The first-order shear deformation plate theory (FST) is the simplest theory that accounts for nonzero transverse shear strain. The FST includes a constant state of transverse shear strain with respect to the thickness coordinate, and hence, requires the use of a shear correction coefficient, which depends, in general, not only on the material and geometric parameters but also on the loading and boundary conditions. This chapter develops the exact solutions of functionally graded material plates using the FST. Due to the general material variation through the thickness of the plate, the bending-stretching coupling exists. General solution of the FST problem for arbitrary variation of the constituents is derived in terms of the isotropic Circular Plates Theory solution. The chapter presents bending relationships between the Classical Plate Theory and FST for axisymmetric bending of through-the-thickness functionally graded circular plates.