Soft continuum robots exhibit access and manipulation capabilities in constrained and cluttered environments not achievable by traditional robots. However, environmental contact can drastically alter the motion of continuum robots, complicating their control in these applications. Here we describe the design, modeling, and control of a soft continuum robot with a novel extension degree-of-freedom that enables movement in a direction that is always tangent to the robot's backbone, independent of environmental contacts. Steering occurs by inflating multiple Series Pneumatic Artificial Muscles (sPAMs) arranged radially around the backbone and extending along the robot's whole length. This design simplifies navigation of the robot by decoupling steering and extension. To navigate to a destination, the robot is steered to point at the destination, and the extension degree-of-freedom is used to reach it. We present models and experimentally verify the sPAMs and growing robot kinematics. The kinematic model has a mean position accuracy of 5.5 cm for predicting the tip position of a 42 cm long robot. Control of the growing robot is demonstrated using an eye-inhand visual servo control law that enables growth of the robot to designated locations.