Beaver comes home with a black eye and Ward is upset when he learns that Beaver didn't fight back. This leads Ward to teach Beaver how to defend himself. Little does Ward know that the person who punched Beaver is a girl, Violet Rutherford, the daughter of one of Ward's co-workers.

June has had it with Wally and Beaver's fighting and demands they make a pact to be nice to one another and do things together. However, when each boy gets an invitation for individual social outings, they each attempt to break the pact.

Beaver has a crush on his teacher, Miss Canfield. When Judy, Whitey and Larry tease him for being a 'teacher's pet,' Beaver tries to prove them wrong and places a spring snake in her desk. However, Beaver has second thoughts and becomes determined to remove the snake before she finds it.

After taking an IQ test, Beaver scores the highest in his class and Mrs. Rayburn suggests that it would be best if Beaver went to a special school where his abilities can be challenged. However, little does anyone know that everything is not as it seems.

Ward becomes a bit jealous when Wally and Beaver begin spending time playing basketball at Willie Dennison's house after Willie's dad put up a backboard and a basket. This prompts Ward to do the same thing but it just seems like things are working against him being the perfect father.

An eighth grade dance has Wally being pressured into attending with a girl, instead of going stag with Eddie. However, Mary Ellen Rogers becomes determined to have Wally take her and goes through Beaver to get to him.

After a weekend spent at the movies goes awry for Ward, he decides the boys should spend their weekends outside and plans a camping trip. However, when Ward's called into work, Wally and Beaver decide to camp out in the backyard.

Wally makes the baseball team and Ward openly shows how proud he is of him, leaving Beaver feeling inferior. Trying to impress his parents, Beaver tries out for the band and begins practicing the clarinet. However, Beaver soon finds himself with more problems when he's let go from the band.

The neighbors are going away for the weekend and Beaver and Wally have been put in charge of taking care of their lawn and their cat, Puff Puff. When Eddie shows up with his dog, Wolf, chaos erupts and Wolf chases Puff Puff away.

Ward must make a decision when a conflict develops concerning which son to spend the weekend with. He can either go on a fishing trip with Wally or take Beaver on a father-son weekend. Thinking Ward is going to go fishing with Wally, Beaver makes up a wild story when his classmates start to tease him.

Beaver becomes good friends with a classmate, Linda Dennison. However, their relationship is blown out of proportion by Beaver's classmates who begin to tease him and goad him into insulting Linda, to prove that she isn't his girl.

Being Beaver's godmother, Aunt Martha sends him a gift of a ring that had once belonged to an uncle who was also named Theodore. June cautions Beaver that she doensn't want him taking it to school, but he sneaks off to school with it anyways. This leads to a confrontation between his peers that ends with him getting the ring stuck on his finger.

Ward receives an antique pipe as a gift from Fred Rutherford and a curious Larry and Beaver decide to try it out. First they use coffee but then they try tobacco. When Ward discovers someone has used the pipe, he jumps to the conclusion that Wally is the culprit.

Beaver and Wally are all excited about going to the carnival, however, Aunt Martha throws a wrench in their plans when she makes an unexpected visit with a friend of hers, forcing Wally and Beaver to count the hours away, hoping she will leave soon enough so they can still go to the carnival.

Wally's birthday has him deciding to have a birthday party but Beaver jumps to the conclusion that he won't be invited. While shopping for Wally's present, Larry talks Beaver into spending his money on a bow and arrow set for himself and buying a cheap gift for Wally.

Beaver and Wally make friends with the garbage man's kids, Chris and Pete. They quickly learn that they take for granted what they have. Simple things like just having a yard to play in leave Chris and Pete in awe.

Larry and Beaver find themselves tardy for the third time this week and decide to skip altogether. However, they quickly find themselves being caught when they inadvertently walk on the set of a live TV show.

Beaver learns he has to go to the dentist and that's when his friends tell him some horror stories about the drill the dentist is going to use. This prompts Beaver to become downright scared of going to the dentist.

The Cleavers have new neighbors in the Gates family and Beaver befriends their son, Gilbert Gates (his last name was suddenly changed to Bates in a later episode). However, Ward, June and Wally quickly realize the obvious when Beaver comes home with all kinds of wild stories that Gilbert has told and that Beaver is convinced are true.