Beaver's teacher, Miss Canfield, sends a note home with Beaver and the other kids convince him that it's news that he's getting kicked out of school. Beaver and Wally take steps to hide the note from Ward and June.

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.

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.

When June goes on a trip to visit her sister, Peggy, June's Aunt Martha steps in and stays with Ward and the boys. Ward and the boys do their best not to hurt Martha's feelings, but Beaver has the hardest time when she buys him a suit, knee socks, a cap, and short pants and makes him wear the outfit to school.

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.

Beaver is invited to Linda Dennison's birthday party and quickly discovers that he is the only boy that she invited. Fearing for his reputation, Beaver tries his best to get out of attending, but June and Ward are insistent, not aware of the situation Beaver's in.

Beaver makes a trade with Larry Mondello: a glass doorknob for a Chihuahua. Larry found the dog in his garbage can, so when Beaver brings it home, Ward immediately breaks the news that he's going to place an ad in the lost and found and that Beaver probably won't be able to keep the dog. Despite this, Beaver quickly begins to grow close to the little pooch.

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.

June has Wally stay home from school when he comes down with a sore throat and suddenly Wally is emersed in attention from his parents, friends and doctor. Jealous and feeling left out, Beaver fakes illness, seeking that same attention.

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.

A school play has Beaver assigned the role of a canary. However, he doesn't seem to be graceful enough to fly around like a bird. To make matters worse, on the night of the play, Ward's words of encouragement lead to Beaver coming down with a case of stage fright.