MATHEMATICS DEPARTMENT

4.0 credits are required for graduation.
The mathematics department strongly suggests that students who need a graphing/programmable calculator purchase a TI-83 PLUS or TI-84 or TI-89.
- See Mathematics Curriculum Flow Chart

Algebra I and 2
9
This one year course encompasses the traditional first year of algebra. Topics include operations and axioms for the set of real numbers and some of its subsets, solving linear equations and inequalities as well as systems of equations and inequalities, polynomials and factoring, rational expressions, functions, operations with radicals, fractional equations and quadratic equations.

Honors Algebra I and 2
9
This one year course consists of a more concentrated and in-depth study of the topics in Algebra 1 and 2.

Geometry 1 and 2
10
A traditional one year course in plane geometry covers the topics of reasoning and proof, perpendicular and parallel lines, congruent triangles, properties of triangles, quadrilaterals, similarity, right triangles and trigonometry, circles, areas of polygons and circles, surface area, and volume.

Honors Geometry 1 and 2
9 10
A one year course devoted to an in-depth study of the material from Geometry 1 and 2.
(PREREQUISITE:  SUCCESSFUL COMPLETION OF NDP PLACEMENT EXAM, OR A GRADE OF "B" IN HONORS ALGEBRA 1, OR A GRADE OF "A" IN ALGEBRA 1.)

Algebra 3 and 4
10 11 
A traditional second year algebra course. Includes a review of the more important topics from Algebra 1 and 2, polynomials, factoring, equations and systems of equations, applications and problem solving, fractional expressions, powers and roots, complex numbers, logarithms, sequences and series, and matrices. A programmable calculator is required.

Honors Algebra 3 and 4
9 10 11
A rigorous one year course includes such topics as systems of equations in three variables, radicals, complex numbers, sequences and series, polynomial and rational functions, quadratic relations and systems, exponential and logarithmic functions, permutations and combinations, probability and statistics, and matrices. A programmable calculator is required.
(PREREQUISITE:  GRADE OF "B" IN HONORS GEOMETRY 1 AND GRADE OF "B" IN HONORS ALGEBRA 1)

AP Statistics 1 and 2
11 12
This is an in-depth statistics course designed to replace one year of college statistics. The course will focus on exploring data, planning and conducting studies, anticipating patterns and estimating parameters while testing the student's hypothesis. The students will research using the Internet and will develop a study of their own. A programmable calculator is required for this course. Students will take an AP statistics examination at the end of the school year to determine if college credit will be received.
(PREREQUISITES:  HONORS ALGEBRA 3 AND A CO-REQUISITE OF HONORS TRIGONOMETRY OR HONORS PRE-CALCULUS AND TRIGONOMETRY)

Basic Statistics
11 12
A one semester course examines topics which includes frequency distributions, measures of central tendency, the normal distribution curve, permutations, combinations, probability, and hypothesis testing. It forms the foundation for a college statistics course. A programmable calculator is required.
(PREREQUISITE: HONORS ALGEBRA 3 OR ALGEBRA 3)

Trigonometry
11 12
This one-semester course includes a practical approach to the traditional theory and applications of trigonometry. Topics include radian measure, graphing, periodicity, inverse functions, identities, law of sines and cosines, and polar coordinates. A programmable calculator is required.
(PREREQUISITE: GRADE OF "C" IN ALGEBRA 3 OR HONORS ALGEBRA 3)

Pre-Calculus
11 12
This one-semester course includes a practical approach to the study of conic sections, functions (polynomial, rational, exponential, and logarithmic) and their graphs. Linear algebra and discrete mathematics are also included. A programmable calculator is required.
(PREREQUISITE: GRADE OF "C" IN ALGEBRA 3)

Basic Calculus
12
A non-rigorous one-semester look at Calculus examines topics which includes limits, differentiation, and integration. It forms the foundation for a college algebra or calculus class and is not intended for prospective science or engineering majors. A programmable calculator is required.
(PREREQUISITE: PRE-CALCULUS AND TRIGONOMETRY OR HONORS ALGEBRA 4 WITH HONORS TRIGONOMETRY)

