<%@LANGUAGE="JAVASCRIPT" CODEPAGE="65001"%> NCCHS: Mathematics

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Mathematics

The Mathematics Department develops the mathematical skills necessary to function successfully in today’s increasingly technological society.  The following skills will be emphasized:  problem solving, logical reasoning, communication of mathematical concepts, applying mathematics to real world situations, data collection and analysis, and using technology as a tool for solving mathematical problems.

The sequential nature of Mathematical knowledge requires a strict adherence to the course prerequisites.  In particular, BOTH semesters of a prerequisite course should be passed before moving on to the next course.  Students in grades 9 through 12 are REQUIRED TO HAVE A SCIENTIFIC CALCULATOR.  A graphic calculator is not required, but is recommended for advanced courses (Advance Algebra, Precalculus, and Advanced Placement Calculus).

Unless otherwise noted, all Mathematic courses are year long courses and earn one credit.

Scope and Sequence of Mathematics

Courses Offered

Grade 9

Grade10

Grade 11

Grade 12

Algebra 1

X

X

X

 

Algebra 1 Support

X

X

X

 

Algebra 2

 

X

X

X

Honors Algebra 1

X

X

 

 

Geometry

X

X

X

X

Honors Geometry

X

X

X

 

Pre-Calculus     X X

Advanced Placement Calculus (AB)

 

 

 

X


Course Descriptions

algebra 1

Prerequisite:  None
Credits:  1

Grades:  9 - 11
Length:  1 Year

This course is the first course in the high school Mathematics sequence.  Students should possess basic arithmetic skills, problem solving ability, and be familiar with the symbols of Mathematics.  Topics include:  the real number system, operations with polynomials, solving linear equations and inequalities in one and two variables, systems of equations and inequalities, factoring, rational expressions, graphing solution sets of equations and inequalities, properties of exponents, quadratic functions, and technology based problem solving.  Students, who are unsuccessful in the first semester of Algebra will be enrolled in the Algebra 1 (2-year option) course sequence to promote success in Algebra 1.

ALGEBRA 1 SUPPORT

This course is designed as a support course for Algebra I.  The course includes:  a review of properties; variables in algebraic expressions, writing, simplifying, evaluating; solving linear equations and inequalities; number line and coordinate graphing; exponents, properties of exponents and evaluating exponential expressions; factoring numbers and polynomials; absolute value; and set notation.

algebra 2

Prerequisite:  Algebra & Geometry
Credits:  1

Grades:  10 - 12
Length:  1 Year

This course is designed to further the study of topics covered in Algebra 1, as well as provide an introduction to some of the topics covered in Advanced Algebra.  However, the Advanced Algebra topics will be treated in a less rigorous manner.  (algebra 2 does not prepare the student for pre-calculus.)

honors algebra 1

Prerequisite:  8th grade teacher recommendation & Test scores
Credits:  1

Grades:  9 - 10
Length:  1 Year

This course is designed to cover a greater range of topics than in Algebra 1 and concepts are examined in greater detail.  Problem solving techniques and abilities are emphasized, as well as the relationship between Algebraic concepts and more advanced mathematical concepts.  Topics include those covered in Algebra 1, as well as:  polynomial functions, exponential and logarithmic functions, and sequences and series.

geometry

Prerequisite:  Algebra 1
Credits:  1

Grades:  9 - 12
Length:  1 Year

This course examines the concepts of two and three-dimensional Euclidean geometry.  Topics include:  definitions and postulates, congruence, similarity, perpendicularity, parallelism, space geometry, polygons, right triangles, circles, area and volume, coordinate geometry, and the writing of deductive proofs.

honors geometry

Prerequisite:  Algebra 1 or Teacher recommendation
Credits:  1
Grades:  9 - 11
Length:  1 Year

This course examines the concepts of two and three-dimensional Euclidean geometry.  Topics and concepts are examined in greater detail and depth than in Geometry.  Topics covered include: definitions and postulates, congruence, similarity, perpendicularity, parallelism, space geometry, polygons, right triangles, circles, area and volume, coordinate geometry, and the writing of deductive proofs.

pre-calculus

Prerequisite:  Advanced Algebra                                  Credits:  1
Grades:  11 - 12                                                       Length:  1 Year
This course examines the techniques and concepts of pre-calculus mathematics.  Topics covered include:  trigonometric and circular functions, inverse functions, statistics, three dimensional vectors, matrices, conic sections and analytic geometry, polar coordinates and parametric equations, complex numbers, infinite series and limits, and derivatives of polynomial functions.

advanced placement calculus (ab)

Prerequisite:  Pre-Calculus (a grade of C or higher recommended)
Credits:  1

Grades:  12
Length:  1 Year

This course is equivalent to a first semester college level Calculus course.  The College Entrance Examination Board prescribes the topics.  The primary emphasis is on developing the student’s understanding of the concepts of Calculus and providing experience in its methods and applications.  The course is organized under four broad topics:  Functions, Graphs and Limits, Derivatives, and Integrals.  It is expected (although not required) that students take the Advanced Placement Examination, which is given in May.  In addition to meeting the prerequisite for this course, the student must understand that the nature of this course requires a level of effort and dedication necessary for a college level Mathematics course.