English National Curriculum, Programme Of Study For Year 5 Mathematics

Subject Content:

Pupils should be taught to identify, describe and represent the position of a shape following a reflection or translation, using the appropriate language, and know that the shape has not changed.

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

Transformations Video A demonstration of the four basic transformations: reflection, translation, rotation and enlargement.

Tridots Find all the triangles that can be drawn by joining dots on a 3 by 3 grid of dots.

Transformations Draw transformations online and have them instantly checked. Includes reflections, translations, rotations and enlargements.

Tessellations Drag the shapes onto the canvas to create tessellating patterns then try the tessellations quiz.

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

Transformations A transformation in mathematics is an operation performed on a shape (or points) which changes the view of that shape (or points). This topic includes four transformations namely reflection, translation, rotations and enlargement. A reflection can best be described as the mirror image of a shape in a given line (which acts as the mirror). After reflection the shape remains the same size but the orientation is the mirror image of the original. The transformation known as a translation can be thought of as a movement or shift in position. The size and orientation of the shape remains the same but the position on the plane changes. A rotation can be described as turning. This transformation is defined by the angle of turning and the centre of rotation (the point which does not move during the turning). Finally enlargement is the term we use when a shape increases in size but maintains the same shape. The shape after enlargement is defines as being similar to the shape before enlargement. His use of the word similar has a precise mathematical meaning. All of the angles in the enlarged shape are the same as the angles in the original shape and the lengths of the sides are in the same proportion. An enlargement is defines by the scale factor of the enlargement and the centre of enlargement. We use the term enlargement even if the shape becomes smaller (a scale factor between minus one and one). A negative scale factor will produce an enlarged mirror image of the original shape.

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English National Curriculum, Programme Of Study For Year 5 Mathematics

Geometry – position and direction