Math for Business
12
This is a one semester course in which students review the basic math operations of addition, subtraction, multiplication, and division of whole numbers, decimals, fractions, and the use of percent. The purpose of the review is to help students develop competency in mathematics for business use as well as personal finance. Topics include personal banking, consumer credit, renting, buying a car and a home, insurance, income tax, investments, household accounts, budgeting, and analysis of statistical information, tables, and graphs. This course is NOT open to students in the honors math sequence or in calculus.

Honors Trigonometry and Pre-Calculus
10 11 12
A rigorous one year course for students who have taken Honors Algebra 3 and 4 consists of a much more concentrated and theoretical approach to the study of topics covered in the regular Trigonometry and Pre-Calculus. A programmable calculator is required.
(PREREQUISITE: GRADE OF "B" IN ALGEBRA 3 OR HONORS ALGEBRA 3)

IB Statistics I S
12
This one semester course is a thorough introduction to statistics.  The course work will cover topics such as gathering and interpreting data, correlation, design of experiments, probability, the chi-squared distribution and binomial functions.  In this class, students will learn the methods of gathering statistics as well as how to be conservative when reading statistics in the newspapers or magazines.  Students will do one major project during the course of the semester which will count towards their IB assessment.
(CONCURRENT ENROLLMENT IN AP CALCULUS 1)
(ONE SEMESTER CLASS - SPRING ONLY)

AP Calculus 1 and 2
12
This is a rigorous course that covers one year of traditional college material. The course is designed to give an intuitive understanding of the concepts while emphasizing its applications. It forms the foundation for many other mathematics and science courses in college. Calculus 1 is differential calculus and includes the following topics: limits, rules of differentiation (product rule, quotient rule, and chain rule), implicit differentiation, logarithmic differentiation, and derivatives of trigonometric and inverse trigonometric functions. Applications include slopes of tangents, curve sketching, increasing and decreasing functions, critical points, inflection points, extreme value problems, velocity and acceleration of particle, related rates problems, and Newton's Method. Calculus 2 is a continuation of Calculus 1 with an emphasis on integral calculus. Topics include integration (basic formulas, substitution by partial fractions and by parts), the definite integral, approximations to the definite integral, improper integrals, and L'Hopital's rule. Applications include area between curves, volume of a solid of revolution, surface area, arc length, and work. Sequences, series, and tests for convergence of series finish the course. A programmable calculator is required.  All students that complete AP Calculus 2 are required to take the AP Exam.  Students that do not maintain a "B" average in AP Calculus 1 can not continue to AP Calculus 2.  These students will be placed in Honors Calculus II.  
(PREREQUISITE:  "B" IN HONORS TRIGONOMETRY AND PRE-CALCULUS OR "B" IN HONORS ALGEBRA 3 AND "B" IN HONORS TRIGONOMETRY)

AP Calculus 1 and 2 (BC)/HL
12
This course includes all of the AP Calculus 1 and 2 (AB) content and additional topics required for the BC Advanced Placement and HL IB Mathematics programs.  Additional topics include:  Polynomial approximations, geometric series, harmonic series, alternating series, the ratio test for convergence and divergence, comparing series to test for convergence or divergence, Taylor series, Maclaurin series, power series, and Lagrange error bound for Taylor polynomials.
(PREREQUISITE:  "B" IN HONORS TRIGONOMETRY AND PRE-CALCULUS OR "B" IN HONORS ALGEBRA 3 AND "A" IN HONORS TRIGONOMETRY)
(THE COLLEGE BOARD ADVANCED PLACEMENT EXAM IS REQUIRED FOR ALL STUDENTS IN BC CALCULUS.  THE AP BC TEST IS RECOMMENDED FOR HL STUDENTS.)