Mathematics Department

Course Title       Credit               Length

Fundamentals of Algebra                         1               40 Weeks

Algebra 1                         1                                                            40 Weeks

Geometry                         1                                                        40 Weeks

Geometry (Accelerated)                         1                           40 Weeks

Algebra IIA                         1               40 Weeks

Algebra IIB                         1               40 Weeks

Algebra II                         1               40 Weeks

Algebra II (Accelerated)                         1               40 Weeks

Precalculus                         1                            40 Weeks

Precalculus (Accelerated)                         1               40 Weeks

AP Calculus A/B                         1                           40 Weeks

AP Calculus B/C                         1               40 Weeks

Calculus                         1               40 Weeks

AP Statistics                         1               40 Weeks

Statistics Through Applications                         1               40 Weeks

Computer Programming/JAVA                         .5               20 Weeks

Computer Programming/PYTHON                         .5               20 Weeks

AP Computer Science A                         1               40 Weeks

AP Computer Science Principles                         1               40 Weeks

Cyber Security 1 40 Weeks

Math Applications                                                       1               40 Weeks

Practical Geometry                         1               40 Weeks

REGENTS DIPLOMA REQUIREMENTS: 3 Math Course Credits + 1 Math Regents Exam

ADVANCED REGENTS DIPLOMA REQUIREMENTS: 3 Math Course Credits + Algebra 1 Regents Exam + Geometry Regents Exam + Algebra 2 Regents Exam

CALCULATOR POLICY

Purchase of a TI-84 Plus graphing calculator is STRONGLY RECOMMENDED for enrollment in all of the high school math courses.  For AP courses, a TI-89 is preferred.

The cost of the calculator is approximately $100.00.

The math department has a limited number of graphing calculators available for use in class.  These calculators will not be available for home use.

FUNDAMENTALS OF ALGEBRA (MA16)  

Credit:  1             Length:  40 Weeks       Grade:  9 

Prerequisite:  To be successful in this course, students should have completed Math 8 and have been recommended by their 8th grade teacher (s)

This math course is the first year of a two year program.  Students in this course will be introduced to the foundational skills of Algebra during the first year of the program and will continue into the more rigorous Algebra curriculum in the second year of the course.  Students will be introduced to linear, quadratic and exponential functions in addition to linear inequalities.  Students will also begin the study of function notation, domain and range and statistics.  This course is followed by Algebra I (Fundamental Year Two).  Students should own a TI-84 graphing calculator.  Students will take a local exam in June.  *This course does not meet the NCAA Student-Athlete eligibility requirements.

ALGEBRA I (MA01)                           

Credit: 1             Length: 40 Weeks       Grade: 9

Prerequisite: To be successful in this course, students should have successfully completed Math 8.

This is a one-year credit-bearing course that counts towards a student's mathematical commencement requirements and meets New York State's mathematics requirements towards earning a Regents Diploma or Regents Diploma with Advanced Designation.  Students will study linear equations and inequalities, linear regression models, quadratic and exponential expressions (including rational exponents), quadratic functions, and formalize and extend the concept of functions (including function notation, domain and range, and exploration of many types of functions).  This course is followed by Geometry.  Students should own a TI-84 Plus calculator.  The NYS Algebra 1  exam will be taken in June.

GEOMETRY (MA02)                                      

Credit: 1              Length: 40 Weeks       Grade: 10

Prerequisite: To be successful in this course, students should have successfully completed   Algebra 1

This math course is the second in the New York State Regents program leading to an Advanced Regents Diploma. Students in this course are expected to identify and justify geometric relationships, formally and informally.  Students will explore a variety of approaches to verification and/or proof of geometric theorems and principles.  Students should own a TI-84 Plus calculator.  The NYS Geometry exam will be taken in June.

GEOMETRY (ACC) (MA02A)                                  

Credit: 1  Length: 40 Weeks            Grade: 9

Prerequisite: To be successful in this course, students should have successfully completed the Algebra 1 course and the Algebra 1 Regents exam 

This is a one-year credit-bearing course that counts towards a student's mathematical commencement requirements and meets New York State's mathematics requirements towards earning a Regents Diploma or a Regents Diploma with advanced Designation. This is an advanced course that includes all the topics from Geometry and explores more complex geometric relationships. Students enrolled in Geometry Acc. move at a faster pace than those in Geometry and work well beyond the Geometry curriculum. This course employs an integrated approach to the study of geometric relationships and proofs. 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.  Properties of triangles, quadrilaterals, and circles will receive particular attention.  This course also includes topics in three-dimensional geometry.   Students should own a TI-84 Plus calculator.  The NYS Geometry Regents exam will be taken in June. 

