Open Spaces

An exploration and challenge with some less usual cubes

A number exploration that gives the opportunity to develop a systematic approach.

An exploration involving number sequences and numbers associated with shapes - triangles, squares, pentagons etc.

Explore these arrangements of circles. This task challenges you to consider what your idea of the 'next size up' might be.

What happens when you overlap pieces of paper? You might want to look at shape and areas. It's an exploration that can lead ... who knows where?

Have a go at arranging numbers in a special way to get a certain total. The adventure starts when you try to find all the possible ways of doing this - how will you know you haven't left out any possibilities?

Investigate the number of squares or lines that make up these spirals as they grow. This task encourages you to create new spirals of your own to explore in similar ways.

Investigate the paths taken by a squirrel travelling to the corners of a quadrilateral but only going half-way each time. A wild exploration that may involve direction, area, length and shape!

An exploration involving quarters of shapes. You could take a look at some ways in which other people have been creative in response to this task!

Create your own grid of numbers following these simple rules. What fascinating patterns and connections can you find in the numbers? Be prepared to discover something new and perhaps surprising!