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Algebraic Proof: 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.

Algebraic
Multiple Proofs
Quadratic Patterns
Odd and Even Numbers
Two Numbers Sum to a Square Number

Number Based
Related Products
Grid Relationships
Place Value Algebra
Number Braids
Olympic Rings
Takes and Adders Generalisations
Triangular Number Proofs
N rem R
Hundred Number Grid
Right Triangle 1 to 7
Hard Haitch 1 to 7
Zorro 1 to 7
Plus
Tentative
7 Regions
Sum 46
Reversals
Creating Equality
Both Ways
Take a bite out
Quadratic Patterns
Positive Differences
Five Ways
Getting Three
Small Data Set Problems
Prime Intercept
Multiplication = Addition?
Division = Subtraction?
Two 2 digit Subtraction
Unlucky Sum

Geometric
Angle Proof
Isosceles Triangles
Area Change?
Growing Rectangles
Quartering a Parallelogram
Lunes
Sloping Rectangles
Sloping Isosceles Trapeziums
Mistrusting Diagrams
James Garfield Pythagoras Proof
Co-ordinate Geometry Proof
Not Next Doors
Quadrilateral in a Square 

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.

Why 24?
2-digit square
Always Perfect
Perfectly Square

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.

Positive Differences
Choose 3 Numbers
Number Reverse
Multiplication Reduction
1089
T-Totals
Function Machines