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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Open Spaces

### Circles, Circles

### Build it Up

### Spirals, Spirals

### Move Those Halves

### Roll over the Dice

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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Here are some starting points for mathematical exploration. What can you discover?

The Open Spaces pathway on wild.maths.org offers**students** some intriguing contexts to investigate.

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 Open Spaces pathway on wild.maths.org offers

The collection of related NRICH tasks below are ideal for

Age 5 to 11

Challenge Level

Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?

Age 7 to 11

Challenge Level

Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.

Age 7 to 11

Challenge Level

Here are two kinds of spirals for you to explore. What do you notice?

Age 7 to 11

Challenge Level

For this task, you'll need an A4 sheet and two A5 transparent sheets. Decide on a way of arranging the A5 sheets on top of the A4 sheet and explore ...

Age 7 to 11

Challenge Level

Watch this video to see how to roll the dice. Now it's your turn! What do you notice about the dice numbers you have recorded?