QuestionQuestionConceptConceptDocumentDocument

5 Vectors and transformation geometry

Start with Concept to understand a topic, then use Question Bank to check what you know.

2 topics · 20 learning objectives

Your progress

Sign in to see your mastery and mistakes.

  1. 5.1 Vectors

    1. 5.1.HAVector magnitude and direction

      Understand that a vector has both magnitude and direction.

    2. 5.1.HBVector notation and column vectors

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

    3. 5.1.HCMultiply vectors by scalar quantities

      multiply vectors by scalar quantities

    4. 5.1.HDAdd and subtract vectors

      add and subtract vectors

    5. 5.1.HEMagnitude of a vector

      calculate the modulus (magnitude) of a vector

    6. 5.1.HFResultant vectors

      find the resultant of two or more vectors

    7. 5.1.HGVector methods for simple geometrical proofs

      apply vector methods for simple geometrical proofs

  2. 5.2 Transformation geometry

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

    2. rotate a shape about a point through a given angle

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

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

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

    6. understand that translations are specified by a distance and direction

    7. translate a shape

    8. understand and use column vectors in translations

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

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

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

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

    13. Identify transformations and give complete descriptions of them.