There were some tetchy exchanges as the DUP minister addressed questions from MLAs.
Sinn Féin MLA Pat Sheehan, deputy chair of the committee, questioned why the pitch upgrade was being provided to a school which "has already got state-of-the-art facilities".
"This is the issue where a considerable amount of funding has gone into, when it doesn't need it. Now you explain that," he said to the minister.
"And I'm not criticising the school in any way, but this seems to be a pet project for your party and it's beginning to smack of cronyism."
Givan rejected the claims and said the EA's board includes different party political representatives, including from Sinn Féin.
The minister said that people would "rightly ask questions of schools that have and schools that have not", and he wanted to address disparities.
Sheehan accused Givan of "bluster", "belligerence" and "insulting people who ask questions, when what we're looking for is honesty, integrity and transparency".
The minister responded: "I reject the characterisation of everything that Mr Sheehan said in terms of the lack of transparency, honesty and integrity.
"I find it a bit rich coming from Sinn Féin."