programs

	Courses
	All students must complete a minimum of two years of mathematics. See specific graduation program requirements found in the beginning of this catalogue. In general, Mathematics College I level courses are taught with a more rigorous, in depth theoretical approach. College II level courses have a more practical, hands on initiative emphasis. MATH FUNDAMENTALS 9-12 Corequisite: Enrollment in math sequence course. This course is a workshop, which will support the student in the regular mathematics course. It is required of all students who have not passed the 8th grade MCAS exam. ALGEBRA I 5 Credits Full Year College I College II Prerequisite: Appropriate scores on the Algebra placement exam and teacher recommendation. This first year course is the formal introduction to Algebra. Topics covered include: patterns, operations, functions, systems of equations and inequalities, exponents and exponential functions, polynomials and factoring, quadratics, rationales, radicals, coordinate geometry, probability and statistics and transformations. ALGEBRA I 5 Credits Full Year College II Prerequisite: Appropriate scores on the Algebra placement exam and teacher recommendation. See above Algebra I description. ALGEBRA I A 5 Credits Full Year College II Prerequisite: Algebra I This is the first year Algebra I course taught over a two year time period. This slower paced course is intended for students who need extra time to be successful in Algebra I. Course content will be similar to Algebra I, College II level. This will cover one year of math toward the math requirements. ALGEBRA I B 5 Credits Full Year College II Prerequisite: Algebra I A this course will expand on earlier topics of the integrated mathematics program. Additional areas covered will be complex numbers, functions, the logarithmic and exponential functions and the binomial theorem. This will cover one year of math toward the math requirements. GEOMETRY 5 Credits Full Year Multilevel ( College I & II) Prerequisite: Algebra I or Algebra I A&B. Grades of 80% for College I or 70% for College II or consent of Math Department. This course may be selected as a College I or College II level course after consultation with the instructor. Topics covered include introduction to proof logic, parallels and polygons, congruence, perimeter, area volume, similarity, circles, trigonometry and applications. ALGEBRA II 5 Credits Full Year College I Prerequisite: A grade of 80% or better in Geometry to continue in College I level. A grade of 70% or better in Geometry to continue in College II level and teacher recommendation. This course is a continuation of Geometry. Topics include a variety of functions, linear functions, and representation of data, modeling with quadratic equations, polynomial, exponential and logarithmic functions, conic sections and an extensive study of trigonometry are also included. ALGEBRA II 5 Credits Full Year College II See above Algebra II description. MATH IV 5 Credits Full Year College I or College II Prerequisite: A grade of 80% or better in Algebra II to continue in College I level. A grade of 70% or better in Algebra II to continue in College II level and consent of Math Department. Modules presented I this course are chosen from a selection of discrete mathematics topics including cryptography and coding, game theory, graph theory, mathematics and architecture, applications of trigonometry, fairness and apportionment, mathematics and careers, investment and finance, and college placement test review. This course provides an application based approach to the study of mathematical modeling and provides a bridge from high school mathematics to mathematical applications commonly encountered in college, business and vocational trades. Statistics topics of this course include data analysis, probability, simulations, inferential statistics, normal and binomial distributions, techniques of sampling, confidence intervals, and hypotheses testing. Students use explanatory methods to identify patterns and make decisions. By using a hands-on approach and simulations, students gain a strong understanding of statistical concepts. Emphasis is placed on applications and the use of statistics to solve real life problems. ( TI83+ calculator is required.) PRECALCULUS 5 Credits Full Year College I Prerequisite: A grade of 80% or better in Algebra II or consent of Math Department. Pre-Calculus Mathematics. Similar in content to Honors Math III, but less theoretical. CALCULUS 5 Credits Full Year College I Prerequisite: Pre-Calculus or a grade of at least 90 in Algebra II and consent of the Math Department. An applicationoriented, investigative calculus course in which students are involved in both the development and solution of problem statements. Topics covered include a precalculus review, limits, differentiation and basic integration of functions including exponential, logarithmic and trigonometry, curve sketching and L’Hôpital’s Rule. Students use these concepts of calculus to solve problems in the context of real world applications using graphing calculators and computers when appropriate. MATHEMATICS I 5 Credits Full Year Honors Prerequisite: Honors level performance on the Algebra Placement Examinations and department selection. This is the first of two courses integrating the various branches of mathematics: Algebra, Geometry, probability and statistics as well as formal logic, which have been treated traditionally as separate courses. Logic has been included in the course as a necessary and desirable prelude to future mathematics work in other academic disciplines, and in everyday living. The principles and terminology of statistical analysis have been added to teach a method of ordering knowledge and understanding forces in today's world. MATHEMATICS II 5 Credits Full Year Honors Prerequisite: A grade of 80% or better in Mathematics I or consent of the Math Department. This course is a continuation of Mathematics I. In addition to the topics described in College Preparatory Math II, the students will be exposed to matrices, transformational geometry, complex numbers, the exponential and logarithmic functions, the binomial theorem, and circular functions (trigonometry). MATHEMATICS III (PRE-CALCULUS) 5 Credits Full Year Honors Prerequisite: A grade of 80% or better in Math II or consent of the Department. This course is for the student of aboveaverage mathematical ability. Topics covered include polynomials, logarithmic, exponential, and circular functions; limits, continuity, and an introduction to the derivative, and should give the student a firm foundation for Calculus. ADVANCED PLACEMENT (AB) CALCULUS 5 Credits Full Year Honors Prerequisite: A grade of 80% or better in Math III and consent of Math Department. * Students are required to take the exam in May. Payment for the exam is due to the principal at the end of September. The course topics include limits and continuity as well as differentiation and integration of polynomial, exponential, logarithmic, and trigonometric functions. Students will take the Advanced Placement (AP) Examination and earn a full semester of college credit, or advanced placement, or both. ADVANCED PLACEMENT (BC) CALCULUS 5 Credits Full Year Honors Prerequisite grade of 85% or better in Math III, consent of the Math Department and submission of assigned summer work by the first day of class. * Students are required to take the exam in May. Payment for the exam is due to the principal at the end of September. The course topics include those covered in the AB curriculum with the addition of polar and parametric equations, vectors, infinite series, and firstorder differential equations. Students will take the advanced Placement (BC) Examination and earn a full year of college credit, or advanced placement, or both. INTRODUCTION TO ROBOTICS 2.5 Credits Semester College I Prerequisite: Permission from instructor. In this new course, students will learn the history of Robotics. Students will learn the fundamentals of how robots work and will incorporate various concepts in science, technology, mathematics, and design through the building, programming, and testing of robots using RCX Robotics Equipment from M.I.T. Students will be responsible for keeping a journal throughout the course as a portfolio of their work.