Rotations

There are 61 NRICH Mathematical resources connected to Rotations
Notes on a triangle
problem

Notes on a triangle

Age
11 to 14
Challenge level
filled star empty star empty star
Can you describe what happens in this film?
Flip
problem

Flip

Age
7 to 11
Challenge level
filled star filled star empty star
Can you picture where this letter "F" will be on the grid if you flip it in these different ways?
Interpenetrating solids
problem

Interpenetrating solids

Age
16 to 18
Challenge level
filled star filled star empty star
This problem provides training in visualisation and representation of 3D shapes. You will need to imagine rotating cubes, squashing cubes and even superimposing cubes!
Arrow Arithmetic 1
problem

Arrow Arithmetic 1

Age
14 to 16
Challenge level
filled star empty star empty star
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.
Shape Mapping
problem

Shape Mapping

Age
7 to 11
Challenge level
filled star filled star empty star
What is the relationship between these first two shapes? Which shape relates to the third one in the same way? Can you explain why?
Rearrange the Square
problem

Rearrange the Square

Age
5 to 7
Challenge level
filled star empty star empty star
We can cut a small triangle off the corner of a square and then fit the two pieces together. Can you work out how these shapes are made from the two pieces?
Peg Rotation
problem

Peg Rotation

Age
7 to 11
Challenge level
filled star filled star filled star
Can you work out what kind of rotation produced this pattern of pegs in our pegboard?
Turning Man
problem

Turning Man

Age
5 to 7
Challenge level
filled star empty star empty star
Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
...on the wall
problem

...on the wall

Age
11 to 14
Challenge level
filled star filled star empty star
Explore the effect of reflecting in two intersecting mirror lines.
Simplifying Transformations
problem

Simplifying Transformations

Age
11 to 14
Challenge level
filled star filled star filled star
How many different transformations can you find made up from combinations of R, S and their inverses? Can you be sure that you have found them all?