Campus:  Ohio University, Athens Campus 

Department:  Mathematics 
Academic Year:  2017  2018 
Term:  Fall Semester 
Course:  Math 2110 
Title:  Introductory Geometry for Middle School Teachers 
Section:  100 (Class Number 9757) 
Instructor:  Mark Barsamian 
Contact Information:  My contact information is posted on my web page. 
Office Hours:  My office hours are posted on my web page. 
Course Description: Intended for middle childhood education majors. Core concepts and principles of Euclidean geometry in two and threedimensions. Informal and formal proof. Measurement. Properties and relations of geometric shapes and structures. Symmetry. Transformational geometry. Tessellations. Congruence and similarity. Coordinate geometry. Constructions. Historical development of Euclidean and nonEuclidean geometries including contributions from diverse cultures. Dynamic Geometry Software to build and manipulate representations of two and three dimensional objects.
Prerequisites: (MATH 1300 or 1322 or Math placement level 3) and education major
Class meetings: Mon, Wed, Fri 9:40am  10:35am in Morton Hall Room 318
Syllabus: This web page replaces the usual paper syllabus. If you need a paper syllabus (now or in the future), print this web page.
Special Needs: If you have physical, psychiatric, or learning disabilities that require accommodations, please let me know as soon as possible so that your needs may be appropriately met.
Attendance Policy: Attendance is required for all lectures and exams, and will be recorded.
Missing Class: If you miss a class for any reason, it is your responsibility to copy someone’s notes and study them. I will not use office hours to teach topics discussed in class to students who were absent.
Missing a Quiz or Exam Because of Illness: If you are too sick to take a quiz or exam, then you must
Missing Quizzes or Exams Because of University Activity: If you have a University Activity that conflicts with one of our quizzes or exams, you must contact me before the quiz or exam to discuss arrangements for a makeup. I will need to see documentation of your activity. If you miss a quiz or an exam because of a University Activity without notifying me in advance, you will not be given a makeup.
Missing Quizzes or Exams Because of Personal Travel Plans: This course has 41 class meetings. Attendance is required for all of those class meetings. I will not offer early or makeup quizzes or exams to accommodate your personal travel plans.
Cheating on Quizzes or Exams: If cheat on a quiz or exam, you will receive a zero on that quiz or exam and I will submit a report to the Office of Community Standards and Student Responsibility (OCSSR). If you cheat on another quiz or exam, you will receive a grade of F in the course and I will again submit a report to the OCSSR.
Grading: During the semester, you will accumulate points as described in the table below.
Class Presentations (10 presentations, 10 points each):  100 points possible 
Quizzes (best 8 of 10 quizzes, 25 points each):  200 points possible 
InClass Exams (best 3 of 4 exams, 150 points each):  450 points possible 
Cumulative Final Exam:  250 points possible 
Total:  1000 points possible 
At the end of the semester, your Total will be converted to your Course Grade as described in the table below. (Note that there is no curve.)
Total Score  Percentage  Grade  Interpretation 

900  1000  90%  100%  A, A  You mastered all concepts, with no significant gaps 
800  899  80%  89.9%  B, B, B+  You mastered all essential concepts and many advanced concepts, but have some significant gaps. 
700  799  70%  79.9%  C, C, C+  You mastered most essential concepts and some advanced concepts, but have many significant gaps. 
600  699  60%  69.9%  D, D, D+  You mastered some essential concepts. 
0  599  0%  59.9%  F  You did not master essential concepts. 
Blackboard Gradebook: Throughout the semester, your current scores and current course grade will be available in an online gradebook on the Blackboard system.
Suggested Exercises: One learns math primarily by trying to solve problems. The centerpiece of this course is the list of Suggested Exercises found in the table below. (Currently, the table has only been populated with exercises from Chapters 1 and 2, but exercises will be added for later chapters as the semester progresses.) The goal of the course is for you to be able to solve the exercises in this table. These exercises are not to be turned in and are not graded, but you should do as many of them as possible and keep your solutions in a notebook for study. The quizzes and exams will be made up of problems similar to suggested exercises.
On all problems: Find an exact answer in symbols first, then find a decimal approximation if one is called for. That is, "EAFTDA".
Textbook Section  Suggested Exercises 

