Madoka Ui/Plot

Background
Ui lives in one of Mikado City's temporary residences, presumably due to losing her home during the First Large-Scale Invasion. Since then, she has been saving money to be able to move her whole family to a house that allows cats. Around two years prior to Yūma Kuga's and Chika Amatori's enlistment she was already a Border Operator. Right after Kuniharu Kakizaki left Arashiyama Squad, Haruka Ayatsuji told her that he wanted to create a new Squad and she volunteered to be his Operator.

at some point, she used a Trion Body to diet as when discussing the effects of Trion bodies on metabolism, she says "it takes [her] back" while rubbing her belly.

Introduction Arc
Kakizaki Squad presumably takes part in the extermination of all Rads in Mikado City.

Large-Scale Invasion Arc
Ui presumably assisted her teammates during Aftokrator's invasion. After its end, Kakizaki Squad was the recipient of an Excellent Distinguished Service award.

Round Two
On February 5 Kakizaki Squad fights a rank war against Suzunari First, Urushima Squad and Nasu Squad. They score two points, but it is Kō Murakami who earns the survival bonus.

Round Three
Kakizaki Squad drops to the bottom group of B-rank after losing to Arafune Squad.

Round Four
After the fourth round, Kakizaki Squad climbs back to the middle group of B-rank.

Round Five (Night)
On the day of her Squad's match against Tamakoma Second and Katori Squad, Ui asks Kakizaki about his impression of Yūma. When he replies that Yūma struck him as a good guy, she light-heartedly retorts that it means nothing. She is impressed to hear that Tamakoma Second is already aiming to join the next away team despite its recent formation. Once the match starts, she warns her teammates about Tamakoma Second's attack from the rear, Katori Squad donning their Bagworms, and Chika's incoming Sniper fire. When Tomoe bails out from Yūma's and Chika's unpredictable tactics, Ui reassures him that there was nothing he could have done to prevent it. At the end of the match, when Kakizaki apologizes for having been overcautious, Ui is skeptical that a better result could have been achieved had they abandoned their safety measures, and insists that their priority should rather be to develop two-to-one formations to complement their stable, three-man Squad.

Round Eight
On the night of March 5, Kakizaki Squad gathers to spectate Tamakoma Second's match against Ninomiya Squad, Ikoma Squad and Yuba Squad. When Chika protects Yūma and herself against her own Meteor with a Fixed Shield, Ui notes that she has improved since their Squads clashed.