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Powers, Roots and Number Types: 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.

Square Numbers and Square Roots
Square Number Tasks
More Square Number Tasks
Alternating Squares
Squaring (100 + something)
Square Numbers and 32 Points
Magic Triangle
Square Diamond
Square Numbers
Multiply a Square by a Number and add 1
A five digit square number
Squares and their Predecessors
Two numbers sum to a square number
ABC
Residue 1
Fraction Approximations to Square Roots
Alternating Squares

Cube Numbers
Sum and Difference of 2 cubes
Cube Number Problems
1 off a cube
Sum of the Cubes

Triangle Numbers
Handshakes
Triangular Number Pictures
Triangular Numbers Squared
Not Next Doors
Meaned Triangle Numbers
Triangle Number Proofs
Triangular Number Building Blocks
Systematic Counting of Triangles
Domino Sums

Figurate Numbers
Corner Polygonal Numbers
Centre Polygonal Numbers
Cables, and Centred Hexagonal Numbers
Shells and Hexagons

Powers
Find the Power
Doubling
Powers of 2
Powers of 3
Powers of 4
Powers of 5
Powers of 10
Powers of 11
Powers Sums
n to the n
Sierpinski
Rice Grains Multiplied

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.

Sissa's Reward
Generating Triples
Power Countdown

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.

Venn Diagram – Types of Number
Number Snakes
Summing Consecutive Numbers
James Tanton's Curriculum Essay December 2012: Troublesome Zero