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Mathematics


Students are required to complete successfully the objectives of six credits of mathematics coursework but may elect up to eight credits. Aspects of mathematics that emphasize real-life situations are integrated regularly throughout all the mathematics courses. All courses are college preparatory and fully address the goals and objectives of the Massachusetts Curriculum Frameworks.

The Mathematics curriculum is structured to best address the broad needs of students. All courses are designed for students who learn best in an applied approach. The department advances five major goals for students, to learn to value mathematics as a tool to explore relationships between mathematics and the many disciplines it serves. To gain confidence in using mathematical power to make sense of new problem situations and the world in which we live. To develop ability in solving problem situations independently and in a cooperative group setting. Students are given opportunities to read, write and discuss ideas, use the signs, symbols, and terms of mathematics. Additionally, students are encouraged to gather evidence, make conjectures, develop and support rationale using mathematical reasoning.

The honors mathematics pathway moves from Algebra Two to Geometry to Advanced Algebra and Pre-Calculus with senior year expectation of Calculus/AP Calculus. Additional electives are available dependent upon student career plans. The majority of students follows a college preparatory pathway beginning with Algebra One but may elect Honors-level courses. The need for technological proficiency is recognized at all levels and in all courses. Students are encouraged and trained to use calculators to speed arithmetic calculations, for advanced analysis, and to explore relationships and concepts, visualize solutions, and promote hypothetical modeling of real-life situations. Additional methods utilizing computer software for exploration and analysis are also employed in all courses.

Mathematics

Grade 9

 

2001 – ALGEBRA I HON (GR 9) 2 CREDITS

This is a rigorous course in algebra, aligned to the Common Core, which introduces abstract concepts by the use of symbolism in which quantitative relationships can be stated in general terms. Emphasis is on the relationship of the real number system. Manipulation of symbols according to mathematical laws requires a thorough understanding of fundamentals. Particular areas of emphasis include factoring, powers, functions, and the solution of linear, simultaneous, and quadratic equations. Applications will be emphasized.

2002– ALGEBRA I CP1 - (Gr 9) 2 CREDITS

CP Algebra I is a course that is designed to provide a solid foundation of algebra following the Common Core where students learn variable notation, operations, manipulations, functional notation, linear functions, and modeling. Students also engage in the development of components to and the applications of quadratic equations and models. Applications of concepts will be explored. This course is appropriate and necessary as preparation for the Massachusetts Comprehensive Assessment System exam.

2003– ALGEBRA I CP2 - (Gr 9) 2 CREDITS

Algebra I is a course that is designed to provide a solid foundation of algebra following the Common Core Frameworks where students learn variable notation, operations, manipulations, functional notation, polynomial operations, linear functions, and modeling. Students also engage in the development of components to and the applications of quadratic equations and models.. This course is appropriate and necessary as preparation for the Massachusetts Comprehensive Assessment System exam.

2071– HONORS ALGEBRA II – (Gr 9) 2 CREDITS

This honors-level course is intended for students who are capable of benefiting from an accelerated and deeper treatment of the topics of an Algebra II-Trigonometry course in one year. Following the Common Core Frameworks, topics will include: properties and operations in the real number system, sequences and series, graphing and solving quadratic equations, systems of equations, functions, graphing first- and second-degree equations, and the elements of coordinate geometry. Students will learn to solve a wide range of problems using a graphing calculator.

Grade 10

 

2041 – GEOMETRY HON - (Gr 10) 2 CREDITS

The objective of this rigorous honors course is for students to develop an understanding of the mathematics of spatial forms and how this branch of mathematics lends itself to the art of reasoning. It places considerable emphasis on fundamental principles of logic and the role they play in the inductive and deductive processes. Following the Common Core Frameworks, basic definitions, postulates and theorems are critically examined and subsequently applied to a detailed study of angles, triangles, quadrilaterals, perpendicularity, and parallelism. Although mastery of concepts in two-dimensional geometry is the primary goal of the course, three-dimensional concepts are also introduced.

