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Pythagoras and trigonometry

KS4 · 30 minutes · Find missing sides and angles in right-angled triangles.

Visual learning map for Pythagoras and trigonometry: observe, try, then explain. Find missing sides and angles in right-angled triangles.
Visual learning map for Pythagoras and trigonometry: observe, try, then explain. Find missing sides and angles in right-angled triangles.

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Our learning goal

Find missing sides and angles in right-angled triangles.

Your turn: Choose one thing you would like to understand by the end.

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Full teaching script
  1. Today: Pythagoras and trigonometry. Our goal: Find missing sides and angles in right-angled triangles.
  2. Take one idea at a time. Pause after each sentence; ask for repetition whenever you need it.
  3. In a right-angled triangle a² + b² = c², where c is the hypotenuse. For angles use SOH-CAH-TOA: sin = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite/adjacent. Label the triangle before choosing the ratio and you will not go wrong.
  4. Together: choose one example from the explanation and show how it works. What do you notice?
  5. Your turn: A ladder 5 m long rests 3 m from a wall. How high does it reach?
  6. Reflect: what made sense, and what would you like explained differently?
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