At the end of this course, the students; 1) The foundation of geometry knows and can express hand concepts. 2) Can analyze and synthesize between these concepts and express their proofs in mathematics. 3) To be able to make geometry applications related to the result concepts and theorems.
MODE OF DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
No
COURSE DEFINITION
Definition, structure and use of geometry in real life. Axiom, undefined concept, theorem. Euclidean and non-Euclidean geometries, basic axioms of Euclidean geometry. Relations between point, line and plane concepts. Angle concept, types, congruence of angles and congruence axioms, applications related to angles. Definition of the concept of polygon. Definition of triangle, types of triangles, basic and auxiliary elements of triangle, congruence axioms and theorems about triangles, similarity theorems about triangles, proving theorems about geometric concepts such as trapezoid, parallelogram, rhombus, rectangle, square, deltoid. Applications related to quadrilaterals. Concepts of circle and circle, theorems and applications about angle and length in circle and circle. Properties of objects in space, applications of 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 exam
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
General review
RECOMENDED 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 WORKLOAD
Activities
Number
Hours
Workload
Midterm exam
1
2
2
Preparation for Quiz
Individual or group work
13
4
52
Preparation for Final exam
1
35
35
Course hours
14
3
42
Preparation for Midterm exam
1
25
25
Laboratory (including preparation)
Final exam
1
2
2
Homework
1
10
10
Total Workload
168
Total Workload / 30
5,6
ECTS Credits of the Course
6
LANGUAGE OF INSTRUCTION
Turkish
WORK PLACEMENT(S)
No
KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO)