II.
Calculus I:
Calculus I is an introductory calculus course that presents the concept of a limit as the foundation of calculus. This will lead to an exploration of both differential and integral calculus. This course is designed to prepare the student for a more advanced class in Calculus. Prerequisite: Successful completion of Pre-Calculus with a C or higher and teacher recommendation.
AP Calculus AB:
This course in the study of single-variable calculus covers all of the standard topics. Starting at the foundation, with a study of limits and continuity, then continuing on to a study of differentiation, including both methods and applications. Then move to integration, focusing on indefinite and definite integrals, including improper integrals, again studying both methods and applications.
Prerequisites: A- or better in Pre-Calculus or teacher recommendation.
AP Calculus BC:
This course in the study of single-variable calculus covers all of the standard topics. start at the foundation, with a study of limits and continuity, then continue to a study of differentiation, including both methods and applications. Then move to integration, focusing on indefinite and definite integrals, including improper integrals, again studying both methods and applications. Conclude with the study of infinite sequences and series, parametric curves and polar coordinates, and differential equations.
Prerequisites: Teacher recommendation only.