# Mathematics Department

## Mathematics Program Pathways 6-12

Course descriptions may be found below and in the MS and HS course catalogs.

**What is Math II?**

Math II is a course offered to sixth graders for one period on alternating days in addition to the daily Math I class. Math II affords students a unique opportunity for enrichment beyond the scope of the Grade 6 standards, and also provides students a forum to learn and practice mathematical modeling (problem-solving).

To function effectively in today’s global society, students must be able to think logically, critically, and creatively. Mathematical modeling encourages these thinking skills through what is very much a literacy-based process. Mathematical modelling requires students to

- interpret information and elicit main ideas from a variety of narrative texts that mirror real-life situations
- organize the information meaningfully
- describe/explain the situation
- predict the solution
- share ideas/approaches
- produce a model to solve the problem
- re-use the model in similar situations

Collaboratively, students will regularly engage in Polya’s Problem-Solving Steps as outlined below. These steps also constitute the “design cycle” used in the fields of science, engineering, and technology.

- Understand the problem.
- Devise a plan.
- Carry out the plan.
- Look back.

In Math II, students will learn vital mathematical skills, develop enduring understandings that transfer to further studies and authentic situations, and gain confidence in problem-solving.

** ALGEBRA I **

1 Unit 40 weeks - (3041) NCAA Approved

As per the NYS Learning Standards, students will engage in a deep study of polynomial and rational expressions, equations and inequalities, and functions. Additionally, students will construct and compare linear, quadratic, and exponential models and will interpret categorical and quantitative data. Students will be administered the Algebra I Regents Exam in June. Passing the Regents exam satisfies the minimal exam requirement for a New York State Regents Diploma. Course meets 5 periods per week. Prerequisite: Successful completion of Math 8

**ALGEBRA IL **

1 Unit 40 weeks (3232) NCAA Approved

As per the NYS Learning Standards, students will engage in a deep study of polynomial and rational expressions, equations and inequalities, and functions. Additionally, students will construct and compare linear, quadratic, and exponential models and will interpret categorical and quantitative data. Students will be administered the Algebra I Regents Exam in June. Passing the Regents Exam satisfies the minimal exam requirement for a New York State Regents Diploma. Course meets 7.5 periods per week (1 period daily with an additional period on alternating days). Prerequisite: Students will be scheduled for this course based upon the results of prior assessments, progress in previous courses, and/or teacher recommendation.

**GEOMETRIC APPLICATIONS **

1 Unit 40 weeks (3047)

This course provides students the opportunity to explore geometric concepts within the New York State Regents geometry curriculum. Particular emphasis is placed on constructing mathematically valid geometric arguments. Topics include the study of definition, postulate, theorem, and logic; congruence, similarity, right triangle trigonometry, circles, geometric measurement; transformations. Students will have the opportunity to take the Geometry Regents exam in June. A student must pass the Algebra I, Geometry, and Algebra II Regents exams to satisfy the math testing requirements for acquiring a NYS Regents Diploma with Advanced Designation. Course meets 5 periods per week. Prerequisite: Successful completion of Algebra IL and teacher recommendation

**GEOMETRY **

1 Unit 40 weeks (3010) NCAA Approved

As per the NYS Learning Standards, students will engage in a deep study of Euclidean Geometry focusing on conceptual understanding, proof, and modeling. Topics include congruence, similarity, right triangle trigonometry, circles and geometric measurement. Students will be administered the Geometry Regents Exam in June. Passing the Regents Exam satisfies the second of three exam requirements for a New York State Regents Diploma with Advanced Designation. Course meets 5 periods per week. Prerequisite: Successful completion of Algebra I

**GEOMETRY L **

1 Unit 40 weeks - (3011) NCAA Approved

As per the NYS Learning Standards, students will engage in a deep study of Euclidean Geometry focusing on conceptual understanding, proof, and modeling. Topics include congruence, similarity, right triangle trigonometry, circles and geometric measurement. Students will be administered the Geometry Regents Exam in June. Passing the Regents Exam satisfies the second of three exam requirements for a New York State Regents Diploma with Advanced Designation. Course meets 7.5 periods per week (1 period daily with an additional period on alternating days.) Students will be scheduled for this course based upon the results of prior assessments, progress in pre-requisite courses (Algebra I/IL), and/or teacher recommendations.

