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Keywords:

geometrical constructions

triangles

parallel

perpendicular lines

perpendicular bisector

angle bisector

height

median line

Thales theorem

dynamic geometry system

DGS

cinderella

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Number of Lessons:

0

Duration / Typical Learning Time:

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Development of Skills:

Translating a textual description of a construction process into the "doing" of the construction as "revised construction process" is considered in math education an important step in understanding the properties of the mathematical constructs like parallel and perpendicular lines, perpendicular bisector, angle bisectors, heights, median lines in triangles, and the Thales theorem.
Communicating mathematically in the mother tongue and in a foreign language help to better understand the mathematical concepts and widen their vocabulary in the foreign language.
Using dynamic geometry systems to construct triangles helps to develop mathematical concepts and also enables the teacher to diagnose whether the concepts are really understood or only learned by heart.

The aims of the learning units are for the students to: draw and construct geometrical shapes using appropriate tools like compass, straightedge, protractor or dynamic geometry systems; deepen their understanding of the properties of parallel or perpendicular lines, perpendicular bisectors, angle bisectors, heights, median lines in triangles, the Thales theorem through constructing triangles; apply their knowledge of properties of parallel or perpendicular lines, perpendicular bisectors, angle bisectors, heights, median lines in triangles, the Thales theorem for solving geometrical and real world problems; communicate mathematically - and in foreign languages - using the description of the construction processes.