Nov. 30 Class

Congratulations on completing the test.  Here is the next unit:

New Unit: Exponential Functions!

Here are the handouts:

• Daily Plan
• Exponents review

Here are the notes:

Nov. 27 Class

Today was mainly a work period but I started with a quick review.

Here are the notes:

Homework: Review for test,
Cumulative Review

• p. 382 #6-9, 27-29
• p. 292 #1-11
• p. 357 #1-9

Nov. 26 Class

Today we did a formative quiz and took up the solutions.

Here is a copy of the quiz: Unit 6 Formative Quiz

And here are the solutions,

Homework: P. 380 #1-6, P. 383 #10-15, 25, 26

Nov. 22 Class

Today we put all our transformations together and graphed a sine function with stretches, compressions and translations.

Handout: Transformations of Sine

Here are the notes:

Homework: Complete the handout, P. 328 # 1 – 12, skip #3.

Nov. 21 Class

Today we discussed stretches and compressions of the sine function.

Here is the handout: Stretches of the Sine Function

We also took some time to go over the handout from yesterday.  Here are the notes:

Homework: P. 373 # 1–18

Nov. 20 Class

Today we discussed how to transform the sine function.  We looked at vertical and horizontal translations.  Vertical translations take the form:

and horizontal translations take the form:

We then practiced sketching some examples.

Handout: Translations of Sine

Here are the notes:

Homework: Complete the handout, P. 365 # 1-13

Nov. 19 Class

Today we continued with looking at the sine function.  We did some more sketching and I showed you how to sketch the sine graph without a table of values.  Here are the notes from today:

Handout: Comparing Sinusoidal Functions

Homework: P. 348 # 1 - 13

Nov. 16 Class

Today we looked more closely at a specific type of a periodic function called sinusoidal functions.  This is the main topic of this unit.

Handouts:

• Waterwheel
• Sinusoidal functions

We began by graphing the height of a nail on a waterwheel such as the one on the side off this house:

Here's a more mathematical diagram:

As the wheel rotates, the height of the nail (located at x) changes.  We graphed this height as a function of the angle and it gave us this:

Get familiar with this shape because we will be graphing it a lot this unit!

Here are the notes form today:

    

Homework: P. 393 # 1-10

Nov. 15 Class

New Unit: Sinusoidal Functions


Handout: Unit 6 Daily Plan

Handout: Periodic behaviour worksheet


Today we discussed what it meant for a something to be periodic.  If a behaviour is periodic, it means it repeats itself over and over again at regular intervals.  For example:

A see saw.

Any ride at an amusement park.

The four seasons.

The vibration of a tuning fork.

When we graph these behaviours over time we get periodic functions.  These are functions that repeat themselves at regular intervals.

Examples:

Periodic: the pointy shape repeats itself every 4 units.

Periodic: Both the red and green graphs repeat themselves every 2 pi.

Periodic: It doesn't matter how complicated the shape is, if it repeats itself at regular intervals, it is periodic.

Non-periodic:  It looks like it repeats itself on the right side, but the left side definitely does not repeat.

Non-periodic: The shape repeat itself, but it is getting smaller each time, so it is non-periodic.

A circle itself is not a periodic function, but if you were to graph the height as you move around the circle, you do get a periodic function.

We then then graphed a periodic function and used it to make predictions.


Homework: P. 330 # 1-13

Nov. 13 Class

Congratulations on completing the 5th unit test!

I surveyed the class and about splitting the test over two days and here are the results:

• 1/3 in favour
• 1/3 against
• 1/3 don't care

After weighing all the factors, I've decided we will stick with the two day testing.  I will make sure the next test is back to back to avoid having days in between.

Performance Task

The performance task is tomorrow!  Today I reminded you of a few things to study for and gave you a new copy of a previous handout because it was not available on this site.

Details about the task:

• 3 pages double sided notes (make copies for yourself).
• 5 minutes to read (no writing or calculators).
• 10 minutes to discuss with your groups (no writing or calculators).
• Rest of the time to write your solutions individually.

Notes are due before class.  Please drop them off in the morning (Art office room 55), or during period 1 or 2.

Good luck in your studies!

Nov. 9 Class

I hope the first half of your test went well yesterday.  Here is the extra practice and the extra practice solutions that was provided today.

Trigonometry Extra Practice
Trigonometry Extra Practice Solutions

Nov. 7 Class

Dear Class,

I had to fly out to Calgary for family reasons over these few days.  I wish I could be there to help you prepare for your test, but I'm sure you will do well.

Here are the solutions to the practice quizzes.  Please review these in preparation for your test tomorrow.

Best of luck!

Handouts

• Chapter 5 Review Quiz
• Chapter 5 Review Quiz Solutions
• Practice Quiz 
• Practice Quiz Solutions

Homework:  Review the quizzes, P. 316 #1-8

Nov. 5 Class

Today we discussed when to use Sine Law and when to use Cosine Law.  Here are the notes:

Handout: Oblique Triangle Problems

Here are some examples I worked out in class.

Homework: Complete handout, P. 309 #1-14

Nov. 2 Class

Today we discussed Cosine Law.  You can use it in three different forms:

All of which are equivalent, so choose whichever you wish depending on the situation.

You can use it to solve for side lengths (a, b, c) or for angles (A, B, C).  Here are a couple of examples I showed in class.

Handouts:

• Cosine Law part 1 
• Cosine Law part 2

Homework: Complete worksheet, P. 299 # 1-12

Nov. 1 Class

Today we discussed the Sine Law.  We all drew different triangles and found out that the ratios

are the same for every triangle.  This allows us to write down the Sine Law,

or alternatively,

This works fo ANY triangle, so allows us an alternative to solving triangles in addition to using SOH CAH TOA.

Here are some notes from today:

Handouts:

• Sine Law

Homework: P. 288 # 1-12, Complete Handout