# Mathematics

- Three (3) Mathematics credits are required for graduation
- However starting with the Class of 2012, Ky. state law requires a math course to be taken each year.
- Freshman Placement is determined from the High School Placement Test (HSPT), grade school recommendations and other standardized testing in grade school
- During the Spring Registration period for the following school year, the student's current math instructor will make a recommendation for math classes the student is eligible to choose from.
- Students may not take Honors or AP courses without successful completion of the prerequisite classes
__and__ instructor recommendation.

## Pre-Algebra

Pre-Algebra is a course designed to help students make the transition from computational arithmetic to algebraic operations. Operations with numbers, including integers, decimals, and fractions, will be reinforced as well as operations involving variables. Students will be introduced to solving algebraic equations as well as solving multi-step word problems by using mathematical models.

*Course # 51217 1 credit*

## Algebra I CPII

Algebra I is a detailed study of algebra, and is designed for the mastery of algebraic skills in preparation for higher learning. Topics include the use of variable properties of rational, irrational and real numbers; solving equations; factoring, and graphics. Other topics include finding equations of lines given different initial conditions; the use of linear and quadratic equations and functions and solving linear inequalities. Topics will be covered in less depth and word problems will be emphasized less than in Algebra I CPI.

*Course # 51337 1 credit* * Prerequisite*: Recommendation of Pre-Algebra instructor

## Algebra I CPI

Algebra I is a detailed study of algebra, and is designed for the mastery of algebraic skills in preparation for higher learning. Topics include the use of variable properties of rational, irrational and real numbers, solving equations, factoring, and graphics. Other topics include finding equations of lines given different initial conditions, the use of linear and quadratic equations and functions and solving linear inequalities.

*Course # 51327 1 credit* *Prerequisite*: 9^{th} Grade: HSPT score; 10^{th} Grade: Recomendation of Pre-Algebra instructor

## Algebra I Honors

This course is designed to provide the student with the understanding of the structure and logical patterns in mathematics. Topics include evaluating algebraic expressions, solving simple equations, problem solving techniques, operations with polynomials, graphing linear and quadratic equations, inequalities, rational and irrational numbers, radical expressions, and algebraic proofs. Some exposure is also given to basic tenants in Geometry as they lend themselves to algebraic equations. This class differs from Algebra I CPI in that the pace is faster and the material is examined in much greater depth.

*Course # 51437 1 credit*

## Algebra II CPII

This is a course designed for those students who have successfully completed a first course in algebra. Topics include methods for solving inequalities and linear, rational, and quadratic equations. Systems of equations and inequalities will also be studied. There is heavy emphasis on operations involving polynomials, radicals, exponents, and the use of correct algebraic techniques for simplifying rational expressions and complex fractions. Students will learn the relationship between slope and graphs of lines, as well as methods for finding equations of lines given different initial conditions. Techniques in problem solving are especially emphasized. Students become familiar with functions and the graphing and identifying of conic sections. The student will also be introduced to fundamental counting principles and determining the probability of events. Topics will be covered in less depth and word problems will be emphasized less than in Algebra II CPI.

*Course # 52237 1 credit* *Prerequisite*: 10^{th} & 11th Grade: Algebra I ; 12^{th} Grade: Geometry

## Algebra II CPI

This is a course designed for those students who have successfully completed Algebra I. Topics include methods for solving inequalities and linear, rational, and quadratic equations. Systems of equations and inequalities will also be studied. There is heavy emphasis on operations involving polynomials, radicals, exponents, and the use of correct algebraic techniques for simplifying rational expressions and complex fractions. Students will learn the relationship between slope and graphs of lines, as well as methods for finding equations of lines given different initial conditions. Techniques in problem solving are especially emphasized. Students become familiar with functions and the graphing and identifying of conic sections. The student will also be introduced to fundamental counting principles and determining the probability of events. * *

*Course # 52227 1 credit* *Prerequisite: * 10^{th} & 11th Grade: Algebra I ; 12^{th} Grade: Geometry

## Algebra II Honors

This course is for those students who want to further their education in the area of mathematics. This course is designed to prepare the student for future courses in honors Pre-Calculus and AP Calculus. Students that plan to continue their education in the areas of math, science or engineering are strongly encouraged to take this course if they are qualified.

