Luke 9:51 begins the journey to Jerusalem that this verse continues; both are part of the same travel narrative.

In Luke 4:43, Jesus states his purpose to preach the kingdom — this explains the motivation behind his journeying in Luke 13:22.

In Luke 4:44, Jesus continues preaching in synagogues — showing that his teaching journey in Luke 13:22 was his consistent practice.

In Matthew 9:35, Jesus goes through all cities teaching and healing — a parallel summary of his itinerant ministry, adding healing to the picture.

Mark 6:6 shows Jesus going through villages teaching — the same itinerant ministry pattern seen here.

Mark 10:32-34 also places Jesus on the road to Jerusalem, but there he predicts his suffering rather than teaching.

Acts 10:38 summarizes Jesus' ministry of going about doing good, echoing the teaching journey described here.