A shielding system includes a plurality of transportable modules, wall panels, or pods that are connectable to form a containment area and to define a radiation barrier. Each of the plurality of transportable modules has a first radiation wall defining the containment area, a second radiation wall spaced apart from the second wall, and a radiation shielding fill material positioned between the first radiation shielding wall and the second radiation shielding wall. The radiation shielding fill material includes one of a superabsorbent polymer (SAP) filling a portion of a void between the first radiation wall and the second radiation wall, or a non-Newtonian fluid completely filling the void between the first radiation wall and the second radiation wall. A quantity of the radiation shielding fill material is sufficient to substantially reduce measurable radiation level outside the containment area.