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.
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 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
Week | Dates | Meeting Number | Class topics |
---|---|---|---|
1 | Mon Aug 28 | 1 | 1.1 Problem-Solving Strategies |
Wed Aug 30 | 2 | 1.2 More Problem-Solving 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 Three-Dimensional 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