Transforming traffic lights

Transforming traffic lights

Pencil and paperOnline interactive
Overview
Using this Resource
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Marking Student Responses
Further Resources
This task is about properties of shapes that change or don't change under transformation.
The picture of traffic lights was given to 4 students.
traffic lights

Question 1Change answer

a)  Pete translated the picture. b)  Hoani reflected the picture.
traffic lights  arrow traffic lights translated
traffic lights arrowtraffic lights reflected
 
c)  Jemma rotated the picture 180°.
 
d)  Maria enlarged the picture.
traffic lightsarrowtraffic lights rotated
traffic lights  arrow traffic lights enlarged
 
Complete the table below to show which properties are invariant (do not change) and which properties change under each of the transformations. [Select invariant or changes]
Invariant Properties
Transformation
Length
Area
Angle Size
a)   Translation
invariantchanges
invariantchanges
invariantchanges
b)   Reflection
invariantchanges
invariantchanges
invariantchanges
c)   Rotation
invariantchanges
invariantchanges
invariantchanges
d)   Enlargement
invariantchanges
invariantchanges
invariantchanges
Task administration: 
This task can be completed with pencil and paper or online.
Copyright: 
Graphics: copyright NZCER.
Level:
4
Curriculum info: 
Maths, Geometry and Measurement, Transformation
Keywords: 
invariant properties, rotation, reflection, translation, enlargement, transformations
Description of task: 
This task requires students to indicate, in a table, the invariant properties of four transformations (translation, reflection, rotation, enlargement) of a picture of a traffic light.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Geometric thinking, sets 4-5
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y11 (09/2001)
Transformation Length Area Angle Size
a)   Translation invariant invariant invariant
b)   Reflection invariant invariant invariant
c)   Rotation invariant invariant invariant
d)   Enlargement changes changes invariant

lengths - very easy
areas - very easy
angle sizes - easy