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Translate Points on a Grid Involving Two Movements

In this worksheet, students will describe movements between positions as translations of a given unit to the left/right and up/down.

'Translate Points on a Grid Involving Two Movements' worksheet

Key stage:  KS 2

Year:  Year 4 Maths worksheets

Curriculum topic:   Geometry: Position and Direction

Curriculum subtopic:   Describe Movements of Position

Popular topics:   Geometry worksheets

Difficulty level:  

Worksheet Overview

Points can be shifted on a grid by moving them left or right and/or up or down.

This is called translating a point.

In maths, translate means shift or move.


Look at this diagram, showing points A, B, C and D on a set of x and y-coordinate axes.




A can be translated to B by shifting it 5 squares up.

C can be translated to D by shifting it 6 squares to the left.


We sometimes do two movements when we do a translation:

A can be translated to C by shifting it 5 squares to the right and 7 up.


When describing two movements, we could put them in any order, but it is best to get into the habit of doing the horizontal movements first since this would be the x-coordinate on a grid, which always come before y.


So, it is better to say 'move 5 squares to the right and 7 up'  than '7 squares up and 5 squares right', even though either instruction would take you to the same position!


Are you ready to have a go?


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