2042 – GEOMETRY CP1 - (Gr 10) 2 CREDITS

This college preparatory course will guide students in their understanding of the basic principles of geometry and help develop spatial visualization skills. It will allow time to develop deductive reasoning. Following the Common Core Frameworks, main topics will include: the study and analysis of the characteristics and properties of two-dimensional shapes, transformations, congruence, similarity, and measurement. Students will also develop an understanding of geometric and algebraic relationships through coordinate geometry as well as algebraic angle relationships. Emphasis is placed upon connected concepts useful for further career technical study.

2023 – INTEGRATED ALGEBRA & GEOMETRY CP2 - (Gr 10) 2 CREDITS

The course is designed to help students bring together topics of Algebra and Geometry, following the Common Core Curriculum Frameworks with direct connection to real-life application problems. Topics include: Cartesian coordinate systems, spatial understanding of geometric shapes and their properties, Pythagorean Theorem, systems of linear equations, parallel, perpendicular, and skew lines, angle relationships, and right triangle trigonometry. As the topics mirror state frameworks, students will apply concepts to open-ended questions that will apply directly to and maximize their likelihood of success on the 10th grade MCAS Mathematics examination.

2141 – ALGEBRA II HON (Gr 10, 11) 1 CREDIT

This honors-level course is intended for students who are capable of benefiting from an accelerated and deeper treatment of the topics of an Algebra II-Trigonometry course in one year. Following the Common Core Frameworks, topics will include: properties and operations in the real number system, sequences and series, graphing and solving quadratic equations, systems of equations, functions, graphing first- and second-degree equations, and the elements of coordinate geometry. Students will learn to solve a wide range of problems using a graphing calculator.

751 - MATHEMATICAL CONCEPTS – (Gr 10) 1 CREDIT

The goal of Mathematical Concepts is to strengthen and deepen students’ understanding of Common Core high school mathematical topics and standards. Students will also learn and implement effective test taking strategies that will prepare them for success on the MCAS and SAT.

Grade 11

2141 – ALGEBRA II HON (Gr 10, 11) 1 CREDIT

This honors-level course is intended for students who are capable of benefiting from an accelerated and deeper treatment of the topics of an Algebra II-Trigonometry course in one year. Following the Common Core Frameworks, topics will include: properties and operations in the real number system, sequences and series, graphing and solving quadratic equations, systems of equations, functions, graphing first- and second-degree equations, and the elements of coordinate geometry. Students will learn to solve a wide range of problems using a graphing calculator.

2073 ALGEBRA II CP2 - (Gr 11, 12) 1 CREDIT

Building upon an understanding of number systems and basic algebraic manipulations, students move through mastery of linear functions and non-linear phenomena. Following the Common Core Frameworks, students are engaged in individual and cooperative investigations and experiments demanding data collection and analysis. Using graphing calculators, the work is focused on the development of best-fit mathematical models that may be linear, quadratic, exponential, logarithmic, rational, radical, or periodic in nature.

2091 – PRE-CALCULUS HON - (Gr 11 & 12) 1 CREDIT

(Prerequisite: Successful completion of Algebra II) This course provides preparation for both the rigor and learning standards of a freshman collegiate mathematics elective. Standard pre-calculus topics are presented along with gaining knowledge of discrete mathematics and data analysis. Beginning with a review of algebraic properties, the course-work leads into in-depth application of algebraic and inverse functions, exponential and logarithmic functions, conic sections, matrices, determinants, and complex numbers and vectus operations

Grade 12

2073 ALGEBRA II CP2 - (Gr 11, 12) 1 CREDIT

Building upon an understanding of number systems and basic algebraic manipulations, students move through mastery of linear functions and non-linear phenomena. Following the Common Core Frameworks, students are engaged in individual and cooperative investigations and experiments demanding data collection and analysis. Using graphing calculators, the work is focused on the development of best-fit mathematical models that may be linear, quadratic, exponential, logarithmic, rational, radical, or periodic in nature.

