MATHEMATICS

Students have the opportunity to take many different levels of mathematics to cultivate an interest in mathematics and prepare them for life beyond high school. All mathematics courses are aligned with the standards established by the State Education Department. Students are recommended to specific mathematics classes according to skill levels which are determined by the mathematics teacher, standardized tests, and student performance.


MINIMUM REGENTS DIPLOMA REQUIREMENTS FOR MATH

All students must pass one mathematics Regents exam with a score 65 or higher, and earn a total of three credits in mathematics to graduate and qualify for a Regents Diploma.

Regents Diploma

Three math credits plus a grade of 65 or higher on one of the following Regents exams: Algebra, Geometry OR Algebra 2

Advanced Regents Diploma

Three math credits plus a grade of 65 or higher on each of the following Regents exams: Algebra, Geometry AND Algebra 2

Regents Diploma with Advanced Designation in Mathematics

Three math credits plus a grade of 85 or higher on each of the following Regents exams: Algebra, Geometry AND Algebra 2

Math Sequence

MATHEMATICS COURSES

ALGEBRA

(1 CREDIT)

The fundamental purpose of this course is to formalize and extend the mathematics that the students learned in the middle school. There is a focus on real-life applications and word problems that require a high reading level. This more ambitious version of Algebra is designed to prepare students for the Algebra Regents exam in June. Topics of this course include: solving equations and inequalities; systems of equations; inequalities; polynomials; factoring; statistical regressions; linear, exponential, and quadratic models.

MATH TOPICS

(1 CREDIT)

Math Topics is a course designed for students who did not meet proficiency in Mathematics 8. Students are enrolled in this course based on severity of need. A math specialist teaches the class and collaborates with the Algebra team to support their course. In addition the goal is to bolster and grow basic math skills.

MATH EXPLORATIONS

(1 CREDIT)

This course is designed for students who did not pass the Algebra Regents or upperclassmen who have not taken Algebra or Algebra Regents Exam. This course will focus on mastering Algebra and test taking skills to complete the required exit exam for graduation. Students will perform high leverage tasks and examine applications of Algebra in the real world. Regents exam. Students will have two opportunities to be successful on the Algebra Regents (January & June)

ALGEBRA/GEOMETRY

(1 CREDIT)

Prerequisite: Successful completion of the Algebra Regents exam

This is a rigorous course open to 9th and 10th graders who are intending to pursue an Advance Regents Diploma. Students will revisit Algebra topics and apply them to geometric shapes. In addition they will study 3-dimensional figures, angles, lines and apply geometric concepts to real-life situations. There will be a local final at the completion of the course.

GEOMETRY 1

(1 CREDIT)

Prerequisite: Successful completion of either Algebra or Alg1B/Geo1

Open to 10th, 11th, or 12th graders who are NOT intending to go for the advanced Regents diploma. Students will study the relationships of geometric shapes, 3-dimensional figures, angles, lines, develop the process of writing proofs, and apply geometric concepts to real-life situations. There will be a local final at the completion of the course.

GEOMETRY

(1 CREDIT)

Students enrolling in this course MUST have passed the Algebra Regents with a 75 or higher.

The fundamental purpose of the course in Geometry is to formalize and extend students’ geometric experiences from middle school. Students explore more complex geometric situations and deepen their explanations of geometric relationships, moving towards formal mathematical arguments. Students will study the relationships of geometric shapes, 3-dimensional figures, angles, lines, and develop the process of writing formal proofs. This is an advanced Regents math course designed to prepare the students to pass the Geometry Regents at the end of the year in June.

COLLEGE BOUND MATH

(1 CREDIT)

Prerequisite: Student that successfully completed Geometry 1 or Geometry

Open to 11th or 12th graders who are NOT intending to go for the advanced regents diploma. This course will include higher- level algebraic skills, the theory of functions, financial applications, and trigonometry. There will be a local final at the completion of the course.

ALGEBRA 2

( CREDIT)

Pre-requisite: Student must have passed both the Algebra and Geometry Regents with a 75 or better.

This is a fast-paced Advanced Regents math course designed to prepare students to pass the Algebra 2 Regents in June as well as to provide them with a foundation for future IB coursework. Heavy emphasis is placed on advanced algebra, the theory of functions, trigonometry, and statistics. Practice IAs will be part of the coursework in the preparation for possible enrollment in the IB Mathematics SL, IB Math Studies, or further advanced math courses. Students below the pre-requisite will struggle with the content and pace of this course.


