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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
IMO 104GEOMETRY3 + 02nd Semester4

COURSE DESCRIPTION
Course Level Associate's Degree
Course Type Compulsory
Course Objective The goal is to help prospective mathematics teachers acquire a deep understanding of and appreciation for geometry. In this course students will be able to understand the foundation blocks for the structure of geometry, axioms, and theorems; construct geometric concepts through inductive approach; analyze geometric relationships; make logical deductions through geometric reasoning; develop geometric proof skills; understand the fundamental ideas of non-Euclidean geometries; investigate geometric concepts and relationships by using dynamic geometry software, compass, protractor, straightedge, symmetry mirror, patty papers, folding geometric shapes, pattern blocks etc.; and develop positive attitude toward geometry
Course Content Definitions and real life usage of geometry. Axioms, undefined concepts and theorem. Euclidean geometry and non-Euclidean geometries, fundamental axioms of Euclid geometry. The relationships among point, line and plane. Angle, types of angle, axioms of equivalence and congruence of angles, applications of angles. Definitions of polygon. Definitions of triangle, types of triangle, elements of triangle, axioms and theorems of equivalence of triangle, theorems on congruence of triangle and their applications. Proofs of theorems on trapezoid, parallelogram, rhombus, rectangle, square, kite. Applications of quadrilaterals. Ring and circle, Theorems and their proofs on circle, applications of circle, properties of solids in space, applications on surfaces and volumes of solids. .
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1 Students should explain the structure of Euclidean geometry
2 Students should explain the relationships between point, line, and plane
3 Students should explain angle concept and types
4Students should explain the properties of geometric shapes
5 Students should determine basic elements of geometrics solids and their nets
6 Students should solve problems related to angles, polygons, congruence, similarity, circle, and solids
7 Students should prove theorems related to angels, perpendicularity, parallelism, circle, and polygons
8 Students should do geometric constructions by using compass and straightedge
9 Students should construct the image of a shape resulting from a geometric transformation
10 Students should make tessellations using reflection, translation, and rotation
11 Students should create a fractal design
12 ) Students should make orthographic drawing of a solid
13 Students should draw isometric view of a 3-D object given as an orthographic drawing
14 Students should compare the axioms of Euclidean and non-Euclidean geometries
15 Students should use tools, such as dynamic geometry software, compass, protractor, straightedge, symmetry mirror, patty papers, folding geometric shapes, pattern blocks etc., to explore geometric concepts and relationships
16 Students should appreciate the importance of using dynamic geometry software and manupilatives in exploring geometric concepts and relationships
17 Students should demonstrate positive attitude towards geometry

COURSE'S CONTRIBUTION TO PROGRAM
Data not found.

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Hours for off-the-classroom study (Pre-study, practice)14342
Mid-terms11010
Final examination11010
Total Work Load

ECTS Credit of the Course






104

4
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2023-2024 Spring2ERGİN DÖNMEZ
Details 2022-2023 Spring2ERGİN DÖNMEZ


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
IMO 104 GEOMETRY 3 + 0 2 Turkish 2023-2024 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Lecturer ERGİN DÖNMEZ ergind@pau.edu.tr ÇMYO A0023 %70
Goals The goal is to help prospective mathematics teachers acquire a deep understanding of and appreciation for geometry. In this course students will be able to understand the foundation blocks for the structure of geometry, axioms, and theorems; construct geometric concepts through inductive approach; analyze geometric relationships; make logical deductions through geometric reasoning; develop geometric proof skills; understand the fundamental ideas of non-Euclidean geometries; investigate geometric concepts and relationships by using dynamic geometry software, compass, protractor, straightedge, symmetry mirror, patty papers, folding geometric shapes, pattern blocks etc.; and develop positive attitude toward geometry
Content Definitions and real life usage of geometry. Axioms, undefined concepts and theorem. Euclidean geometry and non-Euclidean geometries, fundamental axioms of Euclid geometry. The relationships among point, line and plane. Angle, types of angle, axioms of equivalence and congruence of angles, applications of angles. Definitions of polygon. Definitions of triangle, types of triangle, elements of triangle, axioms and theorems of equivalence of triangle, theorems on congruence of triangle and their applications. Proofs of theorems on trapezoid, parallelogram, rhombus, rectangle, square, kite. Applications of quadrilaterals. Ring and circle, Theorems and their proofs on circle, applications of circle, properties of solids in space, applications on surfaces and volumes of solids. .
Topics
WeeksTopics
1 What is the geometry?Historical
2 Eucliden geometry
3 Angles
4 Geometric drawings
5 Polygons
6 Triangels
7 Triangels
8 Midterm exam
9 trapezoid,parallelogram,rectangle
10 rhombus,square, deltoid
11 circle
12 spatial shapes
13 transformation geometry
14 grace note
Materials
Materials are not specified.
Resources
ResourcesResources Language
Türkçe
Türkçe
Course Assessment
Assesment MethodsPercentage (%)Assesment Methods Title
Final Exam60Final Exam
Midterm Exam40Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes