Abstract
he aim of this work is to analyze the teaching materials of Dante e Viana (2008) and Iezzi e Hazzan (2019), indicated for Basic Education by the National Textbook Program (PNLD), with the help of the filing methodology. From this analysis, from the perspective of the skills found in the Common National Curriculum Base (BNCC), [EM13MAT305] and [EM13MAT315] and in the problem solving method developed by Polya (1995), we elaborated a didactic sequence with the proposal to help and guide high school teachers in the content of linear systems with applications in economics and geometric interpretation. The material can be used in teaching both for the final years of Basic Education and for students from the Mathematics Olympics and higher courses with a mathematical basis.