Monday, March 25, 2013

7.5 Continued Solving Trig Equations (Quadratic, Identities, Squaring)

Comic of the Day

Tip: You'll use it in your next math class

Warm Up and Questions from the Homework
Solve: 


Announcements
  • Next quiz Tue, Mar 26 in 2nd hour (7.5 Solving Trig Equations, also see worksheet #6 on Moodle for extra practice)
  • Next unit exam Thu, Mar 28 (55 minutes, in class)
  • Summary of Studying (SOS) must be completed to write unit exam, including the Trig Identities Puzzle Game (write out what was done between each step)
Today - 7.5 Using Identities to Solve Equations
Notes

Homework
7.5 #1-43
Worksheet 6 on Moodle

Tomorrow - 7.5 Finish Solve Trig Equations
Preread rest of 7.5

For more information

Friday, March 22, 2013

7.5 Introduction to Trig Equations

Comic of the Day

Tip: Use only established identities that look exactly like the formula sheet, don't make up your own on the fly


Review Quiz 7.2-7.3 Double- and Half-Angle Identities, General Trig Identities (key on Moodle)

Warm Up and Questions from the Homework
a) Solve: 
b) Solve: 
b) Factor: 

Announcements
  • Next quiz Tue, Mar 26 in 2nd hour (7.5 Solving Trig Equations, also see worksheet #6 on Moodle for extra practice)
  • Next unit exam Thu, Mar 28 (55 minutes, in class)
  • Summary of Studying (SOS) must be completed to write unit exam, including the Trig Identities Puzzle Game (write out what was done between each step)
Today - 7.5 Introduction to Trig Equations
Notes

Homework
7.5 #1-25
Worksheet 6 on Moodle

Tomorrow - 7.5 Using Identities to Solve Equations
Preread rest of 7.5 and try #27-43

For more information

Thursday, March 21, 2013

7.3 Practice General Trig Identities

Comic of the Day

Tip: The goal isn't to complete a proof in the minimum number of steps, it's to clearly show what was done in each step

Warm Up and Questions from the Homework
"The most important thing (or the thing that you should always do first) when using a formula from your formula sheet is to _______________"

Review Identities Puzzle Activity (hand in with SOS)

Announcements
  • Next quiz Tue, Mar 26 in 2nd hour (7.5 Solving Trig Equations, also see worksheet #6 on Moodle for extra practice)
  • Next unit exam Thu, Mar 28 (55 minutes, in class)
  • Summary of Studying (SOS) must be completed to write unit exam
Today - 7.3 General Trig Identities
Practice Quiz 7.3
Quiz 7.2-7.3 Double- and Half-Angle Identities, General Trig Identities


Homework
7.3 #1-41
Worksheets 4-5 on Moodle

Tomorrow - 7.5 Trig Equations


For more information

Wednesday, March 20, 2013

7.3 General Trig Identities


Comic of the Day

Tip: Before you get all the way to the answer, you have to get half-way to the answer...

Warm Up and Questions from the Homework
"The most important thing (or the thing that you should always do first) when using a formula from your formula sheet is to _______________"

Review Quiz 7.1

Announcements
  • Next quiz Thu, Mar 19 in 2nd hour (7.2-7.3 Double- and Half-Angle Identities, General Trig Identities, also see worksheets #4-5 on Moodle for extra practice on proofs)
  • Next unit exam Thu, Mar 28 (55 minutes, in class)
  • Summary of Studying (SOS) must be completed to write unit exam
Today - 7.3 General Trig Identities
See tips in textbook (p. 606)
Identities Puzzle Activity - Instructions
1) Get into groups of 2-3 and pull two desks together

2) Open the envelope and careful spread out the pieces of paper

3) Try to place the papers into 5 groups that look similar (will be the steps to solving the 5 identities

4) Give 1 group of papers to 1 person to try and put into the correct order (have one master sheet)

5) The first group to take a picture of their completed puzzle will win a prize (flag me down if you need me to take a picture)

Homework
7.3 #1-41
Worksheets 4-5 on Moodle

Tomorrow - 7.3 Continue General Trig Identities
Pre-read rest of 7.3


For more information

Monday, March 18, 2013

7.2 Double- and Half-Angle Identities

Comic of the Day
Tip: Another identity from the 1980s is the Star Wars Identity:



