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2D Similar Shapes: Rich Tasks

You cannot beat a good rich task! For me, a rich task is one that both stimulates and challenges students of all ages and abilities. Here is a selection of some of my favourites.

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Median Rich Tasks and Purposeful Practise keyboard_arrow_up
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There are no words to express how much I love Don Steward and his amazing resources on his Median Blog. They allow for purposeful practise, to enable students to gain fluency in key skills. But they also have more than a sprinkling of richness, that leads students merrily along the path towards hypotheses and generalisations. Amazing.

Similar Triangles
Drawing Similar Triangles
Similar Pairs
Similar Triangles
Pythagoras Plank
Two Similar Triangles
Meeting Point
Trapped Semi Circle
Trapezium Property
Similar Triples
1847 Sangaku Problem
A Five Reptile

Other Similar Shapes
Two Oblidal Similar Parts
Two Similar Shapes
More Similar Part Dissections
More Oblidal Similar Parts
Area Change?

NRICH keyboard_arrow_up
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NRICH is simply one of the best websites for rich maths problems in the whole wide world.

Trapezium Four
Nicely similar
Two ladders
Napkin

Other Rich Tasks keyboard_arrow_up
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A selection of some of my favourite rich tasks, including – I must confess – some of my own. For my complete collection, including my thoughts on what makes a good rich task, please visit the Rich Tasks page.

Will they Meet?
James Tanton's Curriculum Essay January 2013: Are Circles Similar?