Trigonometry: The Sine Rule

A KS3 & GCSE Maths trigonometry lesson pack focused on applying the Sine Rule to find unknown sides and angles in non-right-angled triangles. Includes worked examples and exam-style questions.

Description

Resource Description

This Trigonometry: The Sine Rule lesson pack is a clear, exam-focused digital maths resource designed to help KS3 and GCSE (Foundation & Higher) students understand and apply the Law of Sines (Sine Rule) to solve problems involving non-right-angled triangles.

The resource explains when and why the Sine Rule is used, then guides students through step-by-step worked examples, algebraic rearrangement, and calculator-based problem solving. Students practise finding unknown sides and unknown angles, including questions that require careful interpretation and rounding.

This pack is ideal for classroom delivery, revision, intervention sessions, and exam preparation, supporting students as they transition from right-angled trigonometry to advanced triangle calculations.


 What’s Included:

  • Clear explanation of the Sine Rule (Law of Sines)

  • When to use the Sine Rule vs other trigonometric methods

  • Formula presented clearly:

    • a / sin A = b / sin B = c / sin C

  • Identification of opposite sides and angles

  • Step-by-step worked examples

  • Finding:

    • Unknown sides

    • Unknown angles

  • Practice questions worksheet

  • Exam-style questions with full method

  • Rounding to decimal places and significant figures

  • Clean diagrams aligned with GCSE exam standards


🎯 Ideal For:

  • KS3 extension and progression

  • GCSE Foundation & Higher trigonometry

  • Homework and independent learning

  • Catch-up and intervention groups

  • Exam preparation and confidence building

This resource strengthens algebraic reasoning, trigonometric understanding, and exam technique, ensuring students know how to apply the Sine Rule accurately under exam conditions.


Key Learning Outcomes

By the end of this lesson, students will be able to:

  • State the Sine Rule correctly

  • Identify opposite sides and angles

  • Decide when the Sine Rule is appropriate

  • Rearrange and apply the formula accurately

  • Solve triangle problems involving angles and sides

  • Present clear, exam-ready solutions

Additional information

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