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EUCLIDEAN GEOMETRY
Math 153 - 4 units - Fall, 2010 Monday & Wednesday INSTRUCTOR: Wynn Walker E-MAIL: wlwalker326@gmail.com REQUIRED TEXT: Geometry by Bass, Charles, Johnson, and Kennedy - Prentice Hall COURSE DESCRIPTION: This is a formal course in Geometry covering the basics of lines, planes, angles, triangles and congruence, the Pythagorean Theorem, similarity, and special right triangles. The methods of deductive reasoning will be studied in depth. PREREQUISITE: A grade of C or better in Mat152A and Mat152B, or satisfactory score on an assessment test. Mat152B may be taken concurrently. LEARNING DISABILITIES: Students with disabilities who may need accommodations for this class should inform the instructor and contact the Disability Resource Center (DRC) early in the quarter so that reasonable accommodations may be implemented as soon as possible. Students may contact the DRC by visiting the center (room A205) or by calling 541-2660 ext. 249 (voice) or 542-1870 (TTY for deaf students). All information will remain confidential. GRADING POLICY: Homework -100 points (10 at 10 points each) Exams - 300 points (3 at 100 points each) Exam #1: Sections 1.1 – 1.5, 2.1 - 2.5 Exam #2: Sections 3.1 - 3.4, 3.7, 4.1 - 4.7 Exam #3: Sections 5.2 - 5.5, 6.1-6.2, 7.1-7.3, 8.1 - 8.3, 8.5, 9.1-9.2 Quizzes - 75 points (3 at 25 points each) Final (Comprehensive, covers entire course) - 150 points Your letter grade will be based on your percentage of the 625 possible points. A 90-100% (563 - 625 points) B 80-89% (500 - 562 points) C 70-79% (437- 499 points) D 60-69% (375 - 436 points) F less than 60% (below 374 points) MAKE UP POLICY: For quizzes there is no make-up, however if the absence is excused, you will receive the same percentage grade on the quiz as you earn(ed) on the following exam. For Chapter Exams and the Final, make-up is possible, but there is a 10% penalty if the absence is not excused and must be worked out with the teacher beforehand. Homework will be accepted late for minus two points per class day. STUDENT LEARNING OUTCOMES: 1. Prove geometric statements using classical axioms and theorems. 2. Perform ruler and compass constructions. 3. Make deductions using the rules of logic. 4. Solve problems involving parallel lines, triangles, and
angles. HOW TO SUCCEED IN A MATH CLASS: 1) Come to every class meeting. 2) Arrive early, get yourself settled and be ready when class starts. Sit where you won't be distracted. 3) Read each section before it is discussed in class. 4) Do all of the homework. 5) Do some math every day. 6) Start preparing for tests at least a week in advance. 7) Take advantage of tutors and office hours, extra help can make a big difference. 8) Do some review every time you study math. 9) Do not hesitate to ask questions. 10) Take notes. 11) Study in groups and find a study buddy. TUTORING: Tutoring is available in the OFFICE HOURS: To be determined soon
SCHEDULE Date Section Topic 9/20......... Introductions, Syllabus 1.1 Patterns and Inductive Reasoning 1.2 Points, Lines, and Planes 9/22..........1.3 Segments, Rays, Parallel Lines and Planes 1.4 Measuring Segments and Angles 1.5 Basic Constructions --------------------------------------------------------------------------- 9/27........ 2.1 Conditional Statements 2.2 Biconditionals and Definitions 2.3 Deductive Reasoning 9/29......... 2.4 Reasoning in Algebra 2.5 Proving Angles Congruent Quiz #1 (Sections 1.1 - 1.5) Turn in Homework #1 (1.1 - 1.5) ---------------------------------------------------------------------------- 10/4........... 3.1 Properties of Parallel Lines Review for Exam #1 10/6...........Exam #1 (Sections 1.1 - 1.5, 2.1 - 2.5) Turn in Homework #2 (2.1 - 2.3) --------------------------------------------------------------------------- 10/11........... 3.2 Proving Parallel Lines 3.3 Parallel Lines and the Triangle-Angle-Sum 10/13............ 3.4 Polygon Angle-Sum Theorem 3.7 Constructing Parallel and Perpendicular Lines Turn in Homework #3 (2.4, 2.5, 3.1) ---------------------------------------------------------------------------- 10/18............. 4.1 Congruent Figures 4.2 Triangle Congruence by SSS and SAS 4.3 Triangle Congruence by ASA and AAS 10/20...........4.4 Using Congruent Triangles: CPCTC 4.5 Isosceles and Equilateral Triangles Quiz #2 (Sections 3.1 - 3.4, 3.7) Turn in Homework #4 (3.2, 3.3, 3.4, 3.7) ---------------------------------------------------------------------------- 10/25.......... 4.6 Congruence in Right Triangles 4.7 Using Corresponding Part of Congruent Triangles 5.2 Bisectors in Triangles 10/27............5.3 Concurrent Lines, Medians, and Altitudes Review for Exam #2 Turn in Homework #5 (4.1 - 4.4) ----------------------------------------------------------------------
