Conjecturing and generalising
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problemTriangle Pin-Down
Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.
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problemDotty Circle
Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?
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problemPolygonals
Polygonal numbers are those that are arranged in shapes as they enlarge. Explore the polygonal numbers drawn here. -
problemMaking Spirals
Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.
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problemApproaching Midnight: Get Started
Like a bit of help getting into the game? Then have a look at this.
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problemApproaching Midnight: What Next?
Want some suggestions about where to go next with the game?
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problemApproaching Midnight: Taking It Further
Here we offer some suggestions about how you could take the Approaching Midnight game further.
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problemApproaching Midnight: The Ultimate
Want a serious challenge? Have a look at these ideas for changing the Approaching Midnight game.
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problemApproaching Midnight: First or Second?
Jennie tried the Approaching Midnight game and wondered if it matters whether you go first or second.