Geometrical properties: similarity and Pythagoras' theorem
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Why this why now
This unit builds on knowledge developed in work on transformations, angles and properties of triangles. Pupils explored the effects of different transformations and whether the transformed shape was congruent or similar to the original shape. This knowledge is built upon and applied to new contexts as pupils formalise the criteria for determining congruence in triangles and study rotational symmetry. This unit also prepares pupils for learning about trigonometry to extend a right-angled triangle in the unit circle to any other right-angled triangle.
Prior knowledge requirements
- Recognise right-angled triangles
- Apply Pythagoras' Theorem to find missing lengths
- Use ratios in similar shapes
Threads
Why this why now
This unit builds on knowledge developed in work on transformations, angles and properties of triangles. Pupils explored the effects of different transformations and whether the transformed shape was congruent or similar to the original shape. This knowledge is built upon and applied to new contexts as pupils formalise the criteria for determining congruence in triangles and study rotational symmetry. This unit also prepares pupils for learning about trigonometry to extend a right-angled triangle in the unit circle to any other right-angled triangle.
Prior knowledge requirements
- Recognise right-angled triangles
- Apply Pythagoras' Theorem to find missing lengths
- Use ratios in similar shapes
Geometrical properties: similarity and Pythagoras' theorem
This unit explores the concepts of congruence and similarity, and ways to prove or disprove similarity between shapes. We then explore further properties of triangles with Pythagoras' Theorem.
18 lessons in unit
slide decks, worksheet PDFs, quizzes and lesson overviews. You can select individual lessons from the Geometrical properties: similarity and Pythagoras' theorem unit and download the resources you need, or download the entire unit now. See every unit listed in our secondary maths curriculum and discover more of our teaching resources for secondary maths programmes.
