MATH 153 – EUCLIDEAN GEOMETRY

 

 

 

Winter  2005                                                                              Phone: 541-4660 ext.

M, W  4-5:50                                                                                      Room  A 211

Instructor: Rosie Caplis                                                                Ext 485

 

 

Required Text:  GEOMETRY

                            By Bass, Charles, Johnson, Kennedy

 

 

 

Course Description: This course 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 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 Policy:             Homework                                72 points

                                        4 quizzes @ 25 points ea.        100 points

                                        Midterm & Final

                                         @ 100 points.each                  200 points

                                        TOTAL                                   372 points

 

 

Grading Scale:             A                           90-100 %

                                       B                           80-89  %

                                       C                           70-79   %

                                       D                           60-69   %

                                       F                            Less than 60%

 

 

Attendance: Please commit yourself to attending every class session.  Results show a direct correlation between test scores and attendance.

 

Homework:  All homework assignments are due at the beginning of the next class meet-

ing.  Completed homework (showing all work) will be given full credit.

 

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 the penalty is 10% if the absence is not excused.  Homework will be accepted late for half credit.

 

Important Dates to Remember: 

    Jan.  14        -         Last day for refunds

    Jan .  28       -         Last day to drop with no record

    March  4      -         Last day to withdraw with a “W” grade

    Final Exam -         Monday, March 21, 4-5:50

 

 

 

 

 

DATE                                                                SECTION AND TOPIC

 

 

Jan. 3                        1.1 Patterns and Reasoning

                                                            1.2 Points, Lines, and Planes

 

Jan. 5                                                   1.3 Segments, Rays, Parallel Lines, and Planes                                                                

                                                            1.4 Measuring Segments and Angles

 

Jan 10                                                  1.5 Basic Constructions     

                                                            2.1 Conditional Statements

 

Jan. 12                                                QUIZ # 1: Sections 1.1-1.5

                                                            2.2 Biconditionals (iff) and Definitions

.                                                           2.3 Deductive Reasoning

                                                            

         

Jan. 19                                                 2.4  Reasoning in Algebra                                                    

                                                            2.5  Proving Angles Congruent

                                                          

Jan. 24                                                 3.1  Properties of Parallel Lines  

                                                                        3.2  Proving Lines Parallel

 

Jan. 26                                                 3.3  Parallel Lines and Triangular-Sum Theorem

                                                            3.4  The Polygon Angle-Sum Theorems

 

 

 

 

Jan. 31                                                QUIZ # 2: Sections 2.1-2.5, 3.1, 3.2

3.7    Constructing Parallel and Perpendicular Lines

                                                            4.1  Congruent Figures

                                               

Feb. 2                                                  4.2 Triangle Congruence by SSS and SAS

                                                            4.3 Triangle Congruence by ASA and AAS

 

Feb. 7                                                  4.4 Using Congruent Triangles CPCTC

                                                            4.5 Isosceles and Equilateral Triangles

                                              

Feb. 9                                                 MID-TERM : Sections 1.1-1.5, 2.1-2.5, 3.1-3.4, 3.7

                                                           4.1-4.3                                                                              

 

Feb 14                                                4.6 Congruence of Right Triangles

           4.7 Using Corresponding Parts of Congruent  Triangles                                                                                        

Feb. 16                                               5.4 Inverses, Contrapositives, and Indirect  Reasoning                

5.5    Inequalities in Triangles

 

Feb 23                                                 6.1 Classifying Quadrilaterals

                                                            6.2 Properties of Parallelograms

 

 

Feb 28                                                 QUIZ #3 : Sections 4.4-4.7, 5.4, 5.5

                                                            5.3 Concurrent Lines, Medians, and Altitudes

                                                            7.1 Areas of Parallelograms and Triangles

 

March 2                                              7.2 The Pythagorean Theorem and Its Converse

                                                                       7.3 Special Right Triangles

  

March 7                                                 8.1 Ratios and Proportions

                                                            8.2 Similar Polygons

 

March 9                                              Quiz #4: Sections 6.1, 6.2, 5.3, 7.1-7.3

                                                            8.3 Proving Triangles Similar

                                                            8.5 Proportions in Triangles

 

March 14                                             9.1 The Tangent Ratio

                                                            9.2  Sine and Cosine Ratios

 

March 16                                             Review for Final Exam

 

March 21                                             Final Exam    

 

 

 

 

 

 

HOMEWORK ASSIGNMENTS

 

SECTION                                                                                 

 

1.1             1-49 odd                  

 

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

 

 

 

5.4             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                  

 

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