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.
For the following questions write what fraction of a full turn each shape can be rotated until it fits onto itself for the first time.

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
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 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