Translations

problem
Favourite

Is There a Theorem?

Age

11 to 14

Challenge level

2 out of 3

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

1 out of 3

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

1 out of 3

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

Translating Lines

Age

11 to 14

Challenge level

1 out of 3

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

2 out of 3

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

3 out of 3

Explore the effect of combining enlargements.
problem
Favourite

Surprising Transformations

Age

14 to 16

Challenge level

2 out of 3

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

1 out of 3

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

Arrow Arithmetic 1

Age

14 to 16

Challenge level

1 out of 3

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.
problem

Footprints

Age

16 to 18

Challenge level

2 out of 3

Make a footprint pattern using only reflections.