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COURSE UNIT TITLECOURSE UNIT CODESEMESTERTHEORY + PRACTICE (Hour)ECTS
GEOMETRY EMT106 Second Term (Spring) 3 + 0 6

TYPE OF COURSE UNITCompulsory Course
LEVEL OF COURSE UNITBachelor's Degree
YEAR OF STUDY1
SEMESTERSecond Term (Spring)
NUMBER OF ECTS CREDITS ALLOCATED6
NAME OF LECTURER(S)Professor Şeyda Kılıçoğlu
LEARNING OUTCOMES OF THE COURSE UNIT 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 DELIVERYFace to face
PRE-REQUISITES OF THE COURSENo
RECOMMENDED OPTIONAL PROGRAMME COMPONENTNo
COURSE DEFINITIONDefinition, 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
WEEKTOPICS
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 READINGHacisalihoğlu 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 METHODSLecture,Questions/Answers
ASSESSMENT METHODS AND CRITERIA
 QuantityPercentage(%)
Mid-term140
Assignment110
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 exam122
Preparation for Quiz
Individual or group work13452
Preparation for Final exam13535
Course hours14342
Preparation for Midterm exam12525
Laboratory (including preparation)
Final exam122
Homework11010
Total Workload168
Total Workload / 305,6
ECTS Credits of the Course6
LANGUAGE OF INSTRUCTIONTurkish
WORK PLACEMENT(S)No
  

KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO)
LO1LO2LO3
K1     
K2     
K3     
K4     
K5  X   X   X
K6  X     X
K7     
K8    X   X
K9      X
K10  X     X