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Pythagoras (2D and 3D): 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.

2D Pythagoras
Grid Rectangles
Pythagoras and Surd Forms
Skew Squares
Largest Square
Windmills
Right Angle with Fixed Perimeter
Square Cuts
1847 Sangaku Problem
Pyrhagore
Parallelogram Law
Co-ordinates of an Isosceles Trapezium
Point or Not?
Sangaku Like Problems
James Garfiled Pythagoras Proof
Similar Triangles
3 Points Determine a Circle
Pixels per Inch
Kite Areas
Grid Moves
Generalising GCSE Questions 1 - Pythagoras and Similar Shapes

Pythagoras Triples
Pythagorean Triple Generators
Pythagorean Triple Rectangle Dissectors
Variations with a Theme
Pythagorean Triples and Area
Difference of 2 Squares
Pythagorean Bombers
Twisted Rectangle
Pythagorean Triples
Incircle of a Right Angle

3D Pythagoras
Spider on a Cuboid
Cuboid Diagonal
3D Trigonometry and Pythagoras
Garden Shed

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.

Tilted Squares
Inscribed in a Circle
Semi-detached
Ladder and Cube
Where to Land
Garden Shed
The Spider and the Fly
Three Cubes
Pythagoras Proofs

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.

Tilted Squares
Inquiry Maths Right Angled Triangles

James Tanton's Curriculum Essay May 2014: Pythagoras Precursor
James Tanton's Curriculum Essay June 2014: Absolute Value