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For younger learners

  • Early Years Foundation Stage

Square Surprise

Age 5 to 11
Challenge Level Yellow star
  • Problem
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This problem is based on the game Square It, which you can find in Seeing Squares.  

Players take it in turns to click on a dot on the interactive grid.  The first player's dots will be blue and the second player's (or computer's) will be red. The winner is the first to have four dots of their own colour that can be joined by straight lines to form a square.

Have a go at playing the game a few times against the computer to get a feel for it.

Here is a picture taken part-way through a game.  It is blue's turn next.

 


Where would you go if you were the blue player?

Click on the 'Show' button below to see which dot the blue player chose.
Are you surprised?
Why do you think the blue player made that move?


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Tangrams

Can you make five differently sized squares from the interactive tangram pieces?

Geoboards

This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.

Polydron

This activity investigates how you might make squares and pentominoes from Polydron.

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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