Home → Curriculum Hub → Maths Lessons → Schemes of Work → Three-Year GCSE Foundation → 2D Shapes
This Foundation GCSE scheme of work unit covers 2D shapes in Year 9. It is the language of plane shape. Students name triangles and quadrilaterals by their properties, learn the parts of a circle, then use reflection, rotation, translation and enlargement to move a shape on a grid.
Students need a precise name for a shape before they can argue about its angles or its area. The transformation work here prepares later lessons on vectors, similarity and describing a combined transformation.
A student who has secured this unit:
Students should be secure with the following before beginning this unit.
A regular polygon is a closed shape with equal sides and equal angles. A circle is not a polygon, because its edge is not straight.
A rectangle, rhombus, square, parallelogram, kite and trapezium are identified by sides, angles and diagonals, not by how the shape is sitting on the page.
Every shape has rotational symmetry of at least order 1. A rectangle that is not a square has order 2, not order 4.
A reflected vertex is the same distance from the mirror line as the original vertex, measured perpendicular to the line.
Radius, diameter, chord, tangent, arc and circumference are not interchangeable. The diameter is twice the radius.
| Misconception | Teaching focus |
|---|---|
| Mixing radius, diameter, chord and tangent on a circle diagram. | Build the circle from the radius first, then add the diameter as two radii. |
| Assuming a diagonal must be a slanted line. | Draw a square sitting on a vertex so that its diagonal is horizontal. |
| Calling a circle a polygon because it is a closed 2D shape. | Repeat the straight-edge definition, then ask students to test a circle against it. |
| Giving a non-square rectangle rotational symmetry of order 4. | Rotate the cut-out rectangle through 90° and show that it does not fit its outline. |
| Measuring the distance to a mirror line along the grid rather than perpendicular to the line. | Draw the perpendicular from one vertex to the line before any other point is moved. |
Every lesson in this unit is already built. A Mr Mathematics membership gives you the presentation, worksheet, question generator and video tutorial for all 8 lessons, alongside the full Key Stage 3, GCSE, IGCSE and A-Level libraries.
A school membership covers every teacher in your department, so the whole scheme of work is resourced from one subscription.
Students learn how to recognise and describe the unique properties of 2D shapes.
Later, as learning progresses, they sort 2D shapes based on their features.
Students learn how to identify and describe the different parts of a circle.
Later, as learning progresses, they learn how to construct circular shapes to scale.
Students learn how to perform and describe reflections of 2D shapes using a mirror line.
As learning progresses, they are challenged to draw diagonal reflections of more complex shapes.
Students learn how to use tracing paper to identify the order of rotational symmetry for 2D shapes.
As learning progresses, they are challenged to create shapes with a given order of rotational symmetry.
Students learn to recognise and describe quadrilateral shapes by their distinct geometrical properties.
As learning progresses, they apply the specific vocabulary to distinguish between various quadrilaterals.
Students learn to translate shapes using left, right, up and down.
As learning progresses, they describe translations using the correct vocabulary.
Students learn how to rotate shapes using a centre and direction of the turn.
As learning progresses, the position of the centre is no longer attached to the object.
Students learn how to enlarge a shape on a grid when given a scale factor.
Later, as learning progresses, they enlarge shapes to a centre.
Additional practice describing the unique properties of quadrilaterals.
The problem-solving activity challenges students to derive proof using the angle properties of a kite.
Students practice reflecting shapes in both horizontal and vertical mirror lines. Later, they advance to reflecting shapes in diagonal mirror lines.
In the problem solving activity students reflect objects on an isometric grid.
Students start with fluency tasks, such as rotating shapes 90° clockwise and anticlockwise. They progress to mastery challenges, including 180° rotations, and engage in problem-solving by performing sequential rotations and describing transformations.
Students revise how to describe the unique properties of each quadrilateral.
As learning progresses, they use the properties of quadrilaterals to solve complex geometry problems.
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