The bill by Dallas Democratic Sen. Royce West cleared the Senate May 1.
The House will likely vote on it on Tuesday -- but has proposed enough changes to send its version to conference committee to be reconciled with what the Senate passed.
The measure would allow the state education commissioner to transfer a school into a new statewide "achievement district" for rigorous overhaul after two consecutive years of low student test scores.
Also up for House consideration is a proposal modifying how teachers are evaluated statewide. As originally filed, the bill tied evaluations to student test scores, drawing criticism.
But the latest version of the bill drops that provision.
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