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Investigate the transformations of the plane given by the 2 by 2 matrices with entries taking all combinations of values 0, -1 and +1.

Use matrices to find out how much cake I eat.

Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.

A practical experiment which will introduce students to tree diagrams, and help them to understand that outcomes may not be equally likely.

Explore the power of aeroplanes, spaceships and horses.

The illustration shows the graphs of fifteen functions. Two of them have equations $y=x^2$ and $y=-(x-4)^2$. Find the equations of all the other graphs.