School used in film is Stadium High School, Tacoma, Washington. The school was first built as a grand, chateau-style railroad station hotel but after it suffered fire damage, was renovated into a high school.
Several names reflect the Shakespearean origin of "The Taming Of The Shrew". Bianca's and Kat's last name is Stratford (William Shakespeare was born in Stratford-upon-Avon). Patrick's last name is Verona (birthplace of Petruchio, the corresponding character from the play). The high school is called Padua, which is the city in which the play is set. And the two girl's names are Kat and Bianca (the names of the girls are Bianca and Katherina [Kate] in the play.)
One of the taglines for this movie is "How do I loathe thee? Let me count the ways" which is an obvious play on "How do I love thee? Let me count the ways." Although this movie contains multiple references to William Shakespeare and "The Taming of the Shrew", the line "How do I love thee? Let me count the ways" was written not by Shakespeare, but by Elizabeth Barrett Browning. It is the first line of Sonnet 43 from Barrett Browning's "Sonnets from the Portuguese"
The original script was much darker than the one in the final film. In the original, Mandella (Kat's best friend) referred openly and frequently to several suicide attempts, which were so that she could join William Shakespeare.
There is a poster on the wall of Kat's room advertising the band called The Gits whose lead singer Mia Zapata was killed in Seattle in 1993. This goes along with Kat's liking of bands like Bikini Kill and The Raincoats.
The marching band in the sequence where Heath Ledger sings to Julia Stiles was not from Stadium High School, where the film was shot. Stadium was approached by the makers of the movie to do the scene, but did not have a marching band. The makers of the movie then contacted Lincoln High School, a nearby Tacoma school, who furnished the marching band depicted in the scene. Several members of the Stadium Band assisted, but had to be taught how to march.
The large sculpture in the background in the scene where Cameron approaches Bianca for help is not a set piece, but an actual mixed media sculpture known as the Fremont Troll, The Troll or The Troll Under the Bridge. Its location is under the north end of the Aurora Bridge.
The student Patrick pays off in the hallway is the actual leader of the Lincoln High School marching band mentioned above. The same band is depicted in the marching scene and also recorded the song Patrick sings to.