# Mathematics Department

The mathematics department offers a variety of levels to accommodate different learning styles and ability levels. Each course covers the same core curriculum, but the speed, depth, and individual responsibility differs from level to level. Each subsequent course builds on the content knowledge learned and adds new information necessary for mastery of the subject. Courses include a review of previous material and emphasizing problem solving, communication, reasoning, and making connections. Throughout the curriculum, creative and critical thinking are developed; inductive and deductive reasoning are explored; reading, listening, and computational skills are reinforced; and real world applications are examined through individual and cooperative learning activities. In each course Smart Board technology allows teachers and students to use the interactive and multimedia aspects of the integrated software, use the web, run educational software, and to make presentations. Considering importance of mathematics in daily activities and in future occupations, it is strongly recommended that students take four years of Mathematics.

#### Algebra I

211 – Algebra I, College Prep Level 1 – Two Semester Course

Students will use properties of real numbers to simplify numerical and algebraic expressions, will solve and apply equations and inequalities. Operations with polynomials, rational and irrational expressions, factoring, solving polynomial equations, graphing linear equations and inequalities, solving systems of linear equations, and radical equations will be covered. The interactive aspects of the Smart Board integrated software is used in this course. Placement in this course is determined by the Math Department.

212 – Algebra I, College Prep Level 2 – Two Semester Course

Algebra I is designed to improve the students’ math ability and to raise them to a higher level for college. Emphasis will be placed on mastering pre-algebra objectives prior to each algebraic concept. The students will review the computation of real numbers as they are introduced to the operations of variables, polynomials, and rational numbers. The students will learn to solve equations, inequalities, graphing linear equations and to be ready for the algebra needed in geometry. The interactive aspects of the Smart Board integrated software is used in this course. Placement in this course is determined by the Math Department.

216 – Algebra I, College Prep Honors – Two Semester Course

Students will cover the same material as in Level I, but in greater depth and at a quicker pace. The problems covered require increased critical thinking skills. The ability to communicate an algebraic concept is emphasized. The interactive aspects of the Smart Board integrated software is used in this course. Placement in this course is determined by the Math Department.

#### Geometry

221- Geometry, College Prep Level 1 – Two Semester Course

This geometry course consists of a structured presentation of concepts taught both inductively and deductively. Emphasis is placed on the need for and ability to solve problems using geometric and algebraic concepts. The course stresses the structure of lines, angles, triangles, polygons, and circles. Included in the course is a sufficient review of skills to maintain proficiency in Algebra. The interactive aspects of the Smart Board integrated software is used in this course. Department approval is required.

222 – Geometry, College Prep Level 2 – Two Semester Course

This level 2 Geometry course consists of a structured presentation of geometric concepts. Emphasis is placed on applications to problems presented. The course covers the concepts of lines, angles, triangles, polygons, and circles. The class is designed to improve students’ math abilities by reviewing algebraic concepts as applied to real world concepts. The interactive aspects of the Smart Board integrated software is used in this course. Department approval is required.

226 – Geometry, College Prep Honors – Two Semester Course

This Geometry course consists of the completion of various geometric proofs both through inductive and deductive reasoning. The course stresses the geometric concepts associated with lines, angles, triangles, polygons, and circles. The ability to communicate geometric concepts, both orally and in written form, is emphasized. The interactive aspects of the Smart Board integrated software is used in this course. Department approval is required.

#### SAT Grade Ten Mathematics Course

229 – SAT Grade Ten Mathematics Course – One Semester Course

This semester course provides the student with an opportunity to review the mathematical concepts of Algebra I and general test taking strategies in preparation for the PSAT and SAT. The interactive aspects of the Smart Board integrated software is used in this course. In addition, adjustments will be made to accommodate the new SAT Exam.

#### Algebra II

231 – Algebra II, College Prep Level 1 – Two Semester Course

This course reviews the concepts of Algebra I, including factoring, solving linear and quadratic equations, solving inequalities, and operations on polynomials, and rational expressions. Emphasis is also placed on solving radical equations, solving word problems, and graphing on the Cartesian coordinate system. A TI-84 Plus Silver Edition or TI-84 Plus C Silver Edition graphing calculator is required. The interactive aspects of the Smart Board integrated software is used in this course. Department approval is required.

