MAT 153 – Euclidean Geometry

 

 

Math 153                                                                                                   Fall, 2004

 

Tuesday & Thursday                                                                                 4:00 – 5:50 PM

 

Room: A208                                                                                                 4 units

 

INSTRUCTOR:    Charlie Lincoln

PHONE NUMBER:  577-0414

E-MAIL:  c.lincoln@sbcglobal.net

OFFICE HOURS:  To Be Announced

 

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, congruence, the Pythagorean Theorem, similarity, and special right angles.

 

STUDENT OUTCOMES: The successful student will:

1) Exhibit a proficiency in the topics covered in the course.

2) Engage in logical and critical thinking.

3) Read technical information.

4) Demonstrate the solution to problems by translating written language into mathematical statements, interpreting information, sketching relevant diagrams, analyzing given information, formulating appropriate math statements, and checking and verifying results.

 

PREREQUISITE: MAT 152B or equivalent or appropriate skills demonstrated through the math assessment process. Prior completion of MAT 152B with a grade of "C" or better also satisfies this co-requisite.

 

GRADING POLICY:                       

Homework                                                                           100 points

Exam #1: Sections 1.1-2.5                                            100 points

Exam #2: Sections 3.1-4.7                                           100 points

Exam #3: Sections 5.3-9.2                                              100 points

Quizzes* (Three at 20 points each)                              60 points

Final (Covers entire course content)                        150 points

 

Your letter grade will be based on your percentage of the 610 possible points.

 

A         90-100%

B          80-89%

C         70-79%

D         60-69%

F          less than 60%

 

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 on the exam, which covers the same material.  For Chapter Exams and the Final, make-up is possible, but there is a 10% penalty if the absence is not excused.  Homework will be accepted late with a penalty of 2 points for each school day that it is late.

 

LEARNING DISABILITIES: Students with disabilities who may need accommodations for this class are encouraged to notify 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 (located in room A205) or by phoning 541-4660, ext. 249 (voice) or 542-1870 (TTY for deaf students).  All information will remain confidential.

 

REGISTRATION:

·        You must register for this class at the Office of Admissions and Records.

·        The last day to drop the class with no record is Friday, October 1.

·        The last day to drop the class for a "W" grade is Friday, October 15.

·        After October 15, if you are enrolled you will receive some kind of grade.

 

In this class, it is your responsibility to drop the class in order to avoid a grade.

 

TUTORING:  Tutoring is available in the Gateway Math Center in Room G4 in the portable buildings near the LAC and photography lab.  Tutoring schedules will be distributed to you in class.

 

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) Be willing to ask questions.

10) Take notes.

11) Study in groups and find a study buddy.

 

 

 

 

 

 


TENTATIVE SCHEDULE

 

Date                  Section                  Topic

Sept 21                                Greetings, Syllabus,

                      1.1                      Patterns and Inductive Reasoning

                      1.2                      Points, Lines, and Planes

Sep 23                      1.3                      Segments, Rays, Parallel Lines and Planes

                      1.4                       Measuring Segments and Angles

                      1.5                      Basic Constructions

Sept 28                      2.1                       Conditional Statements

                      2.2                      Biconditionals and Definitions

                                            Quiz #1 (Sections 1.1-1.5)

                                            Homework Due (1.1-1.5)

Sept 30                      2.3                        Deductive Reasoning

                      2.4                      Reasoning in Algebra

                      2.5                      Proving Angles Congruent     

                         

Oct 5                                   Review for Exam #1

                                            Homework Due (2.1-2.5)

Oct 7                                   Exam #1 (Sections 1.1-1.5, 2.1-2.5)

Oct 12                      3.1                      Properties of Parallel Lines

                      3.2                      Proving Parallel Lines

                      3.3                      Parallel Lines and the Triangle, Angle Sum Theorem

Oct 14                      3.4                      Polygon Angle-Sim Theorem

                      3.7                            Constructing Parallel and Perpendicular Lines

Oct 19                      4.1                      Congruent Figures

                      4.2                      Triangle Congruence by SSS and SAS

                      4.3                      Triangle Congruence by ASA and AAS  

                                            Quiz #2 (Sections 3.1-3.7)

                                            Homework Due (3.1-3.7)

Oct 21                      4.4                      Using Congruent Triangles: CPCTC

                      4.5                      Isosceles and Equilateral Triangles

                      4.6                      Congruence in Right Triangles

Oct 26                      4.7                      Using Corresponding Parts of Congruent Triangles

                                            Review for Exam #2

                                            Homework Due (4.1-4.6)  

Oct 28                                 Exam #2 (Sections 3.1-3.7, 4.1-4.7)

                                            Homework Due (4.7)

Nov 2                      5.3                      Congruent Lines, Medians and Altitudes 

                      5.4                      Inverses, Contrapositives, and Indirect Reasoning

                      5.5                      Inequalities in Triangles

Nov 4                      6.1                      Classifying Quadrilaterals

                      6.2                      Properties of Parallelograms

                       

