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<mdoxml version="1.0"><p style="text-align: center;">This activity is an extension for "<a href="http://nrich.maths.org/7810">What's Happening?</a>". If you have not come from there then visit that first.</p>
<p style="text-align: left;">A second idea could start with this;</p>
<p style="text-align: center;"><mdo:image src="Sep%201.jpg"></mdo:image> then <mdo:image src="Sep%202.jpg" style="text-align: -webkit-auto;"></mdo:image> and then <mdo:image src="Sep%203.jpg" style="text-align: -webkit-auto;"></mdo:image></p>
<p style="text-align: left;">So what would the next one look like? And the next? And the next? And the next?</p>
<p style="text-align: left;">What would come next? Why?</p>
<p style="text-align: left;">Can you invent something like these for your friends to solve?</p></mdoxml>
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<h3><span style="font-weight: bold;">Why do this problem?</span></h3>
<div>This <a href="http://www.nrich.maths.org/7810">activity</a> can be useful for pupils to puzzle out what hidden rules produce the pictures. It gives an opportunity for pupils to share their thoughts and reasoning about how the shapes differ. This skill is important in our theme this month which is coding. Children need to be able to identify rules and patterns from data in order to be able to
decode a piece of text so this task gives them practice in finding and describing these patterns and rules.</div>
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<h3>Possible approach</h3>
<div>It would be good to have large card versions of shapes for groups of children to sit round and discuss the things they notice about them. The children can then start to make the shapes that they predict will follow. Sharing these will enable the pupils to express clearly what they see is the "rule" that is taking place between the shapes.</div>
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<h3>Key questions</h3>
<div>Tell me about the shapes you think come next.</div>
<div>Why have you chosen this shape?</div>
<div>Why does it go there?</div>
<div>Can you describe a rule that explains what you are doing each time?</div>
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<h3>Possible extension</h3>
<div>So here we have a picture, what could come before it as well as after it?</div>
<div style="text-align: center;"><mdo:image src="oct.jpg"></mdo:image></div>
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<h3>Possible support</h3>
<div>Some pupils may need help in saying what they think as well as listening to others and thinking about what others have said.</div>
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<mdoxml version="1.0"><p>What is the difference between the first shape and the second shape?</p>
<p>Where has the extra piece been added?</p></mdoxml>
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What's happening next?
Shapes are added to other shapes. Can you see what is happening? What is the rule?
Applications
Codes and cryptography