MAT 153 – Euclidean Geometry

Fall 2006

Course ID	Room	Unit	Days	Start Time	End Time
MAT 153	HSSV4	4	T, Th	4:00 PM	5:50 PM

INSTRUCTOR: Helen Shen

PHONE: 530-577-4515 (home), leave message

E-MAIL: htshen00@hotmail.com

LTCC MATH PAGE:          http://www.ltcc.edu/academics.asp?scatID=5&catID=34

REQUIRED TEXT: Geometry, Prentice Hall Mathematics

RECOMMENDED TEXT: Solution Key, prepared by Prentice Hall Mathematics

COUSE 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.

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; and

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

RECOMMENDED

PREREQUISITE: A grade of C or better in Mat152A and Mat152B, or equivalent, or satisfactory score in Mathematics Assessment Test. Mat152B may be taken concurrently.

GRADING POLICY: GRADING SCALE:

Homework 20% A 90%-100%

Quizzes 15% B 80%-89%

Exams 40% C 70%-79%

Final 25% D 60%-69%

F less than 60%

EXAM POLICY: Grading will be based on progress towards the final answer, and the demonstration of understanding of the concept that is being tested. The more you show me with steps and detail, the better your chances for partial credit. You provide me the communication and detail in your answers; and I will give you the best grade I can based on that communication and answer.

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.

For Homework, you must show your work to get credit, half credit for completion and half credit for selected problems. Late homework is worth half credit and will NOT be accepted after one week. You can turn in your homework early if you know you are going to miss the class. You can consult a classmate, a tutor, your instructor, or anyone for assistance on the homework.

LEARNING If you have a learning disability, be sure to discuss your special needs with me

DISABILITIES: during the first week of class. Learning disabilities will be accommodated.

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

· Friday, October 13; Last day to drop the class with no penalty or mark on

your record.

· Friday, November 17; Last day to drop the class and receive a grade of W.

· After November 17, 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: Tutors are available at no cost in GMC (The Gateway Math Center) on a drop-in basis. The phone number is 541-4660 x741.

HOW TO SUCCEED 1. Come to every class meeting.

IN A MATH CLASS: 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. Start preparing for tests at least a week in advance.

6. Take advantage of tutors and office hours, extra help can make a big difference.

7. Do some review every time you study math.

8. Be willing to ask questions.

9. Study in groups and find a study body.

Lecture Schedule for Math 153

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

Date

Section

Topic

Homework

T 9/19

1.1

1.2

1.3

Introductions, Discussion of Syllabus

Patterns & Reasoning

Points, Lines, & Planes

Segments, Rays, Parallel Lines, & Planes

#1 - 49 odd

#1 - 69 EOO, 92-94 all

#1 – 19 odd, 21-53 EOO, 71-83 odd

Turn in Homework #1 (Sections 1.1-1.3)

On Sept. 21.

Th 9/21

1.4

1.5

2.1

Measuring Segments and Angles

Basic Constructions

Conditional Statements

#1 – 27 odd, 29-33 all, 35-77 odd (omit #49), 87-95odd

#1-15, odd, 21-33 EOO, 41-49 odd

1-61 odd

T 9/26

2.2

2.3

2.4

Biconditionals (Iff) and Definitions

Deductive Reasoning

Reasoning in Algebra

#1-49 EOO, 55-69 odd

#1-15 all, 17-33 odd, 39-43 odd

#1-31 odd, 43-53 odd

Turn in Homework #2 (Sections 1.4-1.5, 2.1-2.4) on Sept. 28.

Th 9/28

2.5

3.1

Quiz #1 (Sections 1.1 - 2.4)

Proving Angles Congruent

Properties of Parallel Lines

#1-35 odd, 39-59 EOO, 67-73 odd

#1-25 odd, 32, 33-36 all

T 10/3

3.2

3.3

Proving Lines Parallel

Parallel Lines and the Triangle-Sum theorem

#1-17 odd, 21-33 EOO, 45, 49, 57-61 odd

#1-11 odd, 19-35 EOO, 41-49 odd

Turn in Homework #3 (Sections 2.5, 3.1-3.3) on Oct. 5.

Th 10/5

3.4

3.7

The Polygon Angle-Sum Theorems

Constructing Parallel And Perpendicular Lines

#1-5 all, 9-25 EOO, 33, 41, 47, 51, 71-85 odd

#1-33 EOO

Turn in Homework #4 (Sections 3.4-3.7) on Oct. 10.

T 10/10

4.1

Congruent Figures

Review for Exam 1

#1-41 odd

Th 10/12

Exam #1 (Chapter 1 - 3)

T 10/17

4.2

4.3

4.4

Triangle Congruence by SSS and SAS

Triangle Congruence by ASA and AAS

Using Congruent Triangles: CPCTC

#1-29 odd, 33, 41, 43, 49-55 odd

#1-33 odd, 46-49 all

#1-23 odd, 35-39 odd

Th 10/19

4.5

4.6

Isosceles and Equilateral Triangles

Congruence of Right Triangles

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

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

Turn in Homework #5 (Sections 4.1 - 4.6) on Oct. 24.

T 10/24

4.7

5.3

5.4

Using Corresponding Parts of Congruent Triangles

Cover only the definition of Median and Altitude

Inverse, Contrapositives, and Indirect Reasoning

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

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

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

Th 10/26

5.5

Quiz #2 (Sections 4.1 - 5.4)

Inequalities in Triangles

#1-25 EOO, 34-36 all, 52-55 all

Turn in Homework #6 (Section 4.7, 5.3-5.5) on Oct. 31.

T 10/31

6.1

6.2

Classifying Quadrilaterals

Properties of Parallelograms

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

#1-61 EOO, 70-76 all

Th 11/2

7.1

7.2

Areas of Parallelograms and Triangles

The Pythagorean Theorem and Its Converse

Review for Exam #2

#1-3 all, 8-14 all, 15-23 odd, 44-46 all, 59-63 odd

#1-61 EOO, 66, 76, 77, 81, 83

Turn in Homework #7 (Section 6.1-6.2) on Oct 7.

T 11/7

Exam #2 (Chapter 4 - 6)

Th 11/9

7.3

8.1

8.2

Special Right triangles

Ratios and Proportions

Similar Polygons

#1-29 EOO, 35-41 odd, 52-55 all

#1-21 EOO, 27-47 EOO, 57-61 odd, 73-77 odd

#1-15 odd, 21-28 all, 33-39 odd, 42, 43,47, 57, 59, 63-65 all

Turn in Homework #8 (Section 7.1-7.3, 8.1-8.2) on Nov. 14.

T 11/14

8.3

8.5

Proving Triangles Similar

Proportions in Triangles

#1-19 odd, 23-39 EOO, 49-53 odd, 57

#1-10 all, 19, 23, 31, 33, 47, 49, 60-62 all

Th 11/16

9.1

Quiz #3 (Sections 7.1 - 7.3, 8.1 - 8.5)

The Tangent Ratio

#1-3 all, 5-17 EOO, 27, 29, 39-43, 53, 55, 57, 67-69 all

T 11/21

9.2

Sine and Cosine Ratios

Review for Exam #3

#1-3 all, 5-21 EOO, 23, 26, 28, 41-43 all

Turn in Homework #9 (Section 8.3, 8.5, 9.1-9.2) on Nov. 28.

Th 11/23

Thanksgiving Holiday

T 11/28

Exam #3 (Chapter 7-9)

Th 11/30

Review for Final Exam

T 12/5

Cumulative Final Exam (4-5:50pm)