Research-based guidance and classroom activities for teachers of mathematics.
These online resources accompany the book Key ideas in teaching mathematics. They are organised around seven key mathematical ‘ideas’, with links to relevant online activities and resources for teachers to use with their students. The resources have been selected by the authors of the book, Anne Watson, Keith Jones and Dave Pratt.
Quantities and algebraic expressions
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Algebra 1 – Perimeterhttp://nrich.maths.org/7283/note
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Algebra 2 – Performing number magichttp://www.nationalstemcentre.org.uk/elibrary/resource/2022/performing-number-magic-a9
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Algebra 3 – Evaluating algebraic expressionshttp://www.nationalstemcentre.org.uk/elibrary/resource/2002/evaluating-algebraic-expressions-a4
Algebra 4 – Number spirals resource is no longer available.
Algebra 5 – (Generating by) using a formula resource is no longer available.
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Algebra 6 – Languagehttp://www.nationalstemcentre.org.uk/elibrary/resource/7383/algebra-makes-sense
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Algebra 7 – Equivalencehttp://www.nationalstemcentre.org.uk/elibrary/resource/7383/algebra-makes-sense
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Algebra 8 – Keeping the pizza hothttp://www.bowland.org.uk/projects/keeping_the_pizza_hot.html
Ratio and proportional reasoning
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Ratio 1 – Cooking numbershttp://www.nationalstemcentre.org.uk/elibrary/resource/7387/ratio-makes-sense
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Ratio 2 – Zin Obeliskhttp://nrich.maths.org/5992
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Ratio 3 – Ratios and dilutionshttps://nrich.maths.org/6882&part=
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Ratio 4 – Product warshttp://www.bowland.org.uk/projects/product_wars.html
Ratio 5 – Balancing 2 resource is no longer available.
Connecting measurement and decimals
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Measurement 1 – The Greenest Routehttps://www.stem.org.uk/resources/elibrary/resource/25359/greenest-route
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Measurement 2 – Containershttps://www.stem.org.uk/resources/elibrary/resource/26099/containers
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Measurement 3 – More Miles for Your Moneyhttps://www.stem.org.uk/resources/elibrary/resource/25357/more-miles-your-money
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Measurement 4 – Stretchinesshttps://www.stem.org.uk/resources/elibrary/resource/25499/stretchiness
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Measurement 5 – Accessible Spaceshttps://www.stem.org.uk/resources/elibrary/resource/25353/accessible-spaces
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Measurement 6 – Changing Areas, Changing Perimetershttp://nrich.maths.org/7534
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Measurement 7 – Crescents and Triangleshttp://nrich.maths.org/879
Measurement 8 – Angle A resource is no longer available.
Spatial and geometrical reasoning
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Geometry 1 – Designing Logoshttps://www.stem.org.uk/resources/elibrary/resource/25320/designing-logos
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Geometry 2 -Packaginghttps://www.stem.org.uk/resources/elibrary/resource/25352/packaging
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Geometry 3 – Playground Snapshothttp://nrich.maths.org/896
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Geometry 4 – Tilling Platformshttps://www.stem.org.uk/resources/elibrary/resource/25325/tiling-patterns
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Geometry 5 – Pentakitehttp://nrich.maths.org/1938
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Geometry 6 – Where are they?http://nrich.maths.org/1058
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Geometry 7 – Pythagoras Proofhttp://nrich.maths.org/6553
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Geometry 8 – Proximityhttp://nrich.maths.org/326
Geometry 9 – Rotating Triangle resource is no longer available.
Reasoning about data
Data 1 – How Faithful is Old Faithful? resource is no longer available.
Data 2 – Who Has the Heaviest Backpacks? resource is no longer available.
Data 3 – Fish Length Distributions resource is no longer available.
Data 4 – Crime Scene Evidence resource is no longer available.
Data 5 – Using Random Samples of Real Data resource is no longer available.
Data 6 – Data Visualisation resource is no longer available.
Data 7 – Data With No Name resource is no longer available.
Data 8 – Active Graphing resource is no longer available.
Reasoning about uncertainty
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Uncertainty 1 – ChanceMaker softwarehttps://drive.google.com/file/d/1HPXlxZ5Zi_axkrQ0sURmAHDmQjxMuhuB/view
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Uncertainty 2 – Games leading to ideas on probabilityhttp://www.nationalstemcentre.org.uk/elibrary/resource/2718/probability-and-statistics
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Uncertainty 3 – Using probability computer gameshttp://www.nationalstemcentre.org.uk/elibrary/resource/2038/using-probability-computer-games-s3
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Uncertainty 4 – Evaluating probability statementshttp://www.nationalstemcentre.org.uk/elibrary/resource/2037/evaluating-probability-statements-s2
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Uncertainty 5 – Design a Board Gamehttp://www.nationalstemcentre.org.uk/elibrary/resource/342/design-a-board-game
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Uncertainty 6 – Which Spinners?http://www.nationalstemcentre.org.uk/elibrary/resource/402/which-spinners
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Uncertainty 7 – Rabbitshttp://www.nationalstemcentre.org.uk/elibrary/resource/352/rabbits
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Uncertainty 8 – How risky is life?http://www.bowland.org.uk/projects/how_risky_is_life.html
Uncertainty 9 – Deborah’s Dilemma resource is no longer available.
Functional relations between variables
Functions 1 – Algebra arrows resource is no longer available.
Functions 3 – Balance strategy resource is no longer available.
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Functions 4 – Six Parabolashttp://www.s253053503.websitehome.co.uk/risps/risp17.html
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Functions 5 – Maths Shop Windowhttp://nrich.maths.org/6904
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Functions 6 – Population Dynamicshttps://nrich.maths.org/7827
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Functions 7 – Keeping the pizza hothttp://www.bowland.org.uk/projects/keeping_the_pizza_hot.html