Reflections

There are 60 NRICH Mathematical resources connected to Reflections
ReflectoR ! RotcelfeR
problem
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Reflector ! rotcelfer

Age
7 to 11
Challenge level
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Can you place the blocks so that you see the reflection in the picture?

National Flags
problem
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National flags

Age
7 to 11
Challenge level
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This problem explores the shapes and symmetries in some national flags.
So it's times!
problem
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So it's times!

Age
7 to 14
Challenge level
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How will you decide which way of flipping over and/or turning the grid will give you the highest total?

Attractive Tablecloths
problem
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Attractive tablecloths

Age
14 to 16
Challenge level
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Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?
Reflecting Lines
problem
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Reflecting lines

Age
11 to 14
Challenge level
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Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.
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?
Clocks
problem
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Clocks

Age
7 to 11
Challenge level
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These clocks have been reflected in a mirror. What times do they say?

Exploded Squares
problem
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Exploded squares

Age
5 to 7
Challenge level
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This practical activity challenges you to create symmetrical designs by cutting a square into strips.
Reflecting Squarely
problem
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Reflecting squarely

Age
11 to 14
Challenge level
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In how many ways can you fit all three pieces together to make shapes with line symmetry?