6.5 Unit Circle

Comic of the Day (http://ohyoumath.tumblr.com/image/526483835)

Tip: Never do math on an empty stomach
Warm Up and Questions from the Homework
Quiz Thu, Feb 28 (6.4 Radians and Arc Length)

Announcements

• Next quiz Tue, Mar 5 (6.5 Unit Circle and Function Values)
• Next unit exam Mon, Mar 11 (55 minutes, in class)
• Summary of Studying (SOS) must be completed to write unit exam

Today - 6.5 Unit Circle
Intermission (music courtesy of the Logarhythms)
Applet
http://www.mathsisfun.com/algebra/trig-interactive-unit-circle.html
http://www.learnalberta.ca/content/meda/html/theunitcircle/index.html
Notes

Homework
6.5 #1-23

Tomorrow - 6.5 Graphs of sin, cos, tanPre-read rest of 6.5

For more information
http://www.khanacademy.org/math/trigonometry/basic-trigonometry/unit_circle_tut/v/unit-circle-definition-of-trig-functions-1
http://www.khanacademy.org/math/trigonometry/basic-trigonometry/unit_circle_tut/v/we-unit-circle-definition-to-calculate-sin-and-cos-of-multiple-angles
http://www.khanacademy.org/math/trigonometry/basic-trigonometry/unit_circle_tut/v/finding-trig-function-values-using-unit-circle-definition
http://www.khanacademy.org/math/trigonometry/basic-trigonometry/unit_circle_tut/e/unit_circle

6.4 Applications of Radians

Comic of the Day

Tip: Stay on target... stay on target!

Warm Up and Questions from the Homework
Convert as an exact value, and rounded to 2 decimal places.
a) 235° = _____ rad
b) π° = _____ rad
c) 6.00 rad = ____°
d) 9π/7 rad = ____°
What is the length of an arc that subtends an angle of 70°, at a radius of 7cm?

Announcements

• Next quiz Thu, Feb 28 (6.4 Radians and Arc Length)
• Next unit exam Mon, Mar 11 (55 minutes, in class)
• Summary of Studying (SOS) must be completed to write unit exam

Today - 6.4 Applications of Radians
Notes

Intermission - Should tau replace pi?
http://www.numberphile.com/videos/tau.html

Homework
6.4 #61-67

Tomorrow - 6.5 Unit Circle
Pre-read 6.5

For more information
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/radians_tutorial/v/radian-measure-and-arc-length

6.4 Radian Measure Continued

Comic of the Day

Quiz (6.1, 6.3 Trig Review)

Warm Up and Questions from the Homework
Write an exact value in terms of π for each of the following:
a) 360° = _____ rad
b) 180° = _____ rad
c) 90° = _____ rad
d) 60° = _____ rad
e) 45° = _____ rad
f) 30° = _____ rad

Announcements

• Next quiz Thu, Feb 28 (6.4 Radians and Arc Length)
• Next unit exam Mon, Mar 11 (55 minutes, in class)
• Summary of Studying (SOS) must be completed to write unit exam

Today - 6.4 Radian Measure
Interactive Unit Circle
http://www.mathsisfun.com/algebra/trig-interactive-unit-circle.html
Notes

Homework
6.4 #1-59 odd (skip #7, 15-19)

Tomorrow - 6.4 Applications of Radians
Pre-read 6.4

For more information
http://patrickjmt.com/degrees-and-radians-and-converting-between-them-example-1/
http://patrickjmt.com/degrees-and-radians-and-converting-between-them-example-2/
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/radians_tutorial/v/radian-measure-and-arc-length
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/radians_tutorial/e/degrees_to_radians
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/radians_tutorial/e/radians_to_degrees

6.4 Radian Measure

Comic of the Day

Tip:  Diagrams help, but you still have to interpret the question

Warm Up and Questions from the Homework
a) Draw the two special triangles.
b) Draw a picture of the CAST rule.
c) What is the reference angle of 600°?

Announcements

• Unit 2 exam average 59%
• Next quiz Tue, Feb 26 (6.1, 6.3 Trig Review)
• Next unit exam Mon, Mar 11 (55 minutes, in class)

Today - Finish 6.3 Exact Function Values
Notes

Today - 6.4 Radian Measure
Arc length of equilateral triangle
Notes

Homework
6.3 #33-69, 87-97
6.4 #1-59 odd (skip #7, 15-19)


Tomorrow - 6.4 Radians
Pre-read 6.4

For more information
http://patrickjmt.com/degrees-and-radians-and-converting-between-them-example-1/
http://patrickjmt.com/degrees-and-radians-and-converting-between-them-example-2/

6.3 Trigonometric Functions of Any Angle

Comic of the Day

Tip:  Was it SOH CAH TOA, or CHO SHA CAO?

