# Mathematics Department Overview

**Mathematics Course Descriptions**

208 FOUNDATIONS OF ALGEBRA Grade 9 5.0 CR (Level: 0)

This course is the initial course of a two-course sequence designed to prepare students to successfully master the topics of algebra. The focus of the course is to develop a solid understanding of the mathematical concepts and algebraic processes that will serve as the foundation for the continued study of algebra. Emphasis will be placed on patterns, structure, and the properties of real numbers in the modeling and solution of real-world problems. Extensive instruction will be provided in the representation and solution of linear equations and inequalities. Understanding of linear relationships as expressed analytically, graphically, and numerically will also be a major focus of this course. Students who successfully complete Foundations of Algebra will then be prepared to enroll in Algebra 1.

210 ALGEBRA 1 Grades 9-10 5.0 CR (Level: 0)

Prerequisite: Foundations of Algebra or a score of 6-8 on the 9th grade scheduling matrix.

This course is the second of a two-course sequence designed to prepare students to successfully master the topics of algebra. The focus of this course is to extend student knowledge from the Foundations course, or grade 8 mathematics, to include the modeling and solution of non-linear functions and relationships. This will include the study of absolute value relationships, quadratics, and exponential functions and the approach will be multi-representational. A more comprehensive study of probability and statistical analysis will also be a focus of the course.

212 CP ALGEBRA 1 Grade 9-10 5.0 CR (Level: 1)

This course is designed for those who wish to pursue a college preparatory mathematics program. The course will provide students with a solid algebraic foundation that will prepare them for more advanced mathematics. Major units of study include: simplifying algebraic expressions, solving equations and inequalities of one variable, algebraic solutions to verbal problems, the arithmetic of polynomials and rational expressions, graphing linear equations and inequalities, introduction to the concept of functions and the algebra of roots and radicals.

214 H ALGEBRA 1 Grade 9 5.0 CR (Level: 2)

This course is designed as a rigorous course to accelerate students into the Honors track. Algebraic topics as listed in the algebra courses above will be investigated to a greater degree and the course will incorporate mathematical concepts needed for Honors Algebra 2.

220 ALGEBRA 2 Grade 11 5.0 CR (Level: 0)

Prerequisite: Algebra 1 and Geometry

This course is taken after completion of Algebra 1 and Geometry. New concepts are introduced as extensions of the principles covered in previous courses. Topics include: rational expressions, linear equations and models, coordinate geometry, radicals and exponents, problem solving with the quadratic formula, statistics and probability, arithmetic and geometric sequences/series, exponential and logarithmic functions, trigonometric laws and formulas. Word problems, which utilize these topics, are presented throughout the course.

221 CP ALGEBRA 2 Grades 10-11 5.0 CR (Level: 1)

Prerequisite: CP Algebra 1 and CP Geometry CP Algebra 2 and CP Geometry may be taken concurrently with an 85% or higher in CP Algebra 1

This course is the next step, after Algebra 1 CP and Geometry CP, for those in the college preparatory mathematics program. The course will continue to reinforce algebraic skills and further prepare students for more advanced mathematics. Major units of study include: advanced equation solving, operations and equations involving both rational and radical expressions, complex numbers, quadratic equations and graphs, polynomial functions, logarithmic functions, and introduction to trigonometry, basic statistics, and sequences and series. This is the highest level math course covered on the SAT’s, and is recommended for students planning on attending a four-year post-secondary school upon graduation.

223 H ALGEBRA 2 Grades 9-11 5.0 CR (Level: 2)

Prerequisite: H Algebra 1 and H Geometry H Algebra 2 and H Geometry may be taken concurrently

This course is recommended for students who plan to enter engineering, general technical, and liberal arts schools. Major units of study include the solution of equations and inequalities in both one and two variables, systems of equations and inequalities, polynomial, exponential, and logarithmic functions, conic sections, and imaginary and complex numbers. Sequences, series, combinatorics, probability, and trigonometry will also be examined as part of the curriculum. The use of graphing calculators is incorporated in this course.

230 GEOMETRY Grade 10-11 5.0 CR (Level: 0)

Pre-Requisite: Algebra I

This course is designed to provide students with a proficient understanding of the major concepts in plane geometry with some emphasis on deductive proof. Properties of lines, angles, triangles, circles, and quadrilaterals, as well as properties of three dimensional objects, will be studied in this course.

232 CP GEOMETRY Grade 10 5.0 CR (Level: 1)

Prerequisite: CP Algebra 1

This course focuses on Euclidean plane and solid geometry. A formal treatment of deductive proof is presented throughout the course. Problem-solving and critical thinking skills are honed through the study of segments, lines, angles, parallel and perpendicular lines, congruence and similarity, polygons, circles, area, volume, and both coordinate and transformational geometry.

234 H GEOMETRY Grade 10 5.0 CR (Level: 2)

Prerequisite: H Algebra 1

This course is a rigorous course which focuses on Euclidean plane and solid geometry. A formal treatment of deductive proof is presented throughout the course. Problem-solving and critical thinking skills are honed through the study of segments, lines, angles, parallel and perpendicular lines, congruence and similarity, polygons, circles, area, volume, and both coordinate and transformational geometry.