Warm Up and Questions from the Homework
a) Use the sum or difference identities to evaluate the exact value of sin105°
b) Determine the exact value of the following:



Announcements
  • Next quiz Tue, Mar 19 (7.1 Basic Trig Identities, also see worksheets #1-3 on Moodle for extra practice on proofs)
  • Next unit exam Thu, Mar 28 (55 minutes, in class)
  • Summary of Studying (SOS) must be completed to write unit exam
Today - 7.2 Double- and Half-Angle Identities
Notes

Homework
7.2 #9-41
Worksheets 4 & 5 on Moodle

Tomorrow - 7.2 Continue Double-Angle and Half-Angle Identities

For more information

Friday, March 15, 2013

7.1 Sum/Difference Identities

Comic of the Day 

Tip: Meditation isn't a good strategy for math tests either

How to become an expert at anything
"...estimated that chess experts spend up to 50,000 hours learning to play chess"
"...tested experts and beginning players with randomly placed pieces. With random positions (those which did not make sense in chess) experts were no better at memorizing board positions than beginners. With meaningful positions, the experts were much better than beginners."
"The same is true in any domain of expertise.  The expert learns to recognize significant patterns and remember them easily."

Warm Up and Questions from the Homework
Factor and simplify:
a) 
b) 

Hint (p. 53)



Announcements
  • Next quiz Tue, Mar 19 (7.1 Basic Trig Identities)
  • Next unit exam Thu, Mar 28 (55 minutes, in class)
  • Summary of Studying (SOS) must be completed to write unit exam
Today - 7.1 Sum/Difference Identities
Notes

Homework
7.1 #51-75 (skip #63)

Tomorrow - 7.2 Double-Angle and Half-Angle Identities
Pre-read 7.2

For more information
https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/v/proof--sin-a-b------cos-a--sin-b-----sin-a--cos-b
https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/v/proof--cos-a-b-----cos-a--cos-b---sin-a--sin-b
http://patrickjmt.com/sum-and-difference-identities-to-simplify-an-expression-example-1/
http://patrickjmt.com/sum-and-difference-identities-to-simplify-an-expression-example-2/
http://patrickjmt.com/sum-and-difference-identities-to-simplify-an-expression-example-3/
http://patrickjmt.com/sum-and-difference-identities-for-sine-and-cosine-more-examples-1/
http://patrickjmt.com/sum-and-difference-identities-for-sine-and-cosine-more-examples-2/
http://patrickjmt.com/sum-and-difference-identities-for-sine-and-cosine-more-examples-3/



Thursday, March 14, 2013

7.1 Pythagorean Identities


Comic of the Day 


Tip: This graph is always correct

Quiz (6.1, 6.3, 7.4 Solving Trig Equations)

Warm Up and Questions from the Homework
a) Factor:


b) Expand:

c) Add :


Announcements
  • Next quiz Thu, Mar 14 (6.1-6.3 Solving Trig Equations)
  • Next unit exam Thu, Mar 28 (55 minutes, in class)
  • Summary of Studying (SOS) must be completed to write unit exam
Today - 7.1 Pythagorean Identities
Notes
Intermission
http://www.youtube.com/watch?v=mIQQp7fF46A

Homework
7.1 #1-43

Tomorrow - 7.1 Sum/Difference Identities
Pre-read rest of 7.1

For more information

Wednesday, March 13, 2013

7.1 Basic Trig Identities

Comic of the Day 


Tip: Notation, notation, notation...

Warm Up and Questions from the Homework
a) Factor:

b) Rationalize the denominator:

c) Add without using your calculator:


Announcements
  • Next quiz Thu, Mar 14 (6.1-6.3 Solving Trig Equations)
  • Next unit exam Thu, Mar 28 (55 minutes, in class)
  • Summary of Studying (SOS) must be completed to write unit exam
Today - 7.1 Basic Trig Identities
Notes

Homework
7.1 #1-43

Tomorrow - 7.1 Sum/Difference Identities
Pre-read rest of 7.1

For more information

Monday, March 11, 2013

6.1, 6.3, 7.4 Review Solving Trig Equations


Comic of the Day 

Tip: See question 2 above.  Solving for angles could save your life.

Warm Up and Questions from the Homework
a) Solve for x if 0 = x² - 9
b) Using the unit circle, determine when:
 
Could we use a graph?  A calculator? A graphing calculator?

