Square surprise

Why do you think that the red player chose that particular dot in this game of Seeing Squares?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem

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.

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Square Surprise
 

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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Square Surprise