Program of Studies 

The New York State Common Core Learning Standards provide the framework and guidelines for all mathematics education programs in the North Rockland Central School District. All students will be required to complete a minimum of three (3) years of study in Regents level mathematics courses and successfully pass (65+) at least one (1) Mathematics Regents Exam in order to receive a NYS Regents Diploma, and ALL Mathematics Regents exams (Algebra 1, Geometry, and Algebra 2) in order to receive an Advanced Regents Diploma.

NYS REGENTS DIPLOMA PROGRAM

APPLIED MATH FOR COLLEGE (GRADE 9)

This is the first course in the Regents Diploma program. This course is designed for students who require additional time to achieve mastery of the Algebra 1 curriculum. Students will study topics in Functions, Equations and Inequalities, Exponents, and Polynomials. Students will take the Algebra 1 Regents Examination in January of grade 10. (Prerequisite: Math 8)

ALGEBRA 1 (GRADE 10)

This is a course for students who have completed Applied Math for College in grade 9. Students will study topics in Functions, Equations and Inequalities, Exponents, Polynomials, Rational vs. Irrational Numbers, and Statistics. The course will offer students the opportunity to complete the Algebra 1 curriculum and take the Algebra 1 Regents Exam in January. (Prerequisite: Applied Math for College grade 9)

COLLEGE PREP MATH (GRADE 11)

This is the third course in the Regents Diploma program. The course will offer students the opportunity to study topics from the Advanced Regents Diploma program, as well as complete their third required course for graduation purposes. The course will include hands-on work with the graphing calculator, alternative assessments through a project driven curriculum, and SAT preparatory work. This course is recommended for students who are looking to continue their education at the collegiate level. (Prerequisite: Algebra 1 and either Applied Math for College or Geometry)

ELEMENTARY ALGEBRA (GRADE 12)

ROCKLAND COMMUNITY COLLEGE MAT 048/101

This is a one year course offered by RCC (called MAT 101 Elementary Algebra by the college). The MA 048 is an additional skills component that is required to be taken with MAT 101. MAT 101 is a basic introductory college mathematics course focusing primarily on advanced Algebra. Students will study topics in Algebraic Expressions and Equations; Proportions and Inequalities; Graphing Linear Equations and Inequalities; Polynomials; Factors; Quadratic and Radical Equations. Students will have the opportunity to earn up to 3 college credits. (Prerequisite: Integrated Geometry for College in grade 11 or College Prep Math)

NYS ADVANCED REGENTS DIPLOMA PROGRAM

ALGEBRA 1 (GRADE 9)

This is the first course in the Advanced Regents Diploma Program. Students will study topics in Functions, Equations and Inequalities, Exponents, Polynomials, Rational vs. Irrational Numbers, and Statistics.  Students will take the Algebra 1 Regents Examination at the completion of this course in June.

(Prerequisite: Math 8)

GEOMETRY (GRADE 10, 11 OR 12)

This is the second course in the Advanced Regents Diploma Program. Students will study topics in Reasoning and Proof, Transformations, Congruence and Similarity, Right Triangle Trigonometry, Constructions, and Two and Three Dimensional Shapes. Students will take the Geometry Regents Examination at the completion of the course in June. (Prerequisite: Algebra 1 or Algebra 1 (Honors))

INTEGRATED GEOMETRY FOR COLLEGE (GRADE 10 or 11)

This course is for students who have completed Algebra 1 in either grade 9 or 10.  Students will study topics in Reasoning and Proof, Logic, Matrices,Transformations, Locus, Systems of Equations, Constructions, and additional topics in Geometry.(Prerequisite: Algebra 1)

ALGEBRA 2 (GRADE 10, 11 OR 12)

This is the third course in the Advanced Regents Diploma Program. Students will study topics in Quadratic, Polynomial, Rational, Exponential, and Logarithmic Functions; Sequences and Series; Probability and Statistics; and Trigonometry. Students will take the Algebra 2 Regents Examination at the end of this course in June. (Prerequisite: Geometry, Geometry (Honors), or College Prep Math)

PRECALCULUS (GRADE 11 OR 12)

Precalculus is designed to prepare students for an advanced mathematics course at the college level. The Precalculus course consists of a full academic year of work in topics building upon those studied in the three year Regents program as well as a brief introduction to Calculus. Students will study topics in Functions, including Linear, Quadratic, Polynomial, Rational, Exponential, Logarithmic, and Trigonometric; Polar Coordinates; Mathematical Induction; Limits; and end the year with an Introduction to Calculus. (Prerequisite: Algebra 2 or Algebra 2 (Honors))

