AC9M8M06 Year 8 Mathematics

This Content Descriptor from Year 8 Mathematics provides the specific knowledge and skills students should learn. Use it to plan lessons, create learning sequences, and design assessments that align with the Australian Curriculum v9.

use Pythagoras’ theorem to solve problems involving the side lengths of right-angled triangles

Elaborations

• 1 discussing and comparing different applications, demonstrations and proofs of Pythagoras’ theorem, from Egypt and Mesopotamia, Greece, India and China with other historical and contemporary applications and proofs
• 2 using Pythagoras’ theorem to determine unknown lengths of sides in right-angled triangles and finding lengths of sides of right-angled triangles in practical applications
• 3 recognising the relationship between the squares of lengths of sides for different types of triangles: right-angled, acute or obtuse
• 4 identifying Pythagorean triples, such as (\(3,4,5\)), (\(5,12,13\)), (\(7, 24, 25\)) and (\(8,15, 17\))
• 5 investigating how Pythagoras' theorem can be applied to determine the distance between two points in the plane, and how this can be used by predictive algorithms to navigate autonomous vehicles

Related Achievement Standards