# Mathematics

After consultation with their guidance counselor and mathematics teacher, students and their parents should have a better understanding of the courses and program which are most appropriate for their situation.  Placement within a specific level of mathematics course or into an advanced subject is based to a great extent upon the recommendation of the previous year's mathematics teacher and the student's performance in previous courses.

In selecting the proper mathematics courses, students should consider their career goals and how much emphasis they should place on mathematics.  The following information and suggestions should be used by students and their parents as a helpful guide in determining the appropriate courses and program.

The mathematics program is designed for all students who are planning to further their education beyond high school, either through the work force or post-secondary education.  Based upon the highest level of mathematics completed in middle school, students should follow one of the following recommended sequences:

SAMPLE MATHEMATICS PATHS

 Grade 9 Grade 10 Grade 11 Grade 12 Algebra I Geometry Algebra II Pre-Calculus College AlgebraElective Geometry Geometry A Algebra II Algebra IIA Pre-CalculusPre-Calculus A AP CalculusBC CalculusCollege Algebra  Elective Algebra II Algebra IIA Pre-Calculus Pre-Calculus A AP Calculus BC Calculus College Algebra  Elective
ALGEBRA I
800808
1 Credit       1.0 Weight
NCAA

This course helps students understand the structures and techniques of algebra and expects them to become proficient in applying algebraic concepts and skills.  Students build their knowledge of number systems and properties of operations that justify simple algebraic skills.  Topics include the real number system, solving linear equations and inequalities, polynomial operations, and the rectangular coordinate system. operations with polynomials, factoring of polynomials, operations with rational expressions, operations with quadratic equations, and solving and graphing systems of equations and inequalities.

ALGEBRA II
800809
1 Credit      1.0 Weight
NCAA
Prerequisite(s): Satisfactory Completion of Geometry or concurrent enrollment in Geometry with Teacher Recommendation

This course furthers students’ knowledge of algebraic concepts and increase skills in algebraic computations. The first part of the course is designed to review skills and concepts learned in Algebra, as well as to introduce some advanced problems connected with these techniques. Topics covered include relations and functions, irrational numbers, quadratic equations, quadratic systems, complex numbers, and polynomial functions. Matrices and determinants, exponential functions, and logarithms may also be introduced.

ALGEBRA II - LEVEL 2
800810
1 Credit      1.0 Weight
NCAA
Prerequisite(s):  Satisfactory Completion of Geometry or concurrent enrollment in Geometry with Teacher Recommendation

This course furthers students’ knowledge of algebraic concepts and increase skills in algebraic computations.  The first part of the course is designed to review skills and concepts learned, or not learned in Algebra I as well as introduce some advanced problems connected with these techniques.  Topics covered include relations and functions, irrational numbers, quadratic equations, quadratic systems, complex numbers, and polynomial functions.

800816
1 Credit      1.03 Weight
NCAA
Prerequisite(s): Satisfactory Completion of Geometry or concurrent enrollment in Geometry with Teacher Recommendation

This course furthers students’ knowledge of algebraic concepts and increases skills in algebraic computations. The first part of the course is designed to review skills and concepts learned in Algebra, as well as to introduce some advanced problems connected with these techniques. Topics covered include relations and functions, irrational numbers, quadratic equations, quadratic systems, complex numbers, and polynomial functions. Concepts and skills in Trigonometry may be part of this course. Matrices and determinants, exponential functions, and logarithms may also be introduced. It is strongly suggested that only students with an “A” average in the previous algebra courses elect this course.

800830
1.5 Credits      1.06 Weight
NCAA       AP
Prerequisite(s): Satisfactory Completion of Pre-calculus and Teacher Recommendation

This is a calculus course equivalent to one full year of college work. This course requires considerable effort and rigor on the students’ part. Topics covered include, but are not limited to, derivatives, limits, integrals, polar, parametric, and vector functions, infinite series, and differential equations. This course is designed for students who intend to take the BC level of the Advanced Placement Exam in calculus. A graphing calculator is required for this course. The TI-89 Titanium is recommended.

CALCULUS
800837
1 Credit      1.03 Weight
NCAA
Prerequisite(s): Satisfactory Completion of Pre-calculus

Calculus is an advanced mathematics course for students who wish to pursue a career in a field directly related to mathematics or the physical sciences. It provides the equivalent of at least one semester of college work in calculus. Topics covered include algebra of functions, limits, derivatives, and integrals. A graphing calculator is required for this course. The TI-89 Titanium is recommended.

800887
1 Credit      1.01 Weight
NCAA

Prerequisite(s): Satisfactory Completion of Algebra II and Geometry

This course develops two areas of study: College Algebra and Trigonometry. College Algebra continues the concepts of functions developed in Algebra II. The study of Trigonometry includes the six basic functions, identities, and applications. This course does not meet the prerequisite for Calculus or Calculus Advanced Placement. This course may not be taken concurrently with or after successful completion of Pre-calculus.

