The necessity of thinking about new methodologies to the mathematics teaching, especially
from themes related to the student’s everyday life, motivated this project achievement
that through mathematical modelling has as purpose to ally theory and practice in
the basic education context, to verify the time that one person that makes appropriate
use of sun protection factor (SPF) 30, can be exposed to ultraviolet radiation (UR) of the
sun without suffering sunburn. The study also indicates the contributions of this research,
presents a proposal to the teaching time of safe exposure to the sun, that allow to the
high school teacher discuss concepts of exponential function in a critical and reflexive way
to a more significant knowledge construction and provides to the student’s conditions to
realize the integration of the mathematics with others knowledge areas providing through
the mathematical modelling, necessary conditions that the student can develop studies
that enable more capacity of analyzing, participate and act about the knowledge that is
being constructed. Considering the radiation levels, the SPF 30 in relation to the skin
type, the data remit to the exponential function, that applying the ordinary least squares
method makes possible elaborate a mathematical model for each one of the four types
of skin. The results show that if people make the right use of the SFP 30, depending on
the skin type, it is possible to stay in sun exposure for a minimum period of 1h and 45
minutes, without being burned.
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