Gradually ascend the slopes above Martha Lake, aiming for a narrow saddle (see photo) at 11,900 ft. that is between Mt. Goddard and Peak 12,410. There is an intermittent use trail up to the saddle. There are several large boulders below and in the saddle. Hike through the saddle and over a snowfield. Once through the saddle, ascend to the right over more boulders, reaching small Lake 11,960 after a few minutes. On the opposite, northeast side of the lake, ascend 300 feet of gentle talus and grass ledges over Goddard Col. Goddard Col is a trivial distance from Lake 12,240. Both Lake 12,240 and Goddard Col are under the south side of Mt. Goddard.
From Lake 12,240, take the westernmost chute on the mountain . Early in the season, an ice axe might be needed. The chute is fairly steep with a lot of loose scree. However, the chute isn't really dangerous--just a nuisance. There is a use trail on the left part of the chute, which might be easier to use during the descent because it contains loose dirt and rocks. Upon reaching the top of the chute, head towards the high false summit to the northeast, staying just below and to the right of it. At this point, the south summit will become visible. Climb the South summit. The class 3 portion begins here, along the summit ridge, and is the most interesting part of the climb. Climb from the South Summit to and then over the Middle Summit and proceed towards the highest summit, the North Summit.
If you have information about this route that doesn't pertain to any of the other sections, please add it here.