O estudo de simetrias com frisos e questões da OBMEP
Resumen
This work handles topics involving geometric transformations and friezes for the
study of symmetry. It aimed to present students from the Ninth Grade of a
public school in São Paulo State activities, in order to enrich them scientifically,
culturally; sharpening their curiosity and critical reasoning. For this, a series of
activities related to the theme symmetry was developed: first of all, students
solved questions on a diagnosing sheet of paper about translation, reflection
and rotation movements on the plan, followed by a slide presentation of these
same topics. Then, they watched a video about Alhambra Palace in Spain to
motivate them to study the symmetries in decorative friezes. Students solved
various problems of OBMEP involving symmetrical situations and they ended
up the work building seven patterns of friezes. The analysis of these solutions is
presented in order to verify whether there was a contribution to the learning of
geometric transformations related to symmetries. Such analysis is based on the
researcher’s experience and also on testimonials from the participants.