Numbers 19 - 21
Chapter 19 details the role of the red heifer, and its ashes that are to be used in all rites of purification.
In Chapter 20 we have the unfortunate incident where Moses disobeys God, and misrepresents Him before the people by striking the Rock. We know from 1 Corinthians 10 that the Rock was Jesus, and as a Type He would only need to be struck once, and then only spoken to after being struck (for all sin). But Moses broke the type, misrepresented God before the people (Who was not angry), and was punished by being prohibited from entering the promised land. Aaron also dies, and his son Eleazar becomes High Priest.
In Chapter 21 the people again complained against the Lord, and He sent poisonous snakes among them, and many died, and many others suffered. God commanded Moses to cast a bronze serpent, and raise it up for the people to look at and be healed. As Jesus told Nicodemus in John 3, He would be raised up so that all who look upon Him might be likewise healed. As Paul said in 2 Corinthians 5:21 that Jesus became sin for our righteousness, and that corresponds with Him being raised up in the form of the serpent.
Then, during various wanderings in the wilderness God gives them victory over multiple kings and nations to the east of the Jordan.