Uma proposta para encontrar raízes de funções utilizando os métodos numéricos da bisseção e de Newton-Raphson no ensino médio

Abstract

In this work, we present a proposal for teaching the numerical methods of bisection and Newton-Raphson for high school students. Initially, we study some ways to find real roots of polynomial functions. Posteriorly, we superficially approach the concept of continuous functions and intuitively describe the Intermediate Value Theorem. Finally, we present numerical methods without use the formal concept of derivative as learned in higher education. In the applications of each method, we use the iterative process to find approximate solutions and compare these results with those found in the Geogebra software. Analyzing the results, we can verify which was the most efficient method.