Modelagem matemática e a bicicleta: alguns conteúdos matemáticos para o ensino médio

Abstract

According to the guidelines of the BNCC (BRASIL, 2018), for the teaching of mathematics, it is recommended that contents be taught based on topics that are relevant to the daily lives of students, using diverse teaching methodologies that favor their participation and autonomy. With that in mind, a survey was made of the points that ensure that Mathematical Modeling can be used as a methodology, aiming at the concepts of some authors. In addition, this study presents mathematics content for high school, describing possibilities of how to work with some bicycle components through the approach of Mathematical Modeling as a teaching methodology. To this end, some official documents were analyzed, such as the BNCC (BRASIL, 2018) and the Curriculum Reference for Secondary Education in Paraná (PARANÁ, 2021) on New Secondary Education, about how to work with mathematics content. Taking the methodology of Mathematical Modeling as a basis, a survey of the bibliographic reference on Mathematical Modeling and how to treat it in the classroom in High School classes was then presented; a description was made of how to relate some of the components of the bicycle with the mathematical contents of high school, and finally some possibilities are presented in the form of a lesson plan on how to approach some specific mathematics contents, such as functions of the first grade and metric relations in the right triangle, using Mathematical Modeling as a methodology based on the Bicycle theme.