How much of a full turn?

How much of a full turn?

Pencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about angles of rotation.
Through what fraction of a full turn (360°) about the centre of rotation (black dot) would each figure have to be rotated so it looks exactly the same (for example, a quarter turn)?

Question 1Change answer

a) 
rotation-shape-1.gif
Rotation =

Question 1Change answer

b)
rotation-shape-2.gif
Rotation =

Question 1Change answer

c)
rotation-shape-3.gif
Rotation =

Question 1Change answer

d)
rotation-shape-4.gif
Rotation =

Question 1Change answer

e)
rotation-shape-5.gif
Rotation =
Task administration: 
This task can be completed with pen and paper or online (with NO auto marking).
Level:
4
Curriculum info: 
Maths, Geometry and Measurement, Transformation
Keywords: 
symmetry, angle of rotation, rotational symmetry, rotation, transformations
Description of task: 
Students specify the smallest angle of rotation so a shape remains the same.
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: 
   

Y8 (10/1996)
a) One third (accept two thirds/240°/120°). moderate
b) Full turn (accept 360°). moderate
c) Half turn (accept 180°). moderate
d) Half turn (accept 180°). difficult
e) Full turn (accept 360°). very difficult