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O presente trabalho apresenta o relato de uma atividade pratica desenvolvida com alunos do Ensino Medio, visando a compreensao e a representacao de conceitos geometricos e trigonometricos presentes em situacoes da vida cotidiana dos estudantes. A intervencao didatica foi desenvolvida por bolsistas do Programa Institucional de Bolsas de Iniciacao a Docencia (Pibid), discentes de Licenciatura em Matematica, e pelo professor supervisor de area, que tambem era o docente titular da turma. Sua realizacao aconteceu em uma Escola Estadual, localizada na cidade de Cuite/PB, em uma turma do segundo ano do Ensino Medio, nos meses de julho e agosto de 2015. Com auxilio do instrumento teodolito e dos conceitos trigonometricos, os alunos conseguiram medir alturas inacessiveis de algumas estruturas que faziam parte da cidade em que residiam e da escola em que estudavam, percebendo, com isso, a importância das relacoes trigonometricas para a determinacao das alturas encontradas. Observou-se que a demonstracao da formula utilizada para mensurar as alturas contribuiu para que os alunos compreendessem conceitos geometricos e trigonometricos. Alem disso, entende-se que a experiencia relatada reforca a importância do uso de diversos instrumentos de medidas, como o teodolito, nas aulas de Matematica do Ensino Medio. Eles favorecem o processo educativo dos referidos conceitos, visto que possibilitam a contextualizacao de seu ensino em situacoes presentes na rotina dos alunos e dinamizam a acao docente. Palavras-chave: Altura. Trigonometria. Geometria. Teodolito. Abstract This work reports a practical activity developed with students of High School, aiming at comprehending and representing geometric and trigonometric concepts experienced in situations of students’ daily life. The didactic intervention was developed by grant holders from the Institutional Program of Scholarship for teaching initiation (Pibid), undergraduate students in Mathematics, and the area supervisor, who was also the class teacher. It took place in a Public State School, located in the city of Cuite / PB, in a second year class of the Secondary School,  in the months of July and August of 2015. With the aid of the instrument theodolite and trigonometric concepts, the students were able to measure inaccessible heights of some structures that were part of the city where they lived and the school where they studied, thereby realizing the importance of trigonometric relations for determining the heights found. It was noted that the demonstration of the formula used to measure the heights contributed for the students to understand geometric and trigonometric concepts. In addition, it is understood that the reported experience reinforces the importance of the use of different instruments of measures, such as the theodolite, in High School Mathematics classes. They are helpful in the educational process of acquiring these concepts, since they allow the contextualization of their teaching in situations that are part of the students’ routine and dynamize the teaching activity. Keywords: Height. Trigonometry. Geometry. Theodolite.

Desvendando Alturas Inacessíveis Por Meio do Teodolito e da Trigonometria