The Bradys go on vacation to Hawaii. While there, Peter and Bobby stumble upon an ancient Tiki idol that some locals believe brings bad luck to the person who is touching it.
After bad luck continues to befall the family, the Brady boys set out to learn about the ancient tiki. They learn the tiki is tabu and must be discarded at an ancient burial ground.
The Brady boys arrive at the cave to return the idol to the burial site, only to be held prisoners by an angry archaeologist who lays claim to the cave and believes that they stole the idol.
Marcia is apprehensive about her first day of high school, so Mike asks Greg to help break the ice for her. Meanwhile, Peter tries to make a working volcano for the Science Club.
Peter has a crush on Jan's new friend but every plan to impress her backfires. Inspired by "Cyrano de Bergerac," he launches a final plan to win her over with Greg's help but it also backfires when she falls for Greg instead.
The boys try to spook the girls in the middle of the night with a ghost, so they try to get revenge by giving them a taste of their own medicine. But after Alice criticizes them for being so scared, the kids collectively have a new target.
Greg and Marcia recruit their parents to participate in Family Frolics Night at school. Alice is upset with Sam when he passes a chance to be her date to the event to go to bowling practice, so the girls launch a plan to change his mind.
Jan feels disrespected and ignored by her brothers and sisters, so she tells everyone that she wishes she was an only child. Meanwhile, Carol and Alice have a competition over who can cook the best strawberry preserves.
Mike thinks Greg wants to be an architect after reading Greg's school essay, but Greg doesn't want to hurt Mike's feelings and tell him the truth. Meanwhile, the other Brady kids also begin thinking about their future careers.
The kids give Alice the cold shoulder after they think she has broken their trust, so Alice decides to leave her job as housekeeper. However, the kids soon regret the decision after the new housekeeper teaches them a lesson.
Peter tries out for the role of George Washington in a school play, but gets the role of Benedict Arnold instead. But he then wants to quit the play altogether when his classmates start branding him as a "traitor."
Bobby doesn't want to be safety monitor for his class because his classmates now hate him. However, he soon abuses his power and begins reporting on his family when they break house rules. Meanwhile, the family salvages an old sailboat.
After Greg is grounded for a week for careless driving, he gets in a dispute with his parents over their "exact words." Meanwhile, Bobby and Peter enter frogs in a frog-jumping contest.
The kids want to buy Mike and Carol an engraved silver tray as their anniversary gift, but Jan goofs up on paying for the tray. To fix the mistake, Jan convinces her siblings to audition for an amateur talent show.
Bobby becomes obsessed with Jesse James. Mike and Carol don't approve of his new hero, and try to find a way to convince him that James was nothing but a "mean, dirty killer."
Marcia breaks a date with Charlie when "big man on campus" Doug Simpson asks her out. However, after she gets hit in the nose with a football, Doug Simpson breaks his date with her.
Peter gets a job at the bike shop, but he is fired after three days. He doesn't want to tell his parents the bad news, because he told the family he might be getting a promotion to salesman the day he got fired.
Cindy loses her mom's earrings after playing with them, and "detective" Peter Brady tries to solve the mystery. But when Carol wants the earrings for a costume ball and they're still not found, the entire family tries to crack the case.
Cindy studies hard and passes a test to appear on a TV quiz show, but an overconfident Bobby does not. But after she passes, her ego goes out of control. Meanwhile, Mike and Carol make plans for a dinner party.