The announcement for a second all-through school - from nursery to sixth form - was made during a visit on Tuesday (July 12) afternoon, much to the delight of teaching staff.
Principal Ed Vainker said: “We are proud of the success of the first Reach Academy and we look forward to deepening our impact in the community.
“The demand from parents for places at the school has been high and this new school will deliver once again from the families of Feltham, Bedfont and Hanworth.
“The same core principles will be at the heart of the new school: strong relationships with pupils and families, an all-through commitment and the highest expectations for all children.”
The visit which was his final public appearance as he prepared to step down, saw the Mr Cameron mingling with primary and secondary pupils, a visit to the recently opened on site school farm as well as eating a hearty lunch with Year 10 students.
'Will you become a farmer next?'
While in conversation with the younger children, Year 2 pupils asked Mr Cameron, who will be replaced by Theresa May - the first female leader in over two decades - whether he would opt to become a farmer or a teacher next, to which he plumped for teacher.
He is reported to have spoken to the pupils about the historic moment as a female Prime Minister steps up to lead the country for the first time in 26 years.
He also met with senior staff and members of the school council.
Mr Cameron who announced 31 new free schools across the country, said: "I am proud of what this government has achieved, working with heads and teachers to raise standards so that our young people have the best possible start in life."
Reach Academy opened its doors in 2012 at a temporary site on Hanworth Road to a cohort of 60 pupils in reception and 30 pupils in Year 7, growing every year to become an all-through school.
In November 2014, pupils moved into their permanent home on the High Street , and just last year it received its first outstanding Ofsted report.
Founders Ed Vainker, Rebecca Cramer and Jon McIntosh and chair of governors, Jen Hall, said they were delighted with the news, which allows them to expand in the local area.
The new school will go hand-in-hand with the planned ‘Reach Children’s Zone,’ a community hub, working with children and families throughout Feltham.