Question P5–P6 Growing patterns and tables
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A grid is built from rods and straws: the rods run one way and the straws run across them, so a grid m sections long and n sections wide needs a full line of straws down each of the m+1 divisions and a full line of rods across each of the n+1 divisions.
Answer
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Find the rule, so Figure 250 is no harder than Figure 4.
In this one. A row of k sections is bounded by k + 1 lines, not k — so each direction needs one line more than it has gaps: n + 1 lines of rods (m rods each) and m + 1 lines of straws (n straws each), never m × n twice.
A row of figures or a table of numbers is shown for the first few terms only, and the question asks for a term far further along, such as 'Figure 6' or 'Figure 250'.
Children extend the sequence one term at a time by drawing or counting. Finding the fixed step or relationship lets them jump straight to the term asked for.
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