# Mathematics

- 4 credits in mathematics are required for graduation.

**Algebra 1 **

(9) (1 credit) This course introduces the student to the basic structure of algebra. The real number system, basic order of operations, solutions to linear and quadratic equations and manipulations of polynomials are stressed. Students are also introduced to the language of algebra and how to utilize it to solve problems by writing and solving equations and inequalities.

**Honors Algebra 1 **

(9) (1 credit) This course introduces the student to the basic structure of algebra and includes a more in – depth study than Algebra 1 offers of t he real number system, basic order of operations, solutions to linear and quadratic equations and manipulations of polynomials. Students are also introduced to the language of algebra and how to utilize it to solve problems by writing and solving equations and inequalities.

**Geometry **

(9, 10) (1 credit)

Prerequisite: Algebra 1

This course introduces the broad fundamentals of plane and solid geometry emphasizing mastery of basic geometric principles. Theorems, postulates, definitions and the application of these principles through sequential, logical thinking are used to enable the student to solve geometric problems.

**Honors Geometry **

(9, 10) (1 credit)

Prerequisite: Algebra 1 and teacher recommendation

This course introduces the broad fundamentals of plane and solid geometry emphasizing mastery of basic geometric principles. Theorems, postulates, definitions and the application of these principles through sequential, logical thinking are used to enable the students to solve geometric problems. This course treats topics in greater depth than the regular course.

**Algebra 2 **

(10, 11) (1 credit)

Prerequisite: Algebra 1 and Geometry

This course is a continuation of the concepts learned in Algebra 1. Students learn a variety of techniques to work with linear equations and inequalities, factoring, simplifying polynomial expressions, simplifying radical expressions, simplifying expressions with complex numbers, solving problems using exponential and logarithmic functions, conics, and an introduction to the basic fundamentals of trigonometry.

**Honors Algebra 2/Trigonometry **

(10, 11) (1 credit)

Prerequisite: Algebra 1, Geometry and teacher recommendation

Honors Algebra 2 develops the algebraic concepts of Honors Algebra 1 in greater depth. The course includes such topics as solving linear equations, inequalities, factoring, simplifying polynomial expressions and simplifying radical expressions. Additionally they learn about simplifying expressions with complex numbers, solving problems using exponential and logarithmic functions, coordinate graphing, conics, and the basic fundamentals of trigonometry such as the definitions of the trigonometric functions.

**Accelerated Honors Geometry/Honors Algebra 2**

(10) (1 credit)

Prerequisite: Honors Algebra 1 (85% minimum grade average), Mathematics departmental recommendation, and an “Honors” attitude.

This intensive accelerated course, intended for the highly motivated student, will build upon the pre-requisite Honors Algebra 1 and complete the curriculums of both Honors Geometry, and Honors Algebra 2 in one academic year. This course is designed for the student that was placed into Honors Algebra 1, but would like to take AP Calculus AB as a senior. This course is worth one (1) year of Mathematics credit.

**Note**: Students unable to maintain an 80% course average may be dropped from the course and placed into Honors Geometry. A student who is dropped into Honors Geometry (or does not earn a passing grade for the fall semester) will be placed into Honors Geometry for the spring semester. A student who is dropped into Honors Geometry during the Spring Semester (or does not earn a passing grade for the spring semester) will, the following academic year, be placed into Algebra 2, or Honors Algebra 2, as determined by the math department. Upon completion of this course students typically will be placed into Honors Pre-Calculus, but may be placed into College Algebra if deemed appropriate by the math department.

**College Math **

(12) (1 credit)

Prerequisite: Algebra 1, Geometry, Algebra 2 and teacher recommendation

Algebraic concepts are strengthened and extended. Trigonometric and logarithmic functions are introduced and explored. A function approach to mathematical modeling is employed throughout the course. Additional topics may include Combinations, Permutations, Probability, and Conic Sections.

**Finite Math**

(12) (1 credit)

Prerequisite: Algebra I, Geometry, and Algebra II

This optional senior math course will survey a variety of topics including Set Theory, Logic, Non base ten numbering systems, elementary statistical methods, personal finance applications, Combinations/Permutations, Probability, and an extension of Algebraic systems involving Linear, Quadratic, Exponential, and Logarithmic systems.

**College Algebra **

(11, 12) (1credit)

Prerequisite: Algebra 1 , Geometry, Algebra 2

*Dual enrollment available for 3 college credits through Seton Hill University*

This course prepares students for the mathematics that most college freshmen will encounter through the study of polynomial and rational functions, exponential, logarithmic, circular functions and the conics. Triangle trigonometry, trigonometry of real numbers, trigonometric formulas and equations are also covered. The graphing calculator is utilized to obtain algebraic and trigonometric solutions.

**Honors Pre-Calculus**

(11, 12) (1 credit)

Prerequisite : Algebra 1, Geometry, Algebra 2 and teacher recommendation

*Dual enrollment available for 4 college credits through Seton Hill University*

This course investigates and applies general function properties from both a numerical and graphical perspective. In addition to polynomial, rational, exponential and logarithmic functions, regression analysis, conics, polar representations, and vectors are studied. Trigonometric functions are extended to include right triangle trigonometry, radian and degree measure, trigonometric formulas, identities and equations. An introduction to calculus is covered which includes the evaluation of finite and infinite limits, derivatives and the area under a curve utilizing Riemannian sums.

**Advanced Placement Calculus AB **

(11, 12) (1 credit)

Prerequisite: Algebra 1, geometry, Algebra 2, precalculus and teacher recommendation

This course is the equivalent of a first semester college calculus course. Reviews of trigonometric, logarithmic and exponential functions, the real number system, graphing and analytic geometry are integrated into the course. This course provides an introduction to limits, continuity, differentiation and integration. Applications of derivatives and integrals are utilized in solving science and business word problems. Students are expected to take the AP exam administered in May.

**Advanced Placement Calculus BC **

(11, 12) (1 credit)

Prerequisite: Algebra 1, geometry, Algebra 2, precalculus, AP calculus AB and teacher recommendation

This course is the equivalent of a second semester college calculus course. Topics covered in AP calculus AB are expanded to include derivation and integration methods involving parametric, polar, and vector functions. Euler’s method, L’Hospitals Rule, and convergence/divergence of improper integrals and series are included. Additional integration techniques explored included trigonometric substitution, integration by parts, and simple partial fractions. Polynomial approximation s and series topics include the ratio test for convergence, Taylor and Maclaurin series. Students are expected to take the AP exam administered in May.