Write down two consecutive numbers.
Square each of them and find the difference.
Do the same for other pairs of consecutive numbers.
What do you notice?
How did you use this starter? Can you suggest
how teachers could present or develop this resource? Do you have any comments? It is always useful to receive
feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.
Click here to enter your comments.
If you don't have the time to provide feedback we'd really appreciate it if you could give this page a score! We are constantly improving and adding to these starters so it would be really helpful to know which ones are most useful. Simply click on a button below:
This starter has scored a mean of 3.0 out of 5 based on 384 votes.
Previous Day  This starter is for 10 October  Next Day
2^{2}  1^{2} = 3  3^{2}  2^{2} = 5  4^{2}  3^{2} = 7 
5^{2}  4^{2} = 9  6^{2}  5^{2} = 11  7^{2}  6^{2} = 13 
8^{2}  7^{2} = 15  9^{2}  8^{2} = 17  10^{2}  9^{2} = 19 
11^{2}  10^{2} = 21  12^{2}  11^{2} = 23  13^{2}  12^{2} = 25 
14^{2}  13^{2} = 27  15^{2}  14^{2} = 29  16^{2}  15^{2} = 31 
17^{2}  16^{2} = 33  18^{2}  17^{2} = 35  19^{2}  18^{2} = 37 
20^{2}  19^{2} = 39  21^{2}  20^{2} = 41  22^{2}  21^{2} = 43 
23^{2}  22^{2} = 45  24^{2}  23^{2} = 47  25^{2}  24^{2} = 49 
26^{2}  25^{2} = 51  27^{2}  26^{2} = 53  28^{2}  27^{2} = 55 
29^{2}  28^{2} = 57  30^{2}  29^{2} = 59  31^{2}  30^{2} = 61 
32^{2}  31^{2} = 63  33^{2}  32^{2} = 65  34^{2}  33^{2} = 67 
35^{2}  34^{2} = 69  36^{2}  35^{2} = 71  37^{2}  36^{2} = 73 
38^{2}  37^{2} = 75  39^{2}  38^{2} = 77  40^{2}  39^{2} = 79 
41^{2}  40^{2} = 81  42^{2}  41^{2} = 83  43^{2}  42^{2} = 85 
44^{2}  43^{2} = 87  45^{2}  44^{2} = 89  46^{2}  45^{2} = 91 
47^{2}  46^{2} = 93  48^{2}  47^{2} = 95  49^{2}  48^{2} = 97 
50^{2}  49^{2} = 99  51^{2}  50^{2} = 101  52^{2}  51^{2} = 103 
Your access to the majority of the Transum resources continues to be free but you can help support the continued growth of the website by doing your Amazon shopping using the links on this page. Below is an Amazon search box and some items chosen and recommended by Transum Mathematics to get you started.
GCSE Revision and PracticeWhatever exam board you use for GCSE Mathematics, this book by David Rayner remains an allround winner. With this latest edition presented in full colour and completely updated for the new GCSE(91) specifications, this uniquely effective text continues to increase your chance of obtaining a good grade. This book is targeted at the Higher tier GCSE, and provides a wealth of practice with careful progression, alongside substantial revision support for the newstyle grading and exam questions. With all the new topics included, and a dedicated section on using and applying mathematics, this unique resource can be used either as a course book over two or three years or as a revision text in the runup to exams. more... 
Teacher, do your students have
access to computers? 

Here a concise URL for a version of this page without the comments.
Transum.org/go/?Start=October10
Here is the URL which will take them to another activity involving square numbers.