TALLAHASSEE (CBSMiami/AP) — Cyberbullying is serious business to Florida lawmakers and a bill meant to crack down on cyberbullying has cleared committee review and is headed to the Florida Senate.

The measure (SB 626) was unanimously approved by the Senate Rules Committee on Monday.

READ MORE: Woman Who Snuck Into American Sr. High Posing As Student To Promote Instagram Account Bonds Out

The bill would expand the authority of Florida’s public schools to discipline students for cyberbullying done through use of a school computer, at the site of a school-sponsored activity or on a school bus.

Sen. Dwight Bullard, the bill’s sponsor, said teachers and school administrators need the ability to protect students from online attacks.

READ MORE: Panic Buying Over Fuel Pipeline Shut Down Has Led To Long Lines At Some South Florida Gas Stations

The bill defines “cyberbullying” as harassment through the use of computers, technology or electronic communications.

The House already has passed its version of the bill.

MORE NEWS: Self Proclaimed "Witch" Shannon Ryan Charged With Second Degree Murder In Leila Cavett's Disappearance

(TM and © Copyright 2013 CBS Radio Inc. and its relevant subsidiaries. CBS RADIO and EYE Logo TM and Copyright 2013 CBS Broadcasting Inc. Used under license. All Rights Reserved. This material may not be published, broadcast, rewritten, or redistributed. The Associated Press contributed to this report.)