Translations

problem
Favourite

Is There a Theorem?

Age

11 to 14

Challenge level

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?
problem
Favourite

Poly Plug Pattern

Age

5 to 7

Challenge level

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

Mirror, Mirror...

Age

11 to 14

Challenge level

Explore the effect of reflecting in two parallel mirror lines.
problem
Favourite

Translating Lines

Age

11 to 14

Challenge level

Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.
game
Favourite

Transformation Game

Age

11 to 14

Challenge level

Why not challenge a friend to play this transformation game?
$Who \is the \fairest of \them \all ?$

problem
Favourite

Who Is the Fairest of Them All?

Age

11 to 14

Challenge level

Explore the effect of combining enlargements.
problem
Favourite

Surprising Transformations

Age

14 to 16

Challenge level

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?
problem

Patchwork Quilt

Age

7 to 14

Challenge level

Squares of the type shown are sewn together to make a quilt. How many different quilts can be made?
problem

Central Distance

Age

11 to 14

Challenge level

Weekly Problem 1 - 2006
The diagram shows two circles enclosed in a rectangle. What is the distance between the centres of the circles?
problem

Arrow Arithmetic 1

Age

14 to 16

Challenge level

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.