Algebra 1

Algebra 1 is the first of three mathematics courses in the New York State high school sequence.  This course will assist students in developing skills and processes to be applied using a variety of techniques to successfully solve problems in various settings.  Topics to be covered include linear equations, quadratic and other functions, systems of equations, exponentials, and data analysis. 

 

Algebra 1 Scope & Sequence

 

 

Geometry

Geometry is the second of three mathematics courses in the New York State High School sequence in mathematics.  Students enrolled in this course will develop an understanding of the attributes and relationships of geometric objects, and be able to apply them in a variety of scenarios.  This course is devoted primarily to plane Euclidean geometry, studied both synthetically (without coordinates) and analytically (with coordinates). Students will begin to formalize their geometry experiences from elementary and middle school, using more precise definitions to write a proof.  The concepts of congruence, similarity, and symmetry will be discussed from the perspective of geometric transformation.  The class will discover how the definitions of sine, cosine, and tangent for acute angles founded on right triangles and similarity, along with the Pythagorean Theorem are fundamental in many realworld and theoretical situations.  As students begin to see the connection between algebra and geometry, they will be better prepared to apply the powerful methods of analysis and problem-solving.

 

Geometry Scope and Sequence

 

 

Math Advanced Topics

Topics include advanced algebra, function analysis, functions, matrices, pre-calculus and trigonometry, The curriculum will cover topics in greater detail, complexity, and in more depth. Upon completion of this course, all students are required to take a Math Advanced Topics final.  Students are required to have a graphing calculator. 

 

Math Advanced Topics Scope and Sequence

 

 

Algebra 2

Algebra 2  is the third of the three mathematics courses in the New York State high school sequence.  This course is intended to continue developing alternative solutions, strategies, and algorithms.  Within the course, the following topics will be investigated: Polynomials, Rational and Radical Relationships, Arithmetic, and Geometric Sequences.  Functions such as Exponential, Logarithmic, and Trigonometric will be investigated and their properties explored, Data Analysis, Probability, Data Distributions, and Normal Distributions will be explored.

                                                  

    Algebra 2 Scope and Sequence

 

                                   

 

Mathematics Repeater Classes

Mathematics Repeater classes are for students who passed the course but did not pass the Regents exam, or who passed the Regents exam but not the course.  All students are required to sit for the Regents.  This course focuses on the essential skills needed to pass the regents examination.

 

Math Support Classes

The purpose of the support class is to supplement and support the work of the classroom teacher.  The support teacher reviews skills and concepts taught in the Regents class; reinforces topics in a cyclical manner and provides each student with individualized support. 

 

SAT/ACT Math Preparation

This semester course is designed to prepare students for the Math component of the SAT and ACT examinations.  Students will become familiar with the format and questioning methods. They will review necessary content, learn test-taking techniques and strategies, and develop time-management skills.  Practice works, which will include taking simulated tests, will help students and teachers identify areas of strengths and weaknesses that will be addressed within the framework of the course.

 

Math Concepts

This course is designed for students who have passed the Algebra 2 course. Topics include trigonometry, probability, statistics, coordinate geometry, theory of equations, the structure of the complex number system, arithmetic, and geometric sequences as well as function analysis. The course also provides a brief introduction to Calculus as well as college placement exam preparation. Students are required to have a graphing calculator.

 

Math Concepts Scope and Sequence

 

 

IB Math Applications (Year 1)

The South Side High School’s IB Mathematics: Applications and Interpretation Year 1 class is designed to provide students with a problem-solving and inquiry-based series of learning experiences. These experiences will promote a meaningful understanding of the topics of study in the curriculum and how they can be applied to tangible life experiences. Several of the key concepts students will discover and comprehend will include Numbers and Algebra, Functions and Statistics, and Probability. To allow students the opportunity to experience mathematics in an area of interest, students will complete an inquiry-based statistics project. This curriculum follows the International Baccalaureate Mathematics: Applications and Interpretation SL curriculum, as established by the International Baccalaureate Organization.

