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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Geometry Journeys

### Purposeful Paper Folding

### Paper Partners

### Paper Patchwork 1

### Paper Patchwork 2

### Folding Flowers 1

### Folding Flowers 2

### Regular Rings 1

### Fitted

### Modular Origami Polyhedra

### Regular Rings 2

Links to the University of Cambridge website
Links to the NRICH website Home page

Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

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What can you discover by simply folding and cutting paper?

The Geometry Journeys pathway on wild.maths.org introduces**students** to the wonderful world of paper folding. We hope it will deepen students' understanding of geometry and encourage them to be curious about what they see.

The collection of related NRICH tasks below are ideal for**teachers** who want to promote creativity in the classroom. They are designed for classroom use, with accompanying Teachers' Notes and Resources.

The Geometry Journeys pathway on wild.maths.org introduces

The collection of related NRICH tasks below are ideal for

Age 5 to 11

In this article for primary teachers, Fran describes her passion for paper folding as a springboard for mathematics.

Age 5 to 7

Challenge Level

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

Age 5 to 7

Challenge Level

Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?

Age 5 to 7

Challenge Level

Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?

Age 7 to 11

Challenge Level

Can you visualise what shape this piece of paper will make when it is folded?

Age 7 to 11

Challenge Level

Make a flower design using the same shape made out of different sizes of paper.

Age 7 to 11

Challenge Level

Can you work out what shape is made by folding in this way? Why not create some patterns using this shape but in different sizes?

Age 7 to 11

Challenge Level

Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

Age 7 to 16

Challenge Level

These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.

Age 7 to 11

Challenge Level

What shape is made when you fold using this crease pattern? Can you make a ring design?