We apply the rotation-invariant Green's function method (RGM) to study the spin S = 1/2 Heisenberg model on a one-dimensional sawtooth lattice, which has two nonequivalent sites in the unit cell. We check the RGM predictions for observable quantities by comparison with the exactdiagonalization and finite-temperature-Lanczos calculations. We discuss the thermodynamic and dynamic properties of this model in relation to the mineral atacamite Cu2Cl(OH)3 complementing the RGM outcomes by results of other approaches.