NEWTON-RAPHSON METHOD AND ROOTS OF POLYNOMIAL FUNCTIONS USING TECHNOLOGIES IN A DIDACTIC SEQUENCE IN HIGH SCHOOL.
Newton's method. Polynomial functions. Didactic sequence.
The present work presents a didactic sequence elaborated and applied in a second year of high school and uses the Newton-Raphson Method to obtain the approximation of roots of polynomial functions of different degrees. As tools to assist in this endeavor, some Digital Technologies in Education were used, through the Geogebra software and Microsoft Excel spreadsheets, as well as their respective applications for the construction of graphs and spreadsheets (GEOGebra and Excel). Thus, it can be seen that the use of Didactic Sequences in mathematics classes, in this work specifically in the study of the roots of polynomial functions and Newton's Method, is an enriching and satisfying teaching possibility. It is also noticed that the use of educational technologies is a strong ally in the resolution of several mathematical problems, enabling studies of contents a little more advanced than those regularly presented in High School, as in the present work.