Campus:Ohio University, Athens Campus
Department:Mathematics
Academic Year:2012 - 2013
Term:Fall Semester
Course:Math 2110
Title:Introductory Geometry for Middle School Teachers
Section:100 (Class Number 2148)
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.

Class Meets: Monday, Wednesday, Friday 7:30am - 8:25am in Morton 223

Course Description: Intended for middle childhood education majors. Core concepts and principles of Euclidean geometry in two- and three-dimensions. 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 non-Euclidean 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

Syllabus: The printed syllabus handed out on the first day of class has been modified. The original syllabus and the modified versions may be found at the following link: (syllabus). Note that all of the information on the syllabus is also shown on this web page.

Textbook Information
Title:Geometry Connections click on the book to see a larger image
click to enlarge
Author:John K. Beem
Publisher:Pearson Education, 2006
ISBN:0-13-144926-5

Grading: During the semester, you will accumulate points:

Written Homework (best 25 of 32 assignments, 4 points each):100 points possible
In-Class Exams (best 3 of 4 exams, 200 points each):600 points possible
Cumulative Final Exam:300 points possible
Total:1000 points possible

At the end of the semester, your Total will be converted to your Course Grade:

Total ScorePercentageGradeInterpretation
900 - 100090% - 100%AYou mastered all concepts, with no significant gaps
850 - 89985% - 89.9%A-
800 - 84980% - 84.9%B+You mastered all essential concepts and many advanced concepts, but have some significant gaps.
750 - 79975% -79.9%B
700 - 74970% - 74.9%B-
650 - 69965% - 69.9%C+You mastered most essential concepts and some advanced concepts, but have many significant gaps.
600 - 64960% - 64.9%C
550 - 59955% - 59.9%C-
400 - 43940% - 54.9%DYou mastered some essential concepts.
0 - 3990% - 39.9%FYou did not master essential concepts.

Textbook Readings and Homework: The schedule is shown below. Notice that you are assigned to read a textbook section and do the homework problems for that section before we discuss the section in class. Notice also that the homework is always due at the start of class. I will accept early homework, but I not accept late homework for any reason.

Class Meetings: It is not my intention to deliver all the mathematical content of the course to you by lecturing during class. (You will learn much of the mathematical content by reading the textbook and doing homework problems before class.) In class, I will lecture some and you will work in groups to discuss and solve problems.

Exams: The exams will be partly made up of exercises from the textbook. This includes the exercises that you are assigned for homework and also exercises that are not assigned but that deal with concepts that this course covers. The exams will also be made up of content from classroom discussions and activities.

Attendance: Students who are absent more than six times will automatically fail the course. It does not matter whether you are absent because you are sick, taking part in an Ohio University activity, tending to a personal or family emergency, or simply skipping class. Six is the number. If you miss a class, it is your responsibility to copy a classmate's notes and study them. I will not use office hours to teach topics discussed in class to students who were absent.

Outside Activities: A university offers many opportunities in addition to courses, and I encourage you to take advantage of these. But be careful about taking on activities that conflict with class meetings or interfere with your studying, even if they are "Approved University Activities". Those terms simply refer to activities that are run by Ohio University departments or organizations. The fact that an activity is run by a university department or organization does not mean that it is somehow a substitute for class time or class work. This course is designed so that if you read the textbook, do the homework, attend class, and take the exams, you will have a very good chance of getting a good grade. Any outside activity that interferes with your attendance or your studying for this class will affect your performance on homework and exams and will thus affect your course grade. If you are taking part in an activity that will cause you to miss class, it is important that you discuss this absence with me in advance to determine whether or not you will be eligible to make-up an exam that may be scheduled on that day. I will never offer a make-up exam for an activity-related absence that was not discussed with me in advance.

Tentative Schedule (Revised Version, posted Thursday, November 8, 2012): This schedule is only tentative. Homework and exam dates may change as the semester proceeds, either because of weather delays or because of changes in the pace of the class.

