Math

1.0 credit                 Grades 9, 10, 11, 12             Full-Year

Prerequisite: None

Graduation Requirement Area: Math

This course is for students who need additional practice with pre-algebra topics and problem-solving skills before enrolling in Algebra 1. Topics to be studied include fractions and fraction operations, integers, proportions, percent, solving equations, probability, data analysis and graphs with graphing calculators and some algebraic concepts. The material will stress the use of hands-on activities. Evaluation of student performance may involve tests, quizzes, homework, and classroom participation.

*Note: Not approved as an NCAA core course in Math

1.0 credit                 Grades 9, 10, 11                   Full-Year       

Prerequisite: Applied Math or equivalent (note: students recommended for Applied Math may not override into Algebra 1 without teacher and department coordinator approval)

Graduation Requirement Area: Math

Topics to be covered include: properties of the real number system, properties of order, operations with polynomials, linear functions including graphing, operations with fractions, solving equations, linear systems, introduction to functions, and word problems. Extensive drill is provided through daily work in class and daily homework is required. Students entering this course should have competence in arithmetic skills. Technology, including the graphing calculator, is used throughout the course.

1.0 credit                 Grades 9, 10                        Full-Year       

Prerequisite: Applied Math or Math 8  (note: students recommended for Applied Math may not override into Algebra 1 without teacher and department coordinator approval)

Graduation Requirement Area: Math

This course is the first step of the college preparatory sequence of mathematics courses. The following topics are studied: algebraic expressions, functions, linear functions, systems of equations and inequalities, and exponential functions. The course is application-driven and incorporates several strands including arithmetic and geometric sequences, function characteristics, piecewise, absolute value, regression, and data analysis. Technology, including the graphing calculator, is used throughout the course. The A-level and B-level courses differ in pacing, topics covered, and depth of study.

1.5 credit                 Grade 9                               Full-Year (two full class periods S1; one full class period S2)   

Prerequisite: Math 8

Teacher recommendation required

Graduation Requirement Area: Math

Note: Overrides into this course are not permitted.

This course combines the foundational principles of algebra and geometry, providing students with a comprehensive understanding of both areas of mathematics. Students will explore key Algebra 1 concepts such as functions, linear equations, systems of equations, and exponential functions, alongside geometric topics including congruence, similarity, and right triangle trigonometry. The curriculum emphasizes the connections between algebra and geometry, helping students apply algebraic techniques to geometric problems and vice versa. Throughout the course, students will engage in real-world problem-solving, data analysis, and the use of technology, including graphing calculators. This course will meet in one full class period for the full year along with an additional full class period for first semester only. Upon successful completion of this course, students will be prepared to advance into Algebra 2 for the following school year and are expected to take Pre-Calculus thereafter.

1.0 credit                 Grades 10, 11, 12                 Full-Year       

Prerequisite: Algebra 1

Graduation Requirement Area: Math

This course presents Geometry through a more intuitive approach using exploration rather than more formal logical arguments to draw conclusions. Topics include two and three-dimensional figures in real-world applications, parallel lines, congruence, area, similarity, triangles and polygons, circles, and volume. Technology, including calculators and geometry software, is incorporated into the course.

*Note: Not approved as an NCAA core course in Math

1.0 credit                 Grades 9, 10, 11                   Full-Year       

Prerequisite: Algebra 1

Teacher recommendation required

Graduation Requirement Area: Math

This course studies area, perimeter, surface area, volume, building blocks of geometry, congruence, similarity, right triangle trigonometry, properties of triangles, and polygons. Algebra skills are embedded in each unit. The A-level and B-level courses differ in pacing and depth of study.

1.0 credit                 Grades 9, 10                        Full-Year       

Prerequisite: Algebra 1

Guideline: A- or higher in Algebra 1

Teacher recommendation required

Graduation Requirement Area: Math

This course covers all topics covered in Geometry A, but at a faster pace with more depth and rigor. In addition, Geometry Honors includes the study of paragraph proofs, coordinate proofs, and more challenging two-column proofs. Students are expected to not only have mastered the skills learned in Algebra 1, but also have a deep conceptual understanding of them as they are embedded in each unit in Geometry Honors.

1.0 credit                 Grades 11, 12                      Full-Year       

Prerequisites: Algebra 1 and Geometry, or Integrated Algebra 1 and Geometry A

Graduation Requirement Area: Math

This course builds upon and deepens the concepts introduced in Algebra 1. Topics include linear equations and functions with practical applications, an exploration of general function properties, absolute value equations and their graphs, quadratic functions and equations with real-world applications, exponential and radical expressions, and an introduction to polynomial operations and function graphing. The use of technology, including calculators, is integrated throughout the course to enhance learning.

