All courses in mathematics aim to increase understanding of the basic concepts of mathematics and problem solving. Each sequence works to prepare the students to be college and career ready.
Students are required to earn three (3) units of Mathematics and successfully complete a math Regents exam prior to graduation. Successful completion of three (3) New York State Regents exams (Algebra, Geometry and Algebra 2) is required to fulfill the New York State Mathematics requirement towards an Advanced Regents diploma.
Graphing calculators are required on the New York State Regents examinations in Algebra, Geometry, and Algebra 2 as well as Advanced Placement exams.

1 Year | 1 Credit

The main focus is elementary Algebra. It is recommended for those students whose academic record reflects difficulty in mathematics.

The course covers the following topics:

• number systems

• operations and properties

• graphing functions

• literal equations, factoring

• word problems

• graphing calculator use

• linear equations/inequalities

• operations with polynomials

Final Assessment: Departmental Final Exam in June is required.

1 Year | 1 Credit

This course is designed to provide the foundations of basic geometry for those students who had difficulty in Algebra and/or took Algebra Foundations and also took Algebra Common Core. Topics include:

• Solving equations

• tools for geometry

• types of angles

• angles of a triangle

• parallel lines

• perpendicular lines

• Pythagorean Theorem

• trigonometry

• area problems

• coordinate geometry

• transformational geometry

• triangle proofs

Final Assessment: Departmental Final Exam in June is required.

Prerequisite: Successful completion of Algebra Common Core and Algebra Common Core Regents.

1 Year | 1 Credit

The goals of this course are to develop proficiency with mathematical concepts and to improve logical thinking. This course will include the use of graphing calculators.

Topics will include:

• congruence

• proving geometric theorems

• constructions

• similarity

• right triangles

• trigonometry

• circles

• expressing geometric properties with equations

• geometric measurement and dimension

• coordinate geometry

• probability

• transformational geometry

• rigid motions

Final Assessment: Local final and Geometry Common Core Regents exam in June.

Prerequisite: Successful completion of Algebra Common Core and Algebra Common Core Regents.

1 Year | 1 Credit

Honors Geometry is a rigorous course that integrates the study of Algebra and Geometry. The goals of this course are to develop proficiency with mathematical skills to expand understanding of mathematical concepts and to improve logical thinking. In-depth real world applications will be integrated throughout the course.

Topics include:

• congruence

• proving geometric theorems

• constructions

• similarity

• right triangles

• trigonometry

• circles

• expressing geometric properties with equations

• geometric measurement and dimension

• coordinate geometry

• probability

• transformational geometry

• rigid motions

Final Assessment: Geometry Common Core Regents exam in June.

Prerequisite: Successful completion of Algebra Common Core and Algebra Common Core Regents.

1 Year | 1 Credit

This course is for students who have passed Algebra Common Core or both Foundations of Algebra and Algebra Common Core, and the Algebra Common Core Regents. The end of the year departmental final exam is required.

Topics include:

• Wages

• Banking

• Credit

• Budgets

• Travel

• Mortgages

• Loans

• Investing

• Other business mathematics topics.

Final Assessment: Departmental Final Exam in June is required.
Prerequisite: Successful completion of Algebra 1 Common Core.

1 Year | 1 Credit

This course integrates the study of Algebra and Geometry.  This course will include the use of graphing calculators.

Topics include:

• polynomial, rational, and radical relationships

• functions (linear, quadratic, exponential, piecewise)

• trigonometric functions (circles and periodic phenomena)

• probability

• inferences and conclusions from data

Final assessment: Algebra 2 Common Core Regents Exam in June

Prerequisite: Successful completion of Algebra I Common Core.

1 Year | 1 Credit

This course is for students who have successfully completed Algebra 2 Common Core. The goal is to better prepare them for AP Calculus AB. This course will include the use of graphing calculators.

Topics will include:

• Unit 1: Polynomial and Rational Functions

• Unit 2: Exponential and Logarithmic Functions

• Unit 3: Trigonometric and Polar Function

Final Assessment: FMCC final exam and AP Precalculus exam are required.

Prerequisite: Successful completion of Algebra 2 Common Core.

1 year I 1 credit

Topics include problem-solving, introductory set theory, topics in algebra, topics in geometry, basic probability and statistics, and consumer mathematics. Not open to students who have a “B” or better in Algebra 2 and Trigonometry or its equivalent. Not open to students who have taken Pre-Calculus or higher. The course does not transfer to colleges other than FMCC.

1 Year | 1 Credit

This is a college-level course Advanced Placement course. Students are required to take the AP exam in May. The school district pays for the exam.  Students also have the option of paying for college credit through FMCC.

Topics include:

• limits

• derivatives and their applications (optimization and rates of change)

• integration and its applications (area under the curve, volume of solids)

• transcendental functions

Final Assessment: Final Assessment: FMCC final exam and AP AB Calculus exam are required.

Prerequisite: Successful completion of Algebra 2 Common Core.

1 Year | 1 Credit

This is a college-level course Advanced Placement course. Students are required to take the AP exam in May. The school district pays for the exam.  Students also have the option of paying for college credit through FMCC.

Topics include:

• Parametric conversion

• Polar graphing and area

• Differentiate transcendental functions

• Calculate the area between curves

• Calculate the volume of a solid of revolution

• Calculate the arc length

• Evaluate improper integrals

• Evaluate sequence and series

Final Assessment: Final Assessment: FMCC final exam and AP Calculus BC exam are required.

1 year | 1 credit

Topics include absolute value equations and inequalities; second degree (quadratic) equations, inequalities, graphs, and applications; relations and functions; rational expressions, equations, inequalities and applications; radical expressions and equations; and complex numbers. Students cannot have taken Algebra 2 and passed with a “B” or higher. This course is recommended for 10th-grade College and Career Pathways students who have passed Algebra 1. It is also available for students who have passed both Algebra 1 and Geometry.  It is a college-level course through FMCC.

1 year | 1 credit

This course will focus on the basic concepts of statistics and probability.  It is a college level course and students have the option of paying for college credit through FMCC. This course is recommended for students in 11th grade College and Career Pathways who have passed Algebra 1 and the Algebra 1 Regents exam as well as Intermediate Algebra or Algebra ll.  The end of the year departmental final exam is required. A statistical 2 variable calculator is required. The teacher will be modeling with the TI-30XS calculator. Topics include:

• Probability

• Descriptive and inferential statistics including central tendency

• Variability

• Correlation

• Regression

• Parametric tests

Students will be able to:

• Describe a data set using measures of central tendency, variation and position.

• Calculate basic probabilities, including the addition and multiplication rules.

• Create confidence intervals and test hypotheses involving means and proportions

• Analyze bivariate data.