The Wave Function
We have below bronze, silver and gold tutorials for our Higher Maths wave Function topic. 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! Be sure to mark your work for every exercise attempted and record your score and time taken in your recording grid.
Essential prior knowledge:-
Higher Maths; Topic 5 and topic 10
- Compound angle formula
- "Type 1" trig equations
- Sketching trigonnometric graphs
Contents:-
15.1 - The Wave Function
15.2 - The Wave Function - part (b)'s
15.1 - Calculating the Wave Function
In this module, we learn how to re-write expressions involving both sinx and cosx as a single, trigonometric identity. At bronze level we focus on 1st quadrant angles only. We then progress onto silver level where our angles can be in quadrants 2-4. Make sure you have a formula sheet handy!
In our gold video we learn what to do when our angles are measured in radians. Well worth a watch!
Video 152: Outcome 1 - For 1st quadrant angles. Grab a pen and your Rigour jotter. Make sure you try all the questions!
Video 153: Outcome 2 - For 2nd, 3rd and 4th quadrant angles. Remember to copy down the worked examples and take notes. These will help you revise and remember!
Video 154: Outcome 3 - Angles in radians. This is the final video in this module. After completing the questions why don't you try the past paper questions on this section at the bottom of the page?
15.2 - Using the Wave Function
So now that you've learned how to calculate the wave function, let's see if you can apply these skills. At bronze level in this module we use the wave function to help us solve trigonometric equations. At silver level we use the wave function to help us determine the maximum or minimum value of a function.
At gold level, we see how using the wave function can help us sketch trigonometric graphs.
Video 155: Outcome 1 - Using the wave function to solve trigonometric equations. Grab a pen and your Rigour jotter. Make sure you try all the questions!
Video 156: Outcome 2 - Using the wave function to determine maximum and minimum values. Remember to copy down the worked examples and take notes. These will help you revise and remember!
Video 157: Outcome 3 - Using the wave function to sketch trigonometric graphs. This is the final video in this module. After completing the questions why don't you try the past paper questions on this section at the bottom of the page?
Past Paper Questions
SQA Exam Questions
You will find below a collection of the Wave Function SQA pastpaper questions. You should click on a question, pause the video when instructed and give the question your best shot. Then un-pause the video and watch the worked solution. If the question is from paper 1 you should NOT use a calculator. You should make this section a regular place to come back to when revising. Even if you get the correct answer, it is recommended that you try all these questions more than once at various stages throughout the year.
14.2 - The Wave Function; part (b's)
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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