ORLANDO — The Florida Legislature is likely to pass a bill this week giving parents more influence over school textbook choices, in a move that opponents say is rooted in anti-Muslim bias.

The bill followed organized protests by parents and conservative political groups in November over a world history textbook in Volusia County on Florida’s east coast.

Critics, who also protested in Central Florida counties, complained the book by educational publisher Prentice Hall devoted an entire chapter to Islam but not to other religions.

The book controversy has also been sucked into the political debate over Common Core education standards in the state, which are opposed by groups seeking greater local control over education. The national standards initiative details what kindergarten through 12th-grade students should command in mathematics and English.

The Volusia school board stood behind the textbook, finding that information about Christianity and Judaism was woven throughout the book in historical context.

Republican Senator Alan Hays of Umatilla said the bill was also motivated by complaints from other citizens about textbooks on literature and math. Hays said he personally disapproved of the history book.

A Muslim civil rights leader based in Tampa said the bill would create a “costly and time-consuming mess for school districts,” and an opportunity for political and social bias to enter textbook decisions.

Hays’ initial bill, filed on February 5, would have placed all decisions about textbooks and instructional materials in the hands of local school boards, a job currently handled by the state.

A watered-down version that passed the House on Monday and that the Senate will vote on would keep the state selection process but provide parents a forum to bring challenges before their local boards.

The chapter about Islam is not the only cause for concern, said State Representative Dennis Baxley, a Republican from Ocala, “but information about sexual orientation and many different family-values issues.”