| Mathematics
A minimum of three years of mathematics is required for all students. Students are encouraged to elect a fourth course. All students must complete courses through Algebra II. |
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| 211 Algebra I | Grade 9 | 1 Credit | ||||||||||
| This course introduces the real number system. Students will investigate sets and operations with real numbers, variables in open phrases, solving equations and inequalities, word problems, operations with polynomials, factoring polynomials, algebraic fractions, linear functions, and radical expressions. | ||||||||||||
| 215 Honors Algebra I/Geometry | Grade 9 | 1 Credit | ||||||||||
| Designed for students who have had a full year of Algebra in the eighth grade and passed the placement exam, this course will include an in-depth study of linear and quadratic equations, absolute value equations and inequalities, factoring techniques and formulas, exponents and radicals, problem analysis, and solution techniques for multi-variable systems to include graphical method, comparison, substitution, addition, and the use of determinants.
Euclidean Geometry is presented as a formal system of mathematics. Specific topics to be covered include congruent and similar triangles, parallel and perpendicular lines, polygons and circles, as well as areas, volumes, and total surface areas. PREREQUISITES: Completion of an Algebra I Placement Test, recommendation of eighth grade Algebra I teacher and department approval. A graphing calculator is required for this course. Recommendations: TI 83 plus or TI 84. Each semester must be passed independently. A student who receives a grade lower than a C at the end of the first semester will not be allowed to continue second semester in Geometry. The student will be reassigned to an Algebra I section to ensure a solid foundation is achieved by the end of freshman year. |
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| 220 Geometry | Grade 10 | 1 Credit | ||||||||||
| This course introduces and develops geometric concepts. Topics include angle-line relationships, triangles and triangle congruency and similarity, parallel lines, polygons, and circles. The relationship between algebra and geometry are stressed in the course. | ||||||||||||
| 221 Geometry | Grade 10 | 1 Credit | ||||||||||
| This course examines angle-line relationships, parallel lines and planes, congruent and similar polygons, right triangle trigonometry, circles, areas of plane figures, and the areas and volumes of solids. The concept of proof is used throughout the course; algebraic applications are mastered. | ||||||||||||
| 225 Honors Algebra II | Grade 10 | 1 Credit | ||||||||||
| This course begins with a brief review of the topics in Algebra I and continues with an in-depth analysis of the following topics: quadratic equations, linear functions, parametric equations, vectors, analysis of polynomials, complex numbers, conic sections and their use, matrix algebra, and exponential and logarithmic functions. The scientific/graphing calculator is used extensively. PREREQUISITES: “B” average in Honors Algebra 1/Geometry. A graphing calculator is required for this course. Recommendations: TI 83 plus or TI 84. | ||||||||||||
| 230 Algebra II | Grade 11 | 1 Credit | ||||||||||
| This course begins with a brief review of Algebra I. Topics for this course include operations with real numbers, solving equations and inequalities, word problems, linear functions, polynomial operations and factoring, rational expressions, systems of linear equations, complex numbers, conic sections, and graphing. | ||||||||||||
| 231 Algebra II | Grade 11 | 1 Credit | ||||||||||
| This course is designed as an extension of the topics covered in Algebra I. Advanced factoring techniques include the sum and difference of two cubes. The solution of equations and inequalities is extended to include the quadratic. Other topics include conic sections and their algebraic relationships, exponential functions, complex numbers, and systems of three linear equations. | ||||||||||||
| 235 Honors Pre-Calculus | Grade 11 | 1 Credit | ||||||||||
| A thorough preparation for A.P. Calculus. Topics include algebraic, exponential, logarithmic and trigonometric functions, matrices, conics, parametric and polar equations, vectors, and if time permits, limits and an introduction to Calculus. PREREQUISITES: “B” average in Honors Algebra II. A graphing calculator is required for this course. Recommendations: TI 83 plus, TI 84 or TI89. | ||||||||||||
| 240 Trigonometry | Grade 12 | 1 Credit | ||||||||||
| This course is designed for the student who has completed basic Algebra II but does not want to take Pre-Calculus.
The six trigonometric functions are defined as ratios of right triangles and also as coordinates of the unit circle. From this base further topics such as periodicity, graphing, trigonometric proofs, and inverse relationships are explored. Practical applications are emphasized through word problems and vector analysis. Complex numbers, exponential and logarithmic functions are also covered to help prepare the student for advanced college math courses. PREREQUISITES: Department approval. |
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| 241 Pre-Calculus | Grade 11/12 | 1 Credit | ||||||||||
| This course provides preparation for the college-level Calculus courses. Content focuses on a rigorous and in-depth treatment of trigonometry including vectors, trigonometric functions, equations, identities, graphs of functions, solutions of right and oblique triangles, and polar coordinates. Other topics dealing with Advanced Algebra include functions, theory of equations, analytic proofs, and conic sections. A graphing calculator is required for this course. Recommendations: TI 83 plus or TI 84. PREREQUISITES: “B” average in 231 Algebra II. | ||||||||||||
| 243 Algebra III | Grade 12 | 1 Credit | ||||||||||
| The focus of the course is to develop the students' ability to think critically and problem solve through further development of algebraic and geometric concepts, trigonometry, probability, and statistics. PREREQUISITES: Department approval. | ||||||||||||
| 245 Honors Calculus | Grade 12 | 1 Credit | ||||||||||
| An introduction to Calculus. Careful consideration is given to all elementary functions, their inverses, composition, and graphs as used in Calculus. The notion of limit is developed and used in the two basic problems of Calculus: the tangent line problem and the area problem. Topics include: limits, differentiation, integration, and applications. PREREQUISITES: “B” average in 241 Pre-Calculus or 235 Honors Pre-Calculus. A graphing calculator is required for this course. Recommendations: TI 83 plus, TI 84 or TI89. | ||||||||||||
| 246 A.P. Calculus (AB) | Grade 12 | 1 Credit | ||||||||||
| A thorough preparation for the Advanced Placement AB examination. Topics studied include: limits, derivatives of algebraic and transcendental functions and their applications in curve sketching, motion, optimization, and related rates. Antiderivatives and the definite integral are studied with applications in summation, average value, and differential equations. This course is designed to cover all material that would be covered in a one-semester college Calculus course. PREREQUISITES: “B” average in Honors Pre-Calculus and department approval. A graphing calculator is required for this course. Recommendations: TI 83 plus, TI 84 or TI89 | ||||||||||||
| 247 A.P. Calculus (BC) | Grade 12 | 1 Credit | ||||||||||
| A thorough preparation for the Advanced Placement BC examination. This course contains all topics from Calculus AB presented at a faster pace. Also included are parametric, polar, and vector functions, power series, and advanced integration methods. This course is designed to cover all material that would be covered in two semesters of college Calculus. PREREQUISITES: “A” average in Honors Pre-Calculus, or “B” average in AB Calculus, and department approval. A graphing calculator is required for this course. Recommendations: TI 83 plus, TI 84 or TI89. | ||||||||||||