Modelagem matemática no estudo da função exponencial no crescimento do bolor (mofo) do pão

Abstract

This experience aims to present the development of a classroom application of mathematical modeling involving the theme: mathematical modeling in the exponential function in the study of mold (mold) in bread. The study was carried out with students of 1st A and B and 2nd B, from the State School José Glicério, Jaboatão dos Guararapes - PE, with the objective of teaching the exponential function. Initially, I went into the problem of stimulating the proliferation of fungi in bread, presenting two breads, of which only one was humidified and the other remained in the same state. This process was carried out with the aid of a cotton swab with the ends humidified with water, the next step was the placement of each bread in the beautiful bag of freezing products. Reinforcing the need to store the breads in different places, the first (humid) will be in a closed place as a closet or drawer, while the second in an open place and with cover, can be a service area or garage. Mathematical modeling emerges as a challenging proposal, where through the procedures provided, with examples in table room and graphs students will have to follow the evolution of the fungi colony in bread, for 5 days. In this proposal, most students will build a table for each bread, with the following variables: Days, Fungus proliferation, coordinates and area. Then, with the data from the tables constructed in the Cartesian plane, the graphs where the x-axis represents the days and the y axis the proliferation of fungi, in most of the students' evolution through the graph corresponding to the humidified bread generated an exponential function.