  In this paper we perform a semi-tetrad decomposition of the Kerr spacetime.
We apply the 1+1+2 covariant method to the Kerr spacetime in order to describe
its geometry outside the ergoregion. As a result we are able to explicitly
write down the 1+1+2 Kerr quantities, and the evolution and propagation
equations they satisfy. This formalism allows us to present the kinematic and
dynamic quantities in a transparent geometrical manner; and also to highlight
the role of vorticity. To our knowledge, using the 1+1+2 formalism to
investigate the Kerr spacetime is a novel approach and this provides new
insights into the spacetime geometry in an easier manner than alternate
approaches. Furthermore we make corrections to earlier equations in the 1+1+2
formalism applied to the Kerr spacetime.
