This task is about continuing a spatial pattern and finding the rule.
Suli is playing with counters, making letter Ls of various sizes, like this:
a) |
Complete this table, giving the total number of counters in letter Ls of different sizes:
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b)
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How many counters in total would be needed to make a letter L that is ...
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i) ii) iii)
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10 counters high? __________ counters
16 counters high? __________ counters 37 counters high? __________ counters |
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c) |
Explain or write a rule that describes how to work out the total number of counters needed from the height of an L-shape.
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d) |
If the total number of counters was 40, how many counters high would the letter L be? ____________ counters |