ALGEBRA II (MA03)                                    

Credit: 1              Length: 40 Weeks       Grade: 11

Prerequisite: To be successful in this course, students should have successfully completed the Algebra 1 and Geometry courses and the Algebra 1 Regents exam.

It is expected that all students in this course can perform at rigorous academic levels.  This expectation will be reflected in the curriculum and instruction throughout the course so that the students are consistently being challenged to bring their knowledge and skills to the next level.  Topics of instruction will include functions of all types: polynomial, exponential, logarithmic, rational, and trigonometric.  The course also includes the integration of geometry, algebra, and other branches of mathematics in the expansion of previously introduced topics. Students should own a TI-84 Plus graphing calculator.

ALGEBRA II/A (MA031)                         

Credit: 1              Length: 40 Weeks       Grade: 11

Prerequisite: To be successful in this course, students should have successfully completed the Algebra I and Geometry courses and the Algebra 1 Regents exam.

This is the first year of a two-year course intended to complete the third level of the state curriculum. An emphasis will be placed on problem solving, analysis, reasoning, patterns, modeling, measurement and functions. This course will prepare students for the Algebra 2 exam taken in their senior year. This exam is needed for the Advanced Regents diploma. The graphing calculator will be used throughout the year. 

ALGEBRA II/B (MA032)                         

Credit: 1              Length: 40 Weeks       Grade: 12 Prerequisite: Algebra II/A

This is the second year of a two-year course intended to complete the third level of the state curriculum. The course emphasizes trigonometry concepts that were covered in Algebra 2/A and will also cover the topics of probability statistics, and sequence and series. This will prepare students for the Algebra 2 Exam in January or June. This exam is needed for the Advanced Regents diploma. The graphing calculator will be used throughout the year.  *NCAA Student-Athletes are not eligible for the test out option.

ALGEBRA II (ACC) (MA03A)                                        

Credit: 1             Length: 40 Weeks       Grade: 10

Prerequisite: To be successful in this course, students should have successfully completed Geometry (Acc.) and passed the Geometry exam.

This is a math course for tenth graders that have successfully completed Geometry (Acc.) and passed the NYS Geometry Examination. It is expected that all students in this course can perform at rigorous academic levels. This expectation will be reflected in the curriculum and instruction throughout the course so that the students are consistently being challenged to bring their knowledge and skills to the next level.  Topics of instruction will include functions of all types: polynomial, exponential, logarithmic, rational, and trigonometric.  The course also includes the integration of geometry, algebra, and other branches of mathematics in the expansion of previously introduced topics.  In addition to the regular curriculum, students will be exposed to proofs of many formulas they will use and be assigned problems that will enrich each unit.  Students should own a TI-84 plus graphing calculator.

PRECALCULUS (MA05)                              

Credit: 1              Length: 40 Weeks       Grade: 12

Prerequisite: Successful Completion of Algebra II and teacher recommendation.

This course continues the integration of topics studied in Algebra, Geometry and Algebra II while preparing students for the rigors of college calculus. Topics studied include: matrices, polar, exponential, and logarithmic functions as well as derivatives, conic sections, and limits. Graphing calculator applications will be integrated throughout the course. Students in this course will be eligible to receive four college credits through SUNY Erie for a reduced tuition. Please see page 1 for details.  Students should own a TI-84 plus graphing calculator or better.

PRECALCULUS (ACC) (MA05A)               

Credit: 1             Length: 40 Weeks       Grade: 11

Prerequisite:  Successfully completed Algebra II ACC and passed the Algebra II exam.

It is expected that all students in this course can perform at rigorous academic levels. This expectation will be reflected in the curriculum and instruction throughout the course so that the students are consistently being challenged to bring their knowledge and skills to the next level. Graphing calculator technology will be implemented throughout the course. Topics of instruction will include: systems of equations and problem solving, graph theory, polynomial, logarithmic, and exponential functions, trigonometry, vectors, complex numbers, derivatives, and limits.  This course preludes Calculus or AP Calculus AB depending upon the student's level of mastery.  Students in this course will be eligible to receive four college credits through SUNY Erie for a reduced tuition. Please see page 1 for details.  Students should own a TI-84 plus graphing calculator or better.

CALCULUS (MA06)                                     

Credit: 1              Length: 40 Weeks       Grade: 12

Prerequisite: Completion of four years of secondary mathematics, most recently a course in Accelerated Precalculus.