COLLEGE ALGEBRA
800803
1 Credit      1.06 Weight
NCAA      Dual Enrollment
Prerequisite(s):  Satisfactory Completion of Algebra II and students must enroll at Harrisburg Area Community College (HACC) and pay tution and required fees as well as purchase the textbook.

This course is designed as a college in the high school course with HACC for college credit.  This course covers the fundamental algebraic operations, exponents and radicals, systems of equations, higher degree equations, logarithms, matrices, and inequalities.  This course satisfies 1.0 math credits in the West Shore School District, and three (3) transferable (HACC) credits.

800862
1 Credit      1.0 Weight
NCAA

Prerequisite(s): Satisfactory Completion of Algebra I

This course explores the basic structure of geometry and develops an understanding and appreciation of deductive logic in mathematics.  The course is designed to strengthen algebraic skills, develop powers of spatial visualization, and assist students to grow in the understanding of the deductive method and the need for precision of language. Students who satisfactorily complete Geometry in middle school will be granted high school credit.

GEOMETRY A
800863
1 Credit      1.03 Weight
NCAA
Prerequisite(s): Satisfactory Completion of Algebra I and Teacher Recommendation

This course explores the basic structure of geometry and develops an understanding and appreciation of deductive logic in mathematics. The course is designed to strengthen algebraic skills, develop powers of spatial visualization, and assist students to grow in the understanding of the deductive method and the need for precision of language. The scope of this course goes beyond material covered in the regular course. It is strongly suggested that only students with an “A” average select this course.

GEOMETRY LEVEL 2
800861
1 Credit      1.0 Weight
NCAA

Prerequisite(s):  Satisfactory Completion of Algebra I or concurrent enrollment in Algebra I with Teacher Recommendation

This course explores the basic structure of geometry and develops an understanding and appreciation of deductive logic in mathematics.  The course is designed to confirm or strengthen algebraic skills, develop powers of spatial visualization, and assist students to grow in understanding of the deductive method and the need for precision of language.

PROBABILITY AND STATISTICS
800873
1 Credit      1.01 Weight
NCAA
Prerequisite(s): Satisfactory Completion of Algebra II and Geometry

This course introduces students to the language and methods of probability and statistics. It provides the basic statistical ideas needed in such areas as sociology, business, ecology, economics, education, medicine, psychology, and mathematics. Probability and Statistics develops a basic understanding of those areas using the mathematical tools of high school algebra.

PRE-CALCULUS
800892
1 Credit      1.01 Weight
NCAA
Prerequisite(s): Satisfactory Completion of Algebra II or Algebra IIA

The topics in this course include linear relations and functions, the theory of equations, matrices and determinants, vectors, polar coordinates, polar graphing, complex numbers, exponential and logarithmic functions, and curve sketching. Other topics that may be covered are sequences and series, transformational geometry, conic sections, trigonometric functions and applications, and parametric equations. This course prepares the student for taking Calculus. Graphing Calculators will be used extensively in this course. We recommend the TI-89 (especially if the student plans to take calculus), but the TI-83 or TI-84 are acceptable for this course. A limited number of school-owned calculators are available.

PRE-CALCULUS A
800893
1 Credit      1.03 Weight
NCAA
Prerequisite(s): Satisfactory Completion of Algebra II or Algebra IIA

The topics in this course include linear relations and functions, the theory of equations, matrices and determinants, vectors, polar coordinates, polar graphing, complex numbers, exponential and logarithmic functions, and curve sketching. Other topics that may be covered are sequences and series, transformational geometry, conic sections, trigonometric functions and applications, and parametric equations. This course prepares the student for taking Calculus. Graphing Calculators will be used extensively in this course. We recommend the TI-89 (especially if the student plans to take calculus), but the TI-83 or TI-84 are acceptable for this course. A limited number of school-owned calculators are available. It is strongly suggested that only students with an “A” average in the previous Algebra course elect this course.

800820
1 Credit      1.06 Weight
NCAA      AP

Prerequisite(s):  Satisfactory Completion of Algebra II (preferred Algebra IIA)

Statistics Advanced Placement is a full year, one (1) credit course designed to follow the AP statistics curriculum as outlined by the College Board.  The course will provide an introduction to statistical methods and data analyses that are common to a first level collegiate course.  Topics in both descriptive and inferential statistics will be addressed

DAVINCI PROGRAM (MATH)
800500
.5 Credit      1.0 Weight
800501
1 Credit      1.0 Weight

Prerequisite(s): Satisfactory completion of Geometry and Algebra II

This course offers students the opportunity to develop personalized projects that align with PA Core Standards in Science, Technology, and Engineering (STEM).  Students will participate in problem-based and project-based learning activities that develop the skills of problem-solving, creativity, critical thinking, judgement, and service orientation as they are guided to produce original ideas, objects, and structures.  The course provides an interdisciplinary approach to integrating STEM into practice while offering field and/or real-life experience to students.  The course is offered to students from both high schools but is taught at Red Land.  A minimal lab fee of \$20 is required for this course.