Announcements
  • Tutorial tomorrow (Tue, Mar 12, E201) is cancelled
  • Next quiz Thu, Mar 14 (6.1-6.3 Solving Trig Equations)
  • Next unit exam Thu, Mar 28 (55 minutes, in class)
  • Summary of Studying (SOS) must be completed to write unit exam
Today - 6.1, 6.3 Review Solving Trig Equations
Watch your notation with inverse trig functions:

Worksheet

Homework
6.1 #71-97 Remove #9-15
6.3 #99-105
Add 7.4 #1-31

Tomorrow - Continue 6.1, 6.3 Review Solving Trig Equations

For more information

Wednesday, March 6, 2013

6.6 More Transformations of Trig Functions

Comic of the Day 

Tip: For graphs, use http://geogebra.org/cms/ or http://www.wolframalpha.com/

Warm Up and Questions from the Homework
For the function 
a) Identify the amplitude, period, phase shift and vertical displacement
b) Identify the transformations from the graph of f(x)=cosx

Announcements
  • Next quiz Thu, Mar 7 (6.6 Graphs of Transformed Functions)
  • Next unit exam Mon, Mar 11 (55 minutes, in class)
  • Summary of Studying (SOS) must be completed to write unit exam
Today - 6.6 Graphs of Transformed Sine and Cosine Functions
Ferris Wheel Applet
http://www.geogebratube.org/student/m6162
Notes

Homework
6.6 #1-43, 83-84

Tomorrow - 6.6 Graphs of Transformed Sine and Cosine Functions
Practice 6.6

For more information

Tuesday, March 5, 2013

6.6 Graphs of Transformed Trig Functions


Comic of the Day 

Tip: Know your curves

Quiz Tue, Mar 5 (6.5 Unit Circle,Function Values,Graphing)

Warm Up and Questions from the Homework
1. Sketch the graphs of the f(x)=sinx and f(x)=cosx
2. Identify the transformations of the following:
a)
b)
c)
d)

Announcements
  • Next quiz Thu, Mar 7 (6.6 Graphs of Transformed Functions)
  • Next unit exam Mon, Mar 11 (55 minutes, in class)
  • Summary of Studying (SOS) must be completed to write unit exam
Today - 6.6 Graphs of Transformed Sine and Cosine Functions
Ferris Wheel Applet
http://www.geogebratube.org/student/m6162
Harmonic Waves in Mercury


Notes

Homework
6.6 #1-43

Tomorrow - 6.6 Graphs of Transformed Sine and Cosine Functions
Continue 6.6

For more information

Monday, March 4, 2013

6.5 Graphing sin/cos/tan

Comic of the Day 

Tip: Money can't buy math friends.

Warm Up and Questions from the Homework
Determine the following as an exact value and rounded to 3 decimals:
a) 
b) 
c) 


Announcements
  • Next quiz Tue, Mar 5 (6.5 Unit Circle,Function Values,Graphing)
  • Next unit exam Mon, Mar 11 (55 minutes, in class)
  • Summary of Studying (SOS) must be completed to write unit exam
Today - 6.5 Graphing sin/cos/tan
Notes

Homework
6.5 #43-49 (graphing)

Tomorrow - 6.6 Graphs of Transformed Sine and Cosine Functions
Pre-read 6.6

For more information
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/trig_graphs_tutorial/v/graph-of-the-sine-function
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/trig_graphs_tutorial/v/we-graph-of-cosine-function

Friday, March 1, 2013

6.5 Function Values from Unit Circle


Comic of the Day 
Tip: Good, you learned from yesterday.

Warm Up and Questions from the Homework
Use your unit circle to determine the following as an exact value:
a) 
b) 
c) 
d) 
e) 
f) 
Other than your unit circle, how else could you answer these?

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
Piston (http://www.youtube.com/watch?v=73txXT21aZU)
Ferris Wheel (http://geogebratube.org/student/m6162)
Rotating Police Light
Notes

Homework
6.5 #25-41 (calculator in RAD mode), #43-49 (graphing)

Tomorrow - 6.6 Graphs of Transformed Sine and Cosine Functions
Pre-read 6.6

For more information
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/trig_graphs_tutorial/v/graph-of-the-sine-function
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/trig_graphs_tutorial/v/we-graph-of-cosine-function