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Selected topic Types of angles (age 13+) Mathematics · Geometry · view full details
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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

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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