2062 – TRIGONOMETRY CP1 - (Gr 12) 1 CREDIT

(Prerequisite: Successful completion of Algebra II and C.P. Geometry) This course represents the completion of a basic college preparatory sequence. Following the Massachusetts Curriculum Frameworks, topics of discussion include: real numbers and integers, polynomials and factoring, sequences and series, rational expressions, irrational numbers, simple radical expressions, exponents, and quadratic equations. This course focuses on problem- solving strategies and real-world application of mathematics. Algebra and geometry are woven together with topics from logical reasoning, measurement, statistics, trigonometry, and discrete mathematics. Linear and non-linear functions are regularly investigated through concrete experiments. The collection and analysis of real-life data with follow-up integration requires students to connect the major topics studied in Algebra and Geometry. Graphing calculators and computers are used regularly to enable modeling and validation of links between observed and abstract concepts.

2091 – PRE-CALCULUS HON - (Gr 11 & 12) 1 CREDIT

(Prerequisite: Successful completion of Algebra II) This course provides preparation for both the rigor and learning standards of a freshman collegiate mathematics elective. Standard pre-calculus topics are presented along with gaining knowledge of discrete mathematics and data analysis. Beginning with a review of algebraic properties, the course-work leads into in-depth application of algebraic and inverse functions, exponential and logarithmic functions, conic sections, matrices, determinants, and complex numbers and vectus operations

2101 – CALCULUS HON - (Gr 12) 1 CREDIT

(By special arrangement - Prerequisite: Successful completion of Pre-Calculus) This rigorous course will provide a solid foundation for students planning on studying mathematics-related topics in college. This elective develops the principal concepts of the differential and integral calculus of functions of one variable. Topics include: Exponential growth and decay, logarithmic functions, curve sketching and optimization. It is intended for students who plan on collegiate majors that will require advanced mathematical study. The concepts are presented in an intuitive manner with an emphasis on practical applications.

2122 – STATISTICS I CP1 - (Gr 12) 1 CREDIT

Statistics is the scientific tool for describing the world in which we live. In many ways, it is formalized common sense, requiring the use of many mathematical formulas and, occasionally, an algebraic equation. Statistics is a vital part of everyday life - necessary for starting a business, planning for your financial future, or simply understanding the daily news. It appears in all facets of life from opinion polls to economic reports to the latest in health research. Knowledge of statistics is crucial to success in the modern world. The course will begin with a broad overview, hinging ideas on hands-on everyday life applications. Simple examples will be built upon to develop a step-by-step understanding, which can then be applied to more complex studies. Computations will be employed utilizing graphing calculators, Ipads, computer spreadsheets, and specialized software. Throughout the entire course, the primary focus will be on case studies and projects. Readings, written reports, and cooperative work are significant components of this elective.

2100 AP Calculus AB -(Gr 12) 1 CREDIT The overall goal of this course is to help students understand and apply the three big ideas of AB Calculus: limits, derivatives, and integrals and the Fundamental Theorem of Calculus. Embedded throughout the big ideas are the mathematical practices for AP Calculus: reasoning with definitions and theorems, connecting concepts, implementing algebraic/computational processes, connecting multiple representations, building notational fluency, and communicating mathematics orally and in well-written sentences. All students are required to complete summer work reviewing precalculus and Algebra 2 concepts prior to entry in the course.

 

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Math Resources

Mathematics Faculty Contact Information

Jeffrey Griffin

Lead Teacher, Yearbook Advisor

Kori Anniballi

Teacher

Deborah Frank

Teacher

Katelyn Leahy

Teacher

Nelson Machado

Teacher, JV Boys Soccer Coach, Hockey Coach

Jeffrey Whitcomb

Teacher

Kevin Yarkosky

Teacher, Engineering Club Advisor