Translations

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

Poly plug pattern

Age
5 to 7
Challenge level
filled star empty star empty star

Create a pattern on the small grid. How could you extend your pattern on the larger grid?

Transformation Game
game
Favourite

Transformation game

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

Mirror, mirror...

Age
11 to 14
Challenge level
filled star empty star empty star
Explore the effect of reflecting in two parallel mirror lines.
Translating Lines
problem
Favourite

Translating lines

Age
11 to 14
Challenge level
filled star empty star empty star
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
Favourite

Is there a theorem?

Age
11 to 14
Challenge level
filled star filled star empty star
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
Favourite

Surprising transformations

Age
14 to 16
Challenge level
filled star filled star empty star

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?

It's Times Again
problem

It's times again

Age
7 to 14
Challenge level
filled star filled star filled star
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!
Transformation Tease
problem

Transformation tease

Age
7 to 11
Challenge level
filled star filled star filled star
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?
Patchwork Quilt
problem

Patchwork quilt

Age
7 to 14
Challenge level
filled star empty star empty star
Squares of the type shown are sewn together to make a quilt. How many different quilts can be made?