Mathematics

Administrator: Nickolas Scholz | (315)-218-2036 | Department Chair NSJHS: Kelly Moen | Department Chair CNS: Amy Furletti

The New York State Education Department graduation requirement for mathematics is such that all students complete a minimum of three mathematics credits and pass one of the Mathematics New York State Exams. The mathematics requirement for an advanced diploma is such that all students pass three Mathematics New York State Exams. The Mathematics Regents Exams are given in Algebra, Geometry and Algebra 2.

The goal of our course offerings is to ensure that all students meet or exceed the New York State requirements in Mathematics. In order to meet that goal, all students are expected to have a graphing calculator for home use. The TI-Nspire CX2 CAS is the recommended calculator for all classes.

Courses:

ALGEBRA 1H

40 Weeks | 1 Credit | Grade 8 | Course Number: 0326J

Prerequisite: Designed for students who have successfully completed Math 7X (Honors) in 7th grade.

This course focuses primarily on Algebra concepts and will also include critical knowledge in geometry, measurement, statistics, and probability. Students in Grade 8 will be expected to take the NYS Algebra Regents in June. Students recommended for this course must have taken Math 7X (Honors) in 7th grade. Students should have a 90% overall average, each marking period in 7th grade math and must have a final average above 92%. Students should also be recommended for ELA 8H.

This course is NCAA approved.

INFORMAL ALGEBRA

40 Weeks | 1 Credit | Grade 9, 10 | Course Number: 0301

Prerequisite: Designed for students who previously have been in prioritized curriculum math and/ or have not been successful for two or more years of mathematics between grades five and eight. Approval for class by Administration only.

This course focuses primarily on algebra concepts and will also include critical knowledge in geometry, measurement, statistics and probability. While some of the curriculum will be mastered, much of the curriculum will be at the exposure level and will be taught more in depth during the tenth grade algebra year. Students in Informal Algebra will take a school final and will be recommended into Algebra for the tenth grade.

INFORMAL GEOMETRY

40 Weeks | 1 Credit | Grade 11, 12 | Course Number: 0314

Prerequisite: teacher recommendation or admin approval needed

This course is a comprehensive introduction to geometric methods and techniques that uses the NYS Next Generation Geometry Curriculum as its foundation. The class is intended to provide an opportunity for students to be successful in math, build their understanding of basic geometry and improve their algebra skills so that they may continue on to higher level math courses. Students who excel in the course will be encouraged to attempt the NYS Regents Exam in June.

ALGEBRA (at CNS High School)

40 Weeks | 1 Credit | Grade 10 | Course Number: 0315

Prerequisite: Designed for students who have not successfully earned a mathematics credit in Algebra, or you have taken Informal Algebra in 9th grade.

This course is based on the NYS Next Generation Standards for Algebra I. This course focuses primarily on Algebra concepts and will also include critical knowledge in geometry, measurement, statistics, and probability. Students repeating this class will be required to take the Algebra Regents in January. All other students will be required to take the Algebra Regents in June.

This course is NCAA approved.

ALGEBRA (at Junior High)

40 Weeks | 1 Credit | Grade 9 | Course Number: 0305

This course is NCAA approved.

GEOMETRY

40 Weeks | 1 Credit | Grades 10, 11 | Course Number: 0308A

Prerequisite: Designed for students who successfully completed Algebra or are dual enrolled in APEX.

This course is meant to employ an integrated approach to the study of geometric relationships. Congruence and similarity of triangles will be established using appropriate theorems. Transformations including rotations, reflections, translations, and glide reflections and coordinate geometry will be used to establish and verify geometric relationships. Students will be expected to take the NYS Geometry Regents in June.

This course is NCAA approved.

GEOMETRY HONORS

40 Weeks | 1 Credit | Grade 9 | Course Number: 0309J

Prerequisite: Designed for students who successfully completed Regents Algebra Accelerated Honors.

This course is NCAA approved.

INTERMEDIATE ALGEBRA

40 Weeks | 1 Credit | Grades 10, 11 | Course Number: 0310

Prerequisite: Placement in this course will be by completion of Algebra 1 and teacher recommendation.

