Tappan Zee High School

Mathematics & Computer Science

The Mathematics and Computer Science Department at Tappan Zee High School follows the recommendations set forth by the New York State Education Department and the National Council of Teachers of Mathematics by offering courses in Mathematics and Computer Science for all students. Regents examinations are the final examinations in each of the following courses: Algebra I, Geometry, and Algebra II.

Algebra I Regents
Full Year, 1 credit
Prerequisite: Pre-Algebra
This is the first year of a three-year Regents sequence. This course will cover: solving linear equations and inequalities, descriptive statistics, exploring functions (linear, quadratic, exponential, absolute value, piecewise), systems of equations, operations with polynomials, factoring, and problem solving. This course culminates with the New York State Algebra Regents Examination in June.

Different levels of this course are available to support students who have difficulty in the subject area. A student’s math teacher and school counselor will work with the student to identify the appropriate level of support.

Geometry Regents
Full Year, 1 credit
Prerequisite: Algebra
This is the second year of a three-year Regents sequence. This course will cover Euclidean geometry with deductive transformational and similarity proofs, analytic geometry, constructions, circles and coordinate geometry, trigonometry, and measurement (including area, volume, and density). This course culminates with the New York State Common Core Geometry Regents Examination in June.

Geometry Regents Honors
Full Year, 1 credit
Prerequisite: Algebra Honors or Departmental Approval
This is the second year of a three-year Regents sequence. This course will cover Euclidean geometry with deductive  transformational and similarity proofs, analytic geometry, constructions, circles and coordinate geometry, trigonometry, and measurement (including area, volume, and density). In addition to studying the regular Regents material in more depth, extra topics will be included and additional projects given. This course culminates with the New York State Common Core Geometry Regents Examination in June.

Applications in Geometry
Full Year, 1 credit
Prerequisite: Algebra
This course will cover the topics of Euclidean Geometry from a “hands on” investigative approach. Students will practice Patty Paper Geometry, with a compass and straightedge for building constructions. Students will also use protractors to design and interpret angle relationships. This course will focus on applications of geometric theorems and concepts, with minimal focus on traditional geometric proofs. The course will combine concepts and processes from Algebra, while adding specific geometric relationships, to set up and solve equations. This course culminates with a local final exam in June.

Algebra II Regents
Full Year, 1 credit
Prerequisite: Geometry, Algebra II NR
This is the third year of a three-year Regents sequence. This course will delve deeper into the study of function, specifically absolute value, quadratic, polynomial and trigonometric exponential and logarithmic functions. The course also covers a deeper understanding of sequences and series, radical equations, and statistics, including regression analysis. The course also covers the introduction of the unit circle and sinusoidal curves, as well as probability and statistics, including regression analysis. This course culminates with the New York State Common Core Algebra 2 Regents Examination in June.

Algebra II Regents Honors
Full Year, 1 credit
Prerequisite: Geometry Honors or Departmental Approval
This is the third year of a three-year Regents sequence. This course will delve deeper into the study of function, specifically absolute value, quadratic, polynomial and trigonometric exponential and logarithmic functions. The course also covers a deeper understanding of sequences and series, radical equations and statistics, including regression analysis. The course also covers the introduction of the unit circle and sinusoidal curves, as well as probability and statistics, including regression analysis. In addition to studying the regular Regents material in more depth, extra topics will be included and additional projects given.  This course culminates with the New York State Common Core Algebra 2 Regents Examination in June.

Algebra II Non-Regents
Full Year, 1 credit
Prerequisite: Applications in Geometry, Geometry or Departmental Approval
This course is intended as a preparatory class for the Common Core Algebra 2 course which is required for a Regents diploma with advanced designation, or for those who would like a math course to prepare them for college but do not intend to major in mathematics. This course will cover models, linear relationships and functions, exponential and logarithmic functions, rational functions, quadratic relations, radicals and complex numbers. This course culminates with a local final exam in June.

