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Mathematics Department ALGEBRA I, PART I (R) is designed for ninth grade students who need to review basic skills before beginning Algebra concepts. The entire Algebra I course will be taught in a 2-year period. Topics include the addition, subtraction, multiplication, and division of real numbers and polynomials. Students review operations in detail and learn basic terminology of algebra and geometry. Students with standardized math scores below the national percentile of 25 are required to take this course (1 credit) ALGEBRA I, PART II (R) is designed for tenth grade students who have completed Algebra I, Part I. Techniques of simplifying first and second degree polynomials, as well as techniques of problem solving (word problems), are developed. Simplification of rational expressions, a preliminary discussion of ideas relating to geometry, the solution of equations, and an introduction to irrational numbers are included. Prerequisite: Algebra I, Part I (1 credit) ALGEBRA I includes the addition, subtraction, multiplication and division of real numbers and polynomials. Techniques of simplifying first and second degree polynomials, as well as techniques of problem solving (word problems), are developed. Simplification of rational expressions, a preliminary discussion of ideas relating to geometry, the solution of equations, and an introduction to irrational numbers are included. Prerequisite: none (1 credit) ALGEBRA I (H) is an advanced study of addition, subtraction, multiplication and division of real numbers and polynomials. Techniques of simplifying first and second degree polynomials, as well as techniques of problem solving (word problems), are developed. Simplification of rational expressions, a preliminary discussion of ideas relating to geometry, the solution of equations, and an introduction to irrational numbers are included. Prerequisite: none (1 credit) GEOMETRY (Informal) (R) is designed for those students who have taken Introductory Algebra/Geometry their freshman year. This course would be scheduled during the junior year. This course stresses the development of a logical mathematical system through the use of deductive reasoning. Prerequisite: Introductory Algebra/Geometry and Algebra I (1 credit) GEOMETRY is designed for those students who have taken Algebra I. This course covers the development of a logical mathematical system through the use of deductive reasoning and students are also taught the logic necessary to prove theorems. An in-depth study of coordinate geometry is covered. Prerequisite: Algebra I (1 credit) ALGEBRA II and ALGEBRA II (H) involves manipulations of variables and real numbers similar to Algebra I on an advanced scale. Topics include polynomials, rational expressions, irrational and complex numbers, quadratic equations, functions, common logarithms, and work in the Cartesian coordinate system. Prerequisite: Algebra I (1 credit) ADVANCED MATH I Trigonometry will be taught the first semester. The advanced math topics taught the second semester will include sequences, series, the binomial theorem, synthetic substitution, limits, etc. Prerequisite: Geometry and Algebra II (1 credit) ADVANCED MATH II is designed for seniors who have completed Trig/Adv. Math in their junior year. Topics covered will include in-depth discussion of limits, sequences, series, binomial therom, and introduction to derivatives. Prerequisite: Trig/Adv. Math (1 credit) GEOMETRY (H) is offered for honors credit and is designed for those who have taken Algebra I Honors and Algebra II Honors. Topics from geometry normally covered in a yearly course are taught in one semester and trigonometry is taught the second semester. Topics covered in Trigonometry include the six trig functions and their inverses, their graphs, solving trig equations, and verifying trig identities. Prerequisite: Algebra II Honors (1 credit) INTERGRATED MATH III is a review of Algebra II. This course is designed to strengthen the basic manipulation skills needed by college-bound students. The second semester is devoted to the study of trigonometry and logarithms. The emphasis in Math II is on the basic skills and practical applications of math rather than the theory. This course does not count as a required math credit. (Open to seniors only) Teacher approval. Prerequisite: Algebra II (1 elective credit) PRE-CALCULUS (H) includes matrix theory, sequences, series, the factor theorem, and the binomial expansion theorem. Limits will be taught and the definition of derivative will be introduced. Prerequisite: Geometry (H) (1 credit) APPLIED MATH III is designed for those students who are not eligible for Math II, students who do not want to take advanced math classes, or students who want to take it concurrently with advanced math classes. Students will explore various techniques of problem solving as well as learn basic statistics and logic. This class focuses on team work. Students must be able to work with others. This course is an elective; teacher recommendation is required. Prerequisite: Algebra II (1 elective credit) AP CALCULUS (AB) is an intensive college-level study of differential and integral calculus of functions of one variable. Includes a full range of application problems. Topics included are limits of functions, integration, differentiation, and applications of derivatives and integrals. Students are required to take the AP test at the end of the school year. There is a fee associated with this course to cover the textbook and test costs. Teacher approval. (1 credit)
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