Mathematics & Computer Science

Full Year, 1 credit
Prerequisite: Pre-Algebra/Math 8
This is the first year of a three-year Regents sequence. This course will include 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.

This course is available with support for 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.

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 Algebra 1 by covering basic mathematical skills and concepts through the English lens. This course will cover solving and graphing linear equations and inequalities.

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 Geometry Regents Examination in June.

Full Year, 1 credit
Prerequisite: Algebra Honors with a grade of 90 or higher and Departmental Approval
This is more rigorous treatment of the second year of a three-year Regents sequence. This course will cover Euclidean geometry with deductive proofs, transformations, analytic geometry, constructions, coordinate geometry, trigonometry, and measurement. Geometry Honors challenges students to think critically and apply geometric concepts. Extra topics will be included, and additional projects beyond the Regents curriculum will be included. This course culminates with the New York State Geometry Regents Examination in June.

Full Year, 1 credit
Prerequisite: Algebra I Regents
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.

Full Year, 1 credit
Prerequisite: Geometry Regents, 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 Algebra 2 Regents Examination in June.

Full Year, 1 credit
Prerequisite: Geometry Honors and 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 Algebra 2 Regents Examination in June.

Full Year, 1 credit
Prerequisite: Applications in Geometry, Geometry Regents or Departmental Approval
This course is intended as a preparatory class for the Algebra 2 Regents 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, complex numbers, and trigonometry. This course culminates with a local final exam in June.

College Course Name: Pre-Calculus
TZHS Full Year, 1 credit
Opportunity to earn 4 credits from SUNY New Paltz
Prerequisite: Algebra II Regents
This course follows 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, brief introduction to limits. College credit will be available through SUNY New Paltz for this course. This course culminates with a local final exam in June.

Full Year, 1 credit
Prerequisite: Algebra II non-Regents, Algebra II Regents with lab by teacher recommendation.
This course is designed for students completing Algebra 2 non-Regents. This is an introductory Statistics course focusing on elementary skills from topics such as Descriptive Statistics, Sampling and Experimentation, Probability and Inferential Statistics.  Students will explore and analyze data, sampling and experimentation by planning and conducting studies.  Students will also develop communication and collaboration skills to make predictions using data-based arguments.  This course is designed for students completing Algebra 2 non-Regents.  

College Course Name: Pre-Calculus
TZHS Full Year, 1 credit
Opportunity to earn 4 credits from SUNY New Paltz
Prerequisite: Algebra II Honors and Departmental Approval
This course follows 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.

Full Year, 1 credit
Prerequisite: Algebra II non-Regents or teacher recommendation
This is an elective, 12th grade course, not open to students who have completed Pre-Calculus
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. Math Analysis builds upon skills learned in Algebra II to prepare students to take college level Pre-Calculus. 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.

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, and an introduction to differential equations. This course is for students who desire an introduction to college level Calculus and culminates with a local final exam.

College Course Name: Calculus 1
TZHS Full Year, 1 credit
Opportunity to earn 4 credits from SUNY New Paltz
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 includes 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.

College Course Name: Calculus 1 and Calculus 2
TZHS Full Year, 1 credit
Opportunity to earn 8 credits from SUNY New Paltz
Prerequisite: Pre-Calculus Honors and Departmental Approval
This fast-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.

College Course Name: Introduction to Statistics
TZHS Full Year, 1 credit
Opportunity to earn 3 credits from SUNY New Paltz
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: Descriptive Statistics (describing main features of a collection of data); Sampling and Experimentation (planning a study); Probability; and Inferential Statistics (drawing conclusions from data that goes beyond the data itself). 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.

Full Year, cycled, 1/2 credit
Prerequisite: None
FIRST Robotics I is designed to provide students with a rigorous science and technology course that explores advanced robotics design, construction, and software systems. Research has shown that students who participate in FIRST are very likely to express a greater understanding of how STEM is used to address problems in the world. This full year course provides students with a project-based approach to learning tasks in the areas of computer science and engineering. The class will have various pathways for students to explore depending on their previous experience. Newer programmers and designers will engage in skill-building modules to learn more about computer science and/or design. More experienced students will work more in a capstone-style approach in which they extend their learning into advanced understandings in the field of robotics design and/or software control.

Full Year, cycled, 1/2 credit
Prerequisite: FIRST Robotics I (9, 10,11, and 12)
FIRST Robotics II  will expand the concepts explored in FIRST Robotics I. Students will engage in advanced skill-building modules about CAD/CAM design, CNC machining, building and assembling robot parts, and implementing software systems including vision processing, command-based programming, pathfinding, and the roboRio. More experienced students will work more in a capstone-style approach in which they extend their learning into advanced understandings in the field of robotics design and/or software control.

Fall Semester, or Cycled Full Year, ½ credit
Note: If chosen as a Fall semester course it would be selected in sequence with Computer Science II in the Spring. 

Do you want to learn how hackers think, how AI works and how you can use technology to solve real-world problems? This class is your launchpad into two of the fastest-growing fields in tech: Cybersecurity and Artificial Intelligence (AI). In this course, you won’t just talk about cybersecurity, you’ll actually step into the Cyber Range, a virtual training environment used by real cyber professionals. Students will develop foundational technical skills while learning to think critically about digital safety, data, and intelligent systems. We will also dive into AI and explore the technology behind smart assistants, self-driving cars, viral filters, and more. Students will explore both generative AI and predicative AI, gaining insight into how machines learn, recognize patterns, and create new content. You will train models, test them, and learn how AI is shaping the world around you. 
 

Spring Semester, 1/2 credit (9,10, 11,12) 
Prerequisite: Introduction to CyberSecurity and Artificial Intelligence
Do you want to build apps, create games, design cool projects, or get a head start on AP Computer Science? Java is one of the most widely used programming languages in the world, powering apps, games like Minecraft, robots, and real world tech. Learning to program in Java puts you on a path to become a real developer and turn an idea into something that actually works. In this class, you will learn programming step by step through hands-on projects, problem solving challenges and creative coding activities. No experience is needed, just a curiosity and a willingness to try new things. 

Full year, I credit
Prerequisite: Introduction to CyberSecurity and Artificial Intelligence, Computer Science II
If you have ever wondered how apps work, how AI learns, how computers “think,” or how digital media is created, AP Computer Science Principles is your chance to find out and earn college credit while you do it! This dual enrollment course is all about exploring the world of computing through creativity and multimedia. You will learn Python to build projects with images, sounds, animations, and interactive programs. You will be making things that are fun, visual and uniquely yours. You will learn how computer systems work, how data is stored, how AI makes predictions, how cybersecurity keeps information safe, and how computing is shaping the world. Students can earn 3 college credits from Siena College. 

Full Year, 1 credit
Prerequisite: Cybersecurity and AI, Computer Science II, AP Computer Science Principles
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.

Full Year, 1 credit, 11th or 12th grade
Prerequisite: 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 and to help empower students as innovators. Students can choose to learn about emerging technologies in areas such as artificial intelligence and robotics or students can expand their knowledge by learning a new language. Using the design thinking process, students will have opportunities to explore, research, and create solutions to real-world challenges. Students can choose to work with mentors in the community and complete a practical experiential project. All students will present their final capstone project at the end of the year.

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.