Tes Maths ROTW: Diminishing fractions diagrams

Navigate students through the world of equivalent fractions, infinite sums and fractions of a shape with this diminishing fractions diagrams exercise, recommended by Tes Maths

Craig Barton

Fractions, Fractions Diagrams, Equivalent Fractions, Infinite Sums, Area Geometrical Properties Of Shapes, Ratio

Resource title: Diminishing fractions diagrams

Resource author: nyima_drayang

What is it?

Fractions can often be a bit of a minefield for students; even those in Year 11 who have had years of practice! So, step forward this challenging resource, which helps to present the subject in an accessible manner. 

Using the theme of diminishing areas, these rich tasks come complete with thought-provoking questions to get learners engaging in peer-to-peer discussion. It’s this aspect of the activity that enables them to gain a deeper understanding of abstract concepts such as equivalent fractions, infinite sums and fractions of a shape.

How can it be used?

This resource works best when used to help consolidate existing knowledge, so your pupils need to have a secure understanding of the basics of fractions to get the most out of it. In fact, with increasingly tricky questions covering crucial concepts and topics such as area, geometrical properties of shapes and ratio, this is not an exercise for the faint-hearted. But it’s absolutely worth persisting with…

To make sure you’re offering enough support, I'd suggest pairing students together and periodically stopping the class to allow discussions about possible strategies and assumptions.

Craig Barton

Craig is a secondary maths teacher in the North of England.

Why not keep up with the latest blog posts in our dedicated maths area?