**ALGEBRA II Y1 **

1 Unit 40 weeks (3048) NCAA Approved .5 credit

Students in this course begin their study of the Algebra II curriculum (see 3053 course description below) and are expected to continue the course by enrolling in Algebra II Y2 (two periods per day) the following year. This two-year study of Algebra II affords students the opportunity to engage in a rigorous, college preparatory curriculum without as demanding a pace as that found in Algebra II (3053). Course meets 5 periods per week. NOTE: Completion of this course does NOT satisfy the condition for any course that requires “completion of Algebra II” as a pre-requisite. Students must complete the full two-year year sequence (Algebra II Y1 AND Algebra II Y2) to continue post-Algebra II studies.

Prerequisite: Successful completion of Algebra I/IL and Geometry/Topics of Geometry

**ALGEBRA II **

1 Unit 40 weeks (3053) NCAA Approved

As per the NYS Learning Standards, students will apply their prior knowledge to extend their understanding of algebra (emphasis on polynomials and rational expressions), functions (linear, quadratic, exponential, and trigonometric), and statistics and probability. Students will be administered the Algebra II Regents Exam in June. Passing the Algebra I, Geometry, and Algebra II Regents Exams satisfies the exam requirements for a New York State Regents Diploma with Advanced Designation. Course meets 5 periods per week. Prerequisite: Successful completion of Algebra I and Geometry Northport High School

**ALGEBRA II L **

1 Unit 40 weeks (3052) NCAA Approved

As per the NYS Learning Standards, students will apply their prior knowledge to extend their understanding of algebra (emphasis on polynomials and rational expressions), functions (linear, quadratic, exponential, and trigonometric), and statistics and probability. Students will be administered the Algebra II Regents Exam in June. Passing the Algebra I, Geometry, and Algebra II Regents Exams satisfies the exam requirements for a New York State Regents Diploma with Advanced Designation. Course meets 7.5 periods per week (1 period daily with an additional period on alternating days.) Students will be scheduled for this course based upon the results of prior assessments, progress in pre-requisite courses (Algebra I, Geometry), and/or teacher recommendations.

**ALGEBRA II Y2/Finite Math **

NCAA Approved 1.0 credit ½ Unit 20 weeks (3055) ½ Unit 20 weeks (3060)

Semester 1: Students will be enrolled in Algebra II Y2 to complete their study of the Algebra II curriculum that began with enrollment in Algebra II Y1 the previous year. Students will be administered the Algebra II Regents exam for the first time in January and will have a second opportunity if needed in June. A student must pass the Algebra I, Geometry, and Algebra II Regents exams to satisfy the math testing requirements for acquiring a NYS Regents Diploma with Advanced Designation. Course meets ten periods per week (2 periods daily). Prerequisite: Successful completion of Algebra II Y1 Semester 2: Students will be enrolled in Finite Math to engage in an introductory study of mathematical analysis techniques used in college courses and in the real world. This course gives students valuable experience organizing and analyzing information while also maintaining skills necessary for college placement exams. Topics may include but are not limited to: elementary matrix algebra, linear programming, logic, beginner coding, the mathematics of finance, introductory probability, statistics, and combinatorics. Mathematical modeling (using math to describe a real world situation) is applied throughout the course. Course meets five periods per week (1 period daily). Students will receive .5 credit for successful completion of Algebra II Y2 and .5 credit for successful completion of Finite Math.

