  We present a generalisation of the flavour-ordering method applied to the
chiral nonlinear sigma model with any number of flavours. We use an extended
Lagrangian with terms containing any number of derivatives, organised in a
power-counting hierarchy. The method allows diagrammatic computations at
tree-level with any number of legs at any order in the power-counting. Using an
automated implementation of the method, we calculate amplitudes ranging from 12
legs at leading order, $\mathcal{O}(p^2)$, to 6 legs at
next-to-next-to-next-to-leading order, $\mathcal{O}(p^8)$. In addition to this,
we generalise several properties of amplitudes in the nonlinear sigma model to
higher orders. These include the double soft limit and the uniqueness of
stripped amplitudes.
