Reducing the logo

Reducing the logo

Pencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about using the centre of enlargement to enlarge a shape.
 
Logo.png
 
LM FM is the logo for Loud Music FM. Their logo needs to be reduced to fit into a magazine advertisement.

Question Change answer

a)  On the grid below, enlarge the letter L by a scale factor of 1⁄3 using the marked centre of enlargement.

Question

b)  If the whole of the original logo "LM FM" had an area of 108 cm2
     what would be the area of the smaller logo, given the scale factor is 1⁄3?

    • 4 cm2

    • 12 cm2

    • 18 cm2

    • 36 cm2

    • 54 cm2

Task administration: 
This task can be completed with pencil and paper or online.
Level:
5
Curriculum info: 
Maths, Geometry and Measurement, Transformation
Keywords: 
enlargement, resizing, centre of enlargement, drawing, scale factor, area
Description of task: 
This task requires students to draw, on a grid, an enlargement of a radio station logo. The scale factor and the centre of enlargement are given. Students answer a question about the area of the original compared to the enlarged logo.
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: 

 

Y11 (09/2001)

a)

Correctly draws the logo the right size.

The bottom left-hand corner of the logo is 3 squares right and 2 squares up from the centre of enlargement.

grid enlargement answer or grid enlargement answer - online

easy

moderate

b)

B (12cm2)

very difficult
Diagnostic and formative information: 
  

Common error

Likely miscalculation

Likely reason

b)

D (36cm2)

108 × 1/3

Does not square scale factor to find area. (57%)