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For younger learners

  • Early Years Foundation Stage

Flexibility in Geometry

Flexibility in Geometry

In this feature for Primary teachers, you will find tasks to help learners develop their flexibility in a geometrical context. A flexible approach applies to a range of situations - perhaps being stuck on a problem and being flexible to try an alternative path; perhaps recognising that a task can have more than one solution; perhaps checking a solution using a different approach; or perhaps thinking flexibly to create a new problem related to one you have just tried. We hope you enjoy sharing these tasks with your classes.

Let's Get Flexible with Geometry 
Age 5 to 11

In this article for primary teachers, Ems explores ways to develop mathematical flexibility through geometry.

Repeating Patterns 
Age 5 to 7
Challenge Level Yellow star

Try continuing these patterns made from triangles. Can you create your own repeating pattern?

Paper Partners 
Age 5 to 7
Challenge Level Yellow star

Can you describe a piece of paper clearly enough for your partner to know which piece it is?

Board Block 
Age 5 to 7
Challenge Level Yellow star

Take it in turns to make a triangle on the pegboard. Can you block your opponent?

Shadow Play 
Age 5 to 7
Challenge Level Yellow starYellow starYellow star

Here are shadows of some 3D shapes. What shapes could have made them?

Tangram Tangle 
Age 5 to 7
Challenge Level Yellow starYellow starYellow star

If you split the square into these two pieces, it is possible to fit the pieces together again to make a new shape. How many new shapes can you make?

Jig Shapes 
Age 5 to 11
Challenge Level Yellow star

Can you each work out what shape you have part of on your card? What will the rest of it look like?

Tangrams 
Age 5 to 11
Challenge Level Yellow starYellow star

Can you make five differently sized squares from the interactive tangram pieces?

Tangram Browser 
Age 7 to 11

Explore our selection of interactive tangrams. Can you use the tangram pieces to re-create each picture?

Guess What? 
Age 7 to 11
Challenge Level Yellow star

Can you find out which 3D shape your partner has chosen before they work out your shape?

Shape Draw 
Age 7 to 11
Challenge Level Yellow star

Use the information on these cards to draw the shape that is being described.

Always, Sometimes or Never? Shape 
Age 7 to 11
Challenge Level Yellow star

Are these statements always true, sometimes true or never true?

Square Tangram 
Age 7 to 11
Challenge Level Yellow starYellow star

This was a problem for our birthday website. Can you use four of these pieces to form a square? How about making a square with all five pieces?

Stringy Quads 
Age 7 to 11
Challenge Level Yellow starYellow star

This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

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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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