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1.5a - Working with the graphs of trigonometric functions

We have below bronze, silver and gold tutorials for Graphs of Trigonometric Functions in the Relationships 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?

Bronze Level

In our bronze module we look at identifying the amplitude and the period of trig graphs in addition to sketching them. We then look at finding basic exact values with the help of a table.

 

VIDEO 135: Outcome 1 - Identifying features on trig graphs. Grab a pen and your Rigour jotter. Make sure you try all the questions! 

Video 136: Outcome 2 - Sketching trig graphs. Remember to copy down the worked examples and take notes. These will help you revise and remember!

Video 137: Outcome 3 - Exact values. The final video in this module. After this, remember to think about your next steps!

Next steps at Bronze Level

Additonal questions to practise

Try this worksheet if you want more questions to practice. To check your answers click here.

N5 R 1.5a B Wk 3.pdf
Adobe Acrobat document [66.3 KB]

Bronze Level self-marking quiz

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!

 

Silver Level

Silver builds on these skills by "shifting" our graphs up and down. In outcome 3 we calculate the inverse of trig functions using our table to help us.

 

VIDEO 138: Outcome 1 - Identifying features on trig graphs. Grab a pen and your Rigour jotter. Make sure you try all the questions! 

Video 139: Outcome 2 - Sketching trig graphs. Remember to copy down the worked examples and take notes. These will help you revise and remember!

Video 140: Outcome 3 - Exact values. The final video in this module. After this, remember to think about your next steps!

Next steps at Silver Level

Additional questions to practise

Try this silver worksheet to consolidate these skills. To check your answers click here.

N5 R 1.5a S Wk 3.pdf
Adobe Acrobat document [848.5 KB]

Silver Level self-marking quiz

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!

 

Gold Level

In gold level we "shift" our graphs left and right and the exact values calculated are greater than 90o.

 

VIDEO 141: Outcome 1 - Identifying features on trig graphs. Grab a pen and your Rigour jotter. Make sure you try all the questions! 

Video 142: Outcome 2 - Sketching trig graphs. Remember to copy down the worked examples and take notes. These will help you revise and remember!

Video 143: Outcome 3 - Exact values. The final video in this module. After this, remember to think about your next steps!

Next steps at Gold Level

Additional questions to practise

Try this gold worksheet for practice. To check your answers click here.

N5 R 1.5a G Wk 3.pdf
Adobe Acrobat document [66.8 KB]

Gold Level self-marking quiz

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!

SQA Pastpaper Questions with Video Solutions...

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!

Congratulations!

You have completed this module - well done! Remember to go back and redo any areas of weakness, that's how we improve. If you are happy with all areas, go back to the main menu and pick another topic to practice!

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