Have a play around with this task, and please share any questions, extensions, simplifications, modifications, or lines of inquiry in the comment box below. The idea is to collect loads of suggestions that can then be used for effective differentiation. The full set of these tasks, along with additional notes, can be found here: http://www.mrbartonmaths.com/blog/probing-maths-questions-index-page/
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• What happens?<br /> • Can you explain why this happens in a way a Year 7 could understand?<br /> • Can you prove this using vectors?<br /> • Can you prove this using algebra?<br /> • What pattern do the original dots form for you to make it round in one series of leap? Why is this?<br /> • What would happen in there were 4 things to leap over?<br /> <br /> • Predict what would happen if you only leaped half of the distance towards each dot?<br /> • Now try it out<br /> • Try it stating from a different position<br /> • Can you explain this?<br /> • Now what about ¾ of the way?<br />
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