• Mastery PD Materials


Theme 6 comprises four core concepts: geometrical properties; perimeter, area and volume; transforming shapes; constructions.


The links immediately below take you to pages dedicated to each core concept, which include all the classroom and professional development resources you need.

Underneath the links to the core concept pages, you can download an overview of the entire theme, and a single download of all core concept documents within the theme.

6.1 Geometrical properties

Core concept 6.1 covers angle facts and the geometry of intersecting lines, similarity and congruence, and Pythagoras’ theorem.

6.2 Perimeter, area and volume

Core concept 6.2 covers how the formulae for perimeter, area and volume are derived and connected, and the importance of reasoning mathematically to solve a range of problems.

6.3 Transforming shapes

Core concept 6.3 introduces translation, rotation, reflection and enlargement. It explores the degrees of freedom available, in terms of what does and doesn’t vary for each one.

6.4 Constructions

Core concept 6.4 explores: triangles of given lengths; a perpendicular bisector of a line segment; a perpendicular to a given line through a given point; an angle bisector.


  • Secondary
  • KS3
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