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Quadratic Patterns printable worksheet
Charlie has been playing with calculations again...
$2 \times 4 + 1 = 9$
$4 \times 6 + 1 = 25$
$5 \times 7 + 1 = 36$
$9 \times 11 + 1 = 100$
What do you notice?
Click below to see what Charlie said:
Can you explain what's happening?
Click below to see Charlie's explanation:
Alison drew a diagram to explain the results. Click below to see:
Can you make sense of Charlie's method and Alison's diagrams?
Here are some more number patterns to explore. Some have been expressed numerically, some in words, and some algebraically.
Can you represent each pattern in all four ways,
With thanks to Don Steward, whose ideas formed the basis of this problem.
You may be interested in the other problems in our Factorise This! Feature.