Dynamic Explorations
Mathematicians often use tools to help them to make discoveries. The problems in this feature encourage you to use dynamic geometry and other interactive tools to explore, pose questions, make conjectures and prove ideas.
Polygon Rings Age 11 to 14Challenge Level 
Age 11 to 14
Challenge Level
Join pentagons together edge to edge. Will they form a ring?
Shifting Times Tables Age 11 to 14Challenge Level
Age 11 to 14
Challenge Level
Can you find a way to identify times tables after they have been shifted up or down?
Semi-regular Tessellations Age 11 to 16Challenge Level
Age 11 to 16
Challenge Level
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
Using Geogebra Age 11 to 18
Age 11 to 18
Never used GeoGebra before? This article for complete beginners will help you to get started with this free dynamic geometry software.
Quad in Quad Age 14 to 18Challenge Level
Age 14 to 18
Challenge Level
Join the midpoints of a quadrilateral to get a new quadrilateral. What is special about it?
Surprising Equalities Age 14 to 18Challenge Level
Age 14 to 18
Challenge Level
Take any triangle, and construct squares on each of its sides. What do you notice about the areas of the new triangles formed?
Pentagon Construction Age 16 to 18Challenge Level
Age 16 to 18
Challenge Level
Follow the instructions to create a regular pentagon. Can you prove it is indeed regular?
Fantastic Fractals Age 11 to 18
Age 11 to 18
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