Mathematics Geometryusually ages 13–14

Types of angles (age 13+)

Apply Pythagoras’ Theorem (a² + b² = c²) to calculate unknown side lengths in right-angled triangles, including in real-world and coordinate-geometry contexts

How to tell they’ve got it

Tick these off as you see them — no test required.

Calculate the hypotenuse of a right-angled triangle given the two shorter sides
Find a shorter side given the hypotenuse and the other short side
Use Pythagoras’ Theorem to find the distance between two points on a coordinate grid

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Try this together

If your child wants to check whether a shelf bracket makes a perfect right angle and the sides measure 30 cm, 40 cm, and 50 cm, can they use Pythagoras to verify?

Where this sits on the map

Stuck here? Check the skills it builds on first. Confident? Here’s what it unlocks.

Builds on

Angle sums in triangles and polygonsages 11–14Pythagoras requires understanding triangle angle sums and properties

Simple formulaeages 12–14Rearranging a² + b² = c² to find a shorter side uses formula rearrangement

Types of angles (age 13+)this skill · ages 13–14

Unlocks

Trigonometry basicsages 13–15Trigonometry extends Pythagoras by introducing angle-side relationships

solid = must come firstdashed = helps

Curriculum alignment

Candidate matches to official curriculum codes — machine-suggested, unreviewed (v0.1).

This skill sits beyond Year 6 in the Australian Curriculum, so no F–6 code is matched. It also sits beyond the NSW K–6 syllabuses. It also sits beyond Level 6 in the Victorian Curriculum.

Nearby on the map

Trigonometry basicsages 13–15 Angles in triangles (age 12+)ages 12–14 Angles with parallel linesages 12–14 Circles: Circumference & Areaages 12–14

All Geometry skills →