This course is designed for students who are planning to attend college and pursue a two or four-year degree in a non-STEM major, enter the workforce, and attend trade school or a military branch. The content of this course will include linear equations and inequalities, literal equations, absolute value equations and inequalities, coordinate geometry, graphs of parent functions, right triangle trigonometry, linear and quadratic functions, factoring, and radical equations.

ALGEBRA 2

40 Weeks | 1 Credit | Grades 10, 11, 12 | Course Number: 0311

Prerequisite: Designed for students who successfully completed Algebra or are dual enrolled in APEX.

The content of this course includes, but is not restricted to, exponential and logarithmic functions, geometric and algebraic transformations of functions, trigonometry, probability and statistics, and their applications. Students will be expected to take the NYS Algebra 2 Regents Exam in June. Upon successful completion of this course, students are expected to enroll in Geometry.

This course is NCAA approved.

ALGEBRA 2A

40 Weeks | 1 Credit | Grades 10, 11 | Course Number: 0327

Prerequisite: Designed for students who struggled in Algebra and based on teacher recommendation.

This is the first year of a two-year program based on the Next Generation Algebra 2 curriculum. The content of this course will include the study of functions including linear, quadratic, polynomial and exponential. Additional topics may include arithmetic and geometric sequences.

This course is NCAA approved.

ALGEBRA 2B

40 Weeks | 1 Credit | Grades 11, 12 | Course Number: 0328

Prerequisite: Designed for students who have successfully completed Algebra 2A.

This is the second year of a two-year program based on the Next Generation Algebra 2 curriculum. Students will sit for the NYS Algebra 2 Regents exam in June. The content of this course will include the study of functions including rational, radical, logarithmic and trigonometric. Additional topics may include applications of exponential and logarithmic functions, probability and statistics.

This course is NCAA approved.

ALGEBRA 2 HONORS

40 Weeks | 1 Credit | Grade 10 | Course Number: 0312

Prerequisite: Designed for students who successfully completed Algebra I or Geometry Honors with a minimum average of 85. *Note: Each marking period average should be above 80%.

This course will cover the NYS Algebra 2 curriculum with increased emphasis on investigation and problem solving. Advanced algebra concepts will be explored in depth and the course will include critical thinking skills and a major emphasis will be placed on conjecture and hypothesis testing. Students will develop a strong understanding of Trigonometry and its applications in real life settings. Upon successful completion of this course, students are expected to enroll in Pre-Calculus with Trig Honors in preparation for Advanced Placement classes.

This course is NCAA approved.

THINKING MATHEMATICALLY

40 Weeks | 1 Credit | Grade 11, 12 | Course Number: 0325A

Prerequisite: Placement of 11th graders in this course will be by teacher recommendation only.

Do you struggle to find relevance of Math in everyday life? Have you ever asked, “When am I ever going to use this Math?” Then this course is for you. Thinking Mathematically is designed to engage students in the world of math through compelling, real-world applications - Student-loan Debt, Voting Methods, Number Theory, Logic and Reasoning, Real-World Measurement and Sports Applications. This class will help students with different and diverse backgrounds and career plans succeed in their Mathematical understanding.

Four Major Goals of the course:

● Acquire knowledge of fundamental Mathematics

● Solve authentic problems applying to real life 45

● Apply mathematical reasoning to college, career, and life

● Develop problem solving skills and foster critical thinking

This course is NCAA approved.

FINANCIAL ALGEBRA

40 Weeks | 1 Credit | Grades 11, 12 | Course Number: 0321

Placement of 11 th graders in this course will be by teacher recommendation only.

This course is designed to provide students with the knowledge and tools to become financially responsible citizens. This course encourages students to be actively involved in applying mathematical ideas to their everyday lives. Students will study various financial topics including banking services, consumer credit, automobile ownership, employment basics, income taxes, independent living , and preparing a budget. Students will regularly use technology including spreadsheets and online calculators to learn budgeting skills and to assist with financial decision making.

This course is NCAA approved.

OCC PRECALCULUS WITH TRIG (MAT-143)

40 Weeks | 1 Credit | Grade 11, 12 | Course Number: 0323

Prerequisite: Designed for students who have successfully completed Algebra 2 with a 72 or better overall average, or by teacher recommendation.

