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Have a look at the picture below.
What do you see?
What do you notice?
What do you wonder?
What would you draw in the empty boxes?
How could you extend the table so that it has more rows or more columns?
Put up the image for all to see and ask the three opening questions:
Give learners chance to talk in pairs, and then bring everyone together to share thoughts, ideas and questions. Try to keep a record of 'wonderings' on the board to come back to later. Use the discussion to draw out the table structure so that children can see why there is a blue triangle in that particular cell, for example.
You may well find that the idea of drawing shapes into the empty cells comes up naturally, but if not, pose the question specifically. You could give out copies of this sheet, one for each pair, and invite them to complete the table.
What shapes will go in this row? How do you know?
What colour shapes will go in this column? How do you know?
What might go in this box? How do you know?
A challenging extension to this problem would be the Teddy Town investigation.
You may wish to provide pictures of the missing shapes for some children. This sheet has the grid on it with the missing shapes underneath, which children could cut out and place in the boxes.
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?