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These are the Transum resources related to the statement: "Pupils should be taught to apply addition and subtraction of vectors, multiplication of vectors by a scalar, and diagrammatic and column representations of vectors; {use vectors to construct geometric arguments and proofs}"

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

- Parallel Vectors Collect together in groups the vectors that are parallel to each other.
- 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 - "
*ABCDOE is a regular hexagon with O as origin. The position vector of A is \(a\) and the position vector of B is \(b\).*" ... more - "
*Consider a triangle ABC where M is the midpoint of AB and F is the point on BC where BF:FC = 3:4.*" ... more - "
*In the parallelogram OABC two of the sides can be represented by vectors \(a\) and \(c\).*" ... more - "
*(a) If A is the point (3,5) write down the position vector of A.*" ... more - "
*In the diagram above (not drawn to scale) \(X\) is the point on \(AB\) such that \(AX:XB = 9:4\).*" ... more - "
*Two points \(A\) and \(B\) have coordinates (1 , 3 , 6) and (8 , 7 , 10) respectively.*" ... more

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

- Geometry Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Geometry arose independently in a number of early cultures as a body of practical knowledge concerning lengths, areas, and volumes, with elements of a formal mathematical science emerging in the West as early 6th Century BC. See also the topics of Angles, Area, Bearings, Circles, Enlargements, Mensuration, Pythagoras, Shape, Shape (3D), Symmetry, Transformations and Trigonometry.
- 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.