In accordance with an embodiment, a method for producing an aggregate is disclosed comprising mixing IBA and a second, silicoaluminous material having a calcium content less than the IBA. The method further comprises agglomerating the mixture, such as by pelletizing, and pyroprocessing the agglomerates, such as by sintering or vitrification, to form the aggregate. The second material may be a clay, such as bentonite or kaolin, a mining waste, such as granite sawing residues, waste glass, or furnace bottom ash, for example. The addition of the second material has been found to facilitate production of lightweight and normal weight aggregates. Preferably, the IBA or the mixture of IBA and the second material are wet milled prior to agglomeration. Methods for producing expanded aggregates are also disclosed.