The Dallas school district's proposed anti-bullying policy now includes language that prohibits bullying on the basis of race, gender and sexual orientation.
Critics said an earlier version of the Dallas Independent School District proposal was too vague.
"You cannot assume kids in school will read between the lines and understand who it applies to," said Roger Poindexter, a gay and lesbian advocate.
The Board of Trustees agreed Thursday to add wording that specifically says bullying someone because of race, gender or sexual orientation will not be tolerated.
Trustee Eric Cowan said he was glad language mentioning sexual orientation and gender identity was added to the proposed policy.
Anti-bullying advocates say the new policy is needed.
"The students need to know that they're protected, and we need to hold the teachers and administrators accountable," said LULAC's Jesse Garcia.
Garcia said he worked with a student who was bullied in high school. Fellow students threw books and school supplies at the teenager, he said.
"He went through hell. I'm surprised he managed to survive it," Garcia said.
The board is expected to vote on the proposed bullying policy on Nov. 18. The proposal seems to have widespread support among trustees.
"They need to understand what bullying is and what you can get in trouble for," Trustee Bernadette Nutall said.
The issue of bullying in school has drawn recent attention after several students across the country, including a boy in Houston, were bullied over sexual orientation.