Heartland Community College Master Course Syllabus Division: STEM and Business Course Prefix and Number: MATH 098 Course Title: Geometry DATE PREPARED: January 6, 2014 DATE REVIEWED DATE REVISED: January 6, 2014 PCS/CIP/ID NO: 1.4-320104 IAI NO. None EFFECTIVE DATE OF FIRST CLASS: Fall 2014 CREDIT HOURS: 3 LECTURE HOURS: 3 CONTACT HOURS: 3 LABORATORY HOURS: 0 CATALOG DESCRIPTION (Include specific prerequisites): Prerequisite: - Completion of MATH 092 Beginning Algebra, or placement This course fulfills a geometry requirement for students who have not completed high school geometry. The course includes geometric constructions using a straight-edge, protractor, and compass. In addition, it introduces traditional “two-column” proofs; such proofs reinforce higher-order logical skills that are important in many professions. Topics include triangles, polygons, similarity, Pythagoras’ Theorem, and circles. TEXTBOOKS: Alexander, Daniel C., and Geralyn M. Koeberlein. Elementary Geometry for College Students. 5th ed. Belmont, CA: Brooks/Cole Cengage Learning, 2011. Print. Or a comparable text that addresses at a minimum the topics listed in the Course Outline and that provides students with the opportunity to achieve the learning outcomes for this course. RELATIONSHIP TO ACADEMIC DEVELOPMENT PROGRAMS AND TRANSFERABILITY: MATH 091, 092, 093, 094, and 098 are designed to enhance students' academic performance for other college courses for which they are currently underprepared, as indicated by their performance on HCC's math placement exam. Credit earned from successful completion of this course (or other developmental courses) is not calculated into students' HCC GPA, will not apply toward degree or certificate requirements, nor will it transfer to other colleges or universities. However, some institutions calculate admissions GPA using grades from all courses, including developmental courses. COURSE OBJECTIVES (Learning Outcomes): After successfully completing MATH 098, the student will be able to: Course Outcomes Range of Assessment Methods Explain the difference(s) between inductive and deduction reasoning and identify the use of inductive and deductive reasoning in an argument. Use inductive reasoning to form conjectures. Write proofs using deductive (including indirect) reasoning. Apply basic concepts of undefined terms, definitions, postulates, theorems, and angles in the logical development of Geometry. Perform geometric constructions using a ruler, compass, protractor, and/or appropriate technology. Solve problems and applications involving perimeter, area, volume, and geometric figures. Solve applications related to parallel and perpendicular lines, similar figures, and the Pythagorean Theorem. Apply theorems to prove congruency of triangles and/or parts of triangles. Homework, Quiz, Project, and/or Test COURSE OUTLINE: 1. Introduction to Euclidean Geometry 2. Deductive and Inductive Reasoning 3. Definitions, Theorems, and Postulates 4. Parallel and Perpendicular Lines 5. Angle Relationships 6. Triangles and Congruence 7. Right triangles and Pythagorean Theorem 8. Similar Triangles 9. Circles 10. Polygons, and Perimeter, Area, and Volume METHOD OF EVALUATION (Tests/Exams, Grading System): Methods of evaluation may consist of, but are not limited to test(s), quiz(zes), homework, project(s). Grading Scale: 90%-100% 80%-89% 70%-79% 60%-69% Below 60% A B C D F REQUIRED WRITING AND READING: Required reading and writing will be part of allassessments.. Students will be expected to explain how they found the solution, describe the solution graphically, and interpret the answer in the context of the problem. Students are expected to read the material in the textbook for each section studied.