WeekDateReading to do
before class
Homework due at start of class
(Must Show work!)
Class topics
1Mon Aug 27  Course Introduction; Section 1.1
Wed Aug 29Section1.1,1.2H1: 1.2 # 5, 6, 8Section 1.2 (Group Work: Truth Tables)
Fri Aug 31Section 1.3H2: 1.3 # 5, 6, 7Section 1.3
2Mon Sep 3  Labor Day Holiday: No Class
Wed Sep 5Section 1.4H3: 1.4 # 2, 4, 6Section 1.4
Fri Sep 7Section: 1.5H4: 1.5 # 4, 6Section 1.5 (Group Work: Method of Eratosthenes)
3Mon Sep 10Chapter 1H5: Ch 1 Review # 1, 2, 4, 8, 12Chapter 1 Review
Wed Sep 12  In-Class Exam 1 Covering Chapter 1
Fri Sep 14Section 2.1H6: 2.1 # 2, 4, 6Section 2.1
4Mon Sep 17Section 2.1H7: 2.1 # 8, 10, 12Section 2.1
Wed Sep 19Section 2.1 Section 2.1
Fri Sep 21Section 2.2H8: 2.2 # 4, 5, 6, 8Section 2.2
5Mon Sep 24Section 2.3H9: 2.3 # 2, 4, 6Section 2.3
Wed Sep 26Section 2.4H10: 2.4 # 1, 6, 7Section 2.4
Fri Sep 28Section 2.5H11: 2.5 # 2, 3, 4Section 2.5
6Mon Oct 1Section 2.6H12: 2.6 # 6, 7, 11Section 2.6
Wed Oct 3Section 2.6H13: 2.6 # 8, 12, 14aSection 2.6
Fri Oct 5Chapter 2H14: Ch 2 Review # 2, 6, 11, 14,24Chapter 2 Review
7Mon Oct 8  In-Class Exam 2 Covering Chapter 2
Wed Oct 10Section 3.1H15: 3.1 # 2, 10, 12, 14Section 3.1
Fri Oct 12Section 3.2H16: 3.2 # 2, 4, 6Section 3.2
8Mon Oct 15Section 3.3H17: 3.3 # 8, 12Section 3.3 Pythagorean Theorem
Wed Oct 17Section 3.3H18: 3.3 # 2, 4, 6Section 3.3 Laws of Sines, Cosines
Fri Oct 19Section 3.4H19: 3.4 # 2, 6, 7Section 3.4 (Group Work: Coordinate Transformations)
9Mon Oct 22Section 3.5H20: 3.5# 4, 6, 10Section 3.5
Wed Oct 24Chapter 3H21: Ch 3 Review # 4,10,16,30,34Chapter 3 Review
Fri Oct 26  Chapter 3 Review (Group Work: Law of Sines) (Group Work: Similarity)
10Mon Oct 29  In-Class Exam 3 Covering Chapter 3
Wed Oct 31Section 4.1H22: 4.1 # 2, 6, 8Section 4.1 (Group Work: Reflections)
Fri Nov 2Section 4.2H23: 4.2 # 4, 6, 8Section 4.2
11Mon Nov 5Section 4.3H24: 4.3 # 2, 4Section 4.3
Wed Nov 7Section 4.3 Section 4.3
Fri Nov 9Section 4.3H25: Ch 4 Review # 4, 8,12Section 4.3 (Group Work: Dihedral Groups)
12Mon Nov 12  Veterans Day Holiday: No Class
Wed Nov 14Chapter 4H26: Ch 4 Review # 16, 18Chapter 4 Review (Group Work: Breaking Symmetry)
Fri Nov 16  In-Class Exam 4 Covering Chapter 4
13Mon Nov 19Section 5.1H27: 5.1 # 2, 4, 8Section 5.1
Wed Nov 21  Thanksgiving Break: No Class
Fri Nov 23  
14Mon Nov 26Section 5.2H28: 5.2 # 2, 4, 6Section 5.2
Wed Nov 28Section 5.3H29: 5.3 # 2, 4, 16Section 5.3
Fri Nov 30Section 5.3H30: 5.3 # 6, 10, 18Section 5.3
15Mon Dec 3Section 5.4H31: 5.4 # 2, 4, 8, 10Section 5.4
Wed Dec 5Chapter 5H32: Ch5 Review # 20,24,26,32,34Section 5.4
Fri Dec 7Chapter 5 Chapter 5 Review
16Mon Dec 10Cumulative Final Exam 8:00am - 10:00am in Morton 223
The final exam will consist of ten problems.
  • Six problems from Chapters 1 - 4. These will be drawn from the following sources:
    • Homeworks 1 - 26
    • In-Class Exams 1 - 4
    • Class Drills that cover topics from Chapters 1 - 4
  • Four problems from Chapter 5 Sections 1,2,3,4. These will be drawn from the following sources.
    • Textbook exercises (not just homework exercises) from Chapter 5 Sections 1,2,3,4 and the Chapter 5 Review Section
    • Class Drills that cover topics from Chapter 5
    • There may be addition, subtraction, scalar multiplication, and matrix multiplication involving general-sized matrices. But determinants and inverses will only involve 2x2 matrices, nothing larger. So be sure to be familiar with the formulas for the determinant and inverse of 2x2 matrices, and be sure to not spend time studying the general formulas for determinant and inverse of larger matrices.


(page maintained by Mark Barsamian, last updated July 2013)