1.1 Problem Solving Strategies  3, 5, 7, 11, 17, 19, 23, 25, 33, 39 
1.2 More Problem Solving Strategies  5, 7, 9, 15, 19, 21, 23, 27, 29, 33, 35, 37, 39, 41 
2.1 Undefined Terms, Definitions, Postulates  7, 11, 15, 17, 19, 21, 22, 39, 42 
2.2 Polygons and Circles  3, 5, 7, 11, 15, 19, 21, 27, 29, 31, 33, 35 
2.3 Angle Measure in Polygons and Tessalations  1, 3, 9, 13, 15, 19, 21, 23, 25, 33 
2.4 ThreeDimensional Shapes  1, 3, 5, 9, 11, 15, 17, 19, 21, 23, 25, 27, 29, 33, 35, 37 
2.5 Dimensional Analysis  5, 7, 9, 11, 13, 17, 19, 23, 25, 27 
3.1 Perimeter, Circumference, Area of Basic Shapes  5, 7, 11, 13, 17, 19, 20, 27, 28, 31, 33, 35, 37, 38, 51 
3.2 More Area Formulas  1, 9, 13, 14, 16, 17, 18, 19, 21, 22, 23, 36, 39, 43 
3.3 Pythagorean Theorem & Right Triangles  2, 4, 9, 12, 13, 14, 22, 23, 24, 25, 30, 35, 48, 49 
3.4 Surface Area  3, 8, 12, 15, 16, 17, 20, 21, 22, 23, 24, 27, 28, 29 (EAFTDA) 
3.5 Volume  3, 7, 13, 17, 22, 23, 28, 41, 43, 44, 45, 46 (EAFTDA) 
4.1 Reasoning and Proof in Geometry  17, 18, 19, 20, 22, 25, 26, 27, 8, 29, 30, 31, 32, 37, 38, 39, 40, 41, 42, 45 
4.2 Triangle Congruence Conditions  2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 24, 25, 26, 35, 37, 40, 42 
4.3 Problem Solving Using Triangle Congruence  3, 5, 7, 9, 11, 12, 13, 15, 16, 17, 18, 19, 20 
5.1 Indirect Reasoning and the Parallel Postulate  1, 2, 3, 4, 5, 6, 7, 9, 11, 13, 15, 17, 29, 31, 33, 35, 37 
5.2 Important Theorems Based on the Parallel Postulate  2, 4, 8, 10, 12, 14, 16, 18, 20, 21, 22, 23, 25, 26, 29, 31 
5.3 Parallelograms and Rhombuses  13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 38, 39, 41, 43 
5.4 Rectangles, Squares, and Trapezoids  1, 3, 7, 8, 11, 12, 25, 26, 28, 30, 31, 32, 33, 36, 41, 44, 45 
6.1 Ratio and Proportion  12, 14, 20, 22, 24, 26, 30, 32, 34, 36, 40, 44 
6.2 Similar Triangles  1, 2, 3, 5, 7, 9, 10, 11, 12, 13, 17, 18, 19, 21, 22, 23, 24, 26, 37 
6.3 Applications of Similarity  1, 3, 5, 7, 9, 11, 13, 18, 20, 24, 25, 27, 31, 33, 34, 35, 39 
6.4 Using Right Angle Trig to Solve Geom Problems  1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 25, 27, 33, 35, 37, 43, 44, 45, 61, 63, 66 
6.5 Using Trigonometry to Solve Geometry Problems  1, 3, 7, 9, 11, 13, 17, 19, 23, 25, 27, 29, 33, 34, 35, 36, 37, 43, 45, 47 
7.1 Central Angles and Inscribed Angles  5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 47, 48, 48, 51, 52 
7.2 Chords of a Circle  1, 3, 5, 7, 11, 13, 15, 19, 21, 23, 24, 25, 27, 28, 32, 33, 34, 36, 37, 38, 43, 46 
7.3 Secants and Tangents  1, 3, 5, 11, 14, 15, 17, 19, 21, 23, 25, 26, 27, 29, 31, 32, 33, 34, 35, 38, 39 
8.1 Coordinates and Distance in the Plane  5, 6, 7, 9, 13, 17, 19, 20, 21, 23, 27 
8.2 Slope  11, 13, 17, 23, 27, 28, 29, 35 
8.3 Equations of Lines and Circles  1, 3, 5, 9, 11, 13, 15, 17, 23, 25, 27, 29, 31, 37, 39, 41, 43, 45 
9.1 Isometries and Congruence  3, 5, 11, 12, 13, 15, 25, 26, 35, 36, 39, 40, 41, 43, 45, 47, 48 
9.3 Problem Solving Using Transformations  1, 3, 4, 5, 7, 8, 25 
Class Presentations: Each of you will be called upon to make class presentations ten times during the semester. Sometimes these presentations will be about introducing a new concept to the class. Other times, the presentations will involve presenting an example that illustrates a new concept. They will always involve new concepts, which means that to prepare for them, you will need to learn material that has not yet been presented in class. You will always receive your presentation assignment at least a week before you have to make the presentation, and you are welcome to come and discuss your assignment with me in the week before your presentation. Please note that the Class Presentations cannot be madeup in the case of absence, because they involve material that is part of a class lesson plan.
The daily Class Presentation assignments can be found at the links in the course calendar below.
Websites with Useful Math Utilities: In lectures, I sometimes use a computer for graphing and calculating. The computer tools that I use are free online utilites that are easily accessible at the following link. (Link to free online Math Utilities) I use the same online utilities in my office, instead of a calculator. You are encouraged to use these same free online utilities instead of a calculator.
Student Resources (Tutoring and Supplemental Instruction (SI)): There are many mathrelated resources for students on the Athens Campus of Ohio University. For information, go to the following link. (Link to tutoring and SI resources)
Calendar for 2017  2018 Fall Semester MATH 2110
Week  Dates  Meeting Number  Class topics 

