Colligative properties of solutions are properties that depend upon the concentration of solute molecules or ions, but not upon the identity of the solute. Colligative properties include vapor pressure lowering, boiling point elevation, freezing point depression, and osmotic pressure.
Supersaturation depends on the physical properties of the substance (solubility).
Supersaturation is a solution that contains more of the dissolved material than could be dissolved by the solvent under normal circumstances.