The objective of this work of professional sufficiency is the study of Cartesian plane: application in calculating the distance between two points; For students in the 4th grade of high School. The same that reflects the level of achievement of the competition: solves problems in a moving and localization way; Reasoning and arguing, generating mathematical ideas, at the same time elaborating and using strategies to find the distance between two points in a coordinate system applying the Pythagorean theorem; Through meaningful learning by correctly solving the problems posed. To stimulate students ' learning achievement they became aware of the importance of the use of GPS (Global positioning System). Global Positioning System, which is a system that allows to determine in all the earth the position of any object (a person, object, a company, a terrain) with an accuracy of up to CM. It al...