Using the centre of enlargement

Using the centre of enlargement

Pencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about enlarging shapes on a grid.

Question Change answer

a)  Enlarge the shape below by a scale factor of 2 from the centre of enlargement R.

Question Change answer

b)  Enlarge the shape below by a scale factor of 4 from the centre of enlargement S.

Question Change answer

c)  Enlarge the shape below by a scale factor of 3 from the centre of enlargement T.
Task administration: 
This task can be completed with pencil and paper or by drawing online.
Copyright: 
Graphics: copyright NZCER
Level:
5
Curriculum info: 
Maths, Geometry and Measurement, Transformation
Keywords: 
enlargement, resizing, centre of enlargement, scale factor, drawing
Description of task: 
On grids, students enlarge shapes by different scale factors through given centres of enlargement.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Geometric thinking, set 6
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y10 (10/1998)
a)  or answer for for question a moderate
b)  or answer for question b difficult
c) or answer for question c difficult
NOTES:
Drawing these shapes online could be more difficult due to the lack of opporutnity to touch, move and easily mark paper. As a result tudents may find drawing online more difficult than drawing on paper, especially when precise alignment is needed.  
Students may use guidelines to create or check their enlarged shape. These are shown as thinner red lines above for the possible online responses.
 
Diagnostic and formative information: 
Common error
Wrong point of enlargement or wrong scale factor.