We perform a Noether analysis for a description of translation transformations in 4D κ-Minkowski noncommutative spacetime which is based on the structure of a 5D differential calculus. The techniques that some of us had previously developed (hep-th/0607221) for a description of translation transformations based on a 4D differential calculus turn out to be applicable without any modification, and they allow us to show that the basis usually adopted for the 5D calculus does not take into account

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... ertain aspects of the structure of time translations in κ-Minkowski. We propose a change of basis for the 5D calculus which leads to a more intuitive description of time translations.