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

- 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

- 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

- 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.

- 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.

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Planes of Symmetry in 3D Shapes for Key Stage 3/GCSE students.

Use isometric paper for hands-on learning and enhanced understanding.

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Master GCSE Math: Get key SOH-CAH-TOA tips, solve triangles accurately, and tackle area tasks. Ideal for students targeting grades 4-5.

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Explore Regions in the Complex Plane with A-Level Further Maths: inequalities, Argand diagrams, and geometric interpretations.