The luminosities and effective temperatures, as well as the whole bolometric light curves of non-linear convective RR Lyrae models with 0.0001 ≤Z≤ 0.006, are transformed into the Sloan Digital Sky Survey (SDSS) photometric system. The obtained ugriz light curves, mean magnitudes and colours, pulsation amplitudes and colour–colour loops are shown and analytical relations connecting pulsational to intrinsic stellar parameters, similar to the ones currently used in the Johnson–Cousins filters, are derived. Finally, the behaviour in the colour–colour planes is compared with available observations in the literature and possible systematic uncertainties affecting this comparison are discussed.