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Academic Programs2020-2021 MATHEMATICS COURSESAlgebra 1 Credits 5Algebra 1 examines families of functions with particular emphasis on linear and quadratic functions in the real number system. Students learn to represent functions numerically, analytically, graphically and verbally. Topics include solving and graphing equations, inequalities and systems. Factoring quadratic functions is a major segment of the course. Application problems are solved throughout the course.Honors Algebra 1 Credits 5Honors Algebra 1 is for students of high ability and motivation in mathematics. Although it covers the same topics as Algebra 1, the treatment of topics is more extensive and the pace enhanced. There is greater emphasis on theory, in-depth understanding and complex applications. Additional functions and equations at the honors level include exponential, polynomial, radical functions, and rational functions. Quadratic factoring is at an advanced level.PREREQUISITE: Placement is based on the results of the Mathematics Placement Exam.Algebra 2 Credits 5Algebra 2 is the second course in the college prep mathematics curriculum. It extends the topics of Algebra 1 to the complex number system. Algebra 2 examines additional families of functions including polynomial, radical, and exponential functions.PREREQUISITE: Successful completion of Algebra 1 or Honors Algebra 1. Note the following:* AP test required+ Eligible for dual creditHonors Algebra 2 Credits 5Honors Algebra 2 is the second course in the honors mathematics curriculum. Although it covers the same topics as Algebra 2, the treatment of topics is more extensive and the pace enhanced. There is greater emphasis on theory, in-depth understanding and complex applications. Additional topics at the honors level include matrices, logarithmic and rational functions, and conic sections.PREREQUISITE: Honors Algebra 1 with minimum semester grades of 85 or Algebra 1 with minimum semester grades of 95. Note: Freshmen whose middle school transcript shows an Algebra 1 course may be placed in this course based on the results of the Mathematics Placement Exam.Geometry Credits 5Geometry is the third course in the college prep mathematics curriculum. The course develops reasoning and problem solving skills as the student studies topics such as congruence and similarity, and applies properties of lines, triangles, quadrilaterals, and circles. Special emphasis is given to the development of deductive and logical reasoning. Students also develop problem solving skills by using length, perimeter, area, circumference, surface area, and volume to solve real-world problems.PREREQUISITE: Successful completion of Algebra 2 or Honors Algebra 2.Honors Geometry Credits 5Honors Geometry is the third course in the honors mathematics curriculum. Although this rigorous course covers the same topics as college prep geometry, it is taught at an enhanced pace and depth with greater emphasis on theory, in-depth understanding and complex applications. Additional topics included at the honors level are a comprehensive introduction to trigonometry, coordinate geometry and transformational geometry.PREREQUISITE: Honors Algebra 2 with minimum semester grades of 85 or College Prep Algebra 2 with minimum semester grades of 93.Note: Freshmen whose middle school transcript shows a completed Geometry course may exempt this course based on their results on an Honors Geometry exemption exam.Pre Calculus Credits 5This course serves as a preparation for calculus and requires a strong basis in Algebra 2. Study begins with a comprehensive unit on trigonometric functions. The study progresses to conic sections, absolute value, and polynomial, rational, exponential and logarithmic functions.PREREQUISITE: Honors Algebra 2 with minimum semester grades of 77 or Algebra 2 with minimum semester grades of 85. Geometry must also have been successfully completed.Honors Pre Calculus Credits 5This rigorous course serves as a preparation for college level calculus. It covers the same topics as college prep precalculus including a comprehensive unit on trigonometric functions, conic sections, absolute value, polynomial, rational, exponential and logarithmic functions. These topics are taught at an enhanced pace and depth than at the college prep level, with greater emphasis on graphing and applicationsPREREQUISITE: Honors Algebra 2 with minimum semester grades of 85 or Algebra 2 with minimum semester grades of 93. Honors Geometry or Geometry must also have been completed with semester grades of 85 and 93 respectively. Introduction to Calculus Credits 5This course is intended as an introduction to Calculus for those students who have a strong knowledge of mathematics at the college prep level in the areas of Algebra, Geometry and Pre Calculus. The course extends the topics of Pre Calculus and includes continuity, limits, the derivative, integration and applications.PREREQUISITE: Pre Calculus with minimum semester grades of 85 OR completion of Honors Pre Calculus. AP Calculus AB * Credits 5This rigorous course is a college level Advanced Placement (AP) course. The course is intended for highly motivated students who have a strong knowledge of mathematics at an honors level in the areas of Algebra, Geometry, Trigonometry, and especially an in-depth understanding of functions and their graphs. The course topics include limits, continuity, differentiation, and integration with an emphasis on applications of the derivative and the definite integral. This course is the equivalent of one semester of college level calculus.PREREQUISITE: Minimum semester grades of 93 in Honors PreCalculus.AP Calculus BC * Credits 5AP Calculus BC is a rigorous course intended for students who have successfully completed the AP Calculus AB course. It extends the AB course with additional topics encountered in a Calculus II college course. Such topics include the cylindrical shell method, Euler’s Method, the logistic growth model, and arc length. Students learn advanced integration techniques including integration by parts, simple partial fractions, and improper integrals. Students apply calculus to parametric and polar functions. Students complete an extensive unit on the fourth big idea of Calculus, Sequences and Series. Students will use these concepts and the aid of a graphing calculator to model and solve real-life problems represented analytically, numerically, graphically, and verbally. PREREQUISITE: Minimum semester grades of 85 in AP Calculus AB. Introduction to Statistics + Credit 5This course provides an introduction to statistics and statistical practices. The course addresses methods of gathering, organizing, analyzing, presenting and interpreting data. Additional topics include correlation, regression, probability, binomial and normal distributions, sampling, estimation, hypothesis testing and confidence intervals. Applications of probability and statistics are stressed throughout the course.PREREQUISITE: Completion of Honors/College Prep Algebra 2.AP Statistics *+ Credit 5This rigorous course is a college level Advanced Placement (AP) course and carries the honors weighting. The course introduces students to the major concepts and tools for collecting, analyzing and interpreting data. These concepts and tools include graphical and numerical techniques for studying, analyzing and interpreting patterns and departures from patterns and the significance of such. It also includes formulating data collection plans to produce models from which valid inferences can be drawn and using probability and simulation to create models. Applications in the social sciences, business, economics and medicine are integrated throughout the course.PREREQUISITES: Honors or College Prep Algebra 2 with minimum semester grades of 85.Finite Math and Trigonometry Credits 5This course serves as a preparation for college mathematics and is intended for those students who will not take PreCalculus. The course extends the topics of Algebra 2 and introduces trigonometric functions and their applications. It concentrates on applications with additional topics including matrices, optimization through linear programming, financial applications, logic, combinatorics, probability and an introduction to statistics.PREREQUISITE: Completion of Honors/College Prep Algebra 2. ................
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