Translations

There are 28 NRICH Mathematical resources connected to Translations
Poly Plug Pattern
problem
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Poly plug pattern

Age
5 to 7
Challenge level
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Create a pattern on the small grid. How could you extend your pattern on the larger grid?

Translating Lines
problem
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Translating lines

Age
11 to 14
Challenge level
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Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.
Is there a theorem?
problem
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Is there a theorem?

Age
11 to 14
Challenge level
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Draw a square. A second square of the same size slides around the first always maintaining contact and keeping the same orientation. How far does the dot travel?
Surprising Transformations
problem
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Surprising transformations

Age
14 to 16
Challenge level
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I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

Transformation Game
game
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Transformation game

Why not challenge a friend to play this transformation game?
Mirror, mirror...
problem
Favourite

Mirror, mirror...

Age
11 to 14
Challenge level
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Explore the effect of reflecting in two parallel mirror lines.
It's Times Again
problem

It's times again

Age
7 to 14
Challenge level
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Which way of flipping over and/or turning this grid will give you the highest total? You'll need to imagine where the numbers will go in this tricky task!
Shape Mapping
problem

Shape mapping

Age
7 to 11
Challenge level
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What is the relationship between these first two shapes? Which shape relates to the third one in the same way? Can you explain why?
Arrow Arithmetic 1
problem

Arrow arithmetic 1

Age
14 to 16
Challenge level
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The first part of an investigation into how to represent numbers using geometric transformations that ultimately leads us to discover numbers not on the number line.