Her absence was discovered in a head count at the end of the walk, back at the marae.
The girl was found by searchers some two hours later, and flown by helicopter to Hastings Hospital for treatment.
The whanau/board of Te Kura Kaupapa Maori o Ngati Kahungunu o Te Wairoa has analysed the incident and say they are following corrective processes.
The board declined to make further comment while disciplinary procedures were under way with the staff involved.
The kura says staff will be required to retrain in the appropriate Education Outside the Classroom (EOTC) safety procedures.
It is understood other schools are also reviewing their EOTC safety procedures in light of the Te Reinga incident.
In a statement the board says:
"The whanau/board of Te Kura Kaupapa Maori o Ngati Kahungunu o Te Wairoa has expressed regret and remorse to the child and whanau involved in the incident at Te Reinga and would like to publicly apologise.
"A mana-enhancing restorative justice approach has been undertaken, working with the whanau, staff and wider whanau of the kura in line with the philosophy of Te Aho Matua.
"The whanau/board focus is on unifying the whanau and continuing to follow our vision of fulfilling the proverb `Kia tu rangatira ai hei raukura mo tana iwi'."
Board of trustees spokesman Ropata Ainsley said a key lesson learned was that they should be vigilant at all stages in the care of children and follow the due processes that go with education outside the classroom.
"Vigilance is needed at all times but accidents do happen and when they do, the response should be in line with best practice for EOTC," he said.
The girl hurt in the fall was walking again three days after the accident and has been receiving physio treatment. She returned to the kura on a limited basis towards the end of last month.
Her whanau say they greatly appreciate the support of those who expressed their sympathy and empathy, particularly those organisations and individuals that responded during the accident - SAR, police and the Westpac helicopter.
"Ma te Atua tatau e manaaki, hei tiaki i tenei wahanga o te whanautanga mai a Ihu Karaiti. Meri Kihimete ki a koutou katoa."
- APNZ