The Parting of The Ways

As the Dalek fleet approaches Earth, the Doctor and Jack land the TARDIS on the Dalek mothership to rescue Rose Tyler, using the tribophysical waveform macro-kinetic extrapolator to protect themselves from the Dalek weapons. The Dalek Emperor, which describes himself as a God, explains that he managed to survive the Time War in a crippled ship, and rebuilt the race by harvesting genetic materials from the humans such as those delivered from the Game Station. The Doctor observes that the Daleks have gained human traits and emotion by this process and have, because of their creed and resulting self-hate, become deadlier than ever. After bringing Rose aboard, the Doctor returns the TARDIS to the Game Station and works with Jack and the remaining humans aboard to prepare for the Dalek attack.
Jack uses the extrapolator to shield the top six floors of the station and sets up defensive positions, while the Doctor attempts to create a Delta Wave generator from the transmission equipment that will fry the brain of any being in its path, though it will take time to charge up. The Doctor tricks Rose into retrieving equipment from the TARDIS, and while she is inside, uses his sonic screwdriver to direct the TARDIS to return her to her home in the 21st century, much to Rose's anguish. In a farewell hologram known as Emergency Programme One, he describes this as a procedure designed to stop the TARDIS falling into enemy hands. As the Daleks begin to invade the Station, murdering all humans on board and overrunning the defences, the Dalek Emperor contacts the Doctor. He tells him that the Delta Wave generator will kill everyone on nearby Earth as well as his fleet, but the Doctor says this is a preferable fate to enslavement to the Daleks.
Rose, back home, is met by Jackie and Mickey who try to console her. As Rose regains her composure, she spots the words "Bad Wolf" all around the area where the TARDIS has landed, and realises that it is a message rather than a warning. She enlists Mickey's help to try to open the heart of the TARDIS, hoping its telepathic circuits will recognise her desire to return to help the Doctor. Jackie, shaken by the revelation that Rose has met her late father Pete, decides to help and borrows a large tow-truck from a friend. Between the three of them, they are able to open the heart, which engulfs Rose in a white glow. The TARDIS doors slam on Mickey and Jackie as they try to enter, and then it dematerialises.
Back in the future, the Daleks break through the final defences, kill Jack and Lynda, and confront the Doctor just as the Delta Wave generator is ready. However, he cannot bring himself to activate it, and resigns himself to being killed by the Daleks. The TARDIS materialises in the room and Rose, now infused with the time vortex, steps out. Using its vast power, she spreads the words from the station's logo, "Bad Wolf", across time and space to be able to bring herself to this moment and rescue "her Doctor". The Daleks attack her, but she effortlessly disintegrates their entire fleet and brings Jack back to life. The Doctor, distraught about the consequences of all this, begs her to let go of the Vortex's power, but she is unable or unwilling to do so and begins to falter. To save her, the Doctor holds Rose and the two finally kiss, thus inhaling the time vortex energy into himself. He then exhales it back into the TARDIS and takes the unconscious Rose on board. Jack, confused by the disappearance of the Daleks and his own resurrection, turns up just in time to see the TARDIS disappear.Rose awakens on the TARDIS to find the Doctor in pain because the residual Vortex energy is destroying every cell in his body. He tells her that he is dying, and explains the regeneration process. After saying his farewells and praising Rose's performance and then his own, the Doctor morphs into his next incarnation.

Bad Wolf

The three TARDIS travellers find themselves separated, waking up with temporary amnesia in various reality television and game shows. The Doctor finds himself in a Big Brother house hosted by the "Davinadroid", Rose on the set of The Weakest Link hosted by the "Anne Droid", and Jack facing two gynoids, Trine-e and Zu-Zana who offer to give him a brand new image, à la What Not to Wear.
All three find out that the shows are more fatal than their twenty-first century counterparts. On The Weakest Link and Big Brother, losing contestants are seemingly disintegrated, while on What Not to Wear, participants undergo major cosmetic surgery. Jack and the Doctor escape from their shows, the Doctor bringing along a contestant called Lynda, and find themselves on Satellite Five, which the Doctor previously visited in "The Long Game", now under the control of the Badwolf Corporation.
Lynda is instrumental in explaining gaps in the narrative. She explains to the Doctor that a hundred years previous to the episode's narrative, the satellite's broadcasts suddenly stopped, and as a result, progress on Earth halted. The Doctor realises that he himself was responsible for the change.The Doctor, Jack, and Lynda progress to find Rose. They find her as she loses in the final round of The Weakest Link, and is promptly disintegrated. They are arrested, but escape their capture and travel to the control room on Floor 500. They meet the Controller, a cybernetic human, who obliquely tells the Doctor that contest losers are not disintegrated, but transmatted to an empty point in space. The Doctor and Jack discover, to their horror, hundreds of ships containing 400,000 Daleks between them. Detected, the Daleks open a communication channel to the Doctor, who resolves to rescue Rose and then purge the Dalek race once and for all. In response, the Daleks' last action before the episode ends is to start invading Earth.