**ALGEBRA II BC**

1 Unit 40 weeks (3540) NCAA Approved

As per the NYS Learning Standards, students will apply their prior knowledge to extend their understanding of algebra (emphasis on polynomials and rational expressions), functions (linear, quadratic, exponential, and trigonometric), and statistics and probability. Students will be administered the Algebra II Regents Exam in June. Passing the Algebra I, Geometry, and Algebra II Regents Exams satisfies the exam requirements for a New York State Regents Diploma with Advanced Designation. Course meets 5 periods per week. This is an advanced course, with greater emphasis placed on derivation, problem-solving and real-world applications. Prerequisite: Successful completion of Geometry BC and Algebra I BC

**COLLEGE PREP ADVANCED ALGEBRA**

1 Unit 40 weeks (3338) NCAA Approved

This course is intended for the college-bound senior whose intended path of study will not require extensive coursework in college-level mathematics. Emphasis will be placed on advanced topics of algebra, analytic geometry, and trigonometry through functional analysis. Topics from discrete mathematics will also be included in this course. After successful completion of the course, students will be well prepared for college math placement exams. Course meets 5 periods per week. Prerequisite: Completion of Algebra II

**IB MATH: APPLICATIONS & INTERPRETATION SL **

11th or 12th Grade Standard Level 1 Unit 40 weeks (3028) NCAA Approved

Applications & Interpretation emphasizes the meaning of mathematics in context by focusing on topics that are often used as applications or in mathematical modeling. To give this understanding a firm base, this course also includes topics that are traditionally part of a pre-university mathematics course such as calculus and statistics. The course makes extensive use of technology to allow students to explore and construct mathematical models. Applications & Interpretation will develop mathematical thinking, often in the context of a practical problem and using technology to justify conjectures. Students are required to submit a research-based exploration project and to sit for two IB assessment papers in the spring. The fee is established by the International Baccalaureate Organization and is approximately $130. Payment is due in early October of the exam year. Prerequisite: Completion of Algebra II

**COLLEGE PRE-CALCULUS **

1 Unit 40 weeks (3532) NCAA Approved OPT: 4 semester hours/Suffolk County Community College College

Pre-Calculus is designed to provide an essential background for the continued study of Calculus or other college level mathematics. Topics include, but are not limited to, polynomial and rational functions, exponential and logarithmic functions, trigonometric functions and applications, matrices and vectors, limits and derivatives, and polar coordinates. Students that apply and are accepted to Northport High School | Course Catalog 51 Suffolk County Community College’s Excelsior Program will be granted college credit upon successful completion of the course and payment of all required fees. Tuition cost is approximately $228 per year for those students registering for 4 college credits (no financial assistance available). Transfer credit practices vary from college to college and therefore cannot be guaranteed in advance. Course meets 5 periods per week. Prerequisite: Successful completion of Algebra II

**PRE-CALCULUS AB**

1 Unit 40 weeks (3550) NCAA Approved

OPT: 3-6 semester hours/St. John’s University This course prepares students for the subsequent study of AP Calculus AB in grade 12 Topics include, but are not limited to, functions and graphs, matrices, conic sections, sets of linear equations, exponential and logarithmic functions, trigonometry, vectors, complex numbers, limits and continuity, differentiation of algebraic and transcendental functions, and antiderivatives. Students that apply and are accepted to St. John’s University’s College Advantage Program will be granted college credit upon successful completion of the course and payment of all required fees (3 credits first semester; 3 credits second semester). Eligibility requirements apply (minimum SAT combined reading/math score of 1000). Tuition cost is approximately $325 per semester for those students registering for college credits (no financial assistance available). Transfer credit practices vary from college to college and therefore cannot be guaranteed in advance. Course meets 5 periods per week. Prerequisite: Completion of Algebra II at a mastery performance level

**IB MATH: ANALYSIS & APPROACHES SL/AB**

1 Unit 40 weeks (3556) NCAA Approved (Includes ½ year lab section every day in the Fall) OPT: 3-7 semester hours/St. John’s University

This is an IB Mathematics course at the Standard Level which will provide students with a comprehensive and sound mathematical background in preparation for the future study of AP Calculus AB in grade 12. Analysis & Approaches recognizes the need for analytical expertise in a world where innovation is increasingly dependent on a deep understanding of mathematics. This course includes topics that are both traditionally part of a pre-university mathematics course (ex, functions, trigonometry, calculus) as well as topics that are amenable to investigation, conjecture, and proof (ex, the study of sequences and series and proof by induction). Analysis & Approaches places a strong emphasis on the ability to construct, communicate, and justify correct mathematical arguments. Students are required to submit a research-based exploration project and to sit for two IB assessment papers in the spring. The fee is established by the International Baccalaureate Organization and is approximately $130. Payment is due in early October of the exam year. Students that apply and are accepted to St. John’s University’s College Advantage Program will be granted college credit upon successful completion of the course and payment of all required fees (3 credits first semester; 4 credits second semester). Eligibility requirements apply (minimum SAT combined reading/math score of 1000).

