median
don steward
mathematics teaching 10 ~ 16

Friday, 22 July 2011

quadratic growing rules



 what is the nth term of this growing sequence?








these growing sequences of shapes have a quadratic form that can be established from the diagrams directly and also from factor pairs (or by other means...)
























part of the interest in generalising these growing sequences is in relating apparently different rules, from various viewings of the growth pattern

for example, number 4 above can be viewed in several ways:





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