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Mathematics

The Mathematics Department curriculum is designed to encourage students to develop a rich variety of mathematical concepts to understand the spatial and quantitative dimensions of the world in which they live and to appreciate the logical principles that inform those concepts. The department provides a program of study that acknowledges different students' varying aptitudes for this discipline. Therefore, different levels are offered in several courses; placement in any specific level requires the permission of the department. The diploma requirement is fulfilled through successful completion of Geometry and Algebra 2.

(MAT1) MATH 1 — ALGEBRA 1

This course introduces students to the power of mathematical abstraction. Most of the work is grounded in concrete, real-world situations. We attempt to represent these situations in as many ways as possible, most importantly using graphs, symbols, tables, diagrams, and the English language. Topics include a variety of functions, including linear, quadratic, exponential, rational, square root, and absolute value. The graphing calculator is used extensively.

MAGH - Honors,
MAGR - Regular
MATH 2 - GEOMETRY

Students come to this course with a substantial store of information about geometric relationships gained through informal experiences. This course will structure and extend their knowledge base by emphasizing an axiomatic development of these relationships. Topics include parallel lines, congruent triangles, polygons, similar figures, circles, and areas and volumes.

 

MA31 - Honors
MA32 - Regular
MA33 - Foundations
MATH 3 — ALGEBRA 2

This course builds upon and extends the skills developed in Elementary Algebra. Emphasis is placed upon both visual and symbolic analyses of linear, quadratic and exponential functions. The graphing calculator is used extensively. Topics include data analysis, sequences and series, conic sections and the properties of real numbers.

MA41 - Honors
MA42 - Regular
MA43 - Foundations
MATH 4 - Functions With Mathematical Modeling

Mathematics has provided tools essential to the solution of problems from a variety of other disciplines including economics, physics and biology. At the same time, it is an intellectual discipline whose structure is worthy of study independently of applications. These complementary facets of mathematics will be studied in this course. We will analyze data and create abstract mathematical models to solve problems from the natural and social sciences, and we will examine in depth the structure and character of polynomial, exponential, logarithmic and trigonometric functions.

MA51 - A.P.
MA52 - Regular
MA53 - Foundations
MATH 5 - CALCULUS WITH MATHEMATICAL MODELING

We will use limits of infinite processes to develop differential and integral calculus, and we will use these concepts to create mathematical models. As in Math 4, the emphases are complementary; the abstract properties of elementary functions are re-examined in light of these new techniques, and the problems drawn from the natural and social sciences provide opportunities to apply these techniques.

MA5S1 - A.P.
MA5S2 - Regular
(MA5S) MATH 5S - STATISTICS

Statistics is the science of collecting, organizing and interpreting data. With this in mind, students in this course will learn how to design experiments, to gather data, and then to interpret that data. The topics include distributions, sampling, bias, and hypothesis testing. Computers and graphing calculators will be used throughout the course. (Prerequisite: Math 4.)

(MA5/6) MATH 5/6 - BC CALCULUS

Limits of infinite processes are used in this course to study rates of change and areas under curves. The properties of elementary functions are re-examined in light of the techniques of differential and integral calculus and are applied to problems from the natural and social sciences. Topics also include infinite series and an introduction to differential equations. (Prerequisite: Math 4 and permission of the Department.) (Prepares students for the BC Advanced Placement Examination.)

MAT61 - A.P.
MAT62 - Regular
MATH 6 - FURTHER TOPICS IN CALCULUS

The topics developed in calculus are reinforced and extended. Additional techniques of integration, convergence and divergence of infinite series, and differential equations are studied, and programming in BASIC is used extensively. (Prepares students for the BC Advanced Placement Examination.)

(MAT7F) MATH 7A - ADVANCED TOPICS (Semester 1)
(MAT7S) MATH 7B - ADVANCED TOPICS (Semester 2)

The topics for the Math 7A and Math 7B courses are determined by the teacher and the students. Topics offered in the past include abstract algebra, differential equations, multivariable calculus, probability, advanced geometry, and linear algebra. (Enrollment by permission of the Department.)

(MADDH) MATH D - INTRO TO DISCRETE MATHEMATICS WITH MODELING (Half Course)
(MADDF) MATH D - INTRO TO DISCRETE MATHEMATICS WITH MODELING (Semester 1)
(MADDS) MATH D - INTRO TO DISCRETE MATHEMATICS WITH MODELING (Semester 2)

Inspired by problems from the fields of business and the social sciences, this course focuses on optimization questions: "How many ATM machines should a bank install to reduce customer waiting time?" "Is drug testing of college athletes fair?" "How can we achieve maximum profit?" "How can we minimize cost?" Topics will include sensitivity analysis, linear programming, transportation models, networks, and scheduling, regression analysis, simulation and probability. The computer will be used extensively. (Prerequisite: Math 4)