Sondra, the eldest Huxtable child makes her first appearance when she visits home for Thanksgiving. She plans on going to Paris for the summer, and hopes that her parents will support the decision.

Clair could be named partner at her law firm if an interview goes well-but Rudy is sick! Cliff vows to take care of her while Clair works, and engages in some unique doctoring methods. Clair is named partner and Rudy is fine by the end.

Theo gets his ear pierced to impress a girl, but Denise thinks it might be infected. She is correct, and Theo must go to Cliff. Cliff hopes that Grandpa Huxtable will punish Theo, but the old man instead relates the story of how Cliff tried to slick back his hair to impress Clair, but ended up burning it off! Russell brags, and Anna reminds him of the time that he had a tattoo of her name placed on his chest, but ended up with a huge scar on his chest when he tried to remove it after Anna found out he was actually trying to impress another girl! First appearance of Clarice Taylor as Anna Huxtable, Cliff's mother.

Cliff is set to receive an important award, but a woman goes into labor right before the ceremony. Theo delivers his speech for him. Aleta Mitchell as Mrs. Randall, Elisa de la Roche as Nurse, Sheldon Leonard as Dr. Wexler

Cliff tries to impress Denise's friends by teaching them how to jitterbug. Some of Clair's friends also show off their dance moves. Soon, the whole house is full of dancers. Blair Underwood as Denise's boyfriend (uncredited), Judith Jamison as Marie, Donald McKayle as Ralph, Gerard Cooper as Guy, Christine Langner as Girl

Clair discovers a marijuana joint in one of Theo's school books. She and Cliff confront him about it, and accept his explanation—another boy slipped it in. Theo confronts the boy and brings him home to confess in order to remove any uncertainty from his parents about his telling the truth. Theo and the boy actually start to become friends. Stephen Thompson as Anthony Braxton, Iman as Mrs. Montgomery. Rudy says her full name in this episode, Rudith Lillian Huxtable.

Vanessa is placed in an advanced science class. She creates a model of the solar system, but learns that she will have to work harder than ever if she hopes to succeed. First appearance of Pam Potillo as Vanessa's friend Janet Meisner.

A sneaky mechanic tries to swindle Sondra. It's Clair to the rescue as the two battle in court. David Langston Smyrl as the man in court, Shawn Elliott as Mr. Wilson, Alan North as Judge

Cliff is turning 48, and as usual, he is trying to find out what his birthday present is ahead of time. Clair, with the help of the kids, orchestrates a huge trick. Cliff is fooled, and doesn't find about what is birthday surprise is: a visit to Lena Horne's private club. Lena Horne as herself, Clarence Williams III as Clarence Thornehill. In episode 12, Cliff says his birthday is in October.

The Huxtable house is thrown into chaos after Rudy finds a snake in the basement.

Clair challenges Cliff to not eat any salty food for the day. Denise leaves for her freshman year at Hillman College.

Russell and Anna's 50th wedding anniversary. The family performs James Brown's "I Got the Feelin' " in this sequel to Season 2's "Happy Anniversary". Earle Hyman as Russell. Clarice Taylor as Anna. Geoffrey Owens as Elvin. Appearance by Frank Foster and the Count Basie Orchestra. First mention of Rudy's desire to have a husband named "Bud" when she grows up.

Although he has a steady girlfriend, Theo wants to start dating someone else.

After Clair specifically forbids her from wearing make-up, Vanessa, behind her mothers back does it anyways.

Theo writes a report on the March on Washington. But gets a poor grade and is asked to redo his project. Much to his surprise he learns more about the march from his family than he did from books. Meanwhile Vanessa is worried about asking a boy to the turn-around dance. Earle Hyman as Russell. Clarice Taylor as Anna. Joe Williams as Al Hanks. Ethel Ayler as Carrie Hanks.

Theo and Cockroach decide they want to learn to fly, but Cliff doesn't want to waste his money on another dream of his son's. Carl Anthony Payne II as Cockroach. First appearance of Deon Richmond as Kenny, a.k.a. "Bud".

Friends call Vanessa a stuck-up rich girl at school. Guest appearance by Essence Atkins.

Denise's college career starts with a D, but Denise is to scared to show her parents. Clair needs to rest in bed because of a pinched nerve. Rudy portrays "the wind" in a school play. Rosalind Cash as Dr. Hughes (The episode is preceded by a 30-second anti-drug public service announcement featuring Bill Cosby).

Rudy and Peter find a dog and attempt to take care of it without her parents knowing. Peter Costa as Peter.

Cliff and his father's friend play a challenging game of cards. Venesa prepares to go to a skating party with date Robert Forman, soon find a very cute guy will cross her path Earle Hyman as Russell.

Cliff is in charge when Clair leaves for 10 days.

Elvin helps Theo with some wrestling moves, although he and Sondra have made plans for the weekend, and reveals that he is thinking of marrying her. Geoffrey Owens as Elvin.

Cliff establishes the Huxtable Men's Club when the women are away to help Theo get over his sadnes of a lost date. Venessa is very excited that big sister Denise is letting her go to the Village with Denise's college friends.

Cliff buys a new car. Rudy cuts some animal pictures out of Cliff's expensive books for school. Guest appearance by Sinbad, who would later portray Walter Oakes on the Cosby Show spinoff, A Different World. Watched by almost 65 million viewers when it originally aired, "Say Hello to a Good Buy" was the series' highest rated episode.

Denise has a blind date, but is really scared. So she asks Theo to grade him for her!!!! But this soon leads to a big hilarious mix up.