Secondary Maths – Topic Special: Pythagoras’ Theorem and Trigonometry
Collection Author: William Emeny, - Maths Secondary Panel Member
This area of maths provides rich opportunities to develop conceptual understanding. Students can investigate proofs of Pythagoras’ Theorem either geometrically or algebraically, while investigating the ratios of sides in similar triangles is a lovely practical way of introducing the concepts of trigonometry. These are topics that lend themselves to enquiry-based learning activities.
This collection brings together some of the best Pythagoras’ Theorem and trigonometry resources on TES. There is a balance of different types of resources to hopefully offer something appropriate for whatever class you are teaching.
Top 10 Resources:
- A comprehensive, high quality resource for teaching Pythagoras’ Theorem. The Excel file contains a series of dynamic presentations that show the concepts and procedures of calculating within this topic.
- A visually powerful presentation demonstrating Pythagoras’ Theorem and how to use it. The supporting worksheet gives pupils plenty of practice and follows the visual format of the presentation. Lots of challenging extension questions too.
- A stunning complete module of work to take pupils from the concept of enlargement, through similarity, ratios and then trigonometry. Starters, presentations, activities, homeworks and much more. A masterpiece of planning a high quality sequence of engaging lessons. Highly recommended.
- A brilliant treasure hunt activity. Each card contains a 3D trigonometry question. The hunt features an ‘orange route’ and a ‘green route’ to allow for differentiation.
- A superb worksheet that starts with simple calculations of missing side lengths in right angled triangles using Pythagoras’ Theorem, but then builds in complexity to include functional type questions that require pupils to show they can apply the theorem in context.
- A stunning investigation into the trigonometry ratios of similar triangles, which uses the free online interactive software, Geogebra. The author Laura Rees-Hughes is a resource megastar and you should certainly check out her resources site at www.numberloving.co.uk.
- A tremendously challenging activity to revise trigonometry and Pythagoras’ Theorem. Pupils have to climb a mountain of right angled triangles, calculating missing side lengths on the way up. The activity requires pupils to apply all the trig ratios and Pythagoras’ Theorem.
- A lovely set of notes, worked examples and then questions for pupils to learn and practice applying the Sine and Cosine rules. Includes the ambiguous case of the Sine Rule.
- An awesome revision booklet to help pupils revise trigonometry and Pythagoras. Goes up to and includes advanced trig. Lots of exam style questions for your pupils to get stuck into. Brilliant.
- Another superb treasure hunt activity. Each card contains a trigonometry question. Again, the treasure hunt features an ‘orange route’ and a ‘green route’ to allow for differentiation