Note: This period is often called "The Later Judean Ministry" of Jesus. That works because Jesus had previously ministered for a time in this basic region - several months at the very beginning of His ministry He had spent gathering John the Baptist's disciples to Himself (John 1). But though Jesus had visited the region briefly on several occasions, He had not spent any extended time here concentrating on the effort to saturate the area with His claims concerning Himself. He does that now. It's important to understand that by now the nation has made it clear (to Jesus alone) that they were determined to disbelieve. Besides that, this region is very much under the dominion of the rabbinic and Pharisaic leadership centered in Jerusalem. So, Jesus's intent here is not to set His claims before the villages of Judea in the hope they would acknowledge Him. Rather, Jesus seems to be confronting this strategic region with His claims - and with miraculous demonstration of those claims - in order that "every mouth may be stopped," that this generation would have no excuse for their rejection of Jesus.
Scripture: Luke 10
Notes: This is similar to when He sent out the 12 late in His Galilean ministry, and the intent is the same - to get the message out quickly and dramatically, given that the time is short because of the anger of Jesus's very powerful enemies.
Scripture: Luke 10:25-37
Notes: Jesus was asked by a scribe (student of the Law) what had to be done to be saved. The parable was spoken in response to the conversation which ensued, and specifically to the question of the lawyer, "Who is my neighbor?"
Scripture: Luke 10:38-42
Notes: This home will become very strategic to Jesus during the week of His passion; He seems to be preparing for that week in making this visit.
Questions/Observations: Note that Bethany is a suburb of Jerusalem; it lies on the east of the city, on the backside of the Mount of Olives, about 1.25 miles away.
Scripture: Luke 11:1-13
Notes: The "Lord's Prayer" is, in fact, a model prayer, spoken by Jesus in response to His disciples' request, "Teach us to pray."
Questions/Observations: Note the reference to John's instruction of his disciples concerning prayer; this is the only reference of this in the New Testament.
Adapted from the Life of Christ study notes of Dr. Doug Bookman, professor of New Testament Exposition at Shepherds Theological Seminary (used by permission).