Extending great squares
Explore one of these five pictures.
Age
7 to 11
Challenge level
Problem
The activity is intended to extend Great Squares for those who need/want something much more challenging.
Choose one or more of the following five sets of pictures and explore them further for number patterns, area implications, trigonometrical facts and predictions.
$1$
Image
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$2$
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$3$
Image
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$4$
Image
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$5$
Image
Teachers' Resources
Why do this problem?
It acts as a further extension to Great Squares. It's an activity that is intended to give opportunities for those pupils to explore deeply using their intuition, flair and risk-taking skills.
Possible approach
As this is designed for the highest attaining, it might be presented as on the website or in a one-to-one situation, encouraging discussion between adult and pupil. It may well be that choosing just one of the five pictures and staying with that for a considerable investigational time is the best way to use the activity.
Key questions
Tell me about this/your thinking.