29 May 2026 GRADE 12 APPLIED

Posted onAuthorMrFTeach

Word of the Day:  Radians

Announcements

  • Last chance for Special Weekly Quiz.  The average for those six that wrote yesterday was 105% , so a few marks got bumped up.  A couple got bumped up by 7 or 8 %!  UPDATE:  Two final students wrote the optional quiz and bumped up their marks by 4% and 8% repectively. So here is the solution to the quiz: 28 May Quiz Solution.  It is in the folder with all the others.
  • Final Exam: Thursday 4 June.  One sitting only at 09:00 in the AM.  See Courtney’s Exam Details
  • Make sure you have the Final Exam Practice Questions.  Do most of them on the weekend, waiting for teacher to review them for you doesn’t work!

Today’s Lesson

  • Last chance [ Optional ] Quiz. There should be another 6 or 7 students writing the quiz to bump up their mark?  If a student does not write it then that is their choice, it will not affect their mark, but it certainly will not be bumped up.
  • Introduce the Grade 12 Applied Lessons we missed:  Sinusoidal Functions.  We had missed a special kind of function, a periodic (repeating pattern) and especially the basic Sinusoidal Function.  We will just quickly examine that for an hour. It will not be on the Final Exam.
    • Check out a good DESMOS Graph of a Sinusoidal Function.   You can play with the Amplitude (a), you can play with the Frequency (b).
    • Interactive Unit Circle.  We do not do triangles anymore, we don’t stop at 90 or 180 degrees, we keep going around and around.
    • Sinusoidal (and other Trigonometric and ‘Periodic’ Functions) tend to not use degrees to measure angles.  Angles are measured in ‘radians’.  After high school you will seldom see any serious math that uses degrees!  Here is a good movie to explain radians. Radians-What are they?
    • Maybe check out this animation of the Unit Curcle and how we make a Sine Wave! Geogebra Sine Wave
    • Let’s do one example problem for our Sinusoidal Workbook.  Do Question 5 in the January 2019 Provincial Exam
    • Check out the Tacoma Bridge Disaster!  Everything has a resonant frequency!
    • You can add sinusoidal functions together to make any repeating periodic shape you want: Square Wave.  These square pulses would be the digital packets that your cell phone sends, 600 million packet pulses per second or so.
    • So that is the type of stuff we would have done for 4 or 5 days in the Grade 12 Applied Sinusoidal Studies.  Not unlike any other functions we had studied.  They still have max, min, range, zeros, intercepts, and equations to solve.

Useful Resources: