Enlarging road signs

Enlarging road signs

Pencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about scale factors and enlargement.

Question 1Change answer

a)
In the photograph of the GIVE WAY sign, the length of one side is 2 cm. The length of that same side on the actual street sign is 60 cm.
 
small-give-way-sign.png

Photograph
measurements
large-give-way-sign.png
Actual street sign measurements

[Not drawn to scale]
 
i)
ii)
What is the scale factor for this enlargement? 
The length of another side of the sign in the photograph is 3 cm.
What would be the length of this same side on the actual street sign? x =  cm.

Question 1Change answer

b)
In the photograph of the STOP sign, the length of one side of the sign is 2 cm. The length of that same side on the actual street sign is 20 cm.
 
small-stop-sign.png
Photograph
measurements		 large-stop-sign.png
Actual street sign measurements

[Not drawn to scale]
     i)    What is the scale factor for this enlargement? 
     ii)   The area of the actual street sign is 2000 cm2
            What do you need to divide this number by to get the area of the street sign in the photograph?
             cm.
Task administration: 
This task can be completed with pen and paper or online (with NO auto marking).
Level:
5
Curriculum info: 
Maths, Geometry and Measurement, Transformation
Keywords: 
enlargement, resizing, scale factor, length, area
Description of task: 
From two different street sign pictures and their enlargements, students are to identify the scale factor of each enlargement and either a missing length or the missing factor when enlarging the area.
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 (10/2001)

a)

i)
ii)

30
90 [Accept 3 × answer to a) i)]

very easy
very easy

b)

i)
ii)

10
100 [Accept 102 or (answer to b) i)2]

very easy
difficult
Diagnostic and formative information: 
  

Common error

Likely reason

b)ii)

10

Does not square the scale factor.