242 CP PRE-CALCULUS Grades 11-12 5.0 CR (Level: 1)

Prerequisite: CP Algebra 2 or H Algebra 2 and CP Geometry

This course is recommended for college preparatory students, but is an elective for others who have the necessary prerequisites. It is designed to prepare the student for college mathematics and combines trigonometry, advanced algebra, analytic geometry, and other pre-calculus concepts.

244 H PRE-CALCULUS Grades 10-12 5.0 CR (Level: 2)

Prerequisite: H Algebra 2 and H Geometry

This course is recommended for college preparatory students and accelerated mathematics students, but is an elective for others who have the necessary prerequisites. It is designed to prepare the student for college mathematics and combines trigonometry, advanced algebra, analytic geometry, and other pre-calculus concepts.

252 CP CALCULUS Grades 11-12 5.0 CR (Level: 1)

Prerequisite: CP Pre-Calculus or H Pre-Calculus

This course is designed to provide the student with a solid understanding of higher algebra involving coordinates, graphs, lines, and functions, as well as an overview of the fundamental process of differential and integral calculus. The focus will be in the practical aspects of calculus without the emphasis on mathematical proof. The goal of this class is to provide students with a solid background to enable them to enroll in a college level calculus course.

256 AP CALCULUS AB Grades 11-12 5.0 CR (Level: AP)

Prerequisite: H Pre-Calculus

This course is offered to students who have successfully completed Honors Pre-Calculus. Any student who has not completed Honors Pre-Calculus must obtain the permission of the instructor before electing this course. All students enrolling in the course are expected to sit for the administration of the Advanced Placement exam in May. There is a fee to take this exam. Topics that are emphasized in the course include: functions, graphs and limits, derivatives, interpretations and properties of definite and indefinite integrals, applications of integration, techniques of anti-differentiation, The Fundamental Theorem of Calculus, numerical approximations to definite integrals, first order separable differential equations and slope fields. After the administration of the AP exam in May, students will begin study of selected topics from AP Calculus BC. The use of a graphing calculator is required in this course. This course may not be audited. .

257 AP CALCULUS BC Grades 11-12 5.0 CR (Level: AP)

Prerequisite: AP Calculus AB

This course is offered to students who have successfully completed Advanced Placement Calculus AB. Any student who has not completed Advanced Placement Calculus AB must obtain the permission of the instructor before electing this course. All students enrolling in the course are expected to sit for the administration of the Advanced Placement exam in May. There is a fee to take this exam. Advanced Placement BC is a continuation of the topics studied in AP Calculus AB. Additional topics that are emphasized in the course include: the calculus of parametric, polar and vector functions, advanced techniques of integration, L’Hopital’s rule, improper integrals, Euler’s Method, the convergence of divergence of infinite series, Taylor and Maclaurin Series, and error bounds for approximations using infinite series. The use of a graphing calculator is required in this course. This course may not be audited.

258 CP STATISTICS Grades 11-12 5.0 CR (Level: 1)

Prerequisite: CP Algebra 2 and CP Geometry

This course will introduce students to the fundamental concepts of statistics and probability. The course will follow the same path as the AP Statistics course, except for the pace and the omission of a few concepts. It is highly recommended for anyone wishing to pursue such fields as psychology, economics, sociology, mathematics, business administration, education, health science, law, political science, public health, telecommunications, experimental sciences and the growing field of statistics itself. Topics discussed include data collection, graphs and frequency distributions, measures of central tendency, measures of dispersion, linear regression, probability, normal distributions, sampling distributions, the central limit theorem, confidence intervals, and many hypothesis testing techniques. The TI-83/84 graphing calculator is used in the course and it is highly recommended that students purchase a personal graphing calculator for use in class and at home. This course can be taken in conjunction with or completion of a higher math course.

260 AP STATISTICS Grades 11-12 5.0 CR (Level: AP)

Prerequisite: CP Algebra 2 or H Algebra 2 and CP Geometry or H Geometry

The primary purpose of this course is to certify that students have acquired a sufficient understanding of statistics in high school to receive credit and/or placement from colleges. All students enrolling in the course are expected to sit for the administration of the Advanced Placement exam in May. There is a fee to take this exam. The use of the TI-83/84 graphing calculator is required in this course and it is highly recommended that students purchase a personal graphing calculator for use in class and at home. The course is broken into four major categories: Exploring Data, Sampling and Experimentation, Anticipating Patterns, and Statistical Inference. The work in the course provides important analytical skills for those students wishing to pursue such fields as psychology, economics, sociology, mathematics, business administration, education, health science, law, political science, public health, telecommunications, experimental sciences and the growing field of statistics itself. Topics discussed include data collection, graphs, frequency distributions, measures of central tendency, measures of dispersion, linear regression, probability, normal distributions, sampling distributions, the central limit theorem, confidence intervals, Type I and Type II errors, power of the test, and many hypothesis testing techniques. This course can be taken in conjunction with or completion of a higher math course.

269 CP FINANCIAL ALGEBRA Grades 11- 12 5.0 CR (Level: 1)

Prerequisite: CP Algebra 1

This course enables students to extend and apply their Algebra 1 skills to the world of finance. It is essential in our fastmoving society to have a working knowledge of the fundamentals of financial planning and money management. In this course, students will study the mathematics inherent in most aspects of personal finance including: insurance, banking, credit, investments, income taxes, consumer awareness, and personal identity protection.