*Note: Not approved as an NCAA core course in Math

1.0 credit                 Grades 9, 10, 11, 12             Full-Year       

Prerequisite: Algebra 1 and Geometry, or Integrated Algebra 1 and Geometry A 

Teacher recommendation required

Graduation Requirement Area: Math

Note: Algebra 2 A may be taken after completion of Algebra 1 and concurrently with Geometry with teacher and department coordinator approval.

Algebra 2 expands and extends the concepts taught in Algebra 1. This course examines quadratic and polynomial functions. The students will also take an in-depth look at circles, whole and rational exponents, radicals, and rationals. There will be an emphasis on effective and efficient problem-solving skills and it will incorporate the use of technology and real-life applications. The A-level and B-level courses will differ in pacing, variety of topics covered and the depth of study.

1.0 credit                 Grades 9, 10, 11                   Full-Year       

Prerequisite: Algebra 1, Geometry A or Geometry Honors

Guideline: B+ or higher in Geometry Honors

Teacher recommendation required

Graduation Requirement Area: Math

Note: Algebra 2 Honors may be taken after completion of Algebra 1 and concurrently with Geometry with teacher and department coordinator approval.

This course examines advanced Algebra topics in-depth and at an accelerated pace. There is a great deal of emphasis on conceptual understanding, effective and efficient problem solving skills, real life applications and technology integration. At the completion of Algebra 2 Honors, students will have thoroughly dealt with quadratics and polynomial functions along with some work with conic sections, whole and rational exponents, logarithms, inverse functions, and rational functions. Students will also have some exposure to entry level statistics.  Students in our Honors program have demonstrated diligence and success in learning mathematics at an accelerated pace, and have a strong desire to continue with formal studies in mathematics or mathematics-related fields. Successful Honors students have exhibited strong and consistent mathematics skills, problem-solving skills, and study skills in prior mathematics courses.

1.0 credit                 Grade 12                             Full-Year       

Prerequisite: Geometry

Graduation Requirement Areas: Math or Open STEAM; Financial Literacy requirement for class of 2027 and beyond (note: Financial Algebra can be taken to satisfy the Open STEAM and Personal Financial Management and Financial Literacy requirement simultaneously)

This course reinforces, maintains, and extends algebraic skills with an emphasis on real-life applications. Topics of study include, but are not limited to, income, banking, budgeting, credit/debt, housing, and taxation. Technology, including the graphing calculator and Microsoft Excel, is used throughout the course. Evaluation of student performance includes quizzes, classroom participation, and portfolios.

*Note: Not approved as an NCAA core course in Math

1.0 credit                 Grades 10, 11, 12                 Full-Year       

Prerequisite: Algebra 2

Guideline: B- or higher in Algebra 2 A to take Pre-Calculus A; B- or higher in Algebra 2 B to take Pre-Calculus B

Teacher recommendation required

Graduation Requirement Areas: Math or Open STEAM

This course is a study of functions. Students are expected to be proficient in the skills learned in Algebra 1 and Algebra 2 and be able to apply them to newly learned functions. This course will cover additional properties of functions, transformations of functions, rational, exponential, logarithmic, and trigonometric functions. Problem solving and mathematical modeling is a fundamental tenet of the course. The A-level and B-level courses differ in pacing and depth of study.

1.0 credit                 Grades 10, 11                      Full-Year       

Prerequisite: Algebra 2 A or Algebra 2 Honors

Guideline: B or higher in Algebra 2 Honors, or A or higher in Algebra 2 A with teacher recommendation

Teacher recommendation required

Graduation Requirement Areas: Math or Open STEAM

This course focuses on the concept of functions and emphasizes function theory. Rational, exponential, logarithmic, and trigonometric functions are discussed in detail. Other concepts covered in this course are trigonometric identities, law of sines and cosines, polar coordinates, equations and graphs, parametric equations and graphs, complex numbers, and vectors.  Problem-solving, mathematical modeling, and use of technology is stressed. Evaluation of student performance may involve tests, quizzes, homework, and projects. Students in our Honors program have demonstrated diligence and success in learning mathematics at an accelerated pace, and have a strong desire to continue with formal studies in mathematics or mathematics-related fields. Successful Honors students have exhibited strong and consistent mathematics skills, problem-solving skills, and study skills in prior mathematics courses. This course will require a summer assignment.

1.0 credit                 Grades 11, 12                      Full-Year       

Prerequisite: Pre-Calculus

Guideline: B- or higher in Pre-Calculus A, or A- or higher in Pre-Calculus B

Teacher recommendation required

Graduation Requirement Areas: Math or Open STEAM

This course is intended for students who want to learn the important concepts and skills of calculus but do not want to take the AP test. The materials used are the same, and the learning outcomes are similar to those of AP courses. The pace is slower, and the majority of AP topics are covered in less depth. Evaluation of student performance is based on tests, homework, and quizzes.

