CLC
 
 
Mathematics
     
             
           
                         
 

Faculty

     
     
     

Doug Blundy , Department Chair

Jeff Aldridge

Bill Eschman

Jackie Gleixner

Karen Guthrie

Rick Guthrie

Mike Hermann

Lisa Reddish

Tom Kellner

Matt MacCrindle

Aaron Perkins

Brian Seaver

Stephanie Wozny

                     
 

Courses

   
 

The mathematics program has two levels: General and Honors to meet each individual student's abilities and needs. In general, a student will probably stay in the program which he/she begins: however, if situations arise in which the teacher and counselor feel that the student's requirements would be better met in another program, a satisfactory change often can be made.

GENERAL PROGRAM

This program is for students who have had the normal grade school background in mathematics.

PRE-ALGEBRA
Emphasis is given to a thorough understanding of the fundamental arithmetic operations. This understanding is developed through study of the following topics: order of operations, variables & expressions, operations on signed numbers and fractions, solving algebraic equations and inequalities, properties of numbers, the coordinate system and graphing, simple probability, topics in geometry, and other introductory work in Algebra.

Semesters: 2 Prerequisite: Teacher
Credit: l/2 per semester recommendation

ALGEBRA
This is a foundation course for further high school mathematics. An understanding of algebra is developed through study of the following topics: order of operations, variables & expressions, solving one and two variable equations and inequalities, operations with linear equations, performing operations on polynomials – including multiplying binomials and factoring trinomials, simplifying rational expressions and solving rational equations, and solving quadratic equations.
* Graphing calculators are strongly suggested.

Semesters: 2 Prerequisite: Teacher
Credit: l/2 per semester recommendation

BUSINESS MATHEMATICS
Some of the topics included in this course are computing interest, discounting notes and drafts, installment buying and selling, trade and cash discounts, property and income taxes, stock purchases and sales.
* Graphing calculators are strongly suggested.

Semesters: 1 (Spring) Prerequisite: Algebra
Credit: l/2

GEOMETRY
Geometry acquaints the students with the properties of plane figures. It also contains some three space concepts. Algebra is used extensively throughout the course. Geometry teaches the students to think accurately, logically, critically, and to set forth their thoughts in a well-organized, orderly fashion.
* A graphing calculator is required for this course.

Semesters: 2 Prerequisite: Algebra
Credit: l/2 per semester

INTERMEDIATE ALGEBRA
Algebraic topics such as the real number system, equations, inequalities, graphing, functions, exponents, factoring, manipulating expressions, radicals, quadratics, are reviewed and expanded on in this course.
* Graphing calculators are strongly suggested for this course.

Semesters: 2 Prerequisite: Geometry
Credit: 1/2 per semester

ADVANCED ALGEBRA WITH TRIGONOMETRY
Traditional topics of algebra such as exponents, radicals, functions and relations, quadratic equations, graphs and word problems are studied in this course. Traditional topics of trigonometry such as the study of the six trigonometric functions, solutions of right and general triangles, logarithms, radians, graphs, identities and equations are studied in this course.
* A graphing calculator is required for this course.

Semesters: 2 Prerequisite: Geometry
Credit: l/2 per semester

COLLEGE ALGEBRA
This course is designed for students who need additional review of advanced algebraic topics before attending college and/or taking pre-calculus. Algebraic topics such as algebraic expressions, equations, inequalities, relations, functions (polynominal, rational, exponential, and logarithmic), analytic geometry, and sequences and series will be taken to a higher level.
* A graphing calculator is required for this course.

Semesters: 2 Prerequisite: Advanced Algebra
Credit: 1/2 per semester with Trigonometry

PROBABILITY AND STATISTICS
Attention will be given to strengthening algebra techniques needed to consider the following topics: laws of chance, mean, median, mode, percentile, and standard deviation. This course will be good for students interested in taking more mathematics without going into more difficult abstract mathematics. A course similar to this is often required by colleges and universities for programs less math intensive such as business, education, and technical fields.
* A graphing calculator is required for this course.

Semesters: l (Spring) Prerequisite: Advanced Algebra
Credit: l/2 with Trigonometry

PRE-CALCULUS
This course is designed to aid the student in preparing to do college study in the field of mathematics. It includes the traditional material on quadratic theory, systems of equations, etc., plus a thorough development in inequalities, absolute values, and solving data driven problems. Trigonometry will be reviewed and expanded using radians, identities, equations, and graphs and their transformations. This course will also contain traditional material on line, circles, conics, and limits and differentiation. This course is specifically designed for students planning to take calculus.
* A graphing calculator is required for this course.

Semesters: 2 Prerequisite: Advanced Algebra
Credit: l/2 per semester with Trigonometry

CALCULUS
Topics of differential and integral calculus are presented at the college level. Preparation for the advanced placement exam is not included.

