The catenary curve is an intriguing mathematical and physical phenomenon that plays a
crucial role in various elds, such as engineering, architecture, and is also found in nature.
Although the National Common Curricular Base (BNCC) states that mathematics in high
school should be integrated and applied to reality in various contexts, the catenary is not
even mentioned as an example in textbooks. In this context, this work sought to address
the question of how to explain this curve and its properties in high school. Therefore,
the general objective is to investigate the mathematical properties and applications of the
catenary curve and to propose a Didactic Sequence (SD) for high school. We present the
relationship between the BNCC and the catenary, as well as its history, applications, and
equation. Consequently, we developed the Educational Product (the SD) which includes
a sequence of lessons for studying the catenary, with activities involving jump rope, soap
bubbles, and constructing the catenary arch. It was concluded that studying the catenary
in high school and using the SD can enhance the teaching and learning of mathematics.

This dissertation proposed possibilities for using the Geogebra software, with the appli-
cation of normal distribution in calculating probability. The proposal consists of using

Geogebra's probability calculator, resource, in dierent applications and comparing it with
the results obtained in the calculation of the standardized normal curve. In addition, we
carry out simulations in order to demonstrate important results such as the central limit
theorem.