EUCLIDEAN GEOMETRY

 

Math 153 - 4 units - Winter, 2010

 

Tuesday & Thursday 6:20 - 8:10

 

Room: A211 

 

INSTRUCTOR: Judd Andolina         

 

PHONE NUMBER: 541-4660, Extension 366

 

E-MAIL: andolina@ltcc.edu

 

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.

 

REGISTRATION:

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

 

2. The last day to drop the class with no record is Friday, January 29th.

 

3. The last day to drop the class for a "W" grade is Friday, February 19th.

 

4. After February 19th, if you are enrolled, you will receive one of the following grades: A B C D F or I (Incomplete, is only allowed in special cases).

 

In this class, it is your responsibility to drop the class in order to avoid a grade. You must go to the registrar by the above dates to avoid a grade from option four.

 

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.

 

 

JUDD’S COMMITMENT TO THIS CLASS:

 

· I will check the earlier part of my day at the door when I enter the classroom, and I will give this class 100% of my attention while we are meeting.

 

· I will come to class well prepared.

 

· I will be here on time.

 

· I will listen and seek to understand what is being said.

 

· I will not shortchange the students in this class by setting low standards.

 

· I will put 100% of my effort into being the best possible teacher for the students in this class.

 

GRADING POLICY: Method of Student Evaluation

 

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) Be willing to ask questions.

 

10) Take notes.

 

11) Study in groups and find a study buddy.

 

TUTORING: Tutoring is available in the Gateway Math Center. The phone number is 541-4660 extension 741.

 

        Regular hours of operation are: Monday - Thursday 9am-6pm

                                                               Friday 10am-2pm

                                                               Saturday 11am-1 pm

 

OFFICE HOURS: My office is in room A211

 

            Tuesdays & Thursdays……5:50pm - 6:20pm

 

SCHEDULE

 

Date    Section    Topic

Jan. 5......... Introductions, Syllabus

            1.1 Patterns and Inductive Reasoning

            1.2 Points, Lines, and Planes

Jan. 7..........1.3 Segments, Rays, Parallel Lines and Planes

            1.4 Measuring Segments and Angles

            1.5 Basic Constructions

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Jan. 12........ 2.1 Conditional Statements

            2.2 Biconditionals and Definitions

            2.3 Deductive Reasoning

Jan. 14......... 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)

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Jan. 19........... 3.1 Properties of Parallel Lines

            Review for Exam #1

Jan. 21...........Exam #1 (Sections 1.1 - 1.5, 2.1 - 2.5)

Turn in Homework #2 (2.1 - 2.3)

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Jan. 26........... 3.2 Proving Parallel Lines

            3.3 Parallel Lines and the Triangle-Angle-Sum

Jan. 28............ 3.4 Polygon Angle-Sum Theorem

            3.7 Constructing Parallel and Perpendicular Lines

Turn in Homework #3 (2.4, 2.5, 3.1)

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Feb. 2............. 4.1 Congruent Figures

            4.2 Triangle Congruence by SSS and SAS

             4.3 Triangle Congruence by ASA and AAS

Feb. 4...........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)

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Feb. 9.......... 4.6 Congruence in Right Triangles

            4.7 Using Corresponding Part of Congruent Triangles

            5.2 Bisectors in Triangles

Feb. 11............5.3 Concurrent Lines, Medians, and Altitudes

            Review for Exam #2

Turn in Homework #5 (4.1 - 4.4)

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Feb. 16............Exam #2 (Sections 3.1 - 3.4, 3.7 4.1 - 4.7)

Feb. 18............5.4 Inverses, Contra positives, and Indirect Reasoning

            5.5 Inequalities in Triangles

Turn in Homework #6 (4.5 - 4.7)

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Feb. 23...........6.1 Classifying Quadrilaterals

            6.2 Properties of Parallelograms

            7.1 Areas of Parallelograms and Triangles

Feb. 25..........7.2 The Pythagorean Theorem and its Converse

            7.3 Special Right Triangles

Turn in Homework #7 (5.2 - 5.5)

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Mar. 2...…...8.1 Ratios and Proportions

            Quiz #3 (Sections 5.2 - 5.5, 6.1-6.2)

Mar. 4..........8.2 Similar Polygons

            8.3 Proving Triangles Similar

            8.5 Proportions in Triangles

Turn in Homework #8 (6.1, 6.2, 7.1)

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Mar. 9.............9.1 The Tangent Ratio

            9.2 Sine and Cosine Ratios

Mar. 11...........Review for Exam #3

Turn in Homework #9 (7.2, 7.3, 8.1, 8.2)

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Mar. 16 ............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)

Mar. 18............ Review for Final Exam

Turn in Homework #10 (8.3, 8.5, 9.1, 9.2)

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Mar. 23............Comprehensive Final Exam (6:00 - 8:00)

 

 

 

 

 

 

 

 

 

 

 

MATH 153 ASSINGMENTS

 

            TEXT: "Geometry" by Bass, Hall, Johnson, and Kennedy - Prentice Hall

 

INTSTRUCTOR: Judd Andolina

 

            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 Gateway Math Center to get all of your questions answered.

 

EOO means Every Other Odd (i.e. #1, 5, 9, 13,...)

 

SECTION PROBLEMS

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 odd

....................Turn 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