  We present a relationship between noncommutativity and higher order time
derivative theories using a method perturbative. We introduce a generalization
of the Chern-Simons Quantum Mechanics for higher order time derivatives. This
model presents noncommutativity in a natural way when we project to states of
low energy. Compared with the usual model, our system presents noncommutativity
without the necessity of taking the limit of strong field. We quantized the
theory using a Bopp's shift of the noncommutative variables and we obtain an
spectrum without negatives energies. In addition we extend the model to high
order derivatives and noncommutativity with variable dependent parameter.
