"a textbook performance" is correct and usable in written English.
You can use it to describe anything that has been done in a particularly impressive or flawless way. For example, "The team's performance in the championship game was a textbook performance - they showed perfect teamwork and skill."
Scotland produced an almost textbook performance.
This was almost a textbook batting performance by England.
But although they are new to this level, in Gary Johnson they have an old hand of a manager and this victory was almost a textbook away performance.
Notaro's shirtless performance was a textbook illustration of what these phrases mean, and why they are good advice.
The violinist Kyu Young Kim was the leader and an eloquent soloist in a vivid account of Shostakovich's Chamber Symphony, an arrangement of his String Quartet No. 8. Urgent but never manic, the performance was a textbook example of precise dynamic control, with penetrating playing from another cellist, Dan McDonough.
Lexington is almost a textbook case of a high-performing school district that had dismissed the low performance of its low-income and African American students for years, until a determined superintendent found a way to serve them better.
A pilot study carried out for Houghton Mifflin Harcourt, a textbook publisher based in Boston, compared the performance of two groups of children over the course of a year at the Amelia Earhart Middle School in Riverside, California.
It's a sensational sequence that highlights an actor's probing and craft, a textbook example of subtle thinking and precise performance that makes an audience feel, snapping down the benevolent jaws of the theatrical trap.
A textbook example of the power of simplicity, their performance will be repeated tomorrow night and Sunday afternoon.
