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Students from the fifth grade discovered geometric figures in real life: architecture, painting, nature. They calculated measures of angles, perimeters and areas.

Sixth graders discovered properties of geometric figures, important lines in the triangle, congruent triangles, ratios and proportions in Fibonacci spirals (the one based on the Golden Rectangle - built of squares with sides of 1, 1, 2, 3, 5, ... and the one based on the Golden Triangle), in paintings or in architecture, nature. Symmetry has been an intensely debated topic, experienced under the theme "Symmetry in real life". Students applied their knowledge in creating drawings, animations in GeoGebra or created worksheets on this generous theme.

Students in grades 7-11 practiced trigonometry applied in the activity "Trigonometry in real life". They worked together in the GeoGebra classroom to solve a test with trigonometra applied problems. They created and solved problems on the topic Applications of trigonometry in physics, geography, engineering, architecture, ... in which they used the properties of trigonometric functions, Sine theorem, Cosine theorem.

All students (grades 5-11) created and solved problems, in international teams, according to their level of knowledge, in the activities "Golden Ratio calculation" and "Geometry through calculations". Students also created worksheets in which they proposed problems on the topic "Geometry in my country".

High school students used analytic geometry to find equations of lines, modeled silhouettes of buildings with graphs of learned functions (functions: linear, quadratic, exponential, logarithmic, trigonometric).

Students of grades 10-11 studied graph symmetry properties for bijective functions and their inverses; They also studied the relationship between the parity of a function and axial, central symmetry.

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Curriculum Integration for eTwninning project S.T.A.R.T

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Curriculum Integration for eTwninning project S.T.A.R.T

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1) Draws two-dimensional views of three-dimensional objects from different directions.

2) It creates structures whose drawings are given regarding their views from different directions.

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1)Recognizes rectangle, parallelogram, trapezoid and rhombus; determines the angle properties.

2)Creates area relations of rhombuses and trapezoids and solves related problems.

3)Explains the side and angle properties of regular polygons.

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1) Determines whether two quantities are proportional by examining real life situations.

2)It expresses the relationship between two directly proportional quantities. It is taken into account that there is a multiplication-based relationship between directly proportional quantities.

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In the following teaching units the eTwinning project has been worked on in a transversal way:

UNIT 1. Algebra
UNIT 2. Solving equations
UNIT 3. Simultaneous equations
UNIT 4. Pythagoras’ Theorem. Areas
UNIT 5. Similar Shapes
UNIT 6. 3D Shapes
UNIT 7. Volume. Converting units
UNIT 8. Graphs
UNIT 9. Probability and Statistics
UNIT 10. Integers. Powers and Roots
UNIT 11. Decimals & Fractions
UNIT 12. Ratio and proportion

Thanks to the project we have worked on mathematical concepts in a new and attractive way for students.

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Connection of the project with the subject of Mathematics 2nd ESO

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Connection of the project with the subject of Mathematics 2nd ESO

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November: Cooperative work on the golden ratio and its applications in Nature.

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Secondary school mathematics proggramme abilities 

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Secondary school mathematics proggramme abilities 

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The project is connected with competence rules of 8.
It says Cultural awareness and expression: A variety of activities, including music, performing arts, literature and visual arts the importance of creative expression of opinions, experiences and emotions using mass media It is discretionary.
Also aim of the mathematics proggramme says Will be able to understand mathematical concepts and use these concepts in daily life.
Another aim is By using the meaning and language of mathematics, the relationships between people and objects and the relationships of objects with each other are discussed. will be able to make sense of them. Also it is connected with Will be able to improve their ability to conduct research, produce and use information. he treatment of mathematics with art and aesthetics can be noticed.

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8th grade (13-15 years old)