 

IB Math Applications (Year 1) Scope and Sequence

 

                                   

 

IB Math Applications (Year 2)

This course recognizes the need for analytical expertise in a world where innovation is increasingly dependent on a deep understanding of mathematics. It includes topics that are traditionally part of a pre-university mathematics course (for example, functions, trigonometry, calculus) as well as topics that are amenable to investigation, conjecture, and proof, like the study of sequences and series. The course utilizes relevant mathematical software and hand-held technology. There is a strong emphasis on the ability to construct, communicate, and justify correct mathematical arguments. In addition, there is importance placed on the development of mathematical thinking. Manipulation of algebraic expressions is required so that students can recognize patterns and understand the mathematical generalization of these patterns.

 

IB Math Applications (Year 2) Scope and Sequence

 

 

IB Math Analysis

This course recognizes the need for analytical expertise in a world where innovation is increasingly dependent on a deep understanding of mathematics. It includes topics that are traditionally part of a pre-university mathematics course (for example, functions, trigonometry, calculus) as well as topics that are amenable to investigation, conjecture, and proof, like the study of sequences and series. The course utilizes relevant mathematical software and hand-held technology. There is a strong emphasis on the ability to construct, communicate, and justify correct mathematical arguments. In addition, there is importance placed on the development of mathematical thinking. Manipulation of algebraic expressions is required so that students can recognize patterns and understand the mathematical generalization of these patterns.

 

IB Math Analysis Scope and Sequence

 

 

Advanced Placement Calculus (AB)

This is a one-year course that follows the curriculum prepared by secondary schools, colleges, and the College Board.  The course consists of a full academic year of work in calculus and related topics comparable to courses in colleges and universities.  The topics covered include elementary functions and their graphs, and limits, differential calculus and its applications, and integral calculus and its applications.

 

Advanced Placement Calculus (AB) Scope and Sequence

 

 

Advanced Placement Calculus (BC)

This class is designed for students who have a genuine interest in math as a field of study and/or students who will need math for their further studies.  This course includes a more detailed study of the calculus topics (Differentiation and Integration) with increased emphasis placed on further calculus (numeration and series).

 

Advanced Placement Calculus (BC) Scope and Sequence

 

 

Advanced Placement Statistics

Advanced Placement Statistics is designed to provide the student with an extensive study of the theory of statistics.  Concepts to be discussed include data collection and analysis, measures of dispersion, probability distributions, confidence intervals, hypothesis testing, analysis of variance, and regression models.  The graphing calculator will be used extensively in this course as both a computational and graphical analysis tool.

 

Advanced Placement Statistics Scope and Sequence

 

 

 

Statistics & Probability

This course is a practical hands-on approach to the study of statistics and probability utilizing project-based learning. It will provide students with an introduction to statistics by focusing on data collection and analysis including topics such as sampling, surveys, experimental design, organizing data, distributions, regression, probability, and inference.  Students will extend their knowledge of probability and statistics by building on concepts learned in Algebra 1 and Algebra 2.  Emphasis is placed on applications, and simulations and activities are designed to aid students’ understanding of the use of probability and statistics to solve real-world problems.  With the assistance of technology, students will apply the concepts in a variety of ways to critically analyze and synthesize information.

 

Statistics & Probability Scope and Sequence

 

Gaetano Accardi, Director of Math, Science & Technology gaccardi@rvcschools.org

 

Teachers

Russ Hoernig (Department Facilitator)

Matt Sussman

Fred Paul

Jeff Rubenfeld

Mike Casamassima

Jen Norton

Ashley Frazer

Andrea Coopersmith

Louis Petersen

Kristi Lay

Rebecca Werner

Chris Bennett

Terese Whang

 

New York State Next Generation Learning Standards

IB Math Applications & Interpretations SL Subject Brief

IB Math Analysis & Approaches SL Subject Brief

AP Calculus AB Course Description

AP Calculus BC Course Description

AP Statistics Course Description

• Algebra 1 Reference Sheet
• Geometry Reference Sheet
• Algebra 2 Reference Sheet