PRECALCULUS RCC (GRADE 11 OR 12)

ROCKLAND COMMUNITY COLLEGE MAT 135

This is a college level course in Precalculus offered by RCC (called MAT 135 by the college). It is designed for students who will be taking a course in Calculus the following year (either Advanced Placement or RCC here at NRHS, or Calculus 1 and Calculus 2 at the college level). It is a more rigorous version of Precalculus, developing topics in greater detail as well as introducing additional topics in Calculus for enrichment. Students will study topics in Functions, including Linear, Quadratic, Polynomial, Rational, Exponential, Logarithmic, and Trigonometric; Polar Coordinates; Conic Sections; Matrices and Systems of Equations; Mathematical Induction; Limits; and end the year with an Introduction to Calculus. Students will have the opportunity to earn up to 4 college credits. (Prerequisite: Overall 3.5 average in Algebra, Geometry, and Algebra 2)

ALGEBRA 1 (HONORS) (GRADE 8 OR 9)

This is the first course in the Honors Mathematics program. Students will study topics in Functions, Equations and Inequalities, Exponents, Polynomials, Rational vs. Irrational Numbers, and Statistics. Students will take the Algebra Regents Examination at the end of the course in June. (Prerequisite: Math 7x or Math 8 and students must meet the required criteria for Honors placement)

GEOMETRY (HONORS) (GRADE 9 OR 10)

This is the second course in the Honors Mathematics program. Students will study topics in Reasoning and Proof, Transformations, Congruence and Similarity, Right Triangle Trigonometry, Constructions, and Two and Three Dimensional Shapes. Students will take the Geometry Regents Examination at the end of the course in June. (Prerequisite: Algebra 1 or Algebra 1 (Honors) and students must meet the required criteria for Honors placement)

ALGEBRA 2 (HONORS) (GRADE 10 OR 11)

This is the third course in the Honors Mathematics Program. Students will study topics in Quadratic, Polynomial, Rational, Exponential, and Logarithmic Functions; Sequences and Series; Probability and Statistics; and Trigonometry. The study of higher level mathematical topics, additional opportunities to integrate the use of technology, applications and connections to real world problems will be included for enrichment. Students will take the Algebra 2 Regents Examination at the completion of the course in June. (Prerequisite: Geometry or Geometry (Honors) and students must meet the required criteria for Honors placement)

STATISTICS RCC (GRADE 12 ONLY)

ROCKLAND COMMUNITY COLLEGE MAT 12500

Statistics acquaints students with collection and analysis of quantitative data through measures of central tendency, measure of variation and probability and the role of statistics in today's world. Students will also learn procedures of analysis of data for use in making decisions. Topics include descriptive statistics, probability distributions, sampling, confidence intervals, hypotheses testing, correlation and regression. Students will have the opportunity to earn up to 4 college credits.
(Prerequisite: Algebra 2)

CALCULUS RCC (GRADE 12)

ROCKLAND COMMUNITY COLLEGE MAT 203

This is a college level course in Calculus 1 offered by RCC (called MAT 203 by the college) that is taught over the entire year. Students will study topics in Limits; Calculating Derivatives; Curve Sketching, Motion, Optimization, and Related Rates; and Integration. Students will have the opportunity to earn up to 4 college credits. (Prerequisite: Precalculus)

AP CALCULUS AB (GRADE 12)

ADVANCED PLACEMENT

AP Calculus AB is equivalent to Calculus 1 at the college level. It consists of a full high school academic year of work in Calculus comparable to courses in colleges and universities. It is expected that students who take AP Calculus AB will seek college credit, college placement, or both, from institutions of higher learning. All students are required to take the AP Calculus AB Examination in May and pay the examination fee. Students must apply for admission into AP Calculus AB. (Prerequisite: Precalculus(RCC) (A- or higher) or Precalculus (A or higher) and teacher recommendation)

AP CALCULUS BC (GRADE 12)

ADVANCED PLACEMENT

AP Calculus BC is an extension of AP Calculus AB rather than an enhancement; common topics require a similar depth of understanding. It is equivalent to Calculus 1 and the majority of Calculus 2 at the college level. Due to the added topics of study, this course will meet once every day and will meet for a second class period every other day. Students must be familiar with the language of functions, properties of functions, the algebra of functions, and the graphs of functions. Students should be able to work with functions represented in a variety of ways: numerically, analytically, graphically, and verbally - and understand the connections among these representations. All students are required to take the AP Calculus BC Examination in May and pay the examination fee. Students must apply for admission into AP Calculus BC. (Prerequisite: Precalculus (RCC) (A or higher) or Precalculus (A+ average) and teacher recommendation.)