  We study the evolution of the physical variables in $f\left( Q\right)
$-gravity for two families of symmetric and flat connections in a spatially
flat Friedmann--Lema\^{\i}tre--Robertson--Walker geometry where the equation of
motion for the nonmetricity scalar is not trivially identity. From the analysis
of dynamics we found that the de Sitter universe is always an attractor while
the cosmological models admit scaling solutions which can describe the early
acceleration phase of our universe or the matter and the radiation epochs.