Pre-Calculus
Full Year, 1 credit
Prerequisite: Algebra II Regents
This course would follow after successful completion of three years of Regents math courses. This course covers real number systems, analytic geometry, trigonometric functions, conics and transformations, parametric equations, functions, theory of polynomial equations including complex numbers, exponential and logarithmic functions, matrices and determinants, partial fractions. College credit will be available through SUNY New Paltz for this course. This course culminates with a local final exam in June.

Pre-Calculus Honors
Full Year, 1 credit
Prerequisite: Algebra II Honors and/or Departmental Approval
This course would follow after successful completion of three years of Regents math courses. This course covers real number systems, analytic geometry, trigonometric functions, conics and transformations, parametric equations, functions, theory of polynomial equations including complex numbers, polar coordinates, exponential and logarithmic functions, matrices and determinants, partial fractions, and sequences and series, vector analysis, and a brief introduction to differential calculus and applications. Approximately 20% of the course will cover the material in more depth or include additional topics. College credit will be available through SUNY New Paltz for this course. This course culminates with a local final exam in June.

Math Analysis
Full Year, 1 credit
Prerequisite: Algebra II
This course provides a fourth year of mathematics for seniors who have completed the Algebra II Regents course or the Algebra II Non-Regents course. It provides an opportunity for students to develop and maintain college level math skills in their senior year. The topics include real number analysis, quadratic equations, inequalities and absolute value equations and polynomials. Students will use applications of trigonometry, systems of equations, the laws of exponents and logarithms. Additional topics include SAT review and real-life financial math.

Linear Algebra
One Semester, 1/2 credit
Prerequisite:  Pre-Calculus H or Departmental Approval
Linear Algebra is a challenging college level course that introduces the students to a variety of topics:  matrix operations, systems of linear equations, determinants, Euclidean vector spaces, general vector spaces, inner product spaces, eigenvalues, eigenvectors, and linear transformations.  An emphasis will be placed on exploring the practical aspects and uses of Linear Algebra in relation to the real world and careers.  Students will experience a sample of the type of math that they will experience as a math major in college.

Calculus
Full Year, 1 credit
Prerequisite: Pre-Calculus and Departmental Approval
This course provides an introduction to the main concepts of Calculus, but it does not provide an opportunity for any college credit.  Topics include limits, continuity, derivatives and applications, integrals and applications, differential equations and slope fields. . This course is recommended for students who desire an introduction to college level Calculus. This course culminates with a local final exam in June.

Advanced Placement Calculus AB
Full Year, 1 credit
Prerequisite: Pre-Calculus or Pre-Calculus Honors and Departmental Approval
This rigorous and demanding college-level course in Calculus is equivalent to a one-semester course of first-year college level calculus. This course follows the College Board AP Calculus AB Course Exam Description, which is available for download at apcentral.collegeboard.org/courses. This limits, continuity, an in-depth study of the derivative including techniques of differentiation and applications of the derivative; the concept of the integral and applications of integration; the Fundamental Theorem of Calculus; differential equations, and slope fields. This course meets for an additional class period every other day. Students are expected to take the AP Calculus AB examination in May. College credit will be available through SUNY New Paltz for this course.

Advanced Placement Calculus BC
Full Year, 1 credit
Prerequisite: Pre-Calculus Honors and Departmental Approval
This face-paced and demanding course is the equivalent of a full first-year two-semester college level calculus course. This course follows the College Board AP Calculus BC Course Exam Description, which is available for download at apcentral.collegeboard.org/courses. This includes the topics of limits and continuity, differentiation, analytical and contextual applications of differentiation, integration and accumulation of change, differential equations, applications of integrations, parametric equations, polar coordinates and vector-valued functions, and infinite sequences and series. This course meets for an additional class period every other day. Students are expected to take the AP Calculus BC examination in May. College credit will be available through SUNY New Paltz for this course.

