# West Shore

## School District

# Mathematics

**Mathematics Graduation Requirements: 3.0 Credits**

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

**ALGEBRA I**

**800808**

1 Credit

**1.0 Weight**

*NCAA*

**ALGEBRA I, PART 1**

**800814**

*NCAA**(max. of .5 credit)

**ALGEBRA I, PART 2**

**800815**

**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**

*NCAA*

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*

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*

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

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

800900

1 Credit 1.06 Weight

*NCAA*

*AP*

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)

**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.