Euclidian Geometry

Euclidian Geometry

Math 153-1

Winter 2009 4 units

INSTRUCTOR: Cindy Littell

PHONE NUMBER: 541-4660, Extension 447 (voicemail only)

E-MAIL: littell@ltcc.edu

MEETING TIMES: Tuesday and Thursday: 1:00p – 2:50p

MEETING PLACE: Room E106

REQUIRED TEXT: Geometry, Prentice Hall Mathematics

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 equivalent, or satisfactory score in Mathematics Assessment Test. Mat152B may be taken concurrently.

Students with disabilities must identify themselves to me within the first two weeks of class.

Accommodations for Students with Disabilities: Students requiring accommodations for a certain disability that may affect class performance are requested to schedule with a staff member at the DRC to discuss this during the first week of the quarter so that appropriate arrangements can be made. They only test and accept new students into the program during the first two weeks of each quarter, so don’t put it off.

The Math Success Center (inside A201) has free tutoring for all registered students. Please Log In and Out so that the facility gets the funds it needs.

As a Courtesy to everyone in class, please turn off your cell phones. Thank you.

How to succeed in a Math class:

1. Come to every class meeting.

2. Arrive early, be prepared, and take notes.

3. Ask questions, especially if you don’t understand a concept.

4. Do more than just the homework problems.

5. Take advantage of the free tutoring service in the GMC and my hours as your academic coach.

6. Study in groups and do your homework with a classmate.

7. Start preparing for exams at least one week in advance.

8. Do some math every day.

Dropping: In this class, it is your responsibility to drop the class in order to avoid an unwanted grade. For this, you must go to Admissions & Records.

Friday, January 16, 2009 is the last day for refunds.

Friday, January 30, 2009 is the last day to drop with no record or file C/NC.

Friday, February 20, 2009 is the last day to withdraw with a “W” grade.

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 and graphical 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 math statements, and checking and verifying results.

Grading: Your class letter grade will be based on the usual grading scale:

A: 90% and above, B: 80-89%, C: 70-79%, D: 60-69%, F: 59% and under

Homework 100 points

2 Quizzes 100 points

3 Midterm Exams 450 points

Comprehensive Final Exam: 250 points

Total 900 points

Homework: Will be due on the day of review for that midterm exam. We will work the homework on the board either individually or in groups as well as work practice exams. The final review will be going over all the exams and working a practice exam. Each group of homework and the work done in review will count for 25 points.

Quizzes: There are no make-up quizzes. Each quiz is 50 points. All quizzes are given during the first 30 minutes of class. Please be on time. (If you miss a quiz, you can write a paper assigned by me consisting of at least 1500 words with a possible top value of 45 points.)

Midterm Exams: You must notify me before an exam if you will miss the exam (541-4660 EXT 447). Exams must be made up within 3 school days after the scheduled date, with a penalty of 10%. You may take an exam up to 3 school days before the scheduled date without penalty. Arrangements must be made with me at least one week in advance of your special accommodation.

The Comprehensive Final Exam is on Tuesday, Mar. 24, 2009 at 12p-1:50p.

Academic Integrity:

Homework may be done in groups with other students or with the help of the instructor or tutors, but each student must turn in their own work.

Quizzes and Exams must be done by the student alone.

Any Student who violates this rule will receive a zero on the Quiz or Exam.

A second offense will result in withdrawal, failing the course, or academic expulsion.

TENTATIVE SCHEDULE

Date Section Topic__________________________________________

Jan. 6 Greetings

Syllabus,

1.1 Patterns and Inductive Reasoning

1.2 Points, Lines, and Planes

Jan. 8 1.3 Segments, Rays, Parallel Lines and Planes

1.4 Measuring Segments and Angles

Jan. 13 2.1 Conditional Statements

2.2 Biconditionals and Definitions

Review for Quiz #1

Jan. 15 Quiz #1

2.3 Deductive Reasoning

2.4 Reasoning in Algebra

2.5 Proving Angles Congruent

Jan. 20 3.1 Properties of Parallel Lines

3.2 Proving Parallel Lines

3.3 Parallel Lines and the Triangle, Angle Sum Theorem

Jan. 22 3.4 Polygon Angle-Sum Theorem

1.5 Basic Constructions

3.7 Constructing Parallel and Perpendicular Lines

Jan. 27 Review for Exam #1

Jan. 29 Exam #1

Date Section Topic__________________________________________

Feb. 3 4.1 Congruent Figures

4.2 Triangle Congruence by SSS and SAS

4.3 Triangle Congruence by ASA and AAS

Feb. 5 4.4 Using Congruent Triangles: CPCTC

4.5 Isosceles and Equilateral Triangles

4.6 Congruence in Right Triangles

Feb. 10 4.7 Using Corresponding Parts of Congruent Triangles

5.3 Congruent Lines, Medians and Altitudes

5.4 Inverses, Contrapositives, and Indirect Reasoning

Feb. 12 5.5 Inequalities in Triangles

Review for Quiz #2

Feb. 17 Quiz #2

6.1 Classifying Quadrilaterals

6.2 Properties of Parallelograms

Feb. 19 7.1 Areas of Parallelograms and Triangles

7.2 The Pythagorean Theorem and its Converse

7.3 Special Right Triangles

Feb. 24 Review for Exam #2

Feb. 26 Exam #2

Mar. 3 8.1 Ratios and Proportions

8.2 Similar Polygons

Date Section Topic__________________________________________

Mar. 5 8.3 Proving Triangles Similar

8.5 Proportions in Triangles

Mar. 10 9.1 The Tangent Ratio

9.2 Sine and Cosine Ratios

Mar. 12 Review for Exam 3

Mar. 17 Exam #3 (Sections 5.3-5.5, 6.1-6.2, 7.1-7.3, 8.1-8.5, 9.1-9.2)

Mar. 19 Review for Final Exam

Mar. 24 Cumulative Final Exam (6:00 – 7:50)

SECTION PROBLEMS

1.2 1-69 every other odd, 92-94

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

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

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

2.1 1-61 odd

2.2 1-49 every other odd, 55-69 odd

2.3 1-15 all, 17-33 odd, 39-43 odd

2.4 1-33 odd, 43-53 odd

2.5 1-35 odd, 39-59 every other odd, 67-73 odd

3.1 1-25 odd, 32-36 all

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

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

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

3.7 1-33 every other odd

4.1 1-41 odd

4.2 1-29 odd, 33, 41, 43, 49-55 odd

4.3 1-33 odd, 46-49 all

4.4 1-23 odd, 35-39 odd

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

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

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

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

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

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

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

6.2 1-61 every other odd, 70-76 all

7.1 1-3 all, 8-14 all, 15-23 odd, 44-46 all, 59-63 odd

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

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

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

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

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

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

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

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