The present invention provides methods and apparatus that permit one to position a cutting jig or other component using a localization device to navigate different degrees of freedom of the component in discrete, sequential steps. For instance, a first mounting pin for a cutting jig that sets one or more, but fewer than all, degrees of freedom of the cutting jig is navigated into position using the localization device. For instance, the first mounting pin might set the height and the slope of the cutting plane of the jig. Next, a marker is mounted on the cutting jig and the cutting jig is slid onto the mounted pin. Then the cutting block is navigated in another degree of freedom, for instance, to set the varus-valgus angle of the cutting plane by rotating the jig about the axis of the pin. A second mounting pin for the jig is affixed to the bone based on that navigation.