Warm Up and Questions from the Homework
Draw the two special triangles, and determine the exact value of sin60° and sec45°

Announcements

• Reading Week Feb 18-22 (no classes)
• Next quiz Tue, Feb 26 (6.1, 6.3 Trig Review)
• Next unit exam Mon, Mar 11 (55 minutes, in class)

Today - 6.3 Trig Functions of Any Angles
Notes

Homework
6.3 #1-17, 25, 27, 33-69, 87-97


Tomorrow - Reading Week
Use the time to get a good foundation of 6.1-6.3, and pre-read 6.4

For more information
http://patrickjmt.com/special-right-triangles-in-geometry-45-45-90-and-30-60-90/
http://patrickjmt.com/finding-trigonometric-values-given-one-trigonometric-valueother-info-example-2/
http://patrickjmt.com/finding-trigonometric-values-given-one-trigonometric-valueother-info-example-1/

6.1, 6.3 Review of Trigonometry

Comic of the Day

Tip:  Life is more enjoyable when you know a bit of math

Warm Up and Questions from the Homework
If the two short sides of a right triangle are 6cm and 8cm, how long is the longest side?

Announcements

• Reading Week Feb 18-22 (no classes)
• Next quiz Tue, Feb 26 (6.1, 6.3 Trig Review)
• Next unit exam Mon, Mar 11 (55 minutes, in class)

Today - 6.1 Trig Functions of Acute Angles
Notes

Homework
6.1 #1-7, 17-29, 55, 61-97

6.3 Trig Functions of Any Angles
Notes

Homework
#1-17 odd, #25, 27

Tomorrow - 6.3 Trig Functions of Any Angles
Pre-read 6.3 and homework #33-69, 87-97

For more information
https://www.khanacademy.org/math/trigonometry/basic-trigonometry

https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/basic-trigonometry

Review of Unit 2

Comic of the Day

Tip:  Some patterns are good, some patterns are bad

Warm Up and Questions from the Homework
Quiz on 5.5b Log Eqns - 5.6 Models
Review quiz

Announcements

• Next unit exam Wed, Feb 13 (55 minutes, in class)
• Reading Week Feb 18-22 (no classes)

Today - Review
Jeopardy
Telegraph
This is just awesome, and could be used for logarithms and exponents
http://htwins.net/scale2/index.html

Homework
Review materials on Moodle or textbook

Tomorrow - Review

• Unit exam (I bring questions, you bring answers)

For more information
http://moodle.nait.ca/course/view.php?id=10373

5.6 Exponential Models

Comic of the Day

Tip:  Zombie population growth is exponential, so watch out.

Warm Up and Questions from the Homework
Solve the following (round to 3 decimal places if required):
a) 
b) 

Announcements

• Next quiz on Tue, Feb 12 (5.5b Log Eqns - 5.6 Models)
• Next unit exam Wed, Feb 13 (55 minutes, in class)

Today - 5.6 Exponential Growth Models
Notes

Homework
5.6 #1-21 odd 

Tomorrow - Review

• Bring your Summary of Studying (SOS)
• I will also be doing some review after the quiz

For more information
https://www.khanacademy.org/math/trigonometry/exponential_and_logarithmic_func/exp_growth_decay/v/word-problem-solving--exponential-growth-and-decay

5.5 Logarithmic Equations and 5.5 Exponential Models

Comic of the Day

Tip:  The more you learn, the more jokes you understand.

Warm Up and Questions from the Homework
Solve the following (round to 3 decimal places if required):
a) 
b) 

Announcements

• Next quiz on Tue, Feb 12 (5.5b Log Eqns - 5.6 Models)
• Next unit exam Wed, Feb 13 (55 minutes, in class)

Today - 5.6 Exponential Growth Models

What equation could be used to describe/predict the share price?

Homework
5.6 #1-21 odd (we will also continue on Monday

Tomorrow - 5.6 Models
Continue homework #1-21


For more information
https://www.khanacademy.org/math/trigonometry/exponential_and_logarithmic_func/exp_growth_decay/v/word-problem-solving--exponential-growth-and-decay

5.5 Logarithmic Equations

February 7th is e Day!  Happy e day!

2.71828182845904523536028747135266249775724709369995...