Tuition cost is approximately $325 per semester for those students registering for college credits (no financial assistance available). Transfer credit practices vary from college to college and therefore cannot be guaranteed in advance. Course meets 10 periods per week in the fall and 5 periods per week in the spring. Prerequisite: Completion of Algebra II at a mastery performance level

**PRE-CALCULUS BC**

1 Unit 40 weeks (3542) NCAA Approved

This is a pre-IB course in advanced analysis for students who will take IB Math SL/BC in grade 11 and AP Calculus BC in grade 12. Topics include matrices, trigonometric applications and analysis, vectors, complex numbers, exponents and logarithms, sequences and series, probability and statistics, and conic sections. Students may begin work on a mathematical research investigation which will be completed during 11th grade. Course meets 5 periods per week. Prerequisite: Successful completion of Algebra II BC

**IB MATH: ANALYSIS & APPROACHES SL/BC**

1 Unit 40 weeks (3545) NCAA Approved OPT: 3-7 semester hours/St. John’s University

This is an IB Mathematics course at the Standard Level which will provide students with a comprehensive and sound mathematical background in preparation for the future study of AP Calculus BC in grade 12. Analysis & Approaches recognizes the need for analytical expertise in a world where innovation is increasingly dependent on a deep understanding of mathematics. This course includes topics that are both traditionally part of a preuniversity mathematics course (ex, functions, trigonometry, calculus) as well as topics that are amenable to investigation, conjecture, and proof (ex, the study of sequences and series and proof by induction). Analysis & Approaches places a strong emphasis on the ability to construct, communicate, and justify correct mathematical arguments. Students are required to submit a research-based exploration project which may be submitted for entry in the Long Island Math Fair. Additionally, students are required to sit for two IB assessment papers in the spring. The fee is established by the International Baccalaureate Organization and is approximately $130. Payment is due in early October of the exam year. Students that apply and are accepted to St. John’s University’s College Advantage Program will be granted college credit Northport High School | Course Catalog 52 upon successful completion of the course and payment of all required fees (3 credits first semester; 4 credits second semester). Eligibility requirements apply (minimum SAT combined reading/math score of 1000). Tuition cost is approximately $325 per semester for those students registering for college credits (no financial assistance available). Transfer credit practices vary from college to college and therefore cannot be guaranteed in advance. Course meets 5 periods per week.

Prerequisite: Successful completion of Pre-Calculus BC

**COLLEGE TRIGONOMETRY & CALCULUS**

1 Unit 40 weeks – (3530) NCAA Approved OPT: 3-7 semester hours/St. John’s University

College Trigonometry & Calculus focuses on a college preparatory study of functions and graphs, sets of linear equations, exponential and logarithmic functions, trigonometry, limits, differentiation of algebraic and transcendental functions, and antiderivatives. Students that apply and are accepted to St. John’s University’s College Advantage Program will be granted college credit upon successful completion of the course and payment of all required fees (3 credits first semester; 4 credits second semester). Eligibility requirements apply (minimum SAT combined reading/math score of 1000). Tuition cost is approximately $325 per semester for those students registering for college credits (no financial assistance available). Transfer credit practices vary from college to college and therefore cannot be guaranteed in advance. Course meets 5 periods per week. Prerequisite: Successful completion of Algebra II

**ADVANCED PLACEMENT CALCULUS AB/BC**

The Advanced Placement (AP) exam in Calculus is offered on two levels, BC and AB. This designation corresponds to the two classes offered in the catalog. The BC level is more theoretical, covers more course content than AB, and corresponds to three semesters of college calculus. The AB level focuses on applications and is similar to a two-semester college program. Depending upon the score on the AP Test, colleges will award up to 8 credits for the BC Course and up to 4 credits for the AB course.

