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Maths
Year 9

Geometrical properties: similarity and Pythagoras' theorem

17 lessons

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  • Geometry and Measure

Description

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.

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.

  1. Checking understanding of similarity
  2. Checking understanding of congruence
  3. Similarity in shapes
  4. Congruence in shapes
  5. Congruent, similar or neither
  6. Rotational symmetry
  7. Congruent triangles (SSS)
  8. Congruent triangles (SAS)
  9. Congruent triangles (ASA and AAS)
  10. Congruent triangles (RHS)
  11. Applying the criteria for congruence
  12. Demonstrating Pythagoras' theorem
  13. Length of the hypotenuse
  14. Length of a shorter side
  15. Determining which side
  16. Pythagoras' theorem in context
  17. Problem solving with similarity and Pythagoras' theorem
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Use this KS3 and KS4 maths curriculum plan to follow carefully sequenced content that supports progr...

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