Mathematics·Geometry·procedural
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
Suggested ages 13–14
Evidence of understanding
- 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
Assessment prompt
If Types of angles (age 13+) 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?
Standards alignment
8.G.6US · ccss-math
Proof of Pythagorean Theorem
Common Core State Standards for Mathematics · 8
8.G.7US · ccss-math
Applying Pythagorean Theorem
Common Core State Standards for Mathematics · 8
8.G.8US · ccss-math
Distance in coordinate system
Common Core State Standards for Mathematics · 8
KS3.Maths.Geo.13GB · uk-nc-2013
Apply Angle Facts and Pythagoras' Theorem
The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3
KS3.Maths.Geo.14GB · uk-nc-2013
Pythagoras' Theorem and Trigonometry
The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3