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MathematicsGeometryAges 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

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“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?”

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

What to notice. 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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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?

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

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  • 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
“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?”

Curriculum record

Type
Procedural
Subject
Mathematics
Domain
Geometry
Age range
Ages 13–14

Standards

ccss-math:8.G.6ccss-math:8.G.7ccss-math:8.G.8uk-nc-2013:KS3.Maths.Geo.13uk-nc-2013:KS3.Maths.Geo.14