Morgan, who taught at an international school in Zambia, was one of 116 people who died when the flight from Burkina Faso to Algeria crashed on Thursday.
Tributes to Morgan, pictured right, believed to have been from Liverpool, have been posted online by colleagues.
One tribute, from Andy Vasily, said: "RIP Dave Morgan. Truly tragic. Prayers to his family and other victims."
Yesterday, the aircraft's black box was recovered leading to hopes the cause of the crash will be discovered.
An act of terrorism has not yet been ruled out but officials say bad weather is the most likely cause.
Morgan taught secondary school-aged children at Lusaka International School in the Zambian capital.
Prime Minister David Cameron said he was "deeply saddened" by Morgan's death.