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High School: Course Descriptions: Math


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Math Department

by Aaron Dickey

November 07, 2007

 

Instructors: Mr. Tom Budler
Mr. Shannon Gocke
Ms. Angie Kroger
Mr. Matt Stuhr

COURSE DESCRIPTIONS


ALGEBRA/3015-3020 ..........................................3015A,3015B
                                                   2 YEARS            3020A,3020B   

PREREQUISITE(S): .................................................Recommendation of                                                                                 Previous Instructor

COURSE DESCRIPTION:

This is a two-year sequential course designed to extend the student's mathematical knowledge from arithmetic to formal mathematics. Skills in algebra are developed and supported by extensive practice, problem solving, and applications of algebra to the real world. The Algebra 3015 and Algebra 3020 sequence is recommended for students who may need more time to fully comprehend the topics covered in traditional Algebra.


ALGEBRA.........................................................................................3010A
                                           1 Year                                                   3010B

PREREQUISITE(S):...........................................................Pre-Algebra or its                                                                                            equivalent

COURSE DESCRIPTION:

This is a one year course designed to begin the extension of the student's mathematical knowledge from arithmetic to formal mathematics. Algebra is the study of the set of real numbers and the operations performed on the member of the set. Skills in algebra are developed and supported by extensive practice, problem solving, and applications of algebra in the real world.


GEOMETRY CONCEPTS & APPLICATIONS.....................................3100A
                                                                           1 Year                    3100B

PREREQUISITE(S):......................................................Algebra 3015/3020

COURSE DESCRIPTION:

Geometry Concepts and Applications we designed to follow in the Algebra 3015/3020 sequence. The course was created to help students discover, learn, and apply geometry without focusing on the study of formal proofs. Students will be challenged to make connections from concrete examples to abstract concepts while comprehending the practical value of geometry. The pace of the course is determined by the the student's abilities. Successful completion of this course would lead students to the traditional Geometry 3200 course.


GEOMETRY......................................................................................3200A
                                                        1 Year                                       3200B

PREREQUISITE(S):.............................................Successful completion of
                                                                         Algebra 3010A and 3010B

COURSE DESCRIPTION:

Geometry is the mathematical system where the first semester is concerned with formal proof which involves logical deductive reasoning skills. Proofs involve reasoning from information the is given to the desired conclusion in a series of steps where an acceptable reason is given for each step. Reasons are definitions, postulates, and theorems that the student has studied previously. Algebra skills are also used frequently during the 1st semester. The second semester of Geometry moves away from proofs to application problems involving geometrical relationships. Algebra skills are used extensively during the second semester.


ALGEBRA II.....................................................................................3300A
                                                          1 Year                                     3300B

PREREQUISITE(S):.....................Successful completion of Geometry,
                                                   or concurrent enrollment in Geometry with
                                                   approval of the Mathematics department 

COURSE DESCRIPTION:

Advanced Algebra will allow students to develop proficiency with mathematical skills, to expand understanding of mathematical concepts, and to improve logical thinking to problem solving abilities. A progression occurs front he sets of numbers of elementary algebra to a more abstract understanding of the real and complex number systems. Understanding and skills are developed about mathematical inequalities, functions, systems of equations, equations of second degree, sequences and series. As students learn to solve more complicated mathematical sentences, they can solve more realistic applied problems.


TRIGONOMETRY.............................................................................3405
                                                          1 Semester

PREREQUISITE(S):.....................Successful completion of Pre-Calculus

COURSE DESCRIPTION:

Trigonometry is a one-semester course involving the study of sequences, series, complex numbers, logarithms, and functions.  Special emphasis is given to the meaning of functions and their graphs.  This course is a prerequisite to any study of calculus and is recommended for all students pursuing a career in mathematics, science, medicine, or a related field.


DISCRETE MATHEMATICS...............................................................3402
                                              1 Semester

PREREQUISITE(S):................................................Completion of Algebra II

COURSE DESCRIPTION:

This course is designed to meet the needs of students who will pursue additional education in any field which involves the study of statistics or data analysis. the course is strongly recommended for any student who intends to enroll in a course  in Business Calculus. The course may be taken any time after the completion of Advanced Algebra. For students taking Pre-Calculus, Trigonometry, and Calculus at York High School, this course may be taken at any time in the sequence. Topics covered in Discrete Mathematics will include sequences, series, probability, statistics, data analysis, and graph theory.


PRE-CALCULUS.................................................................................3420
                                                  1 Semester

PREREQUISITE(S):..............................Successful completion of Algebra II

COURSE DESCRIPTION:

Pre-Calculus is a one semester course involving the study of sequences, series, complex numbers, logarithms, and functions. Special emphasis is given to the meaning of functions and their graphs. this course is a prerequisite to any study of calculus and is recommended for all students pursuing a career in mathematics, science, and medicine, or a related field.


CALCULUS........................................................................................3410A                                                                                                           3410B

PREREQUISITE(S):........................Successful completion of Trigonometry                                                       and Pre-Calculus

COURSE DESCRIPTION:

This is a two semester course that covers the material normally presented in 1 1/2 semesters of college calculus. Prior knowledge of trigonometric functions are used throughout the course. Students who complete this course normally enroll  in second semester calculus at the college level. Students may receive college credit for this course in two ways: (1) receive a grade of C or better in second semester calculus, (2) take an advanced placement exam and score a 3 or better.


MATH FOUNDATIONS......................................................................0010A                                                                                                          0010B

PREREQUISITE(S):.........................Teacher or Principal Recommendation

COURSE DESCRIPTION:

This course provides students instruction in the basic elements of mathematics and provides a baseline experience for future math classes.


CONSUMER MATH...........................................................................0011A                                                          1 Year                                      0011B

PREREQUISITE(S):........................Teacher or Principal Recommendation 

COURSE DESCRIPTION:

This course provides instruction in mathematical operations necessary for individual adult life skills.


COMPUTER LANGUAGES................................................................3415                                                            1 Semester

PREREQUISITE(S):......................Successful completion of Geometry. It is                                                     recommended that a student have                                                    demonstrated proficient keyboarding skills

COURSE DESCRIPTION:

The purpose of this course is threefold. First, the student will become familiar with computers, computer operating systems, and storage and retrieval of data on various mediums. The second purpose is to give the student a fairly thorough exposure to a modern language (no line numbers) that demands modular structured program development. The language allows the use of both the keyboard and a mouse pointing device. A great number of colleges at this time require at least one semester of a computer skills course. this course very often involves a considerable amount of skill in BASIC. A third purpose is to introduce students to the language medium called HTML or Hyper Text Markup Language. This is the language of the INTERNET. At this time, the INTERNET is the hottest medium in the on-line world of computers. Approximately the last nine weeks will be spent in the introduction to the INTERNET authoring language called HTML. It is hoped that students may actually publish some of their work on the INTERNET as either an individual or class project.

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