OCC Dual Enrollment in MAT-143

This course is designed to provide the necessary foundation for a standard calculus course. Topics include absolute value, quadratic inequalities, exponential and logarithmic functions, trigonometric functions and their inverses, trigonometric identities and equations, and binomial theorem.

Students will:

● Use cooperative learning to gain understanding

● Explore topics using real world applications

● Complete hands-on activities to enhance their learning

This course is NCAA approved.

This is a dual enrollment course with OCC that can earn students 4 credits upon successful completion of the course.

OCC PRECALCULUS WITH TRIG HONORS (MAT-143)

40 Weeks | 1 Credit | Grade 11, 12 | Course Number: 0324

Prerequisite: Designed for students who successfully completed Algebra 2 Honors with at least an 85 average in all three math classes and have at least an 80 on all three Regents exams. *Note: Each marking period average should be above 80%

OCC Dual Enrollment in MAT-143

This course serves as preparation for AP Calculus AB. It is a rigorous precalculus course. Topics include, but are not limited to, absolute value, quadratic inequalities, exponential and logarithmic functions, trigonometric functions and their inverses, trigonometric identities and equations and binomial theorem.

Students will:

● Use various forms of technology to complete activities

● Learn collaboratively with other students to gain understanding

● Learn a variety of ways to solve equations and word problems using both prior knowledge and new methods that apply to calculus

Upon successful completion of this course, students are expected to enroll in AP Calculus AB

This course is NCAA approved.

This is a dual enrollment course with OCC that can earn students 4 credits upon successful completion of the course.

AP CALCULUS AB*

40 Weeks | 1 Credit | Grade 12 | Course Number: 0313

Prerequisite: Designed for students who have successfully met the requirements for an advanced diploma and have completed Precalculus with Trig Honors with an 85 or Pre-Calculus with Trig with a 95.

*STUDENTS ARE REQUIRED TO STAY IN AP CLASSES THE FIRST FIVE WEEKS OF THE COURSE.

AP Calculus AB is designed to be the equivalent of a first semester college calculus course devoted to topics in differential and integral calculus. AP Calculus AB will focus on students’ understanding of calculus concepts and provide experience with methods and applications. The courses feature a multi-representational approach to calculus, with concepts, results, and problems expressed graphically, numerically, analytically, and verbally. Students will use technology to reinforce relationships among functions, to confirm written work, to implement experimentation, and to assist in interpreting results. Students are expected to take the Advanced Placement Examination upon completion of this course.

College credit may be available if the exam score meets college requirements.

This course is NCAA approved.

Exam Fee $105

AP STATISTICS*

40 Weeks | 1 Credit | Grades 10, 11, 12 | Course Number: 0332

Prerequisite:

12th grade students who have successfully compleyed Precalculus with Trig with an overall average of at least a 75
11th grade students who are concurrently enrolled in Precalculus with Trig
10th grade students who are concurrently enrolled in Algebra 2 Honors

*STUDENTS ARE REQUIRED TO STAY IN AP CLASSES THE FIRST FIVE WEEKS OF THE COURSE.

Have you ever wondered how 9 out of 10 dentists can recommend a specific toothpaste when there are so many out there? AP Statistics deals with why you have the answer, not just how to get it. Statistics is the most widely applicable branch of mathematics used by more people than any other kind of math. You’ll never wonder when you’ll ever use this stuff because there will be daily applications to fields such as science, medicine, anthropology, business law and government. This is a college course, so you will be involved on a daily basis in calculations, reading, writing, analyzing and thinking.

College credit may be available if the exam score meets college requirements.

Students will:

● Design experiments to draw conclusions

● Collect and examine data and display patterns from real world data sets

● Anticipate patterns and produce models for prediction

● Investigate research questions, design a study and interpret the results Students are expected to take the Advanced Placement Examination upon completion of this course

College credit may be available if the exam score meets college requirements.

This course is NCAA approved.

