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NSW Curriculum
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K–10Mathematics K–10 Syllabus

Record of changes
Implementation for K–2 from 2023 and 3–10 from 2024
Expand for detailed implementation advice

Content

Stage 4

Right-angled triangles (Pythagoras’ theorem)
Identify and define Pythagoras’ theorem
  • Identify and describe the hypotenuse as the side opposite the right angle and the longest side in any right-angled triangle

  • Establish the relationship between the lengths of the sides of a right-angled triangle

  • Use the relationship to record and define Pythagoras’ theorem both algebraically and in words

Examine problems involving Pythagoras’ theorem
  • Apply Pythagoras’ theorem to find the unknown length of a side in a right-angled triangle, giving answers in an exact form or as decimal approximations

  • Apply the converse of Pythagoras’ theorem to establish whether a triangle is right angled

  • Solve practical problems involving Pythagoras’ theorem before exploring a variety of related problems

  • Justify whether a set of 3 integers is a Pythagorean triad

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