**AP CALCULUS AB**

1 Unit 40 weeks (3614) NCAA Approved

The material continues from Pre-Calculus AB with the derivative of polynomial, exponential and trigonometric functions and the application to max/min problems. Techniques of integration are introduced together with applications to acceleration and velocity and the area under a curve. All students are required to take the AP Exam in May at a cost of approximately $95.00 plus College Board Administrative Fee. Course meets 5 periods per week. Prerequisite: Successful completion of Pre-Calculus AB or IB Math SL/AB

**AP CALCULUS BC**

1 Unit 40 weeks (3616) NCAA Approved

Calculus BC covers all the work of the AB program plus additional topics prescribed for the AP exam by the College Board. These include sequences and series, differential equations and several theorems related to these topics. The BC program is considered to be more theoretical than the AB level. All students are required to take the AP Exam in May at a cost of approximately $95.00 plus College Board Administrative Fee. Course meets 5 periods per week. Prerequisite: Successful completion of IB Math SL/BC

**TOPICS IN MULTIVARIABLE CALCULUS**

.5 Unit 20 weeks (3620) NCAA Approved

This is an elective mathematics course offered second semester only, to be taken concurrently with AP Calculus BC. Students enrolled in this course will explore topics in multivariable calculus. As such, the course is designed for students who are planning post-secondary studies in STEM related fields (e.g., mathematics, engineering, physical sciences, economics, etc.). Topics may include partial differentiation, multiple integration, vector calculus, and differential equations. Course meets 5 periods per week. Co-requisite: AP Calculus BC

**ADVANCED PLACEMENT STATISTICS**

1 Unit 40 weeks (3617) NCAA Approved

The purpose of the course is to introduce students to the major concepts and procedures for collecting, analyzing and drawing conclusions from data. Students who successfully complete the course and the AP exam may qualify for credit for a one semester introductory college statistics course. Students will work with a graphing calculator to understand the basic principles of data analysis. Students are exposed to four broad conceptual themes: exploring data– describing patterns and departures from patterns; sampling and experimentation planning and conducting a study; anticipating patterns, exploring random phenomena using probability and simulation; and statistical inference- estimating population parameters and testing hypotheses. All students are required to take the AP Exam in May at a cost of approximately $95.00 plus College Board Administrative Fee. Course meets 5 periods per week.

**COLLEGE STATISTICS**

1 Unit 40 weeks (3534) NCAA Approved OPT: 4-8 semester hours/St. John’s University

College Statistics is designed to provide a background in the appropriate and inappropriate uses of statistics. Topics include, but are not limited to, measures of central tendency and variability, basic concepts of probability, the binomial, normal and “t” distribution, testing hypotheses, estimation, chi square, linear regression, and correlation. Students that apply and are accepted to St. John’s University’s College Advantage Program will be granted college credit upon successful completion of the course and payment of all required fees (4 credits per semester). Eligibility requirements apply (minimum SAT combined reading/math score of 1000). Tuition cost is approximately $325 per semester for those students registering for college credits (no financial assistance available). Transfer credit practices vary from college to college and therefore cannot be guaranteed in advance. Course meets 5 periods per week. Prerequisite: Successful completion of Algebra II

**CAREER & FINANCIAL ALGEBRA**

1 Unit 40 weeks (3049)

This course is designed to strengthen students’ algebra skills as they solve financial problems that occur in everyday life. Topics include investing, credit, banking, auto insurance, mortgages, employment, income taxes, budgeting, and planning for retirement. Students will participate in field projects, build computer spreadsheets, and solve real world problems. As students reinforce algebra skills and gain exposure to other mathematical topics (geometry, probability and statistics, etc.), they will improve their likelihood of successfully completing a college level placement exam. Course meets 5 periods per week. Prerequisite: Successful completion of two years of mathematics (usually Algebra and Topics), plus teacher recommendation and permission of department chair.

