A proposal to find roots of functions using the numerical methods of bisection and Newton-Raphson in high school.
Function Roots, Continuous Functions, Numerical Methods and Applications
In this work, we will present a proposal for teaching the numerical methods of bisection and Newton-Raphson for high school students. Initially, we will study some ways to find real roots of polynomial functions. Later, we will superficially approach the concept of continuous functions and intuitively describe the Intermediate Value Theorem. Finally, we will present numerical methods without using the formal concept of derivative as learned in higher education. In the applications of each method, we will use the corresponding iterative process to find approximate solutions and compare these results with those found in the Geogebra software.