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The present paper aims to set forth a two-dimensional theory for the dynamics of plates that is valid over alarge range of excitation. To construct a dynamic plate theory within the long-wavelength approximation, twodimensional-reduction procedures must be used for analyzing the low- and high-frequency behaviors under thedynamic variational-asymptotic method. Moreover, a separate and logically independent step for theshort-wavelength regime is introduced into the present approach to avoid violation of the positive definiteness ofthe derived energy functional and to facilitate qualitative description of the three-dimensional dispersion curve inthe short-wavelength regime. Two examples are presented to demonstrate the capabilities and accuracy of all ofthe formulas derived herein by using various dispersion curves through comparison with the three-dimensionalfinite element method.