Razão Áurea: a sequência de fibonacci e aplicações

Abstract

This work investigates the relationship between the golden number and the Fibonacci sequence, exploring practical applications and proposing didactic sequences for teaching the golden ratio in basic education. Using bibliographical research, of a qualitative and exploratory nature, based on data collection in books, articles, periodicals, reference magazines, websites and other relevant sources about the golden number, the Fibonacci sequence and teaching strategies and in reference authors who deal with the subjects covered here. The study addresses the history and applications of the golden ratio in geometry, trigonometry, nature and art, in addition to proving its relationship with the Fibonacci sequence. Finally, models of didactic sequences are presented to enrich the Mathematics curriculum in High School and improve students' qualifications in practical activities and with the use of illustrations as a way of facilitating their understanding from a study that aims to substantiate and enrich this analysis