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.

## Algebra Foundations

### 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
- line equations/inequalities
- operations with polynomials

Final Assessment: Departmental Final Exam in June is required.

## Algebra 1 Common Core

### 1 Year | 1 Credit

Algebra is the first year of a three-year sequence. It is a fast paced, rigorous course intended for students with average and above ability in mathematics. Ninth-graders in Algebra will receive math lab every other day in conjunction with Algebra.

Topics in this course include:

- algebra (see topics in Algebra Foundations)
- number and quantity
- statistics
- functions
- graphing
- analysis of graphs
- word problems
- graphing calculators
- system of equations/inequalities

Final Assessment: Algebra I Common Core Regents exam in June

## Geometry Foundations

### 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:

- reinforcement of solving equations
- supplementary and complementary angles
- midpoint
- angle bisector
- sum of the angles of a triangle
- parallel lines
- perpendicular lines
- interior and exterior angles of a triangle
- similar polygons
- Pythagorean Theorem
- trigonometry
- area problems
- coordinate geometry
- logic
- geometric constructions
- 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.

## Geometry Common Core

### 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.

## Geometry Common Core Honors

### 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.

## Consumer Applied Mathematics

### 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:

- Career interviews
- Wages
- Banking
- Credit
- 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.

## Applied Math Concepts

### 1/2 year| 1/2 credit

This course focuses on a deeper application of algebra concepts to build upon skills developed in an algebra course. While this course cannot replace algebra, it is designed to assist students who need to pass the Algebra Regents exam. Topics include:

- Algebra
- Number and quantity
- Functions
- Analysis of graphs
- Word problems
- Calculator use

## Algebra 2 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.

## Pre-Calculus

### 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:

- relations and functions
- systems of equations
- polynomial, rational, trigonometric functions
- vector and parametric functions
- polar coordinates
- complex numbers

Final Assessment: Departmental Final Exam in June is required.

Prerequisite: Successful completion of Algebra 2 Common Core.

## Contemporary Math

### 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. All students will be required to take the Algebra 1 Regents exam in January, even if they have passed the exam. The goal is to reach Mastery on that exam. If a student has not passed the Algebra 1 regents after the January Regents exam, then they must take it again in June 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.

## Mathematics Applications – A Real World Experience

### 1 year | 1 credit

This course is designed to provide mathematical applications to real world situations. Current events and happenings around the world will be integrated into the curriculum to provide an appreciation of where math occurs on a daily basis. Topics include, but are not limited to:

- Probability
- Statistics
- Google Suite including Google Sheets
- Interpreting graphs
- Coding
- Logic
- Technology with the TI -84 Plus Graphing Calculator

Final Assessment: Departmental Final Exam in June is required.

Prerequisite: Successful completion of two (2) math credits.

## AP Calculus AB

### 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 Calculus exam are required.

Prerequisite: Successful completion of Algebra 2 Common Core.

## AP Calculus BC

### 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 exam are required.

## Exploring Math Topics Using Technology

### 1/2 year | 1/2 credit

This course is designed to support students use of technology in the math and science classrooms.

Topics include:

- Calculator use (TI 84+ and online calculator)
- Excel formulas, charts, spreadsheets
- Exploring various apps on iPads
- Programming
- Statistics – collecting, analyzing and interpreting data

## Intermediate Algebra

### 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.

## Introduction to Statistics ( FMCC MAT125)

### 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.