| 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 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
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.
click to enlarge
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
- send me an e-mail before the quiz/exam, telling me that you are going to miss it because of illness, then
- then go to the Hudson Student Health Center.
- Later, you will need to bring me documentation from Hudson showing that you were treated there.
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 make-up. 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 make-up.
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 make-up 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 |
| In-Class 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 Three-Dimensional 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 made-up 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 math-related 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
Number
page maintained by Mark Barsamian , last updated Dec 11, 2017