3.45 Pythagoras & Trigonometry 3D GCSE Higher PowerPoint Lesson

In this 18-slide lesson, students will apply their knowledge of Pythagoras’ Theorem and basic trigonometric ratios (sine, cosine, and tangent) to solve problems involving three-dimensional shapes such as cuboids, pyramids, and triangular prisms. They will learn how to identify and work with right-angled triangles within 3D diagrams, including diagonal cross-sections and slanted edges. Students will practise breaking down 3D problems into 2D components, using multiple steps to calculate unknown lengths and angles. This lesson reinforces spatial reasoning, builds fluency in applying mathematical techniques in unfamiliar contexts, and prepares students for multi-step problem solving.

Note this lesson is for the higher tier.

The lesson includes:

• Clear, guided examples

• Mini whiteboard section to check understanding and clarify misconceptions

• One structured task to practise key skills

• Challenge activity to extend and deepen learning

Perfect for engaging learners while reinforcing essential geometry concepts.