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Area of Quadrilaterals: 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.

Contents

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.

Area of Rectangles
Square Fitting
An 11 by 11 Square
Cloudy Rectangles
Rectangle to a Square
Generalising GCSE Questions: Area of Rectangles
Grid Rectangles

Area and Perimeter of Rectangles Together
Perimeter and Area
Paths around a lawn
Square is Best
Area and Perimeter of Rectangles
Square Dissections
Area and Perimeter Substitution
Dominoes
Rectangles

Area of Quadrilaterals
Area 8
Quadrilaterals to a Rectangle
Kite Areas
Euclid’s Parallelogram
Quadrilateral in a Square
Sloping Isosceles Trapezium
Matching Shapes to Measures
One less side, same area
Quartering a Parallelogram
Area of Parallelograms
Decomposition
Rhombus

Area of Trapeziums
Right Trapeziums
Right Angle Trapeziums
Areas of Isosceles Trapeziums
Thirds
Trapezium Bit Areas
Pythagoras Trapezia

Area of Other Shapes
Transformers
Area for a Fixed Perimeter
Square Cuts
Area
Isometric Shape Areas
Dissection
Make into a Square
Sam Lloyd’s Dissection Puzzle

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.

Can They Be Equal?
Fence It

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
Venn Diagrams – Perimeter, Area and Volume
Inquiry Maths 4 x 3 Rectangle

James Tanton's Curriculum Essay August 2012: The Paradox of Area