5 Vectors and transformation geometry

Understand that a vector has both magnitude and direction.

understand and use vector notation, including column vectors and notation for the vector from O to A and the vector a

multiply vectors by scalar quantities

add and subtract vectors

calculate the modulus (magnitude) of a vector

find the resultant of two or more vectors

apply vector methods for simple geometrical proofs

Understand that a rotation is specified by a centre and an angle.

rotate a shape about a point through a given angle

recognise that an anti-clockwise rotation is a positive angle of rotation and a clockwise rotation is a negative angle of rotation

understand that reflections are specified by a mirror line Such as x = 1, y = 2, y = x, y – x = 0

Construct a mirror line from an object and its image, and reflect a shape in a given mirror line.

understand that translations are specified by a distance and direction

translate a shape

understand and use column vectors in translations

Understand that rotations, reflections and translations preserve lengths and angles, so the image remains congruent to the original.

Understand that an enlargement is specified by a centre and a positive scale factor, including fractional scale factors.

Understand that enlargements preserve angles but do not generally preserve lengths.

enlarge a shape given the scale factor With or without a centre given

Identify transformations and give complete descriptions of them.