It is expected that all students in this course can perform at rigorous academic levels. This expectation will be reflected in the curriculum and instruction throughout the course so that the students are consistently being challenged to bring their knowledge and skills to the next level.  Students taking this course are exposed to all topics included in the AP Calculus curriculum without the pressure of the AP exam and without the demanding pace of an AP course. Students that successfully complete this course usually do well on college placement exams and are often exempt from college math requirements depending on their major field of study. Students should own a TI-84 plus graphing calculator or better. Students in this course will be eligible to receive four college credits through SUNY Erie for a reduced tuition.

AP CALCULUS (AB) (MA07)                  

Credit: 1             Length: 40 Weeks       Grade: 12

Prerequisite: Completion of PreCalculus Acc.

It is expected that all students in this course can perform at rigorous academic levels.  This expectation will be reflected in the curriculum and instruction throughout the course so that the students are consistently being challenged to bring their knowledge and skills to the next level.  An Advanced Placement Course in Calculus AB consists of a full school year of work that is comparable to calculus courses in colleges and universities.  It is expected that students who take a course in AP Calculus will seek college credit, preferential college placement, or both, from institutions of higher learning.  The Calculus AB curriculum includes a rigorous study of functions, graphs, limits, derivatives, integrals, and their applications. Graphing utility technology is an important component of the course. Students are required to take the advanced placement exam which is given in early May. The AP Exam fee is approximately $100. Students should own a TI-84 plus graphing calculator, but the TI-89 is preferred. A summer assignment will be due in September. Students in this course will be eligible to receive three college credits through Hilbert for a reduced tuition. 

AP CALCULUS (BC) (MA08)                 

Credit: 1             Length: 40 Weeks       Grade: 12

Prerequisite: Completion of PreCalculus Acc. with at least an overall average of 95 and recommendation by the Math Dept. based on exceptional mathematical maturity and ability.

It is expected that all students in this course can perform at rigorous academic levels. This expectation will be reflected in the curriculum and instruction throughout the course so that the students are consistently being challenged to bring their knowledge and skills to the next level.  Students should have a very strong background in trigonometry and Precalculus and have achieved more than the minimum standards of success. An Advanced Placement Course in Calculus BC consists of a full school year of work that is comparable to Calculus I and Calculus II courses in colleges and universities.  It is expected that students who take a course in AP Calculus will seek college credit, preferential college placement, or both, from institutions of higher learning.  The Calculus BC curriculum includes a rigorous study of: parametric, polar and vector functions, limits, polynomial approximations and series, and numerous additional applications of the derivative and integral. Graphing utility technology is an important component of the course. Therefore, a TI-89 calculator will be used throughout. Students are required to take the advanced placement exam which is given in early May. The AP exam fee is approximately $100. A summer assignment will be due in September. Students in this course will be eligible to receive either four or eight college credits through SUNY Erie for a reduced tuition. 

PRACTICAL GEOMETRY (MA02F)              

Credit: 1              Length: 40 Weeks       Grade: 11

Prerequisite: Students have successfully completed the Algebra 1 program and teacher recommendation.                                                                                                                

This course is the third year of math for students who have been placed in the Fundamentals of Algebra program as freshmen.  It is a more practical and applicable approach to Geometry than Regents Geometry.  Topics that will be covered that are similar to Regents Geometry will be transformations in the plane, rigid motions, geometric constructions, similarity, trigonometry, circle theorems, volume, relationships between two-dimensional and three-dimensional objects, and applying geometric concepts in modeling situations.  This course will also include an interdisciplinary and applied approach, and include several STEM projects such as geometric constructions (Mandala Project), cross sections (3D printing), quadrilateral properties (Exploragons) and trigonometry (construction and support structures).  Students will take a local exam in June.  *This course does not meet the NCAA Student-Athlete eligibility requirements.

AP STATISTICS (MA09)                              

Credit: 1              Length: 40 Weeks       Grades: 11 & 12

Prerequisite:  Successful Completion of Algebra II Acc. or Algebra II with an average of 85 or above and teacher recommendation.

The AP Statistics course is an excellent option for any secondary school student who has successfully completed Algebra II/Trig. and who possesses sufficient mathematical maturity and quantitative reasoning ability. It is expected that all students in this course can perform at rigorous academic levels. This expectation will be reflected in the curriculum and instruction throughout the course so that the students are consistently being challenged to bring their knowledge and skills to the next level.  Students will use graphing utilities to obtain and analyze quantitative data in order to form statistical inferences.  It is expected that students who take an AP course in Statistics will seek college credit, preferential college placement, or both, from institutions of higher learning.  Students need good reading and writing skills and the maturity and desire to do college level work.  Students are required to take the AP Exam which is offered in early May.  The AP Exam fee is approximately $100.  Students in this course will also be eligible to receive four college credits through SUNY Erie for a reduced tuition.  Students should own a TI-84 plus graphing calculator, a TI-89 is preferred.

