# Transformations & Vectors

Scheme of work: GCSE Foundation: Year 10: Term 6: Transformations & Vectors

#### Prerequisite Knowledge

• Use conventional terms and notations: points, lines, vertices, edges, planes, parallel lines, perpendicular lines, right angles, polygons, regular polygons and polygons with reflection and/or rotation symmetries;
• identify an order of rotational and reflective symmetry for two-dimensional shapes
• use the standard conventions for labelling and referring to the sides and angles of triangles; draw diagrams from the written description
• Recognise linear functions in the form y = ± a and x = ± a

#### Success Criteria

• Identify, describe and construct congruent and similar shapes, including on coordinate axes, by considering rotation, reflection, translation and enlargement (including fractional scale factors)
• apply addition and subtraction of vectors, multiplication of vectors by a scalar, and diagrammatic and column representations of vectors

#### Key Concepts

• An object is transformed to create an image.
• Rotation, Translation and Reflections involve congruent objects and images whereas enlargement leads to the object is similar to the image.
• Translation vectors are used to describe movements along Cartesian axes.
• When reflecting objects the image is always the same distance from the line of reflection as the object.
• Rotations and enlargements are constructed from a centre.
• A scalar has direction only whereas a vector has direction and magnitude.
• A vector has a magnitude and direction but its starting point is variable.
• Parallel lines have vectors that are multiples of each other.
• To add and subtract vectors is similar to collecting like terms.

#### Common Misconceptions

• Translation vectors can incorrectly be written using the name notation as coordinate pairs.
• Translations, Rotations, Enlargement and Reflections all come under the umbrella term of transformation. Students often confuse the term translation for transformation.
• Students often have more difficulty describing single transformations rather than performing them.
• Writing vectors in their simplest form by collecting like terms is often a problem in examinations.

## Transformations & Vectors Resources

### Mr Mathematics Blog

#### Sequences and Series

Edexcel A-Level Mathematics Year 2: Pure 2: Algebraic Methods

#### T- Formulae

Scheme of work: A-Level Further Mathematics: Further Pure 1: The t – formulae

#### Regression, Correlation and Hypothesis Testing

A-Level Scheme of work: Edexcel A-Level Mathematics Year 2: Statistics: Regression, Correlation and Hypothesis Testing