Conjecturing and generalising
problem
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Seeing parallelograms
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.
problem
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Rhombus it
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.
problem
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Parallelogram it
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.
problem
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What numbers can we make now?
Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
problem
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More less is more
In each of these games, you will need a little bit of luck, and your knowledge of place value to develop a winning strategy.
problem
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Three neighbours
Take three consecutive numbers and add them together. What do you notice?
game
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Dicey array
Watch the video of this game being played. Can you work out the rules? Which dice totals are good to get, and why?
problem
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Guess what?
Can you find out which 3D shape your partner has chosen before they work out your shape?