Rotating rectangles

Rotating rectangles

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about the cente of rotation and rotating a shape about a point.

Rectangle ABCD has been rotated clockwise to form the rectangle DEFG.
 

a) Which point is the centre of rotation? __________
 
b)		  
Through how many degrees has the rectangle been rotated? __________
 
c)
 
Rotate rectangle DEFG 180° clockwise about point P.
Draw the rectangle and label it D'E'F'G' respectively.
Task administration: 
This task can be completed with pencil and paper.
Level:
5
Curriculum info: 
Maths, Geometry and Measurement, Transformation
Keywords: 
centre of rotation, transformations, rotation, points
Description of task: 
Students identify the centre of rotation and the number of degrees through which a rectangle has been rotated. They then rotate it in a different direction.
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: 
 

Y10 (10/1998)
a) D or   easy
b) 90° easy
c) Rectangle correctly drawn and labelled.
 difficult
Diagnostic and formative information: 
  Common error Likely reason
a) P  
b) 270° Rotates anticlockwise.
c) Wrongly labelled points.