The mathematical model of the kinetics of the oxidation-reduction reactions during the magnetite oxidation and hematite dissociation has been presented. The methods of calculating the kinetic parameters, which have been used during the mathematical processing of the experimental data obtained, have been created. The data has been obtained during the investigations into the processes of the oxidation and dissociation in case of firing the Kachkanar pellets. It has been established the theoretical results correspond closely to the experimental data on determining the oxidation degree of the magnetite and hematite dissociation, the iron monoxide content in the pellets. The pellets can be anywhere in the sintered layer/ It has been shown that the calculation error is not more than 10-15 %.