We investigate the problem of dimension reduction for plates in nonlinear magnetoelasticity. The model features a mixed Eulerian-Lagrangian formulation, as magnetizations are defined on the deformed set in the actual space. We consider low-energy configurations by rescaling the elastic energy according to the linearized von Kármán regime. First, we identify a reduced model by computing the Γ-limit of the magnetoelastic energy, as the thickness of the plate goes to zero. Then, we address the convergence of almost miminizers of the total energy including applied loads given by mechanical forces and external magnetic fields. Finally, we consider quasistatic evolutions driven by time-dependent applied loads and a rate-independent dissipation, and we prove that energetic solutions of the bulk model converge to energetic solutions of the reduced model. This result provides a further justification of the latter in the spirit of evolutionary Γ-convergence. This is joint work with Martin Kruzík (Czech Academy of Science).