1  Mon Aug 28  1  1.1 ProblemSolving Strategies 
Wed Aug 30  2  1.2 More ProblemSolving Strategies (Presentation Assignments)  
Fri Sep 1  3 
2.1 Undefined Terms, Definitions, Postulates, Segments, Angles (Presentation Assignments)
(Quiz 1)


2  Mon Sep 4  none  Labor Day Holiday: No class 
Wed Sep 6  4  2.2 Polygons and Circles (Presentation Assignments)  
Fri Sep 8  5  2.3 Angle Measure in Polygons and Tessalations (Presentation Assignments)  
3  Mon Sep 11  6 
2.4 ThreeDimensional Shapes (Presentation Assignments)
(Quiz 2)

Wed Sep 13  7  2.5 Dimensional Analysis (Presentation Assignments)  
Fri Sep 15  8 
Exam 1 Covering Chapters 1  2


4  Mon Sep 18  9  3.1 Perimeter, Circumference, Area of Rectangles & Triangles (Presentation Assignments) 
Wed Sep 20  10  3.2 More Area Formulas (Presentation Assignments)  
Fri Sep 22  11  3.3 The Pythagorean Theorem and Right Triangles (Presentation Assignments)  
5  Mon Sep 25  12 
3.4 Surface Area (Presentation Assignments)
(Quiz 3)

Wed Sep 27  13  3.5 Volume (Presentation Assignments)  
Fri Sep 29  14  4.1 Reasoning and Proof in Geometry (Presentation Assignments)  
6  Mon Oct 2  15 
4.2 Triangle Congruence Relations (Presentation Assignments)
(Quiz 4)

Wed Oct 4  16  4.3 Problem Solving Using Triangle Congruence  
Fri Oct 6  17  4.3 Problem Solving Using Triangle Congruence  
7  Mon Oct 9  18 
Exam 2 Covering Chapters 3  4 (Except 4.4)

Wed Oct 11  19  5.1 Indirect Reasoning and the Parallel Postulate (Presentation Assignments)  
Fri Oct 13  20  5.2 Important Theorems Based on the Parallel Postulate (Presentation Assignments)  
8  Mon Oct 16  21 
5.2 Important Theorems Based on the Parallel Postulate
(Quiz 5)

Wed Oct 18  22  5.3 Parallelograms and Rhombuses (Presentation Assignments)  
Fri Oct 20  23  5.4 Rectangles, Squares, and Trapezoids (Presentation Assignments) (Molly's Solutions)  
9  Mon 23  24 
6.1 Ratio and Proportion (Presentation Assignments)
(Quiz 6)

Wed Oct 25  25  6.2 Similar Triangles (Presentation Assignments)  
Fri Oct 27  26  6.3 Applications of Similarity (Presentation Assignments)  
10  Mon Oct 30  27 
6.4 Using Right Triangle Trigonometry to Solve Geometry Problems (Presentation Assignments)
(Quiz 7)

Wed Nov 1  28  6.5 Using Trigonometry to Solve Geometry Problems  
Fri Nov 3  29 
Exam 3 Covering Chapters 5  6


11  Mon Nov 6  30  7.1 Central Angles and Inscribed Circles 
Wed Nov 8  31  7.2 Chords of a Circle (Presentation Assignments)  
Fri Nov 10  none  Veterans Day Holiday: No Class  
12  Mon Nov 13  32 
7.3 Secants and Tangents (Presentation Assignments)
(Quiz 8)

Wed Nov 15  33  7.3 Secants and Tangents (Presentation Assignments)  
Fri Nov 17  34  8.1 Coordinates and Distance in the Plane (Presentation Assignments)  
13  Mon Nov 20  35 
8.2 Slope (Presentation Assignments)
(Quiz 9)(Quiz Info)

Wed Nov 22  none  Thanksgiving Break: No Class  
Fri Nov 24  none  Thanksgiving Break: No Class  
14  Mon Nov 27  36  8.3 Equations of Lines and Circles 
Wed Nov 29  37  8.3 Equations of Lines and Circles (Presentation Assignments)  
Fri Dec 1  38 
Exam 4 Covering Chapters 7  8


15  Mon Dec 4  39  9.1 Isometries and Congruence (Presentation Assignments) 
Wed Dec 6  40  9.1 Isometries and Congruence (Presentation Assignments)  
Fri Dec 8  41 
9.3 Problem Solving Using Transformations (Presentation Assignments)
(Quiz 10)


16  Fri Dec 15  Final  Final Exam 8:00am  10:00am in Morton 318 (Exam Info) 
page maintained by Mark Barsamian, last updated Dec 11, 2017