Advanced Placement Statistics
Full Year, 1 credit
Prerequisite: Algebra II Honors, Pre-Calculus (H) or department approval
This course introduces students to major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes: exploring data through observing patterns and departures from patterns, planning a study, anticipating patterns in advance, producing models using probability and simulation, statistical inference, and confirming models. All students enrolled are expected to take the Advanced Placement Statistical Examination in May. It is recommended that those students enrolled in the Science Research Course take the AP Statistics course. College credit will be available through SUNY New Paltz for this course.

Computer Science: Intro to Gaming
Full year, 1 credit
Prerequisite/Co-requisite: Algebra (No prior coding experience is necessary)
This course will give students an introduction to coding and gaming through experiences with a variety of programs such as Scratch, Construct3, Unity, Piskelap, and Animations and Games (CS Discoveries through code.org). Students will learn from hands on experience the process of coding for games and apps.

Computer Science I
Fall Semester, 1/2 credit
Prerequisite: Algebra, No Coding Experience Necessary
This introductory course will implement significant language features, programming practices and application programs using Python programming language. Topics covered include developing programs, logic, debugging code, graphics, variables, looping structures, lists, and dictionaries. Sophomores, juniors and seniors may elect to earn 3 college credits at reduced tuition rates from STAC.

Computer Science II
Spring Semester, 1/2 credit
Prerequisite: Computer Science I
This course expands the programming practices explored in Computer Science I. Students write programs using the Java programming language. Topics covered include variables, conditional control statements, loops, Strings, methods, classes and arrays. Sophomores, juniors and seniors may elect to earn 3 college credits at reduced tuition rates from STAC.

Advanced Placement Computer Science Principles
Full year, I credit
Prerequisite: Algebra, No prior coding experience necessary
AP Computer Science Principles (CSP) curriculum is a full-year, rigorous, entry-level course that introduces high school students to the foundations of modern computing. The course covers a broad range of foundational topics such as programming, algorithms, the Internet, big data, digital privacy and security, and the societal impacts of computing. Computing affects almost all aspects of modern life and all students deserve access to a computing education that prepares them to pursue the wide array of intellectual and career opportunities that computing has made possible. This course seeks to provide students with a “future proof” foundation in computing principles so that they are adequately prepared with both the knowledge and skills to live and meaningfully participate in our increasingly digital society, economy, and culture.

Advanced Placement Computer Science A (Java)
Full Year, 1 credit
Prerequisite: Computer Science, I, Computer Science II, Algebra II
Advanced Placement Computer Science A is equivalent to a first semester, college level course in computer science. This course continues with key Java programming concepts including loop structures, strings, methods, classes, inheritance, constructors, encapsulation, polymorphism and instantiation. The course introduces students to computer science with fundamental topics that include problem solving, design strategies and methodologies, organization of data, algorithms and social implications of computing. The AP Computer Science A course includes a minimum of 20 hours of hands on structured lab experiences to engage students in individual or group problem solving.

Computer Science Capstone (Honors)
Full Year, 1 credit, 11th or 12th grade
Prerequisite: AP Computer Science Principles or AP Computer Science Java can be repeated
The focus of this course is to provide a broad range of programming experience in the exciting field of Computer Science. Students will produce a portfolio of projects. The course will be project based and include applications to design computer programs that solve practical computational problems by programming the Web and writing data analysis programs in a modern high-level languages. Students will learn languages, tools, and techniques for developing interactive, dynamic web content. Throughout the course you will learn many fundamental concepts vital in the study of computer science through learning multiple languages including Python, web programming, data programming, iOS, Android and Swift.

Foundations of Algebra (9/10)
Full Year, 1 credit
This course is a foundational math class designed for students with interrupted formal education who require remedial math. It will prepare students for ELL Algebra 1A by covering basic mathematical skills and concepts through the English lens. This course will cover solving and graphing linear equations and inequalities.

Learning Center Math
Cycled, 0 credit
A lab-based extra help class where students have time to work on any problems they might have in their regular math class.

Virtual High School – Math
The following semester courses are also available through Virtual High School (VHS):
Mathematical Reasoning and Logic
Mathematics of Electricity
Number Theory

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