**SAT PREP MATH/VERBAL**

½ Unit 20 weeks (Fall/Spring – 494)

This course will prepare students for taking the PSAT/SAT and ACT. The course will be divided into two segments and taught by two teachers – English and Math, in ten-week segments. This course is recommended for sophomores and juniors, and does not replace the required Math or English course.

**AOIT/INTRODUCTION TO COMPUTER PROGRAMMING**

1 Unit 40 weeks (5818) NCAA Approved OPT: 3 semester hours/SUNY Farmingdale

This hands-on, project-based course introduces students to basic programming concepts and takes a look at the inner workings of a computer. The course begins to answer the huge question: “How does my computer do that?” The focus is on the elements of programming that are common to all programming languages, so that other languages can be learned quickly. There is also an emphasis on gaming and app development. This course covers the highly utilized languages of Python and Java. Students hone the important skills of problem solving, thinking logically, looking at the big picture, and paying attention to detail. This course also lays a strong foundation for Advanced Placement Computer Science. Course meets 5 periods per week. Students do not need to be enrolled in AOIT to take this course, although the course satisfies one credit of the AOIT program. This course is available for three college credits, to students in grades 10 - 12, through SUNY Farmingdale (BCS 101) at a tuition cost of approximately $150 (no financial assistance available).

**AP COMPUTER SCIENCE A**

1 Unit 40 weeks (3710) NCAA Approved

The Advanced Placement (AP) course in Computer Science will cover topics which would normally be found in a college level program for computer science majors or for students who will major in other disciplines that require involvement with computers. The current programming language is JAVA, an object-orientated programming language. The skills learned in Introduction to Computer Programming are reviewed and refined in this course. Topics taught include programming methodology, features of programming languages, data types and structures, algorithms, applications, iteration, recursion and some of the social implications of computer science. A practical context for the course is given through the use of College Board prescribed lab assignments. All students are required to take the AP Exam in May at a cost of approximately $95.00 plus College Board Administrative Fee. This course satisfies one credit for the AOIT program. Prerequisite: AOIT Introduction to Computer Programming.

**ENL PRE-ALGEBRA**

1 Unit 40 weeks - (3554)

This course, intended to strengthen mathematical foundation for ELLs, builds upon the essential skills of arithmetic as they apply to the future study of Algebra. Coursework primarily focuses on real numbers, linear equations, linear inequalities, factoring, fractions, graphing, and some elements of geometry. Course meets 5 periods per week. Students must receive approval from the ENL Chairperson before they can register for this course.

**ENL ALGEBRA 1A**

1 Unit 40 weeks - (3555)

This course, the first in a series of two designed specifically for ELLs, builds upon their knowledge of arithmetic as it applies to the study of Algebra. Over the course of two years, students will engage in a study of polynomial and rational expressions, equations and inequalities, and functions. Additionally, students will construct and compare linear, quadratic, and exponential models and will interpret categorical and quantitative data. Students will take a local final exam at the end of the first year. Course meets 5 periods per week. Students must receive approval from the ENL Chairperson before they can register for this course.

**ENL ALGEBRA 1B**

1 Unit 40 weeks - (3553)

This course, the second in a series of two designed specifically for ELLs, is intended to build upon their knowledge of arithmetic as it applies to the study of Algebra. Over the course of two years, students will engage in a study of polynomial and rational expressions, equations and inequalities, and functions. Additionally, students will construct and compare linear, quadratic, and exponential models and will interpret categorical and quantitative data. Students will be administered the Algebra I Regents Exam at the conclusion of the two-year sequence. Course meets 5 periods per week. Students must receive approval from the ENL Chairperson before they can register for this course. Prerequisite: ENL Algebra 1A

**ENL ALGEBRA Support Lab (3552)**

This course meets every day in addition to the Algebra I class and is designed to provide ENL students intensive Algebra I support through intervention practices such as re-teaching and pre-teaching important concepts. Course meets 5 periods per week. Students must receive approval from the ENL Chairperson before they can register for this course. Corequisite: Algebra I