#### Robert Aftanis

Mathematics Teacher

- 609 • 380 • 0200 x144
- raftanis@capemaytech.com

Algebra 1 - College Prep

A first year College Prep course. Students gain a thorough understanding of operations with real numbers and solving single-variable equations and inequalities. Linear algebra (including the Cartesian Coordinate Plane, slope, and graphing linear equations) is covered. Other major topics include polynomials and factoring, basic statistics, rational expressions, an introduction to functions and function notation, and an introduction to radicals. Throughout the course, situational word problems that are connected to other disciplines and daily life are solved with an emphasis placed on the problem solving process and logical reasoning. Appropriate use of technology including full integration of the scientific calculator is stressed.

Algebra 1 - Honors

This is an honors level course for students who have been highly successful in middle school mathematics. This course includes the study of linear equations in one and two variables, functions, inequalities, graphing on a line and in the coordinate plane, quadratic equations, rational and radical algebraic expressions. The course is challenging, certain topics are covered at an accelerated pace, allowing time for more advanced topics. Supplementary assignments are required. The text emphasizes a functional approach that leads to a deeper understanding of concepts and mastery of skills. Graphing calculator required. Texas Instruments TI-83 recommended.

Algebra II - College Prep

A college prep course and continues the study of the concepts introduced in Algebra 1 and Geometry. This course more formally explores the real number system, equations and inequalities, functions and graphs, systems of equations and inequalities, polynomials, rational expressions, quadratic functions, and polynomial functions. Problem solving strategies and applications are introduced throughout the course and serve to connect algebra with daily life and higher order thinking. Computers and graphing calculators are used as aids in developing algebraic concepts.

Algebra II - Honors

Algebra 2 Honors continues the study of the concepts introduced in Algebra I going more in depth with each topic and by adding more challenging problems. This course more formally explores the real number system, equations and inequalities, functions and graphs, systems of equations and inequalities, polynomials, rational expressions, quadratic functions, and polynomial functions. Problem solving strategies and applications are introduced throughout the course and serve to connect algebra with daily life and higher order thinking. Computers and graphing calculators are used as aids in developing algebraic concepts.

Geometry - College Prep

**Prerequisite: Algebra I**

This course develops elementary geometry concepts and logical mathematical reasoning skills introduced in middle school math and high school algebra courses. The course explores two- and three-dimensional space, and will guide students into developing for themselves all basic geometric theorems. Assignments that require the students to apply principals of geometry to real world problems are stressed. Computers and special manipulatives will be used through the year to augment the geometry concepts and project development.

Geometry - Honors

**Prerequisite: Algebra I**

Honors Geometry is designed to give the advanced student the opportunity to study the topics of geometry at
more depth and at a faster rate. Emphasis is placed on traditional Euclidean geometry and coordinate geometry,
geometric properties, spatial relationships, angle relationships, deductive and inductive reasoning and proofs.
This course is designed to use methods of reasoning to solve problems. Students will learn about angles and
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segment relationships, proofs, parallel and perpendicular lines, congruent triangles, quadrilaterals, similarity, right
triangles, trigonometry, transformations, area, surface area, volume, and circles. Students will be able to apply
their algebra skills to the geometric properties. This course is designed to begin preparing students for various
high stakes math tests.

Pre-Calculus (College Prep) (Possible Math Elective)

**Prerequisite: Geometry and Algebra II**

Pre-Calculus is a continuation of the more advanced concepts of Algebra and Geometry integrated with the study
of analytic and triangle trigonometry. The course is designed for students with a strong background in
mathematics. Functions are explored in great detail including polynomial, rational, logarithmic, trigonometric and
inverse trigonometric. Students can then focus on understanding the relationship and behavior of the function, in
preparation for the advanced study of calculus. Students further explore functions in real-life situations, including
science, economics, biology and navigation. Skills in analysis, reasoning and making connections are stressed
throughout the course. This course is a traditional fourth course pathway for the NJSLS-M standards, and all
standards covered are at a reinforcement level and advanced level, as mastery was expected in the prerequisite
courses.

Pre-Calculus (Honors) (DE) (Math Elective)

**Prerequisite: Geometry and Algebra II**

Honors Pre-Calculus will focus intense study of algebraic functions
(polynomial, rational, radical) and transcendental functions (exponential, logarithmic). Students will be required
to solve problems graphically, analytically, and numerically. Students will study ratios, functions, identities, radian
measurements, vectors, polar coordinates, inverse functions, and the theory of equations. It allows students to
discover the relationships between the parts of a triangle, trigonometric functions, and practical problems relating
to these functions. This course provides for a solid transition to the study of Calculus. Students enrolled in
Pre-Calculus have the option to also be enrolled in a dual credit program available through the Richard Stockton
College of New Jersey and/or ACCC.

Advanced Placement Calculus AB (AP) (DE) (Math Elective)

**Prerequisite: Honors Pre-calculus with a 93 or above average and teacher recommendation**

Advanced Placement Calculus AB is comparable to calculus courses in colleges and universities. It is expected that
students who take an AP course in calculus will seek college credit, college placement or both from institutions of
higher learning. The course teaches all topics associated with Functions, Graphs and Limits; Derivatives; and
Integrals. The course provides students with the opportunity to work with functions represented in a variety of
ways (graphically, numerically, analytically, and verbally) and emphasizes the connections among these
representations. Students enrolled in AP Calculus have the option to also be enrolled in a dual credit program
available through the Richard Stockton College of New Jersey and/or ACCC.

Mathematics Teacher

- 609 • 380 • 0200 x144
- raftanis@capemaytech.com

Mathematics Teacher

- 609 • 380 • 0200 x150
- jbresan@capemaytech.com

Mathematics Teacher

- 609 • 380 • 0200 x153
- mcraig@capemaytech.com

Mathematics Teacher

- 609 • 380 • 0200 x151
- kheadley@capemaytech.com

Mathematics Teacher

- 609 • 380 • 0200 x152
- ylee@capemaytech.com

Mathematics Teacher

- 609 • 380 • 0200 x143
- mpatterson@capemaytech.com

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