don steward
mathematics teaching 10 ~ 16

Monday, 20 November 2017

equable shapes

'equable shapes' can be an interesting study, in these resources to practice finding areas and perimeters of well known and compound shapes, leading (possibly) to solving equations

the powerpoint is here

for rectangles, it can be beneficial to appreciate the function/relationship by looking at a full range of values (not just integer values, as is usually a restriction for equable shapes)
the values for 'a' are selected so that the corresponding values for 'b' can be calculated, maybe without a calculator
and a graph of (a, b) values plotted - or at least considered

students can check that the area and perimeter values are the same

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