Any change in the educational field must originate with the identification and approach of pedagogical problems to achieve the academic quality of the teachers and the other actors involved. The objective of the project was to make a diagnosis of the mathematical competences through the Knowledge Saber of 3 ° to design strategies based on the PBL and the Inverted Classroom as tools that facilitate learning and encourage motivation and concentration in this specific subject. The study was descriptive. The population was conformed by the students of third degree of the IED Rural San Pedro Apóstol, where an analysis of the results of their tests was made, evidencing weakness in the approaches and interpretations of mathematical problems. For this reason, it became necessary to implement these two methodological tools to improve the reasoning capacity and accentuate a solid critical thinking in students.