Greentrees Primary School opened on Bishopdown Farm in September 2002. In November 2013, Greentrees School Governors were consulted by Wiltshire Council about expanding to a two form entry school with a Resource Base for pupils on the Autistic Spectrum. The additional site enables the school to serve the new estate of Riverdown Park in addition to Bishopdown Farm and Hampton Park. Parents and staff were consulted in January 2014. The school has now become two form entry from the Autumn of 2015. In January 2016 the Junior pupils moved to the new accommodation on Riverdown Park, whilst the Bishopdown Farm school has become the Infant site.
No date has been set for the opening of the Resource Base.