Beaver is determined not to eat brussels sprouts and adamently refuses not to eat them when June serves them for dinner. In order to go to a football game, Ward makes Beaver promise that he will eat them the next time they are served. Beaver quickly finds himself confronted with the ""deadly"" vegetables when the Cleavers go out to eat at a posh restaurant.

A friend Beaver made at summer camp, Chopper, stays with the Cleavers for the weekend. Beaver is quickly introduced to Chopper's unusual life since he is the son of parents who have been married and divorced many times.

While Beaver and Wally are fishing an abandoned canoe floats up and Beaver and Wally responsibly return it to the owner, whose name had been carved in the paddle. However, after telling his friends the story, they adjust it to make it sound as if Beaver had saved a girl from drowning.

Beaver proudly takes his friends Whitey and Gilbert on a picnic at the lake to see Wally in his first day as a lifeguard, not knowing that a new law forbidding anyone under age 18 from filling the position has forced Wally to work as a snack vendor instead. When he sees Wally in a floppy hat peddling hot dogs instead of sitting importantly on a stand in a lifeguard uniform, an embarrassed Beaver wants to go home before anyone else finds out.

When Clarence gets fed up with Beaver calling him Lumpy, he gives Beaver a new nickname of Freckles. This leads Beaver to become self-concious about his freckles and takes steps to try to remove them.

Constantly entering contests, Beaver's latest one has him selling raffle tickets in hopes of winning one of the prizes. Surprisingly, he does indeed win third prize and the prize is a $3,500 sports car. However, his dreams are dashed when Eddie's premonition comes true, Ward breaks the news that Beaver can't keep the car.

While doing some yard work for Miss Landers, Beaver and Whitey witness their favorite teacher in the midst of a gentleman caller, which makes Beaver a bit jealous. However, Beaver gets sick to his stomach when he discovers Miss Landers is engaged to be married and the man he saw was her fiance.

Eddie crawls through the Cleaver house spreading the news that he's going steady with Caroline Schuster, something that worries June who doesn't want Wally to get any ideas about going steady. However, Wally has other worries when he overhears Caroline saying that she's only using Eddie while her boyfriend is grounded. Leaving Wally with the decision to tell Eddie or not.

After learning that he's going to be taking an I.Q. test, Beaver hits the books, scared after his friend tell him that if he doesn't pass, he will be sent to ""dumb"" school.

Wally is shocked to learn that the glamourous Kitty Bannerman is visiting Mayfield and he's afraid that she will find out that he's not the rich hot shot that he told her he was in the letters that he had sent her.

A neighbor gives Wally the responsibility of taking her son, Chuckie, down to the shoe store to pick out a pair of shoes. However, when Wally gives the job to Beaver, Beaver finds himself searching for Chuckie, who has gotten himself lost.

While at a parent's meeting, June leans from Miss Landers that someone has been stealing in Beaver's class and so far, a baseball glove, a lunch box and a baseball cap were heisted. Later, June makes a shocking discovery, she finds the stolen items under Beaver's bed. This leaves June and Ward wondering if they're raising a thief.

An advertisement in the mail for a free tryout of an accordian has Beaver sneaking around behind Ward's back. After rescuing the flyer from the trash, Beaver sends it in and indeed gets an accordian that he quickly finds hard to hide from his parents.

Ward's Uncle Billy arrives in Mayfield for a visit and begins telling Wally and Beaver exaggerated stories. Not realizing this, Beaver expects Billy to come through after promising Beaver a fishing reel.

Wally's latest girlfriend is Julie Foster who just happens to be the daughter of a Mr. Foster who teaches English. Meanwhile, at school, a new semester lands Wally in Mr. Foster's class and quickly finds himself feeling uncomfortable. Especially after Eddie tells him that his relationship with Julie will determine his grades.

Wanting Ward to become a millionaire, Beaver buys him a book called, ""I Became a Millionaire in Twelve Months."" Ward thanks him for it but Beaver quickly learns that Ward is just being polite as to spare his feelings.

After revealing that he wants to be a writer when he grows up, Ward buys Beaver a diary to practice writing and Beaver begins keeping a record of his daily activites. However, June and Ward pick the lock and sneak a peek at his diary after Beaver neglects to come home on time.

Wally is all set to compete in a track meet but after the coach catches him ""horsing around"" in the locker room, he's ousted from the meet, even though Lumpy and Eddie were egging him on.

An old friend of Beaver's spends the weekend at the Cleavers and Beaver is all ready to have a great time like they use to. However, Beaver quickly discovers that people change and in this case Beaver's old buddy has indeed changed.

When Beaver becomes sick, the doctor thinks Beaver may need to have his tonsils taken out. Ward quickly puts Beaver's fears to rest by telling him everyone will bring him presents when they visit him in the hospital. This leads Beaver to tell everyone that he's going to have surgery but then finds out he may not need the operation after all.

Eddie makes it known to everyone that he's just gotten a job down at Parker's Pet Store, which happens to be the store that's holding a contest where you guess how many fish are in the tank. After hours of counting and re-counting, Gilbert suggests to Beaver that they ought to just ask Eddie for the count, but Beaver is a bit hesitant at cheating.

Miss Landers is having Beaver's class do projects on the colonial period and Beaver is one of three people doing posters. Who ever makes the best one, gets a prize and Beaver is sure that Ward will paint the poster for him, but Ward rejects that idea and forces Beaver to do his own work.

A neighborhood cleaning woman, Mrs Manners, gets a request from June asking her to help out a couple times during the week. Mrs. Manners is too busy herself but instead sends over her daughter, a girl whom Wally instantly falls for.

After joining the dramatic club at school, Beaver is given the lead role in a play. However, after reading the script, Beaver discovers he must kiss a girl and wants out of the production.

A close friend of June's moves into the neighborhood and June arranges to have Wally show the new kid, Dudley, around school. However, everyone thinks Dudley is a creep and Eddie and Lumpy plan to make a fool of Dudley at a party.