Exam Fee $105

TECHNOLOGY APPLICATIONS IN MATH (ELM-109)

20 Weeks | 1/2 Credit | Grades 10, 11, 12 | Course Number: 0302

It is an elective that covers a variety of topics – it’s like a techy buffet. Units may include Android app development, Scratch, cryptography, Excel, graphics, music and formal programming with the Python language. Students will develop problem solving strategies to create fun and innovative projects. Embedded into this course starting in 2025-2026 will be a 2-Credit OCC course aligned to the Electromechanical Technology Pathway (ELM 109) which will focus on introducing basic programming fundamentals.

Students will:

● Learn what a computer program looks like

● Create games and animations with Scratch

● Create digital artwork with Processing

● Create mobile apps with App Inventor

AP COMPUTER SCIENCE A* (2025-2026)

40 Weeks | 1 Credit | Grades 10, 11, 12 | Course Number: 0338

Prerequisite: Designed for students who have successfully completed Algebra and Geometry.

AP Computer Science covers the basics of computer programming at a college level of understanding. It uses the Java language to explore the main concepts. Topics covered include variables, logic and modeling real world objects with computer code. Students should be comfortable with mathematical thinking – computer programs rely on math. The class will prepare students for programming courses in college.

Students will:

● Learn what a computer program looks like

● Create computer programs to solve problems

● Work on computer based projects and labs during class

● Apply their programming knowledge in fun ways (independent projects) Students are expected to take the Advanced Placement Examination upon completion of the course. College credit may be available if the exam score meets college requirements. Exam Fee $105

*STUDENTS ARE REQUIRED TO STAY IN AP CLASSES THE FIRST FIVE WEEKS OF THE COURSE.

This course is NCAA approved.

AP COMPUTER SCIENCE PRINCIPLES (2026-2027)

40 Weeks | 1 Credit | Grades 10, 11, 12 | Course Number: 0339

Prerequisite: Designed for students who have successfully completed Algebra.

AP Computer Science Principles is designed to be equivalent to a first-semester introductory college computing course. Students should be comfortable with mathematical thinking and problem solving.

Students will:

●Develop computational artifacts based on their interests and write about their work.

●Analyze, visualize and make predictions about data

●Develop computational artifacts based on their interests and wright about their work

●Learn how technology impacts their world both locally and globally

Students are expected to complete a student-directed independent project and take the Advanced Placement Examination upon completion of the course. College credit may be available if the exam score meets college requirements. Exam Fee $105

VISUAL BASIC AND OBJECT ORIENTED DESIGN

40 Weeks | 1 Credit | Grades 10, 11, 12 | Course Number: 0336

Prerequisite: Designed for students who have successfully completed Algebra and passed the Algebra Regents Exam.

Visual Basic is a course built for students interested in developing software. It is a beginners course for students considering a career in computer programming or software. The majority of the required work is done in class due to it being a lab-based course. The course starts with basic controls and UI-development then progresses to creating retro games.

Students will:

●Learn how to write code

●Learn using real life scenarios that occur in everyday usage of technology

●Acquire necessary skills to go on to higher level Computer Science classes at the high school/college level

Upon successful completion of this course, students are expected to enroll in AP Computer Science A or AP Computer Science Principles

CHOICES AND CHANCES: THE MATH OF GAMES

20 Weeks | 1/2 Credit | Grades 10, 11, 12 | Course Number: 0303

Open to any student who has successfully completed Algebra 1.

The class will explore strategies used in a variety of games. The class will cover probability, optimization and game theory. We will examine board games, card games, sports and video games. We will focus on patterns underlying the games and we will play the games in a lab setting. The class will see how game strategies apply to the outside world as well.

FOUNDATIONS OF CODE: A HANDS-ON JOURNEY INTO COMPUTER SCIENCE

20 Weeks | 1/2 Credit | Grade 9 | Course Number: 0310AJ

Open to any student who has successfully completed Algebra 1.

This course is designed to provide 9th-grade students with an engaging and hands-on introduction to the fundamentals of computer science. Through a variety of activities and projects, the course will cover both unplugged activities and coding exercises to ensure a comprehensive understanding of key computer science principles.

Students will:

● Develop problem-solving skills, algorithmic thinking, and a solid foundation in programming concepts.

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