# Properties of 2D Shapes

Scheme of work: GCSE Foundation: Year 9: Term 1: Properties of 2D Shapes

#### Prerequisite Knowledge

• Distinguish between regular and irregular polygons based on reasoning about equal sides and angles.
• know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles
• draw 2-D shapes using given dimensions and angles

#### Success Criteria

• 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; use the standard conventions for labelling and referring to the sides and angles of triangles; draw diagrams from the written description
• derive and apply the properties and definitions of: special types of quadrilaterals, including square, rectangle, parallelogram, trapezium, kite and rhombus; and triangles and other plane figures using appropriate language
• identify and apply circle definitions and properties, including: centre, radius, chord, diameter, circumference, tangent, arc, sector and segment

#### Key Concepts

• Understanding and using the vocabulary is key throughout this topic.
• Regular polygons are closed shapes with straight lines of equal length.
• Students need to recognise different types of quadrilaterals and triangles by their geometrical properties.
• All shapes have a rotational symmetry of at least one.
• Reflected vertices are an equal distance from the line of symmetry.

#### Common Misconceptions

• Students often confuse the part of a circle.
• Diagonal lines do not have to be slanted and can be horizontal or vertical.
• A circle is not a polygon since its edge of not straight.
• Rectangles are incorrectly assumed to have a rotational symmetry of order 4.

## Properties of 2D Shapes Resources

### Mr Mathematics Blog

#### Planes of Symmetry in 3D Shapes

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

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

#### GCSE Trigonometry Skills & SOH CAH TOA Techniques

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

#### Regions in the Complex Plane

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