  We introduce graded $\mathbb{E}_{\infty}$-rings and graded modules over them,
and study their properties. We construct projective schemes associated to
connective $\mathbb{N}$-graded $\mathbb{E}_{\infty}$-rings in spectral
algebraic geometry. Under some finiteness conditions, we show that the
$\infty$-category of almost perfect quasi-coherent sheaves over a spectral
projective scheme $\mathrm{Proj}\,(A)$ associated to a connective
$\mathbb{N}$-graded $\mathbb{E}_{\infty}$-ring $A$ can be described in terms of
$\mathbb{Z}$-graded $A$-modules.
