MAT 042 – INTRODUCTION TO GEOMETRY SYLLABUS

 

 

 

Instructor: ____________________              Office: __________________________

Phone:        ____________________ E-mail:__________________________

 

Lead Instructor:  Richard Diefenbach          Office: J 1013

Phone: 1-800-481-2242 ext. 3317                  E-mail: richardd@shawnee.cc.il.us

 

 

Course Description:

This course covers the fundamental concepts of geometry intended for students who lack credit in one year of high-school geometry or need a review of the subject matter.  This course is designed to be similar to a one-year course in high school geometry.  Deductive/inductive reasoning and direct/indirect proofs are an integral part of the course as well as concepts of undefined terms, axioms, postulates and theorems.  Other topics include triangles, congruence, similarity, lines, angles, circles, parallelism, perpendicularity, polygons, and construction techniques.

 

Prerequisites:             None

 

Credit Hours: Two (2) Semester Hours.  Two lecture hours per week.

 

Textbook(s) and Class Materials:

Elementary Geometry for College Students, 3rd ed.,  Daniel C. Alexander and Geralyn M. Koeberlein, Houghton Mifflin Co.,  Boston, MA.,  2003.

 

Course Objectives:

During this course the student should develop manipulative skills and a conceptual framework for working with:

 

Instructional Modes:

1.         Lecture/demonstration (discussion methods will be used extensively

2.         Homework will be emphasized

3.         Students will be encouraged to verbalize their thoughts, views, concerns, etc., and considerable student/teacher interaction will be encouraged

4.         Supplementary materials, tutoring, lab work, etc., will be utilized whenever and wherever appropriate

 

Student Expectations:

            1.         Attend class regularly and be on time.

            2.          Read and prepare assignments prior to class. 

            3.         Turn in assignments on time.

                        4.         Be prepared for exams over assigned material.  Take tests at regularly scheduled times unless extenuating circumstances interfere.  Quizzes may be announced or unannounced.         

 

Student Evaluation:

1.         A comprehensive final exam will be given at the end of the semester.

            (200 pts.)

2.         Announced one-hour exams, covering the material in the chapters, will

            be given throughout the semester.  (100 pts.)

3.         Announced or unannounced homework assignments and quizzes may be given as a  means of insuring out of class work.  Instructor may also use computer work, notebooks or projects as he/she sees fit.

4.         *** Specifics on the grading procedure  and/or a  tentative course schedule developed by the instructor may accompany this syllabus.

 

Attendance Policy:

Each student is expected to attend all class meetings.  The student is expected to be on time and ready to begin class with the proper materials at the beginning of each class period.

 

Topical Outline:

            Introduction

                        logical systems and postulates

                        segments, rays, angles, triangles

                        measure and line relationships

                        elementary constructions

            Proofs and Congruent Triangles

                        hypothesis and conclusion

                        preparing proofs

                        congruent and isosceles triangles

                        altitudes and medians

            Polygons and Parallels

                        parallel postulates

                        indirect proofs

                        transversals and angle measures

                        polygons and parallelograms

                        similar and regular polygons

                        ratio and proportion

            Right Triangles

                        review of radicals and quadratic equations

                        right triangle congruence theorems

                        properties of right triangles and Pythagorean Theorem

            Circles

                        tangents

                        chords and secants

                        arc-angle relationships

                        regions, sectors and segments

            Areas and Volumes

                        postulates and perimeter

                        lines, planes, surfaces and volumes

                        polygons and formulas

                        polyhedrons and formulas

 

 

Note:   The above schedule and procedures in this course are subject to change in the event of extenuating circumstances.

 

H. Instructor's Page: