Resource(s) that can be most effectively used for demonstrating the derivation of formula of area of a trapezium is/are:
A graph sheet and a pair of scissors
Deriving the area formula of a trapezium is best done by letting children physically cut and rearrange shapes so the trapezium's area can be related to a shape whose area they already know, such as a parallelogram formed by joining two congruent trapezia.
A graph sheet lets children draw the trapezium accurately on a grid and measure its lengths, while a pair of scissors lets them cut and physically transform the shape — together these support a hands-on, activity-based derivation rather than a memorised formula.
A geoboard is useful for exploring shapes and their properties using stretched bands but does not allow the cutting and rearranging needed to derive an area formula.
Chart paper with a ruler and coloured pens, and chalk and blackboard, are suited to displaying a ready diagram or a teacher's explanation, but they do not let children manipulate the shape themselves to discover the formula.
Hence, a graph sheet and a pair of scissors are the most effective resources for demonstrating the derivation of the trapezium's area formula.
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