We have below bronze, silver and gold tutorials for Trigonometry in Triangles in the Applications unit of National 5 Mathematics. Bronze tutorials are typically unit assessment standard with the silver tutorials providing typical "exam type" questions as examples. If you can manage these you should try our more advanced gold tutorials containing the more unpleasant "exam type" questions. Typically as you work through the modules, the difficulty of the skills increase by one step ensuring smooth progression. Simply click on the video to play it and pause it at the relevant points for you to attempt the questions. Each tutorial has a corresponding worksheet for you to download if additional practice is required. Make sure you have a pen and paper handy! Once you've mastered the skills, why not try the Pastpaper questions at the bottom of the page?
You should already be familiar with right-angled trigonometry (SOH CAH TOA) from 4th Level Maths. You should also know how to calculate the area of a triangle when given the base and the perpendicular height from 3rd Level Numeracy. This bronze module introduces you to 3 new formulae; the area of a triangle, the sine rule and the cosine rule.
VIDEO 149: Outcome 1 - The area of a triangle. Grab a pen and your Rigour jotter. Make sure you try all the questions!
Video 150: Outcome 2 - Sine rule (finding a side). Remember to copy down the worked examples and take notes. These will help you revise and remember!
Video 151: Outcome 3 - Cosine rule (finding a side). The final video in this module. After this, remember to think about your next steps!
You get better at these rules with practice so try this bronze worksheet. To check your answers click here.
If you feel you have mastered these skills why not try this short quiz under exam conditions? You will be provided with instant feedback so be sure to view it. Remember to re-do any video lessons (or use the worksheet) for any questions you answered incorrectly. Once you have completed the quiz, record the score in your profile and move onto silver level!
Video 153: Outcome 2 - Sine rule (finding a side). Remember to copy down the worked examples and take notes. These will help you revise and remember!
Video 154: Outcome 3 - Cosine rule (finding a side). The final video in this module. After this, remember to think about your next steps!
Further consolidation can be gained from completing this silver worksheet. Answers can be viewed here.
If you feel you have mastered these skills why not try this short quiz under exam conditions? You will be provided with instant feedback so be sure to view it. Remember to re-do any video lessons (or use the worksheet) for any questions you answered incorrectly. Once you have completed the quiz, record the score in your profile, go for gold and/or try the past paper questions!
Video 156: Outcome 2 - Sine rule (finding an angle). Remember to copy down the worked examples and take notes. These will help you revise and remember!
Video 157: Outcome 3 - Cosine rule (finding an angle). The final video in this module. After this, remember to think about your next steps!
Ensure you attempt this gold worksheet for more practice. Answers can be viewed here.
If you feel you have mastered these skills why not try this short quiz under exam conditions? You will be provided with instant feedback so be sure to view it. Remember to re-do any video lessons (or use the worksheet) for any questions you answered incorrectly. Once you have completed the quiz; record the score in your profile and try the past paper questions!
Once you have mastered the skills, why not try the pastpaper questions? Click on each question to play the video. Pause it when prompted to do so and have a go yourself first. When you've finished check the solution. You should aim to complete these questions more than once at various stages throughout the year. If you feel that you need more practice at that particular question go to the practice area suggested in the video...good luck!
National 5 Mathematics SQA Pastpaper Questions...