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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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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

A Maze of Directions

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Try to move the yellow spot from one star to another by just hovering your mouse over it.

Now try again but this time keep the mouse button pressed down as you move it.
How is the trail from the yellow spot related to the trail left by the blue spot?

Why do this problem?

This problem provides an unusual and challenging context in which children can explore transformations. It will help them use appropriate language to describe transformations, and it will also develop their dexterity with using a computer mouse.

Possible approach

Ideally, it would be good to have access to a suite of computers if working on this with a group. You might like to introduce the problem by asking a child to come to the front of the class. Ask the child to stand facing you and invite them to move their hands slowly in some way. As they do this, copy what they do but imagine there is a mirror between the two of you so that you are effectively making a mirror-image of their movements. Ask the rest of the group to explain what you are doing.

Then show the class the problem, perhaps on an interactive whiteboard, and help them understand what they are trying to do. If possible, try to keep your instructions to a mimimum at this stage so that the children are encouraged to explore the interactivity for themselves. Then suggest that they have a go at the problem, maybe in pairs, at a computer. As they work, you might want to use the hints as questions to push their thinking on.

Key questions

Possible extension

Possible support