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Here is a grid:
Can you position these ten letters in their correct places according to the eight clues below?
There are two main parts to this problem. Firstly, learners need to identify the symmetries of various capital letters. Secondly, they need to practise reading coordinates. The problem should be approached systematically because some of the clues are not straightforward.
After this learners could work in pairs on the problem so that they are able to talk through their ideas with a partner. They could use this sheet which has letters that can be cut out and moved around. Alternatively, the problem could be tackled on squared paper and the letters drawn on in pencil so that they can be altered easily.
What kind of symmetry does this letter have?
Where could this letter go on the grid? How do you know?
Which letters fit this clue?
Learners could explore and list the symmetries of all the other letters of the alphabet.
Children could start by identifying the symmetries of the letters, listing whether they have vertical or horizontal line symmetry, rotational symmetry or no symmetry at all. They can then refer to their list as they try to place letters on the grid.
This investigation explores using different shapes as the hands of the clock. What things occur as the the hands move.
What are the coordinates of this shape after it has been transformed in the ways described? Compare these with the original coordinates. What do you notice about the numbers?
A shape and space game for 2, 3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board.