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Prerequisites
Essential: N6a – Using powers and roots
Part 1 – Pythagoras’ Theorem in 2D
Teacher resources for Part 1
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- Slides in PPTX (with click-to-reveal answers)
- Slides in PDF (one slide per page, suitable for importing into IWB software)
- Worksheet (with space for student work)
- Handout (slides with exercises only; 4 per page for reduced printing)
- Skills drill worksheet (15 questions on one side of A4; answers included)
- An interesting problem (log in to access link)
Links to past exam and UKMT questions
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Geoboard activity
Unlimited practice questions
Interactive Geogebra activity: A proof of Pythagoras’ Theorem
Drag the slider at the bottom right for a visual step-by-step proof of Pythagoras’ Theorem. This is for information only; you will not explicitly be asked to prove Pythagoras’ Theorem at GCSE.With thanks to Beatrice Tiron, whose Teorema lui Pitagora worksheet is available here. Material modified and embedded here under the CC-BY-SA 3.0 license.
Part 2 – Pythagoras’ Theorem in 3D
Teacher resources for Part 2
Links to past exam questions
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Interactive GeoGebra activity: Pythagoras in 3D: Can you find the length of AH?
Rotate the cuboid by clicking and dragging the mouse. Hold down shift and drag to translate the cuboid. With thanks to Mr Newell, whose Pythagoras Q1 worksheet is available here. Material modified and embedded here under the CC-BY-SA 3.0 license.In the real world
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What next?
- G20b – Trigonometric ratios – sin, cos and tan
- Pythagoras and surds assorted problems – requiring knowledge of G20a, N8b, G17a, and G16c
- Trigonometry assorted problems – requiring knowledge of G20a, G20b, G20c, G22a, G22b, and G23a