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Adding and Subtracting Fractions: 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.

Common Dechocoleator
Seven 20ths
Thirds and Fifths
Fraction Squares
Fraction Triangles
Adding Fractions using Rods
Denominator Thinking
Summing a Sequence of Fractions
Four Digits, Two Fractions
Fraction Addition Tasks
Egyptian Fractions
Subtracting Fractions
Fraction Subtraction

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.

Fractions Jigsaw
Peaches Today, Peaches Tomorrow...
Keep it Simple
Egyptian Fractions
The Greedy Algorithm
Twisting and Turning
More Twisting and Turning
Harmonic Triangle

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
Fraction Arrangement
Arithmagon - Adding Fractions
Build an Army - Fraction Arithmetic
Inquiry Maths The sum of two fractions equals their product
Inquiry Maths Adding Fractions Inquiry
Inquiry Maths Unit Fractions

James Tanton's Curriculum Essay March 2014: Fractions are Hard