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This is an overview of the basic aspects of shifted symplectic geometry on derived schemes. In this talk, we always study objects with higher structures in a functorial perspective, and we shall focus on local models for those structures. We begin with background material from algebra and from derived algebraic geometry. To be more specific, the basics of commutative differential graded K-algebras (cdga's) and their cotangent complexes will be revisited. In the second part of the talk, using particular cdgas as local models, we shall introduce the notion of a (closed) p-form of degree k on an affine derived K-scheme with the concept of a non-degeneracy. As a particular case, we shall eventually define a k-shifted symplectic structure on an affine derived K-scheme and outline the construction of Darboux-like local models.