Or search by topic

There are **25** NRICH Mathematical resources connected to **Translations**, you may find related items under Transformations and constructions.

Problem
Primary curriculum
Secondary curriculum
### So It's Times!

How will you decide which way of flipping over and/or turning the grid will give you the highest total?

Age 7 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Poly Plug Pattern

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

Age 5 to 7

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Surprising Transformations

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?

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Translating Lines

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

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Who is the fairest of them all ?

Explore the effect of combining enlargements.

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Mirror, Mirror...

Explore the effect of reflecting in two parallel mirror lines.

Age 11 to 14

Challenge Level

Game
Primary curriculum
Secondary curriculum
### Transformation Game

Why not challenge a friend to play this transformation game?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Is There a Theorem?

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?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### It's Times Again

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!

Age 7 to 14

Challenge Level

General
Primary curriculum
Secondary curriculum
### Topkapi Palace

These images are taken from the Topkapi Palace in Istanbul, Turkey. Can you work out the basic unit that makes up each pattern? Can you continue the pattern? Can you see any similarities and differences in the designs?

Age 7 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Knights Moving

Can you swap the black knights with the white knights in the minimum number of moves?

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Arrow Arithmetic 1

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.

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Shape Mapping

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

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Combining Transformations

Does changing the order of transformations always/sometimes/never produce the same transformation?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Decoding Transformations

See the effects of some combined transformations on a shape. Can you describe what the individual transformations do?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Symmetric Trace

Points off a rolling wheel make traces. What makes those traces have symmetry?

Age 14 to 16

Challenge Level

Article
Primary curriculum
Secondary curriculum
### 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.

Age 7 to 14

Article
Primary curriculum
Secondary curriculum
### Friezes

Some local pupils lost a geometric opportunity recently as they surveyed the cars in the car park. Did you know that car tyres, and the wheels that they on, are a rich source of geometry?

Age 11 to 14

Article
Primary curriculum
Secondary curriculum
### 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?

Age 11 to 16

Article
Primary curriculum
Secondary curriculum
### 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.

Age 11 to 16

Article
Primary curriculum
Secondary curriculum
### A Knight's Journey

This article looks at knight's moves on a chess board and introduces you to the idea of vectors and vector addition.

Age 14 to 18

Game
Primary curriculum
Secondary curriculum
### 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.

Age 7 to 11

Challenge Level

Game
Primary curriculum
Secondary curriculum
### Khun Phaen Escapes to Freedom

Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Transformation Tease

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?

Age 7 to 11

Challenge Level