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.

The last day for sending in solutions to our live problems is Monday 7 December.

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

Repeating Patterns live

Age 5 to 7 Challenge Level:
Try continuing these patterns made from triangles. Can you create your own repeating pattern?

Paper Partners live

Age 5 to 7 Challenge Level:
Can you describe a piece of paper clearly enough for your partner to know which piece it is?

Board Block live

Age 5 to 7 Challenge Level:
Take it in turns to make a triangle on the pegboard. Can you block your opponent?

Shadow Play 

Age 5 to 7 Challenge Level:
Here are shadows of some 3D shapes. What shapes could have made them?

Tangram Tangle 

Age 5 to 7 Challenge Level:
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 live

Age 5 to 11 Challenge Level:
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:
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? live

Age 7 to 11 Challenge Level:
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:
Use the information on these cards to draw the shape that is being described.

Always, Sometimes or Never? Shape live

Age 7 to 11 Challenge Level:
Are these statements always true, sometimes true or never true?

Square Tangram 

Age 7 to 11 Challenge Level:
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:
This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!