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These are the Transum resources related to the statement: "Pupils should be taught to describe translations as 2D vectors"

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

- Transformations Draw transformations online and have them instantly checked. Includes reflections, translations, rotations and enlargements.
- Vector Cops Help the cops catch the robbers by finding the vectors that will end the chase.
- Vector Maze Use vectors to navigate through a maze by the shortest distance.
- Vectors An online exercise on addition and subtraction of vectors, multiplication of vectors by a scalar, and diagrammatic representations of vectors.

Here are some exam-style questions on this statement:

- "
*OABC is a parallelogram with O as origin. The position vector of A is \(a\) and the position vector of C is \(c\).*" ... more - "
*(a) Shape \(A\) is translated to shape \(B\) using the vector \( \begin{pmatrix}m\\n\\ \end{pmatrix}\). What are the values of \(m\) and \(n\)?*" ... more - "
*ABCD is a quadrilateral. The points E, F, G and H are the midpoints of the sides of this quadrilateral.*" ... more - "
*In the parallelogram OABC two of the sides can be represented by vectors \(a\) and \(c\).*" ... more

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.
- Vectors A vector can be represented as an arrow where the length of the arrow represents the size of the vector and the direction of the arrow represents the direction of the vector. Older pupils will use vectors in a formal way to describe transformations and form geometrical proofs. Younger pupils however are encouraged to take on the concept of a vector in games, puzzles and challenges.You can think of a vector as what is needed to ‘carry’ the point A to the point B. The Latin word vector means ‘carrier’ and was first used by 18th century astronomers investigating planet rotation around the Sun.