Pythagoras' theorem

What the teaching sequence covers here

Verify that side lengths of a right-angled triangle satisfy Pythagoras' theorem, use the theorem to find the hypotenuse from the other two sides, prove it, for example by rearranging four identical right-angled triangles into a square, and generate new Pythagorean triples by scaling a known triple.

This is ChalkBee's own paraphrase of the official teaching sequence, not the Ministry's wording. Tahurangi curriculum content is Crown copyright, Ministry of Education, licensed CC BY-NC 4.0, so we describe it in our own words and cite the source: NZC Mathematics and Statistics Phase 4 (Years 9-10). Always check the official page for the exact requirement.