ALGEBRA 2A

(1 CREDIT)

Pre-requisite: Student must have passed both the Algebra and the Geometry Regents exams.

This course is year 1 of a two year Algebra 2 sequence. Topics include: advanced algebra, the theory of functions, trigonometry, and statistics. There will be a local final at the completion of the course.

ALGEBRA 2B

(1 CREDIT)

Prerequisite: Student successfully completed Algebra 2 A or any student who failed the Algebra II Regents.

This course is year 2 of a two year Algebra 2 sequence and is designed for students ho have successfully completed Algebra 2A. Students will take the Algebra II Regents at the end of the year in June. Topics include: advanced algebra, the theory of functions, trigonometry, and statistics.

INTRO TO COMPUTER SCIENCE

(1 CREDIT)

Prerequisite: Open to 11th or 12th grade students. Student must have at least 2 math credits and successfully passed a math regents exam.

Students will explore a variety of programming systems and languages to create interactive applications and systems. By collaborating in a hands-on environment, students will learn problem solving, software design, debugging strategies, and the foundations of computer science. Students may create projects in the areas of graphics and games, animation and art, electronics systems, and interactive fashion, all using open-source software tools such as Scratch, Arduino, Processing, and Python.

INTRO TO COMPUTER SCIENCE: MULTIMEDIA CHS

(1 CREDIT) (Siena Credits)

Prerequisite: Open to 11th or 12th grade students. Intro to Computer Science or Recommendation from teacher

College credit course introducing computer science by teaching students to write code using Python and studying the interworking's of computers. Students will perform pictorial manipulation using Python. For example students will learn how to change filters and create videos using algorithms and mathematical reasoning

STATISTICS OF SPORTS

(1 CREDIT)

Pre-requisite: Successful completion of three math credits.

Students will explore how statistics and probability are used in sports analysis. They will learn how statistics fits into their daily lives and how to interpret data. There will be extensive use of the TI-84+ calculator and the internet.

STATISTICS CHS

(1 CREDIT)

3 CHS CREDITS, SCCC, MAT 147

Pre-requisite: Student successfully completed Algebra 2A or a higher level course. Not recommended for student who took Math Studies IB

This course will apply statistics to real world situations. Topics include hypothesis testing, probability, descriptive statistics, and sampling strategies. There will be extensive use of the TI-84+ graphing calculator, Microsoft Office software, and Internet resources.

PRE-CALCULUS CHS

(1 CREDIT)

Prerequisite: Student successfully completed Algebra 2, 2B, or IB Math Applications.

This course is designed to give students practice with pre-calculus concepts and prepare them for a calculus course. Topics include advanced theory of functions with an emphasis on graphing techniques, algebraic theory, limits, and an introduction to differential calculus.


MATH APPLICATIONS IB SL

STANDARD LEVEL (1 CREDIT)

Prerequisite: Student successfully completed Algebra 2.

This course recognizes the increasing role that mathematics and technology play in a diverse range of fields in a data-rich world. As such, it emphasizes the meaning of mathematics in context by focusing on topics that are often used as applications or in mathematical modelling. 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. Mathematics: applications and interpretation will develop mathematical thinking, often in the context of a practical problem and using technology to justify conjectures. The course includes an Internal Assessment or exploration that is an independent piece of work by the students due in March and the IB External Assessments given in May.

MATH ANALYSIS IB SL

STANDARD LEVEL (1 CREDIT)

Prerequisite: Student successfully completed Pre-IB Mathematics with a 75 or higher.

This course recognizes the need for analytical expertise in a world where innovation is increasingly dependent on a deep understanding of mathematics. The focus is on developing important mathematical concepts in a comprehensible, coherent and rigorous way. Students will apply their mathematical knowledge to solve abstract problems as well as those set in a variety of meaningful contexts. Mathematics: analysis and approaches has a strong emphasis on the ability to construct, communicate and justify correct mathematical arguments. Students should expect to develop insight into mathematical form and structure, and should be intellectually equipped to appreciate the links between concepts in different topic areas. The course includes an Internal Assessment or exploration that is an independent piece of work by the students due in March and the IB External Assessments given in May.

CALCULUS CHS

(1 CREDIT)

3 CHS CREDITS, SCCC, MAT 180

Prerequisite: Student successfully completed either Pre-Calculus or IB Mathematics SL

This course is intended to introduce students to those topics typically found in Calculus I at the college level. Functions, limits, derivation, and integration will be the focus of the curriculum. A school-level midterm and final exam will be administered.