Comic of the Day

Tip:  Talking math* at the bar always brings the ladies
* and by math, I mean discussing how much money you make

Warm Up and Questions from the Homework
Quiz on Thu, Feb 7 (5.3 Log Applications - 5.5a Exp. Eqns) 

Announcements

• Next quiz on Tue, Feb 12 (5.5b Log Eqns - 5.6 Models)
• Next unit exam Wed, Feb 13 (55 minutes, in class)

Today - 5.5 Logarithmic Equations
Notes

Homework
5.5 #31-61 odd

Tomorrow - 5.6 Applications of Exponents/Logarithms
Pre-read 5.6 and homework #1-21


For more information
http://patrickjmt.com/solving-logarithmic-equations-example-1/
http://patrickjmt.com/solving-logarithmic-equations-example-2/

5.5 Exponential Equations

Comic of the Day

Anti-studying tip: Hard work might pay off eventually, but procrastination always pays off now.  

Warm Up and Questions from the Homework
a) According to Alan Cross, music records today are 16 dB louder than a record made in 1980.  How many times more intense is the sound, given that: 


b) Simplify 
c) Solve



Announcements

• Next quiz on Thu, Feb 7 (5.3 Log Applications - 5.5a Exp. Eqns) and Tue, Feb 12 (5.5b Log Eqns - 5.6 Models)
• Next unit exam Wed, Feb 13 (55 minutes, in class)

Today - 5.5 Exponential Equations
Notes

Homework
5.5 #1-29 odd

Tomorrow - 5.5 Logarithmic Equations
Pre-read 5.5 and look at homework questions #31-61 odd

For more information
http://patrickjmt.com/solving-exponential-equations/

5.4 Properties of Logarithms continued

Comic of the Day

Tip: I speak for the trees.  Use logarithmic scales.

Return quizzes
Feedback from Start-Stop-Continue

Warm Up and Questions from the Homework
Use the properties of logarithms to either combine or separate
a)  

b)
    
c) 
     
d) 



Announcements

• Next quiz on Thu, Feb 7 and Tue, Feb 12
• Next unit exam Wed, Feb 13 (55 minutes, in class)

Today - 5.4 Properties of Logarithms continued
Notes

Homework
5.4 #65-75 odd
Play this awesome Frogger Logger Game to practice properties of logarithms!
http://www.ltcconline.net/greenl/java/IntermedCollegeAlgebra/logger.htm

Tomorrow - 5.5 Exponential Equations
Pre-read 5.5 and look at homework questions #1-29 odd

For more information
http://patrickjmt.com/properties-of-logarithms-part-1/
http://patrickjmt.com/properties-of-logarithms-part-2/
http://patrickjmt.com/properties-of-logarithms/
https://www.khanacademy.org/math/algebra/logarithms-tutorial/logarithm_properties/v/introduction-to-logarithm-properties

5.4 Properties of Logarithms

Comic of the Day

Tip: When evaluating a logarithm, ask yourself "the exponent that takes us from the base to the power"

Quiz (4.5 Rational Functions, 5.1-5.3 Exponential and Logarithmic Functions)

Warm Up
Start-Stop-Continue

Announcements

• Next quiz scheduled for Thu, Feb 7 
• Next unit exam Wed, Feb 13 (55 minutes, in class)

Today - 5.4 Properties of Logarithms
Notes
Intermission - Everyone wants a log!
http://youtu.be/eusMzC7Rx7M


Homework
Add 5.3 #69-101 (odd) to homework
5.4 #1-63 odd

Tomorrow - 5.4 Properties of Logarithms continued
Pre-read 5.4

For more information
http://patrickjmt.com/properties-of-logarithms-part-1/
http://patrickjmt.com/properties-of-logarithms-part-2/
http://patrickjmt.com/properties-of-logarithms/
https://www.khanacademy.org/math/algebra/logarithms-tutorial/logarithm_properties/v/introduction-to-logarithm-properties

5.3 Change of Base Formula

Comic of the Day

Tip: Try logarithms

Warm Up
Rearrange the following equations from exponential to logarithm form or vice-versa

a) 

b) 

c) 

d) 

Announcements

• Next quiz tentatively scheduled for Mon, Feb 4 (4.5 Rational Functions, 5.1-5.3 Exponential and Logarithmic Functions)
• Next unit exam Wed, Feb 13 (55 minutes, in class)
• SOS posted on Moodle to help your studying

Today - 5.3 Change of Base Formula
Notes

Homework
Add 5.3 #69-101 odd to homework

Tomorrow - 5.4 Properties of Logarithms
Pre-read 5.4

For more information
http://www.khanacademy.org/math/algebra/logarithms/v/change-of-base-formula 
http://www.khanacademy.org/math/algebra/logarithms/v/natural-logarithm-with-a-calculator 
http://www.khanacademy.org/math/algebra/logarithms/v/calculator-for-natural-logarithms 
http://patrickjmt.com/change-of-base-formula-for-logarithms/