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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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Penta Play

A shape and space game for 2,3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board. Play with card, or on the computer.

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Overlaid

Overlaying pentominoes can produce some effective patterns. Why not use LOGO to try out some of the ideas suggested here?

A Maze of Directions

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

This was a very challenging question but you took it in your stride! William from Stradbroke Primary said:


If you move the mouse up the blue circle will go down and if you move the mouse down the blue circle goes up but it is not completely opposite because when you move the mouse left it will go that way and if you move the mouse right the blue circle will go right.

Well noticed, William. Rishi explains:


The path of the yellow ball is the horizontally flipped version of the blue ball.

Harry from Culford Prep sent in an image of the two paths so we can see that Rishi's answer is correct, but the path of the yellow ball is just moved over to the left too:



two paths
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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