Word of the Day: Box and Whisker Plot
Announcements: Final Exam Thursday 4 June 09:00 AM in the morning
Today’s Lesson:
- Weekly Quiz. 75 Mins. A big quiz , lots of bonus questions. Able to get 140% on the quiz. Your result on the quiz will not jeopardize (not reduce) your current mark, for those with a lower mark it might bump it up by 3 or 4 % overall. As usual, the alternate quiz date is Friday.
- 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! Everthing has a resonant frquency!
- 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:
- Grade 12 Applied Exam Practice Questions (Issued)
- Daily Lesson Shared Folder. Everything we have done on the whiteboard every class
- Past Provincial Math Exams. 10 years (20 past exams with full solutions)
- Statistics Workbook with answers
- Our Quiz Debrief Solution Videos
- Our Quiz Debrief Handouts
- A Mathematics Glossary. A printable glossary of every term you are likley to ever encounter in High School
- Math is Fun Dictionary. A wonderful resource with notes and manipulatives and animations.