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For younger learners

  • Early Years Foundation Stage

Coordinate Cunning

Age 7 to 11
Challenge Level Yellow starYellow star
  • Game

This is a game for two players.

You will need:
A blue pencil and a red pencil.
A sheet of dotted paper.

The aim:
To get four dots of your colour in a line.

To play:
Together, decide where to place the origin (0,0). It can be on any of the points on the board.

Next, choose who will be blue and who will be red.

Blue goes first and chooses a point. Blue has to write down the coordinates of the point in relation to the origin. If they get the coordinates of the point wrong, they don't get that point.

What are the coordinates of the point that Blue has chosen here?

Then Red chooses a point and gives its coordinates.

Keep playing until one person has four dots in line of their colour!

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Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

Transformation Tease

What are the coordinates of this shape after it has been transformed in the ways described? Compare these with the original coordinates. What do you notice about the numbers?

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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.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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