Applying trigonometric ratios in 3D
I can apply knowledge of trigonometric ratios to 3D problems.
Applying trigonometric ratios in 3D
I can apply knowledge of trigonometric ratios to 3D problems.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- If angles are involved, then you may wish to apply trigonometric ratios to the 3D problem
- This allows you to calculate the angle between the line and the plane
- It can also be used to find missing lengths if the angle is known
Keywords
Hypotenuse - The hypotenuse is the side of a right-angled triangle which is opposite the right angle.
Trigonometric ratios - The trigonometric ratios are ratios between each pair of lengths in a right-angled triangle.
Cross-section - A cross-section is a 2D face made from cutting straight through any plane of a 3D object.
Common misconception
Trigonometric ratios cannot be applied to 3D shapes.
Pupils may benefit from imaging the cuboid is 'sliced' through and a triangle drawn on the now visible face.
To help you plan your year 10 maths lesson on: Applying trigonometric ratios in 3D, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Applying trigonometric ratios in 3D, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Right-angled trigonometry unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Starter quiz
6 Questions








Exit quiz
6 Questions





