Rotations

There are 65 NRICH Mathematical resources connected to Rotations

problem

Coke machine

Age

14 to 16

Challenge level

The coke machine in college takes 50 pence pieces. It also takes a certain foreign coin of traditional design...

problem

Rearrange the square

Age

5 to 7

Challenge level

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?

game

Penta play

A shape and space game for 2, 3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board.

problem

Get cross

Age

14 to 16

Challenge level

A white cross is placed symmetrically in a red disc with the central square of side length sqrt 2 and the arms of the cross of length 1 unit. What is the area of the disc still showing?

problem

Flipping twisty matrices

Age

14 to 18

Challenge level

Investigate the transformations of the plane given by the 2 by 2 matrices with entries taking all combinations of values 0, -1 and +1.

problem

Shape mapping

Age

7 to 11

Challenge level

What is the relationship between these first two shapes? Which shape relates to the third one in the same way? Can you explain why?

article

Frieze patterns in cast iron

A gallery of beautiful photos of cast ironwork friezes in Australia with a mathematical discussion of the classification of frieze patterns.

article

The frieze tree

Patterns that repeat in a line are strangely interesting. How many types are there and how do you tell one type from another?

article

Shaping up with tessellations

This article describes the scope for practical exploration of tessellations both in and out of the classroom. It seems a golden opportunity to link art with maths, allowing the creative side of your children to take over.

article

Coordinating classroom coordinates

This article describes a practical approach to enhance the teaching and learning of coordinates.