*Course # 52337 1 credit* *Prerequisite:* 9th Grade: Based on Algebra II Honors Placement Test __or__** **successful completion of 8th grade Algebra I Honors course and recommendation; 10th grade: Algebra I Honors

## Applied Geometry

This course is designed to help students better understand the nature of mathematical systems, to develop powers of spatial visualization, to improve deductive and inductive reasoning skills, and to appreciate the need for clarity and precision of language. Topics include lines, angles, triangles, circles, polygons, area and volume measurement, including the use of trigonometry, inductive and deductive reasoning, and proofs.

*Course # 53217 1 credit* *Prerequisite:* Algebra I

## Geometry CPII

This course is designed to help students better understand the nature of mathematical systems, to develop powers of spatial visualization, to improve deductive and inductive reasoning skills, and to work with formulas and properties related to various geometrical shapes. Knowledge of basic algebra skills will be required and reinforced. An emphasis will be placed on solving problems related to points, lines, polygons, and circles.* *

*Course # 53337 1 credit* *Prerequisite: * Algebra II

## Geometry CPI

This course is designed to help students better understand the nature of mathematical systems, to develop powers of spatial visualization, to improve deductive and inductive reasoning skills, and to appreciate the need for clarity and precision of language. Throughout the duration of the course, students will be required to write logical proofs that show both conceptual knowledge and logical reasoning skills.

*Course # 53327 1 credit* *Prerequisite:* Algebra II __or__ Algebra I Honors and recommendation of current math instructor with concurrent enrollment in Algebra II Honors

## Probability and Statistics

This elective course is intended to provide a fundamental background in statistical topics for any student who will be engaged in any of the following: math, natural sciences, education, social studies, psychology, or business. Topics include: probability, basis statistics, distributions, sampling, estimation, applications and projects. A statistical calculator is required.

*Course # 54447 1/2 credit* *Prerequisite*: Student must have taken or be concurrently enrolled in Algebra II

## Pre-Calculus CPII

This is a course for those students who have completed Algebra II but did not display an adequate understanding of the concepts to qualify for Pre-Calculus CPI. The course will include a review of slopes and equations of lines, exponents and radicals, operations with rational expressions, and methods for solving all types of quadratic equations. The course will include an introduction to trigonometry and some simple counting principles related to probability.

*Course # 54227/54237 1 credit* *Prerequisite:* Algebra II and Geometry

## Pre-Calculus CPI

Pre-Calculus is designed for the mastery of skills necessary for success in calculus. Topics include reviews of coordinate geometry, solving and graphing polynomial equations as well as polynomial inequalities and functions. Other topics include the study of logarithms, functions and their inverses, as well as a heavy emphasis on the study of trigonometric functions and their applications, polar coordinates, conic sections, and sequences and series.* *

*Course # 54127/54137 1 credit* * Prerequisite:* Algebra II and Geometry

## Pre-Calculus Honors

This course is designed to prepare students for a course in calculus or other advanced level math and science courses. This course differs from the CPI course in pace and depth in regards to the study of the material.

*Course # 54217 1 credi*t *Prerequisite: * Algebra II Honors and Geometry

## Calculus: Advanced Placement

This is a college level course covering differentiation and integration of trigonometric, exponential, logarithmic, and algebraic functions. There is a large emphasis on graphing the functions listed above using properties of monotonicity and concavity in combination with relative extreme. Problem solving using max-min applications and methods of finding area and volumes of revolution are also emphasized. A graphing calculator is required for this course.

*Course # 54337/54347 1 credit* *Prerequisite: * Pre-Calculus Honors