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For younger learners

  • Early Years Foundation Stage

Multiple Representations

Multiple Representations

When children are curious about why something works, multiple ways of representing the same concept or idea can offer insights and deepen understanding.  The problems below will give your learners opportunities to consider different representations, whether they are created by the children themselves or by someone else.

Catrina's Cards 
Age 5 to 7
Challenge Level Yellow star

How would you find out how many football cards Catrina has collected?

Triangle or No Triangle? 
Age 5 to 7
Challenge Level Yellow star

Here is a selection of different shapes. Can you work out which ones are triangles, and why?

Birthday Sharing 
Age 5 to 7
Challenge Level Yellow star

It's Sahila's birthday and she is having a party. How could you answer these questions using a picture, with things, with numbers or symbols?

Name That Triangle! 
Age 7 to 11
Challenge Level Yellow star

Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

The Remainders Game 
Age 7 to 14
Challenge Level Yellow star

Play this game and see if you can figure out the computer's chosen number.

Magic Crosses 
Age 7 to 14
Challenge Level Yellow star

Can you find examples of magic crosses? Can you find all the possibilities?

Remainders 
Age 7 to 14
Challenge Level Yellow starYellow star

I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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