STATISTICS THROUGH APPLICATIONS (MA10) 

Credit: 1             Length: 40 Weeks       Grades: 11 & 12

Prerequisite:  Successful Completion of Algebra II or Math Applications

This is a math course for eleventh or twelfth graders that have successfully completed Algebra II or Math Applications.  Topics of instruction will include: classical statistical models and approaches. Flexibility has been included in the curriculum so that topical scenarios from the real world are explored. Students will be using graphing utilities to obtain and analyze quantitative data in order to form statistical inferences.  It is expected that students who take this course will be taking an introductory statistics course in college. Students will be taking a school exam in June, NOT the AP exam.  Students should own a TI-84 plus graphing calculator. Students in this course will be eligible to receive four college credits through SUNY Erie for a reduced tuition.

COMPUTER PROGRAMMING/PYTHON (MA18)      

Credit: 1/2      Length: 20 Weeks       Grades: 9-12 Prerequisite:  None

This course is designed to offer an introduction to Computer Science.  Students will learn the basics of computer programming along with the basics of computer science.  The material emphasizes computational thinking and helps develop the ability to solve computer problems.  This course covers the basic building blocks of programming along with other central elements of computer science.  It gives foundation in the tools used in computer science and prepares students for further study in computer science, including AP Computer Science Principles and AP Computer Science A courses. Students in this course will be eligible to receive three college credits through Hilbert for a reduced tuition only if Python is taken along with Java, in the same school year. 

COMPUTER PROGRAMMING/JAVA (MA12)           

Credit: 1/2          Length: 20 Weeks   Grade: 9-12 Prerequisite:  None

This is a programming course in the JAVA language for students who plan on attending college.  It is taught with Eclipse.  Topics include:  simple programs, iterations, interactive programming, selection, methods and arrays. Students in this course will be eligible to receive three college credits through Hilbert for a reduced tuition only if Java is taken along with Python in the same school year. 

AP COMPUTER SCIENCE A (MA13)                  

Credit: 1          Length: 40 Weeks       Grade: 10-12

Prerequisite:  Computer Programming (JAVA or PYTHON) or teacher permission and recommendation

This is a continuation of the programming structures covered in Introduction to Computer Programming.  It follows the Advanced Placement Curriculum and leads to the May AP Exam in Computer Science A. It is an ambitious course and is for students with an advanced mathematics and computer science background.  This course is taught using Java, and is highly recommended for students continuing in college level computer science. Students enrolled in the course will be required to take the AP exam. The fee for the exam is $100.00. Students in this course will be eligible to receive three college credits through Hilbert for a reduced tuition. 

AP COMPUTER SCIENCE PRINCIPLES (MA17)   

Credit: 1 Length: 40 Weeks Grade: 9-12 Prerequisite: Algebra 1

Computer Science Principles introduces students to the foundational concepts of computer science and challenges them to explore how computing and technology can impact the world. Students enrolled in the course will be required to take the AP exam. Students in this course will be eligible to receive three college credits through Hilbert for a reduced tuition. 

CYBER SECURITY (MA20)

Credit: 1 Length: 40 Weeks Grade: 9-12 Prerequisite: None

Students will learn foundational cybersecurity topics including digital citizenship and cyber hygiene, the basics of cryptography, software security, networking fundamentals and basic system administration and all through the CODEHS web-based platform. This is not a coding intensive course but students will learn basis SQL and will utilize basic HTML and JavaScript within specific contexts and will be provided support within those contexts. 

MATH APPLICATIONS (MA15)                   

Credit: 1         Length: 40 Weeks  Grade: 11,12      Prerequisite: Successfully completed the Algebra 1 course 

This math course is for 11th and 12th graders who have successfully completed Algebra. This course will build upon the students’ algebra skills while applying mathematical topics to the real world. Students taking this course will be exposed to such topics as first and second-degree equations and inequalities, graphing linear functions, radicals, systems of equations, area, perimeter, volume, conversions and statistics. Mathematical topics will also be used to solve real-world financial problems including taxes, sales, tips, credit cards, budgeting, and checking accounts. Students taking this course are expected to have a graphing calculator. A non-regents exam will be given at the conclusion of this course. 

AIS MATHEMATICS                

Credit: 0         Length: As Needed

Prerequisite:  Algebra, Geometry and/or Algebra II Regents Score Below 65

This AIS lab is designed to help students gain or improve the skills to pass the Regents exam(s) necessary for graduation.  Classwork focuses on building basic math skills, increasing subject comprehension, improving test taking skills with multiple choice questions and free-response questions.