Mathematics Department

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