1.0 credit                 Grades 11, 12                      Full-Year       

Prerequisite: Pre-Calculus A or higher

Guideline: A- or higher in Pre-Calculus A, or B- or higher in Pre-Calculus Honors

Teacher recommendation required

Graduation Requirement Areas: Math or Open STEAM

This course is designed for students who plan to take the Advanced Placement Calculus examination, level AB. The course includes limit theory, differentiation and integration of algebraic and transcendental functions, as well as some of their applications. Areas of analytic geometry are also usually covered. Evaluation of student performance is based on tests, homework, and quizzes. After the AP examination, students study integration techniques to prepare for BC Calculus Plus. This course will require a summer assignment.   

1.0 credit                 Grades 11, 12                      Full-Year       

Prerequisite: Pre-Calculus Honors

Guideline: A- or higher in Pre-Calculus Honors

Teacher recommendation required

Graduation Requirement Areas: Math or Open STEAM

This course is designed for students who plan to take the Advanced Placement Calculus examination, level BC. Independent work on the part of the student, in addition to regular class work, is expected to achieve that goal. This course is considerably more extensive than Calculus AB, covering all AB topics plus additional topics such as infinite series, advanced methods of integration, arc length, polar coordinates, and parametric equations. Evaluation of student performance is based on tests and homework assignments. This is an intensive course for students who have demonstrated exceptional ability and achievement in prior math courses. This course will require a summer assignment.

1.0 credit                 Grades 11, 12                      Full-Year       

Prerequisite: AP Calculus AB

Teacher recommendation required

Graduation Requirement Areas: Math or Open STEAM

This course is offered to students who have completed AP Calculus AB and will include all of the topics in AP Calculus BC that are not part of the curriculum of AP Calculus AB along with an introduction to multivariable calculus. Students completing this course will have the option of taking the AP Calculus BC test. Major topics will include techniques of integration, infinite series, parametric, vector, and polar functions, solid analytic geometry, vectors in three space, partial differentiation, vector-valued functions and motion in space, and multivariable functions and their derivatives.

1.0 credit                 Grades 11, 12                      Full-Year       

Prerequisite: AP Calculus BC

Teacher recommendation required

Graduation Requirement Areas: Math or Open STEAM

This course is offered to students who have completed AP Calculus BC. Major topics will include parametric, vector, and polar functions, vectors and analytic geometry in space, vector-valued functions and motion in space, multivariable functions and their derivatives, partial differentiation, multiple integrals, integration in vector fields, including the Divergence Theorem and Stokes’ Theorem. Applications and the use of dynamic graphing software will be used to deepen understanding of material.

1.0 credit                 Grades 11, 12                      Full-Year       

Prerequisite:  AP Calculus BC

Teacher recommendation required

Graduation Requirement Areas: Math or Open STEAM

This course is a study of ordinary differential equations. Topics include solving methods for various types of differential equations, initial value problems, physical applications, systems of linear differential equations, series solutions, and LaPlace Transforms. Evaluation of student performance is based on assessments.  

.5 credit                   Grades 11, 12                      S1, S2    

Prerequisite: Algebra 2 B or higher

Guideline: B or higher in a B level course, or C or higher in an A level course                                                                                 

Graduation Requirement Areas: Math or Open STEAM

The course begins with an in-depth study of probability and relates those concepts to real world applications and games. Statistical topics include: uses and abuses of statistics, displaying data graphically, calculating mean, median, variance, and standard deviation, the normal distribution, Empirical rule, z scores, and percentiles. Evaluation will be based on tests, quizzes, homework, and projects.

.5 credit                   Grades 11, 12                      S2      

Prerequisite: Statistics & Probability

Graduation Requirement Areas: Math or Open STEAM

We are bombarded with data every day. Scientists, politicians, and policymakers use numbers to describe ideas, summarize positions, and persuade opinions. With the proliferation of numerical information comes an ever-growing need for statistical literacy. In this course, students will learn how statistical methods are used to analyze data and make inferences about the world around us. Students will also investigate the challenges and pitfalls of experimental design and the ethical questions surrounding statistical research, leading to discussions of how statistics have led to both great achievements and embarrassing blunders. Students will learn how to read and interpret real-world statistical studies as well as how to formulate their own questions and analyze them using statistical methods.

1.0 credit                 Grades 10, 11, 12                 Full-Year       

Prerequisite: Algebra 2 A or Algebra 2 Honors

Guideline: A or higher in Algebra 2 A, or B or higher in Algebra 2 Honors

Teacher recommendation required

Graduation Requirement Areas: Math or Open STEAM

This course is designed for students who plan on taking the Advanced Placement Statistics exam. The course centers on exploring data using simulation and probability theory to anticipate patterns, planning a study, and using statistical inference to confirm hypothesis. Evaluation will be based on tests, quizzes, homework, and projects.