11/1............Exam #2 (Sections 3.1 - 3.4, 3.7 4.1 - 4.7) 11/3............5.4 Inverses, Contra positives, and Indirect Reasoning 5.5 Inequalities in Triangles Turn in Homework #6 (4.5 - 4.7) -----------------------------------------------------------------------
11/8...........6.1 Classifying Quadrilaterals 6.2 Properties of Parallelograms 7.1 Areas of Parallelograms and Triangles 11/10..........7.2 The Pythagorean Theorem and its Converse 7.3 Special Right Triangles Turn in Homework #7 (5.2 - 5.5) ------------------------------------------------------------------------
11/15...…...8.1 Ratios and Proportions Quiz #3 (Sections 5.2 - 5.5, 6.1-6.2) 11/17..........8.2 Similar Polygons 8.3 Proving Triangles Similar 8.5 Proportions in Triangles Turn in Homework #8 (6.1, 6.2, 7.1) ------------------------------------------------------------------------
11/22.............9.1 The Tangent Ratio 9.2 Sine and Cosine Ratios 11/24........... Review for Exam #3 Turn in Homework #9 (7.2, 7.3, 8.1, 8.2) -----------------------------------------------------------------
11/29 ............Exam #3 (Sections 5.2 - 5.5, 6.1-6.2, 7.1-7.3, 8.1 - 8.3, 8.5, 9.1-9.2) 12/1............ Review for Final Exam Turn in Homework #10 (8.3, 8.5, 9.1, 9.2) ------------------------------------------------------------------------------ 12/6............Comprehensive
Final Exam (
MATH 153 ASSINGMENTS FOR EACH SECTION
Each assignment is worth 10 points. You will turn in only the numbered problems
listed in bold print to be graded. The remaining problems you will be checking
yourself and using the back of the book. Be sure to use class time, office
hours, and the EOO means Every Other Odd (i.e. #1, 5, 9, 13,...) 1.1..............1-49 odd ...................Turn in #20, 36 1.2...............1-69 EOO, 92-94 ...................Turn in #47, 71 1.3...............1-19 odd, 21-53 EOO, 71-83 odd ....................Turn in #71, 80 1.4...............1-27 odd, 29-32 all, 33-77 odd (omit 49), 87-95 odd ....Turn in #32, 76, 92 1.5...............1-15 odd, 21-33 EOO, 41-49 odd ..........Turn in #21, 43, 47 2.1...............1-61 odd ....................Turn in #24, 59 2.2...............1-49 EOO, 55-69 odd .........Turn in #23, 58, 67 2.3...............1-15 all, 17-33 odd, 39-43 odd ....................Turn in #31, 40 2.4...............1-33 odd, 43-53 odd ...................Turn in #31, 46 2.5...............1-35 odd, 39-59 EOO, 67-73 odd .............Turn in #20, 50, 70 3.1................1-25 odd, 32-36 all ..................Turn in #24, 34 3.2.................1-17 odd , 21-33 EOO, 45, 49, 57-61 odd ................Turn in #32, 58 3.3.................1-11 odd, 19-35 EOO, 41-49 odd ................Turn in #35, 46 3.4.................1-5 odd, 9-25 EOO, 33, 41, 47, 51, 71-85 odd ...............Turn in #24, 84 3.7.................1-33 EOO ...................Turn in #17, 29 4.1.................1-41 odd ....................Turn in #12, 20, 38 4.2.................1-29 odd, 33, 41, 43, 49-55 odd ................Turn in #10, 43, 50 4.3................ 1-33 odd, 46-49 all ................Turn in #32, 46 4.4................1-23 odd, 35-39 odd ..............Turn in #19, 37 4.5...............1-27 odd (omit 19) 33, 34-36 all, 51-53 all ..........Turn in #24, 36, 53 4.6...............1-19 odd, 28, 29, 33, 42-47 all ............Turn in #20, 33, 44 4.7...............1-17 odd, 23, 27, 29, 33, 39, 41 ................Turn in #24, 39 5.2...............1-65 EOO ...............Turn in #14, 22, 34 5.3...............11-16 all, 19-22 all, 27-29 all 45-51all ................Turn in #20, 51 5.4...............1-25 odd, 31-39 odd, 50-55 all ....................Turn in #39, 54 5.5...............1-25 EOO, 34-36 all, 52-55 all ..................Turn in #26, 52 6.1.............1-12 all, 19-33 odd, 37-42 all, 46-49 all, 51-54 all, 65-73 oddTurn in #38, 54 6.2.............. 1-61 every other odd, 70-76 all ...............Turn in #18, 35, 72 7.1...............1-3 all, 8-14 all, 15-23 odd, 44-46 all, 59-63 odd…..Turn in #12, 19, 46, 51 7.2...............1-23 odd, 25-61 EOO, 66, 76, 77, 81, 83............Turn in #61, 76 7.3...............1-29 odd, 35-41 odd, 47, 48, 52-55 all....................Turn in #29, *41, 52 8.1...............1-21 EOO, 27-47 EOO, 57, 61, 73, 77................Turn in #17, 46, 57 8.2...............1-15 odd, 21-28 all, 33-39 odd, 42, 43, 47, 57, 59........Turn in #27, 38, 44 8.3...............1-19 odd, 23-41 odd, 49-53 odd, 57..........Turn in #25, 39, 53 8.5...............1-10 all, 19, 23, 31, 33, 47, 49, 60-69 all....................Turn in #20, 50 9.1...............1-3 all, 5-17 EOO, 27, 29, 39-43 all, 53, 55, 57, 67, 69...Turn in #28, 42, 68 9.2...............1-3 all, 5-21 EOO, 23, 26, 28, 41-43 all....................Turn in #21, 28, 42 |