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/richtasks.htm
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What numbers take the most steps to reach a root? How about the least steps?<br /> Why?<br /> <br /> When does a number have a root of 0? <br /> Why?<br /> <br /> What is the largest 3 digit number that has a root of:<br /> 4<br /> 6<br /> 5<br /> <br /> Find all the options that have roots of 7 and 9<br /> Explain your strategy?<br /> How do you know you have them all?<br /> <br /> How many numbers have a root of 2?<br /> How do you know you have them all?<br /> <br /> What is the largest number with an odd number root? <br /> <br /> What is the common property of numbers that give an odd number root and why? <br /> <br /> How many numbers are there with an odd root?<br /> <br /> How can you obtain a root of 9?<br /> <br /> What happens to numbers with a 5 in them? <br /> <br /> By working backwards, find all of the 33 numbers that have a root of 5.<br /> <br /> Think of your own question to investigate<br />
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