# Properties of Shapes

Scheme of work: Key Stage 3: Year 7: Term 1: Properties of Shapes

#### Prerequisite Knowledge

• Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes.
• Identify acute and obtuse angles and compare and order angles up to two right angles by size
• Identify lines of symmetry in 2-D shapes presented in different orientations
• Complete a simple symmetric figure with respect to a specific line of symmetry.

#### Key Concepts

• Students should learn how to use the correct terminology to describe the properties of shapes.
• Understanding how each quadrilateral has unique properties helps students in future topics on angles and geometrical reasoning topics.
• A prism has a cross section with edges running parallel to each other.  Converging shapes have similar cross-sections.
• Students could investigate why some shapes tessellate and others do not.

#### Working Mathematically

• Develop fluency
• Use language and properties precisely to analyse numbers, algebraic expressions, 2-D and 3-D shapes, probability and statistics.
• Reason mathematically
• Begin to reason deductively in geometry, including using geometrical constructions.
• Solve problems
• Begin to model situations mathematically and express the results using a range of formal mathematical representations.

#### Subject Content

• Derive and illustrate properties of triangles, quadrilaterals, circles, and other plane figures [for example, equal lengths and angles] using appropriate language and technologies.
• Use the properties of faces, surfaces, edges and vertices of cubes, cuboids, prisms, cylinders, pyramids, cones and spheres to solve problems in 3-D.

## One thought on “Properties of Shapes”

1. ##### Teoni F Paapesays:

Very useful and straight forward. Would love to make use of these in my classroom and to help prepare teacher training programs in Numeracy.

### 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.