232 – Algebra II, College Prep Level 2 – Two Semester Course

This course includes a review of Algebra I topics. In addition, the course stresses quadratic equations, radical equations, graphing and systems of equations as applied to real world applications. A TI scientific calculator is required. The interactive aspects of the Smart Board integrated software is used in this course. Department approval is required.

236 – Algebra II, College Prep Honors – Two Semester Course

Algebra II covers topics in algebra in a thorough way and presents groundwork in trigonometry. Emphasis will be placed on understanding the laws of algebra and the ability to demonstrate this understanding by solving linear, fractional, quadratic, radical equations and inequalities. Problem solving skills are stressed. Trigonometric topics covered will provide a foundation for students moving into Pre-calculus. A TI-84 Plus Silver Edition or TI-84 Plus C Silver Edition graphing calculator is required. The interactive aspects of the Smart Board integrated software is used in this course. Department approval is required.

#### SAT Grade Eleven Mathematics

239 – SAT Grade Eleven Mathematics – One Semester Course

This semester course provides students an opportunity to review the mathematical concepts of geometry and algebra in preparation for the SAT exam. The interactive aspects of the Smart Board integrated software is used in this course. In addition, adjustments will be made to accommodate the new SAT Exam.

#### Trigonometry

241 – Trigonometry, College Prep Level 1 – Two Semester Course

Topics include the introduction of circular trigonometry and its relation to applications of right triangle trigonometry. An in-depth study of triangles, trigonometric functions, identities, graphing and trigonometric equations is covered. A TI-84 Plus Silver Edition or TI-84 Plus C Silver Edition graphing calculator is required. The interactive aspects of the Smart Board integrated software is used in this course. Department approval is required.

#### College Preparatory Mathematics

242 – College Preparatory Mathematics, College Prep Level 2 – Two Semester Course

During the first term problems in algebra and geometry are reviewed in preparation for the SAT exam. The remainder of the course integrates algebra, geometry and trigonometry. Students will solve linear, absolute value equations and inequalities, fractional, and radical equations. Simplifying rational and radical expressions will be covered. The quadratic formula will be used to solve quadratic equations.

All types of lines and angles associated with a circle will be studied. Right triangle trigonometry, trigonometric functions, trigonometric graph, and trigonometric applications are included in this course. The complex number system which includes the imaginary unit will be studied to be able to solve quadratic equations with imaginary roots. The interactive aspects of the Smart Board integrated software is used in this course. Departmental approval is required.

#### Pre-Calculus

245 – Pre-Calculus, College Prep Level Honors – Two Semester Course

Topics include the introduction of circular trigonometry and its relation to applications of right triangle trigonometry. Emphasis is placed on graphing, and analytic concepts including identities and trigonometric equations. Students are expected to develop an understanding of advanced concepts related to functions; including logarithmic, exponential, and parametric functions. A TI-84 Plus Silver Edition or TI-84 Plus C Silver Edition graphing calculator is required. The interactive aspects of the Smart Board integrated software is used in this course. Department approval is required.

#### Introduction To Calculus

246 – Introduction to Calculus, College Prep Level Honors – Two Semester Course

This course introduces students to differential and integral calculus. Advanced algebraic topics, concepts of extrema, limits, derivatives, curve sketching, and antiderivatives and their applications will be covered. This course prepares a student to take an introductory calculus course in college. ATI-84 Plus Silver Edition or TI-84 Plus C Silver Edition graphing calculator is required. The interactive aspects of the Smart Board integrated software is used in this course. Department approval is required.

#### Advanced Placement Calculus

247 – Advanced Placement Calculus, College Prep Advanced Placement – Two Semester Course

This course provides an intensive college level study of Calculus designed to prepare students to take the Advanced Placement AB Calculus examination. This course follows Advanced Placement guidelines set by the College Board. Emphasis is placed on the rule of five in problem solving situations: analytic, algebraic, graphical, numerical, and verbal. Applications of derivatives and integrals using polynomials, trigonometric, exponential, and logarithmic functions as they relate to real world settings are presented. Derivatives, as rates of change, integrals as the limits of Riemann sums, the Fundamental Theorem of Calculus and its implications, the theory of limits and slope fields are topics of major study in the course. Use of graphing calculators to model, analyze, hypothesize, and construct proofs, using analytical methods, is an integral part of the course. Other topics include polar and parametric equations, differential equations, and related rates. A TI-84 Plus Silver Edition or TI-84 Plus C Silver Edition graphing calculator is required. The interactive aspects of the Smart Board integrated software is used in this course. Department approval is required.