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She will be replaced by Martin Murphy, director of community development at the Richard Rose Foundation in Cumbria, which operates two academies in Carlisle.
In a letter to parents, chairman of governors Celia O'Donovan said Mrs Green is leaving to lead a school in the home counties.
She said: “It is easy to take for granted all that has been achieved during Mrs Green’s period as headteacher.
“Every aspect of giving students the best possible life chances for the future and opportunities for personal development has progressed markedly.”
“In academic performance the school has improved on its own examination performance records year after year; the vast range of sporting and extra-curriculum activities continues to expand; music and drama move on from strength to strength.
“The science block, newer facilities such as the teaching block and the all-weather sports area have all been fully integrated into the life and work of the school but perhaps the most significant event in the history of the school occurred when Arden received the approval to move to 11-19 status with a full Sixth Form.”
She hailed her involvement in the school's transition to academy status, which gives it more independence from Solihull Metropolitan Borough Council.
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