Mathematics

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:

1.
Algebra I 
Geometry
Algebra II
Pre-Calculus
Math Elective 

2.       
Geometry or Geometry A
Algebra II or IIA
Pre-Calculus or A
AP Calculus BC
Calculus
Math Elective 
3.
Algebra II or IIA
Pre-Calculus or A
AP Calculus BC
Math Elective  



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.


Grades 9-12  
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
Grades 9-12
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 IIA
Grades 9-12 
Prerequisite(s): Satisfactory Completion of Geometry or Geometry A or concurrent enrollment in Geometry or Geometry A 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.


ALGEBRA II ESSENTIALS

This course strengthens the skills of Algebra and explores the key concepts of Algebra 2. The course is designed to strengthen algebraic skills, develop more complex equation solving skills to include quadratics, and provide students with a basic understanding of Algebra 2 concepts. The scope of this course less expansive than the material covered in the Algebra 2 course.


CALCULUS BC ADVANCED PLACEMENT 
Grades 11-12
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
Grades 11-12
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.

Grades 10-12   
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.

Grades 9-12
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.

Grades 9-12  
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 ESSENTIALS

This course explores the basic structure of geometry. The course is designed to strengthen algebraic skills, develop powers of spatial visualization, and the need for precision of language.


PROBABILITY AND STATISTICS
Grades 11-12  
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.

Grades 11-12

AP Statistics is an advanced mathematics course for students who wish to pursue a career in a wide variety of fields including business, law, engineering, psychology, sociology, biology, and health-related professions.

The mathematics prerequisite for AP Statistics is Algebra II. Enrolled students are accepting the challenge of a rigorous academic curriculum commensurate with all Advanced Placement courses. For AP Statistics this requires mathematical maturity and quantitative reasoning.


PRE-CALCULUS

Grades 10-12    
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
Grades 10-12 
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.


ALGEBRA I KEYSTONE WORKSHOP I
Grade 9-12 

This course is designed to provide remediation to any student who does not score at the proficient level or above on the Keystone Exam administered upon completion of the Algebra I course. Non-proficient students must participate in remediation and retesting until proficiency is achieved. Passing the Keystone Exam is a graduation requirement for all students in the class of 2017 and below. 


ALGEBRA I KEYSTONE WORKSHOP II
Grade 10-12

This course is designed to provide further focused instruction on areas in need of growth for those students not scoring proficient or above after retesting on the Algebra Keystone Exam. The course will prepare students to retake the Keystone and/or successfully complete the project-based assessment. With two unsuccessful Keystone Exam attempts, a student will be eligible to demonstrate proficiency through the completion of a project-based assessment (PBA). Proficiency on this project-based alternative will satisfy the Keystone graduation requirement for all students in the class of 2017 and below. Successful completion of the course does not mean successful completion of the PBA. 

 

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