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What Are You Plotting?

Investigate the positions of points which have particular x and y coordinates. What do you notice?

Dotty Relationship

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2
This problem could be linked to coordinates and could form an introduction to vectors at a higher level. It is a powerful geometrical investigation and will quickly lead to generalisations that pupils can apply in the second part of the question. The notion of "how long is a line?" would form an excellent discussion point in the plenary.
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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