| Course Type | Compulsory Course |
|---|
| Course Level | Bachelor's Degree |
|---|
| Year of Study | 1 |
|---|
| Semester | Second Term (Spring) |
|---|
| ECTS | 6 |
|---|
| Name of Lecturer(s) |
|
| Learning Outcomes |
At the end of this course, the students;
- Know and express the basic concepts of geometry.
- Will be able to analyse and synthesise between these concepts and express their proofs in mathematics.
- Will be able to make geometry applications related to the results, concepts and theorems.
|
| Mode of Delivery | Face to face |
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| Prerequisites | No |
|---|
| Recommended Optional Programme Components | No |
|---|
| Course Description | Definition, structure and use of geometry in real life. Axiom, undefined concept, theorem, Euclidean and non-Euclidean geometries, basic axioms of Euclidean geometry are discussed. Relationships between point, line and plane concepts, angle concept, types, congruence and congruence axioms of angles, applications related to angles, definition of polygon concept, definition of triangle concept, triangle types, basic and auxiliary elements of triangle, congruence axioms and theorems related to triangles, similarity theorems related to triangles, theorems about geometric concepts such as trapezoid, parallelogram, rhombus, rhombus, rectangle, square, deltoid are proved. Applications related to quadrilaterals are given. Circle and circle concepts, theorems and applications related to angle and length in circle and circle, properties of objects in space, area and volume of solid objects. |
|---|
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
Undefined concepts in Euclidean geometry, axioms and theorems |
|
2nd Week |
Point, line, plane and position axioms |
|
3rd Week |
Axioms of congruence for line segments and angles |
|
4th Week |
Congruence of triangles, congruence axioms and congruence theorems |
|
5th Week |
Similarity in triangles and applications of theorems |
|
6th Week |
Definitions and classification of polygons |
|
7th Week |
Definitions and classification of quadrilaterals. |
|
8th Week |
Midterm |
|
9th Week |
Properties of quadrilaterals and related theorems |
|
10th Week |
Applications related to quadrilaterals |
|
11th Week |
Theorems about circle and circle concept and applications |
|
12th Week |
Theorems about circle and circle concept and applications |
|
13th Week |
Areas and volumes in space |
|
14th Week |
Areas and volumes in space |
|
15th Week |
General review |
|
| Recommended or Required Reading | Hacisalihoğlu H. H. (2001): Geometri 1, Geometri 2, Geometri 3, Serhat yayınları, İstanbul.
Demir Hüseyin Euclid Geometrisi, cilt 1
Musser, L.G., Burger, W.F. (1997): Mathematics for Elementary Teachers, Prentice Hall. |
|---|
| Planned Learning Activities and Teaching Methods |
- Lecture
- Questions/Answers
|
|---|
| Assessment Methods and Criteria |
|
Quantity |
Percentage (%) |
| Mid-term |
1 |
40 |
| Assignment |
1 |
10 |
| Total(%) |
|
50 |
| Contribution of In-term Studies to Overall Grade(%) |
|
50 |
| Contribution of Final Examination to Overall Grade(%) |
|
50 |
| Total(%) |
|
100 |
|
| ECTS Allocated Based on Student Workload |
| Activities |
Quantity |
Duration (Hour) |
Total Workload (Hour) |
| Midterm exam |
1 |
2 |
2 |
| Preparation for Quiz |
|
|
|
| Individual or group work |
13 |
4 |
52 |
| Preparation for Final exam |
1 |
35 |
35 |
| Course hours |
13 |
3 |
39 |
| Preparation for Midterm exam |
1 |
35 |
35 |
| Laboratory (including preparation) |
|
|
|
| Final exam |
1 |
2 |
2 |
| Homework |
1 |
15 |
15 |
| Total Work Load | 180 |
| Total Work Load / 30 (h) | 6 |
| ECTS Credit of the Course | 6 |
|
| Language of Instruction | Turkish |
|---|
| Work Placement(s) | No |
|---|
