The Powell family must learn to deal with the super powers each has mysteriously acquired after the crash of their plane in the Amazon River. Jim discovers that he has the power of super strength and immediately feels a new sense of purpose and empowerment. With the aid of his best friend and confidant, George, he sets his sights on becoming a hero. Stephanie struggles to balance her family life with working 80 hours a week as an award-winning scientist, and after developing the power of speed, she can now move effortlessly through her daily responsibilities. Always the scientist, Stephanie immediately questions the phenomenon and, with the aid of her lab tech, Katie, the two begin to research the mystery behind the powers. For 16-year-old Daphne, she turns telepathic and hears other people's hopes, dreams, fears and joys, whether she cares to or not. And 14-year-old JJ struggles constantly to satisfy his parents and teachers as he grapples with a learning disability and bad grades. But he suddenly finds his mental abilities strengthened to a super genius level.
Jim attempts to track down some elusive bank robbers, Stephanie looks into discovering the source of the family's newly acquired powers, and Daphne, trying to find a way keep the voices in her head from drowning out her ability to read minds, discovers that JJ has become a super genius but is hiding it from the family. Meanwhile Jim and Stephanie not only keep their powers a secret from the world but from each other too, as Stephanie discovers Jim has become a crime fighter and Jim finds out that Stephanie has used her new power of speed - after promising not to.
After Stephanie's ring is stolen during a robbery at a high-end wedding, Jim and George become wedding crashers in an attempt to catch the thugs. Meanwhile, after learning that assistant Katie misguidedly used her own blood to cover for Stephanie's company physical exam - fearing that the results would reveal her powers - Stephanie is forced to use her powers in order to retrieve the blood sample from a secure lab; against her parents' wishes, Daphne wants to tell her friend Megan about her telepathic abilities after she inadvertently reads her mind and blurts out what she heard; and JJ asks Daphne to scan the mind of a cute girl to find out if she has feelings for him.
While patrolling the park at night in an effort to catch a mugger, Jim is mistaken for a murderous vigilante who has begun targeting the robbers; Stephanie makes a discovery that could explain how she and her family got their powers; Daphne uses her telepathic abilities to get into an exclusive party reserved for only the cool high school kids; and JJ tries out for the football team - with a lot of help from his powers.
Jim goes into search mode to discover the cause of some recent earthquakes; Stephanie begins to suspect that JJ may be lying about his lack of super powers; and Daphne struggles with morality issues when she reads the minds of a fellow student and teacher and suspects they may be having an affair.
When Stephanie's hard-to-please parents, Barbara and Allan Crane, pay an unexpected visit, the Powells must curb the use of their powers for fear of giving away their secret. But Barbara and Allan begin to suspect that something's awry when they witness some strange behavior. Meanwhile, when friend Trent Stafford and his parents are the victims of a home invasion, Daphne uses her abilities to help Jim try to track down the thugs responsible for the violent act.
Jim's secret identity is at risk when he tries to take down a dangerous mobster who has eluded George for years; Stephanie continues to look into Dr. Volson's previous research of a mysterious plant - against Dr. King's wishes; Daphne convinces a reluctant JJ to use his powers to help her become more knowledgeable in order to impress a boy; and JJ goes to extreme measures to help Katie get a date.