.5 credit                   Grades 11, 12                      S1, S2    

Prerequisite: Algebra 2 B or higher

Guideline: B or higher in a B-level course, or C or higher in an A-level course                                                                             

Graduation Requirement Areas: Math or Open STEAM

This course will include a variety of topics not found in traditional high school math courses. The course is designed for students who have demonstrated the analytical and logical thinking required of a successful math student. The intent is to demonstrate a connection between mathematics and society. Topics studied include graph theory, the mathematics of voting and apportionment, logic, recursive functions, cryptography, chaos theory, fractal dimension, and matrices. Evaluation will be based on class work, tests, quizzes, homework, and projects.

1.0 credit                 Grades 11, 12                      Full-Year       

Prerequisite: Completion of Algebra 2 B or higher or taken concurrently with Algebra 2 with teacher recommendation 

Graduation Requirement Areas: Math or Open STEAM

This course presents the whole accounting cycle for both a service business organized as a proprietorship and a merchandising business organized as a corporation. Topics studied include the accounting equation, recording and analyzing transactions, cash control systems, posting to ledgers and journals, payroll, and financial statements. In addition, topics such as ethics, accounting in the real world, business structures, and accounting and career exploration are also covered. Evaluation will be based on assessments, homework, class work, working papers, and simulations. This is a great class for students planning to study business in college or for those who would someday like to be a business owner.

*Note: Not approved as an NCAA core course in Math

.5 credit                   Grades 11, 12                      S1, S2    

Prerequisite: Algebra 2 B or higher

Guideline: C or higher in Algebra 2 A or Algebra 2 B                                                                                             

Graduation Requirement Areas: Math or Open STEAM; Financial Literacy requirement for class of 2027 and beyond (note: Personal Financial Management can be taken to satisfy the Open STEAM and Personal Financial Management and Financial Literacy requirement simultaneously)

Note: Space in this course is limited and priority is given to seniors.  Juniors may take this course in first semester only.

This course is intended to help students develop an understanding of financial literacy. It is designed to prepare students to manage money and make informed financial decisions in their own lives. A focus of the course will be the effective use of mathematics as a tool in developing financial literacy skills. Critical thinking, problem-solving, and clear communication of ideas will be emphasized. Topics studied include earnings, banking, credit cards, taxes, insurance, investing, loans, budgeting, and buying personal property. Evaluation will be based on assessments, homework, class work, projects, and simulations.

*Note: Not approved as an NCAA core course in Math

.5 credit                   Grades 11, 12                      S2      

Prerequisite: C or higher in Personal Financial Management

Graduation Requirement Areas: Math or Open STEAM

This course is intended to further student knowledge in financial literacy with emphasis on the financial life cycle. The course will build upon and extend topics introduced in Personal Financial Management, such as, financial goal setting, investments, insurance and retirement planning. In addition, students will be introduced to the financial tools used in wealth creation, protection and distribution.

*Note: Not approved as an NCAA core course in Math

1.0 credit                 Grades 8, 9, 10, 11               Summer         

Prerequisite: Algebra 1

Graduation Requirement Area: Math

Note: This course is offered during the summer through Westport Continuing Education for credit recovery or advancement. Staples students seeking to enroll must obtain prior written approval from their school counselor and the math department coordinator. The school counselor and department coordinator indicate their approval via signature on the Westport Summer School Registration Form.

This course studies area, perimeter, surface area, volume, logic, building blocks of geometry, congruence, similarity, right triangle trigonometry, and properties of triangles, polygons, quadrilaterals and circles.  Algebra skills are embedded in each unit.

.5 credit                   Grades 11, 12                      Summer         

Prerequisite: Algebra 2 B or higher

Guideline: C or higher in Algebra 2 A or Algebra 2 B                                                                                             

Graduation Requirement Areas: Math or Open STEAM; Financial Literacy requirement for class of 2027 and beyond (note: Personal Financial Management can be taken to satisfy the Open STEAM and Personal Financial Management and Financial Literacy requirement simultaneously)

Note: This course is offered during the summer through Westport Continuing Education. Staples students seeking to enroll must obtain prior written approval from their school counselor and the math department coordinator. The school counselor and department coordinator indicate their approval via signature on the Westport Summer School Registration Form.

This course is intended to help students develop an understanding of financial literacy. It is designed to prepare students to manage money and make informed financial decisions in their own lives. A focus of the course will be the effective use of mathematics as a tool in developing financial literacy skills. Critical thinking, problem-solving, and clear communication of ideas will be emphasized. Topics studied include earnings, banking, credit cards, taxes, insurance, investing, loans, budgeting, and buying personal property. Evaluation will be based on assessments, homework, class work, projects, and simulations.

*Note: Not approved as an NCAA core course in Math