Where in the Bible did Jesus change Simon's name to Peter?

Mark 1:16 records a disciple Simon, the brother of Andrew. He is mentioned again in 1:29, 30, and 36. In 3:16 Mark refers to him as 'Simon (to whom he [Jesus] gave the name Peter)' (NRSV). Verse 3:18 records a 'Simon the Cananaean' and verse 6:3 records a 'Simon' who is stated to be a brother of Jesus, but these appear to be different individual. From then on we hear no more about any Simon. A Peter appears in 8:29 and all further references are to this name.