Mathematics

Mathematics Graduation Requirements: 3.0 Credits
 
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

Algebra II

or
Geometry

Geometry 

or 

Algebra II

Pre-Calculus 

College Algebra

Elective

Geometry 

Algebra II 

Algebra IIA

Pre-Calculus

Pre-Calculus A

Calculus AB AP
 Calculus BC AP
College Algebra 

 Elective


Algebra II A

or 

Geometry A


Pre-Calculus A



Calculus AB AP


Calculus BC AP
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 I, PART 1
800814
1 Credit       1.0 Weight
NCAA *(max. of .5 credit)
Prerequisite(s):  Pre-Algebra and Teacher Recommendation
 
This course is designed to slow down the pace of traditional Algebra I class.  Admittance into the course is by math teacher/guidance department recommendation only.  In this first year, students will understand the structures and techniques of algebra and expect to become proficient in applying algebraic concepts and skills.   Students will build their knowledge of number systems and properties of operations that justify simple algebraic skills.  Topics include, but are not limited to, the real number system, solving linear equations and inequalities, polynomial operations, and the rectangular coordinate system. Upon successful completion of this course, students should enroll in Algebra I, Part 2. 

ALGEBRA I, PART 2
800815
1 Credit       1.0 Weight
Prerequisite(s):  Satisfactory completion of Algebra I, Part 1 and Teacher Recommendation
 
This course is designed to slow down the pace of traditional Algebra I class.  Admittance into the course is by math teacher/guidance department recommendation only.  In this second year, students will understand the structures and techniques of algebra and expect to become proficient in applying algebraic concepts and skills.   Students will build their knowledge of number systems and properties of operations that justify simple algebraic skills.  Topics include, but are not limited to, operations with polynomials, factoring of polynomials, operations with rational expressions, operations with quadratic equations, and solving and graphing systems of equations and inequalities. The Algebra Keystone exam is administered at the end of this course.
 

ALGEBRA II
800809
1 Credit      1.0 Weight
NCAA
Prerequisite(s): Satisfactory Completion of Algebra I

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 Algebra I

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.


ALGEBRA II A
800816
1 Credit      1.03 Weight
NCAA 
Prerequisite(s): Satisfactory Completion of Algebra I 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.


CALCULUS AB ADVANCED PLACEMENT 
800831
1 Credit      1.06 Weight
NCAA       AP
Prerequisite(s): Satisfactory Completion of Pre-calculus or Pre-calculus AP or Calculus and Teacher Recommendation

This is an introductory college-level calculus course.  Students cultivate their understanding of differential and integral calculus through engaging with real-world problems represented graphically, numerically, analytically, verbally and using definitions and theorems to build arguments and justify conclusions as they explore concepts like change, limits and the analysis of functions. A graphing calculator is required for this course. 


CALCULUS BC ADVANCED PLACEMENT 
800832
1 Credit      1.06 Weight
NCAA       AP
Prerequisite(s): Satisfactory Completion of Calculus AB Advanced Placement 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.


COLLEGE ALGEBRA AND TRIGONOMETRY
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 tuition 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.  College in the high school courses are typically scheduled for students to attend in-person only Monday/Wednesday/Thursday. Staff hold open office hours on Tuesday/Friday for student support.


GEOMETRY 
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

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.


STATISTICS IN SPORTS
800874
1 Credit       1.01 Weight
Prerequisite(s):  Satisfactory Completion of Algebra II 

This course will provide students an opportunity to apply statistical methods to real world content. Various uses of statistics within many different sports will be explored.


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. The course is offered to students from both high schools but is taught at Cedar Cliff.

 

PRE-CALCULUS ADVANCED PLACEMENT
800900

1 Credit       1.06 Weight
NCAA   AP
Prerequisite(s):  Satisfactory Completion of Algebra II or Algebra IIA

Pre-calculus Advanced Placement is a full year, one (1) credit course designed to follow the Advanced Placement
Pre-Calculus curriculum as outlined by the College Board.  The topics in this course include 4-key units of study.  The four units are polynomial and rational functions, exponential and logarithmic functions, trigonometry and polar functions, and functions involving parameters, vectors and matrices.  Students will model real world data, explore multiple representations, master symbolic manipulation, and harness a dynamic world by engaging in function building that embodies how things change.  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.  The course is offered to students from both high schools but is taught at Red Land.


STATISTICS ADVANCED PLACEMENT
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 Advanced Placement 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. Graphing Calculators will be used in this course. We recommend the TI-84 or (TI-83) are acceptable for this course. A limited number of school-owned calculators are available. 


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.    

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