Boom Town

The Doctor has landed the TARDIS over the Cardiff Rift, left open after the Gelth were defeated in 1869, and is using the slow radiation leakage to recharge the TARDIS. As the process will take a whole day, he, Rose, and Jack are joined by Mickey in Cardiff and take the opportunity to explore the area. While they enjoy a meal at a restaurant, the Doctor notices, to his dismay, the front page of The Western Mail, with the headline "New Mayor, New Cardiff" and a picture of Margaret Blaine, a Slitheen in its human form whom they previously encountered.
Since their meeting, Blaine has become the Lord Mayor of Cardiff, and initiated the construction of a nuclear power plant. However, several people had found significant flaws with the design that could lead to a nuclear meltdown, and had approached her about these issues, but they all have mysteriously disappeared, Blaine having killed them herself. During a recent press conference, a young reporter named Cathy approaches Blaine about these deaths and the information they had left behind. Believing she knows way too much, Blaine invites her to follow into the ladies' room where she plans to kill her like the others, but has a change of heart as the reporter talks about her impending family (as she is pregnant), realizing that Blaine herself no longer has one.
Realizing that they must stop Blaine, the Doctor's group converges on City Hall and eventually capture Blaine after chasing her through repeated uses of a teleporter. She tells the group that the teleporter is how she escaped the destruction of the rest of her family, and that she hopes that, as planned, the meltdown of the plant would open the Rift and destroy the planet, herself using a hidden tribophysical waveform macro-kinetic extrapolator — a pan-dimensional surfboard — to escape the explosion. The Doctor notices that the name of the plant, Blaidd Drwg, is Welsh for "Bad Wolf", a phrase that he and Rose have observed before in their adventures. The Doctor tells Blaine he will take her back to her home planet of Raxacoricofallapatorius, but Blaine notes that the Slitheen family are convicted criminals there and she will be executed, which the Doctor insists is not his problem.
Jack recognizes that the extrapolator can be used to halve the time to refuel the TARDIS, and stays there to install it. Rose and Mickey go out for a drink to discuss their relationship; Mickey admits he's dating someone else since Rose seemingly left him for the Doctor, which angers Rose. At the request of Blaine, the Doctor joins her for one last meal at her favourite restaurant, equipped with bracelets that will electrocute Blaine if she gets more than three metres away from the Doctor. Blaine attempts to kill the Doctor through various means, but the Doctor is able to casually block the attempts. Blaine then attempts to gain the Doctor's sympathy, explaining how she will be executed and if he could take her to a different planet instead. However, before the Doctor can make his decision, a large earthquake shakes the area.The group reassembles in the TARDIS, where a bright column of light is shooting up overhead. Jack tells the Doctor that it is the power from the Rift, brought upon by the extrapolator. The Doctor realizes that this was Blaine's plan all along—that the extrapolator when used would be found by someone of advanced enough technology to recognize the Slitheen, who would hopefully activate the device, causing it to lock onto the nearest alien power source, which happens to be the TARDIS, thereby tearing open the Rift and eventually the Earth, while she rides the device to escape the destruction. Blaine takes Rose hostage and demands the extrapolator, but before she can use it, the heart of TARDIS opens and shines in her face; the light overtakes her, and shortly her skin suit falls empty to the console floor. The Doctor and Jack manage to close the TARDIS console and reseal the Rift once more. When they investigate the suit, they find a Slitheen egg; the Doctor surmises as the TARDIS is telepathic, it may have sensed that Blaine wanted a second chance and gave that to her. As the Doctor, Rose, and Jack prepare to travel to Raxacoricofallapatorius to deliver the egg, Rose realizes that Mickey has left; the Doctor offers to wait for him, but Rose lets him go, wishing that she could also have a second chance.