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Cronton Church of England Primary School

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White Rose Long Term Plan Y1 - Y6

Progression in Calculations using Concrete, Pictorial and Abstract examples

Concrete, Pictorial, Abstract Policy

Our CPA policy has been put in place to support the children's learning and understanding of maths. There is no specific way a year group is taught. Each year will uses the CPA method to ensure all children understand the principles behind the operations before moving on to the more formal and efficient abstract method. 

The Concrete Pictorial Abstract (CPA) approach is a system of learning that uses physical and visual aids to build a child’s understanding of abstract topics. Pupils are introduced to a new mathematical concept through the use of concrete resources (e.g. fruit, Dienes blocks etc). When they are comfortable solving problems with physical aids, they are given problems with pictures – usually pictorial representations of the concrete objects they were using.

Then they are asked to solve problems where they only have the abstract i.e. numbers or other symbols. Building these steps across a lesson can help pupils better understand the relationship between numbers and the real world, and therefore helps secure their understanding of the mathematical concept they are learning.