Year 11 - Maths
Considering the appropriate trigonometric rule
Non right-angled trigonometry
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit, pupils explore how to apply knowledge in trigonometry to non right-angled triangles.
Lesson Summary
You will learn to consider which approach is useful considering the properties/restrictions of a problem.
Key Notes
- At this point, you have multiple strategies available
- By analysing the problem, you can determine which approach(es) might work
- Keeping the goal in mind helps to focus your thinking
- Consider the information you have and whether you need to know anything else in order to solve the problem
- If you are unsure where to start, begin by calculating/deducing what you can
Vocabulary To Learn
- Sine rule: The sine rule is a formula used for calculating either an unknown side length or the size of an unknown angle.
- Cosine rule: The cosine rule is a formula used for calculating either an unknown side length or the size of an unknown angle.
Common Mistakes To Avoid
- Pupils may be hesitant to start the problems due to uncertainty.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
At this point, you have multiple strategies available. By analysing the problem, you can determine which approach(es) might work.
2. Use this key word in a maths sentence and explain it clearly. 'Sine rule'
The sine rule is a formula used for calculating either an unknown side length or the size of an unknown angle. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils may be hesitant to start the problems due to uncertainty. Correction: Encourage pupils to try an approach and then reflect on whether there has been progress towards a solution. Deducing something you didn't already know if progress even if it does not seem like it.
More Lessons In This Unit
- Calculating the area of any triangle when the height is not known Study Guide
- Checking and securing understanding of trigonometric ratios Study Guide
- Drawing the sine and cosine graphs Study Guide
- Drawing the tangent graph Study Guide
- Interpreting the trigonometric graphs Study Guide
- Problem solving with non right-angled trigonometry Study Guide
- The area of any triangle Study Guide
- The cosine rule Study Guide
- The sine rule Study Guide
- Using the sine and cosine rules Study Guide
Browse all guides in the Year 11 Maths guide library.