A method and system are described for immobilizing three or more vertebrae. The system includes a first bone anchor assembly, a second bone anchor assembly including a connector having a predefined arc, and at least a third bone anchor assembly. The first and second bone anchor assembly are inserted into the pedicles of vertebrae spanning at least a third vertebra. The third bone anchor assembly is positioned into the third vertebra between the first and second bone anchor assemblies using an arc defining instrument which is used to locate the proper position for the third bone anchor assembly based on the predefined arc of the connector. Once the third bone anchor assembly is in place the connector is rotated into position and captured by the first and third bone anchor assemblies.