Nov 9                      7.1                      Areas of Parallelograms and Triangles

                      7.2                      The Pythagorean Theorem and its Converse

                      7.3                      Special Right Triangles

                                            Quiz #3 (Sections 5.3-6.2)

                                      Homework Due (5.3-6.2)

Nov 11                                Veteran’s Day Holiday                  

Nov 16                      8.1                        Ratios and Proportions

                      8.2                      Similar Polygons

Nov 18                      8.3                      Proving Triangles Similar

                      8.5                      Proportions in Triangles

Nov 23                      9.1                      The Tangent Ratio

                      9.2                      Sine and Cosine Ratios

                                            Review for Exam 3

                                            Homework Due (Section 6.1-8.5)

Nov 25                                Thanksgiving Holiday

Nov 30                                Exam #3 (Sections 5.3-5.5, 6.1-6.2, 7.1-7.3, 8.1-8.5, 9.1-9.2)

                                            Homework Due (Section 9.1-9.2)

Dec 2                                   Review for Final Exam

Dec 7                                  Cumulative Final Exam (6:00 – 7:50)

 

--------------------------------------------------------------------------------

 

MATH 153 ASSIGNMENTS

 

TEXT:  Geometry by Bass, Charles, Johnson, and Kennedy – Prentice Hall

 

INSTRUCTOR: CHARLIE LINCOLN

 

Each assignment is worth 12.5 points.  You will turn in only the problems listed in bold print to be graded.  The remaining problems you will be checking yourself in the back of the book.  Be sure to use class time, office hours, and the Gateway Math Center to get all of your questions answered.

 

SECTION                        PROBLEMS

1.1             1-49 odd                   #19, 33

1.2             1-69 every other odd, 92-94                  #47, 71

1.3             1-19 odd, 21-53 every other odd, 71-83 odd                   #71, 79

1.4             1-27 odd, 29-32 all, 33-77 odd (omit 49), 87-95 odd                  #32, 76, 91

1.5             1-15 odd, 21-33 every other odd, 41-49 odd                   #21, 43, 47

2.1             1-61 odd                   #23, 59

2.2             1-49 every other odd, 55-69 odd                  #23, 55, 67

2.3             1-15 all, 17-33 odd, 39-43 odd                   #31, 41

2.4             1-33 odd, 43-53 odd                   #31, 47

2.5             1-35 odd, 39-59 every other odd, 67-73 odd                   #21, 49, 71

3.1             1-25 odd, 32-36 all                  #25, 34

3.2             1-17 odd , 21-33 every other odd, 45, 49, 57-61 odd                  #33, 59

3.3             1-11 odd, 19-35 every other odd, 41-49 odd                   #35, 47

3.4             1-5 odd, 9-25 every other odd, 33, 41, 47, 51, 71-85 odd                  #25, 81

3.7             1-33 every other odd                   #17, 29

4.1             1-41 odd                   #11, 37

4.2             1-29 odd, 33, 41, 43, 49-55 odd                   #11, 43, 51

4.3             1-33 odd, 46-49 all                   #33, 47

4.4             1-23 odd, 35-39 odd                  #19, 37

4.5             1-27 odd (omit 19) 33, 34-36 all, 51-53 all                   #25, 36, 53

4.6             1-19 odd, 28, 29, 33, 42-47 all                   #19, 33, 45

4.7             1-17 odd, 23, 27, 29, 33, 39, 41 #23, 39

5.3             11-16 all, 19-22 all, 27-29 all 45-51all                  #20, 51

5.4             1-25 odd, 31-39 odd, 50-55 all                  #39, 54

5.5             1-25 every other odd , 34-36 all, 52-55 all                  #25, 52

6.1             1-12 all, 19-33 odd, 37-42 all, 46-49 all, 51-54 all, 65-73 odd                  #37, 54

6.2             1-61 every other odd, 70-76 all                  #19, 35, 72

7.1             1-3 all, 8-14 all, 15-23 odd, 44-46 all, 59-63 odd                   #12, 19, 46, 51

7.2             1-23 odd, 25-61 every other odd, 66, 76, 77, 81, 83                  #61, 77

7.3             1-29 odd, 35-41 odd, 47, 48, 52-55 all                  #29, 41, 52

8.1             1-21 every other odd, 27-47 every other odd, 57, 61, 73, 77                  #17, 47, 57

8.2             1-15 odd, 21-28 all, 33-39 odd, 42, 43, 47, 57, 59                  #27, 39, 43

8.3             1-19 odd, 23-41 odd, 49-53 odd, 57, 63-65 all                  #39, 53, 65

8.5             1-10 all, 19, 23, 31, 33, 47, 49, 60-69 all                  #19, 49

9.1             1-3 all, 5-17 every other odd, 27, 29, 39-43 all, 53, 55, 57, 67, 69                  #27, 43, 67

9.2             1-3 all, 5-21 every other odd, 23, 26, 28, 41-43 all                  #21, 28, 41