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Shape, Space and Measures

Transformations and coordinates
Reflect, rotate or translate shapes; use coordinates

Age range 9 - 13 Key Stages 2 and 3

Activities and worksheets that can be used to

  • demonstrate reflections and rotations
  • create patterns with rotational or reflective symmetry
  • practise using reflections, rotations and translations
  • use coordinates (synchronised swimmers

The following are available on this site tour

Rotate tiles (90 degrees)

Play transformation golf: Reflect, rotate and translate the ball round the course

Post the Shapes: Reflect, rotate and translate shapes into holes.

Worksheets
Reflecting shapes: Use coordinates in all four quadrants to reflect the shape

The following activities are available on Maths Online.

Reflect tiles
Rotate tiles (90 degrees)
Rotate tiles (120 degrees)
Reflect small Burbles (x and y axes)
Reflect small Burbles (in a diagonal line)
Reflect large Burbles (x and y axes)
Rotate small Burbles (90 degrees)
Rotate large Burbles (90 degrees)
Reflect shapes (x and y axes)
Rotate shapes (90 degrees)
Reflect numbers (x and y axes)
Rotate numbers (90 degrees)

Play transformation golf
Post the Shapes
Choreograph the synchronised swimmers
Reflect the swimmers by using coordinates

Worksheets
Reflecting shapes
Use coordinates in all four quadrants to reflect the shapes

Reflecting swimmers
Use coordinates in all four quadrants to reflect the shapes

The worksheet creator enables you to produce an almost infinite(!) number of worksheets. Click on "new worksheet" and the shapes will change position. Print the worksheet when you are happy with the shapes generated. An answer sheet and a pupil question sheet (without answers!) will be printed.

Links to the National Numeracy Strategy:

Years 4, 5 and 6
Recognise reflective symmetry in 2-D shapes, reflections and translations.
Recognise postions and directions, and use coordinates.

Years 5
Complete symmetrical patterns with two lines of symmetry at right angles.
Recognise where a shape will be after reflection in a mirror line parallel to one side.


Years 6

Recognise where a shape will be after reflection in a mirror line touching the shape at a point. Recognise where a shape will be after a rotation through 90 degrees about one of its vertices.

Links to the National Curriculum
Shape, space and measures

Key Stage 2
Pupils should be taught to:

  • transform 2-D shapes by translation, reflection and rotation, and visualise movements and simple transformations and describe patterns.
  • transform images using ICT
  • visualise and predict the position of a shape following a rotation, reflection or translation.
  • locate and draw shapes using coordinates in the first quadrant, then in all four quadrants (for example, use coordinates to locate position in a computer game).

Key Stage 3
Pupils should be taught to:

  • understand that rotations are specified by a centre and an angle.
  • understand that reflections are specified by a mirror line.
  • recognise and visualise rotations, reflections and translations, including reflection symmetry of 2-D shapes, and rotation symmetry of 2-D shapes; trnasform 2-D shapes by translation, rotation and reflection.
  • use the conventions for coordinates in the plane; plot points in all four quadrants.

Level 4
Pupils reflect simple shapes in a mirror line.

Level 5
Pupils use and interpret coordinates in all four quadrants.

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