Semesters: 2 Prerequisite: Pre-Calculus or with
Credit: 1/2 per semester permission of Department Chair


INTRODUCTION TO COMPUTER SCIENCE
This course meets the Computer requirement for graduation, but not the math requirement.

The students will learn basic elements of program design and apply these concepts to problems in mathematics and related areas. Additionally, students will design algorithms to assist in solving these problems. Students will find this course designed to establish a foundation for further study in computer science and to prepare college-bound students who will need computer knowledge to carry out study and application in a variety of subject areas.
* A graphing calculator is required for this course.

Semesters: l Prerequisite: Algebra
Credit: l/2


* Texas Instrument (TI-83 Plus or TI-84 Plus) graphing calculators are used in class to explore mathematical concepts.

 


HONORS PROGRAM

GEOMETRY (H)
Students study deductive reasoning and proofs, many of which are original exercises. Important topics of traditional geometry are included. Modern topics are notation, logic, and coordinate geometry. Algebra is used as a tool to solve many problems.
* A graphing calculator is required for this course.

Semesters: 2 Prerequisite: Algebra and
Credit: l/2 per semester teacher recommendation


ADVANCED ALGEBRA WITH TRIGONOMETRY (H)
Traditional topics of algebra such as exponents, radicals, functions and relations, quadratic equations, graphs and word problems are studied in this course. Factor theorem, quadratic functions-parabola-minimum and maximum points, determinants for second and third order, and solving systems of first degree equations in two and three variables using determinants are also studied. Traditional topics of trigonometry include the study of the six trigonometric functions, solutions of right triangles, solutions of oblique triangles using laws of Sines, Cosines and Tangents (if time permits), logarithms, radians, graphs, identities and equations. Graphing curves by composition of y-coordinates and inverse functions is also studied.
* A graphing calculator is required for this course.

Semesters: 2 Prerequisite: Geometry (H) or with
Credit: l/2 per semester permission of Department Chair


PRE-CALCULUS (H)
This course is designed to aid the student in preparing for a college study in the field of mathematics. It includes traditional material on quadratic theory, systems of equations, progressions, etc., plus a thorough development of inequalities, absolute values in one and two dimensions, nature of number systems, rectangular and polar forms and complex numbers. Also covered is traditional material on lines, circles, conics, parametric equations, and limits and differentiation. Trigonometry will be reviewed and expanded using radians, identities, equations, and graphs and their transformations. In addition, some work with permutations, combinations, and probability will be covered if time permits. This course is specifically designed for students planning to take advanced placement calculus.
* A graphing calculator is required for this course.

Semesters: 2 Prerequisite: Advanced Algebra
Credit: l/2 per semester with Trigonometry (H) or with
permission of Department Chair

ADVANCED PLACEMENT COMPUTER SCIENCE (H)
This course meets the Computer requirement for graduation.

Computer science encompasses the collection of technical skills and scientific methodologies used in the creation of high quality computer based solutions to real problems. This is more than a programming course. Topics include modular program design, control structures, recursion, data structures, algorithms, searching, sorting, and modeling. A goal of the course is to prepare students for the Advanced Placement computer science exam.
* A graphing calculator is required for this course.

Semesters: 2 Prerequisite: Intro to Computer
Credit: 1/2 per semester Science or teacher recommend.

ADVANCED PLACEMENT CALCULUS AB (H)
Topics of differential and integral calculus are presented at the college level, with special emphasis on understanding and deriving the usual general formulas. Preparation for the Advanced Placement AB examination is included.
* A graphing calculator is required for this course.

Semesters: 2 Prerequisite: Pre-Calculus (H) or
Credit: l/2 per semester permission of Department Chair

ADVANCED PLACEMENT CALCULUS BC (H)
Topics of differential and integral calculus are presented at the college level, with special emphasis on understanding and deriving the usual general formulas. Preparation for the Advanced Placement BC examination is included.
* A graphing calculator is required for this course.

Semesters: 2 Prerequisite: Pre-Calculus (H) or
Credit: l/2 per semester permissioin of Department Chair

ADVANCED PLACEMENT (AP) STATISTICS (H)

The purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students are exposed to four broad conceptual themes:
• Exploring Data: Observing patterns and departures from patterns
• Planning a Study: Deciding what and how to measure
• Anticipating Patterns: Producing models using probability theory and simulation
• Statistical Inference: Confirming models
* A graphing calculator is required for this course.

Semesters: 2 Prerequisite: Pre-Calculus or
teacher recommendation
Credit: 1/2 per semester Level: 11 & 12


* Texas Instrument (TI-83 Plus, or TI-84 Plus) graphing calculators are used in class to explore mathematical concepts.