"It was really troubling so we wanted to step in and offer support because school budgets have been decimated," he explained.
Previously a head teacher at a Leeds school, Mr Atkinson started Rethink Food, a non-profit organisation, after seeing hungry children struggling to concentrate in class.
"This goes back to 2014," he said, "when a child stood in front of me and said 'I'm hungry' - how can you teach a hungry child?
"We want to get the best learning experience for children so we need to meet their needs and a big part of that is making sure they are nourished."
The group has piloted the Food Pantry network, where schools receive educational support and £100 a week to help families with food parcels, shopping or cooking sessions.
Morley Victoria Primary School used the funding to set up a weekly free fruit stall for families in the playground and a supper club for pupils.
Assistant head teacher Kevin Precious said teachers had recognised the cost of living was putting pressure on more families.
"It can be families with two working parents, struggling because everything has gone up," he said.
"Food has gone up, the bills have gone up, the cost of childcare is massive, so, even if you are a working family, a lot of your wages are going towards paying for childcare."
He said the school had also noticed more families needing help to pay for trips and PE kit and children were asking for food at school.