Math

If I have seen further than others,

it is by standing upon the shoulders of giants.
Isaac Newton

 

926 Newfield Avenue

Stamford, CT 06905

203.322.3401

 
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DEPARTMENT OF MATHEMATICS

 

PHILOSOPHY

 

Competency in Mathematics skills is essential to the effective functioning of an educated person in today’s society. Understanding that different people require differing degrees of mathematical competence and have differing interests and skills, mathematics objectives and programs in varying levels of complexity have been established.

 

At all levels, students acquire competence in basic skills, learn basic mathematical concepts, and develop their ability to apply logical and analytic reasoning techniques to problem solving. Those students whose intent is to pursue a mathematically oriented career are provided with the advanced courses necessary to establish a firm foundation for subsequent studies.

 

In view of the technological age that we live in, it is necessary that all students be able to use technology in problem solving. The Mathematics Department requires that all students in all math courses have a graphics calculator, in class and at home.

 

ALGEBRA 1                                                                                   COLLEGE 2           WEIGHT: 3             1 CREDIT

GRADE 9

Pre-requisite:        Administrative Approval

 

This course is designed to cover the operations on the real number system, open sentences, graphic linear functions, and to develop the basic skills necessary for factoring and solving both equations and inequalities.

 

ALGEBRA 1                                                                                   COLLEGE 1           WEIGHT: 4             1 CREDIT

GRADE 9

Pre-requisite:        Administrative Approval

 

This course is designed to cover the operations on the real number system, open sentences, graphing linear functions, and to develop the basic skills necessary for solving equations, inequalities and systems of equations. Additionally, the course will cover topics in polynomials and factoring, properties of exponents and radicals.

 

ALGEBRA 1                                                                                   HONORS                WEIGHT: 5             1 CREDIT

GRADE 9

Pre-requisite:        Administrative Approval

 

The topics covered in Algebra 1 are also covered in Honors Algebra 1, but in greater depth. Included in this course is the introduction to the study of the straight line, and the solution of simultaneous linear equations.

 

GEOMETRY                                                                                   HONORS                WEIGHT: 5             1 CREDIT

GRADES 9, 10

Pre-requisite:        Honors Algebra 1 (C- average) or Algebra 1 (A- average) and/or Administrative Approval

 

This course is designed for those students who show above average ability in Algebra 1. The primary emphasis in this course will center about proof work with respect to parallel and perpendicular lines, congruency, area, circles, and properties of right triangles.


DEPARTMENT OF MATHEMATICS (Con’t)

 

GEOMETRY                                                                                   COLLEGE 1           WEIGHT: 4             1 CREDIT

GRADES 9, 10

Pre-requisite:        Algebra 1 (C- average), Integrated Algebra 1 (A- average) and/or Administrative Approval

 

This course is designed to cover topics involving parallel and perpendicular lines, congruency, similarity, areas, circles, right triangles and right triangle trigonometry. Additionally, ability to reason deductively is developed through formal proof work.

 

 

INTEGRATED ALGEBRA                                                                           WEIGHT: 3             1 CREDIT

GRADES 10, 11

Pre-requisite:        Algebra 1–C2 (C- average) and/or Administrative Approval

 

This course is designed to cover factoring and polynomials, operations with fractions, properties of exponents and radicals, and quadratic equations and inequalities.

 

ALGEBRA 2                                                                                   HONORS                WEIGHT: 5             1 CREDIT

GRADES 10, 11

Pre-requisite:        Honors Geometry (C- average), Geometry (A- average) and Administrative Approval

 

This course is designed to cover topics of linear open sentences, introduction to functions, quadratic equations and functions, quadratic relations and functions, exponential and log functions, vectors and matrices.

 

ALGEBRA 2                                                                                   COLLEGE 1           WEIGHT: 4             1 CREDIT

GRADES 11, 12

Pre-requisite:        Geometry (C- average), Honors Geometry, and/or Administrative Approval

 

This course is designed to cover elementary functions, general solutions to quadratic systems, and the laws of exponents. The number system will be expanded to cover the complex number system.

 

GEOMETRY                                                                                   COLLEGE 2           WEIGHT: 3             1 CREDIT

GRADE 11

Pre-requisite:        Algebra 1, Integrated Algebra ( C- average) and/or Administrative Approval

 

This course is designed to cover topics in congruency, parallel and perpendicular lines, similarity, and the study of right triangles.

 

TRIGONOMETRY/PRE-CALCULUS                                                                     WEIGHT: 4             1 CREDIT

GRADES 11, 12

Pre-requisite:        Algebra 2 (C- average)

 

In the first semester, this course will develop the circular functions including trigonometric identities, equations and inverses. In the second semester, the main emphasis will be the analytic study of lines, conic sections and polynomials. Additionally, the Principle of Mathematical Induction will be introduced. A TI-83 calculator is required.

 

MATHEMATICAL ANALYSIS                                                                                  WEIGHT: 6             1 CREDIT

GRADES 11, 12

Pre-requisite:        Honors Algebra 2 (C-average) and/or recommendations of Algebra Teacher and Department Chairperson

 

This course is designed to cover topics in trigonometry and analytical geometry along with the study of theory equations, polynomial functions, and the theory of limits. A TI-83 calculator is required.

 

DEPARTMENT OF MATHEMATICS (Con’t)

 

CALCULUS                                                                                    A. P.                           WEIGHT: 6             1 CREDIT

GRADE 12

Pre-requisite:        Mathematical Analysis (C- average), Pre-Calculus (B average) and/or Administrative Approval

 

This course is designed to cover topics in limits, derivatives of Algebraic functions, and their applications, integration and the application of the definite integral, transcendental functions, methods of integration, and plane analytical geometry. All students will be required to take the A. P. Calculus Exam. A TI-83 calculator is required.

 

INTRODUCTION TO CALCULUS                                                         WEIGHT: 5             1 CREDIT

GRADE 12

Pre-requisite:        Mathematical Analysis or Pre-Calculus and/or Administrative Approval

 

This course will introduce the student to selected topics in calculus, statistics, and direct mathematics. A TI-83 calculator is required.