The school, situated in the West End of Newcastle, caters for the needs of pupils aged between two and 11 with a range of additional needs including complex, severe learning difficulties and profound and multiple learning difficulties.
Local businessman Rob Armstrong, a lifelong Magpies fan, is aiming to raise £85,000 for a project called The Cube, where a stand-alone log cabin will be built at the school which will house four trampolines, giving the children a fantastic play area as well as a meeting and general play area.
And Newcastle were delighted to pass on a contribution from the Club towards the scheme.
Rob, who is also raising money by donating his executive boxes at St. James' Park, bucket collections and various raffle events, said: "I've been doing numerous fundraising activities with the school since 2002 and this latest project is one we're all very excited about.
"Newcastle United have been very generous with their donation and it was great for the children to come and meet Alan, John and some of the players at the Training Centre."
Pardew added: "This is a very special project and one which will be of great benefit to the school. We were delighted to meet some of the children today and hope that The Cube comes to fruition in the not-too-distant future."
Hadrian School headteacher Chris Rawlings was also at the cheque presentation, and said: "It was a great thrill for us to come up to the Training Centre to meet Alan and some of his players. We thank Newcastle United enormously for their very kind donation."