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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• How did you work out the area of each square?<br />
• Can you explain how to work out the areas in a way a Year 7 could understand?<br />
• How about a Year 11?<br />
• Which areas can you make?<br />
• What have all these areas got in common?<br />
• Which areas can you not make?<br />
• Can you explain why this is the case?<br />
• Which are the following areas could you make (try to answer this before you attempt to draw the squares): 25, 26, 27, 28, 29, 30<br />
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