Comic of the Day
Warm Up and Questions from the Homework
a) For a hockey team with 18 skaters, how many ways could the five positions be filled (RW,C, LW,LD,RD)?
b) For a hockey team with 12 forwards and 6 defensemen, how many ways could 3 forwards (RW,C,LW) and 2 defensemen (LD,RD) be picked?
Announcements
- Next quiz Thu, Apr 11 (11.5-11.6 Permutations and Combinations)
- Next unit exam Thu, Apr 18 (55 minutes, in class)
- Summary of Studying (SOS) must be completed to write unit exam
- Final Exam - Thu, Apr 25, 8:15-10:10, E102 (regular classroom)
Today - 11.5/11.6 Permutations and Combinations
Permutation Generator
http://users.telenet.be/vdmoortel/dirk/Maths/permutations.html
Playing Card Dealer
http://www.random.org/playing-cards/
Notes
Intermission (Combinations of Rubik's Cube)
http://www.numberphile.com/videos/rubiks43.html
Homework
11.5 #15-41
11.6 #1-31, 37-43
Tomorrow - More Applications of Permutations and Combinations
Will go through worksheets on Moodle (print if you want, or I will bring up on projector)
For more information
Poker hands
Comic of the Day
Tip: For passwords, if it's not long, it's wrong
Warm Up and Questions from the Homework
Review quiz
Announcements
- Next quiz Tue, Apr 9 (11.5 Permutations)
- Next unit exam Thu, Apr 18 (55 minutes, in class)
- Summary of Studying (SOS) must be completed to write unit exam
- Final Exam - Thu, Apr 25, 8:15-10:10, E102 (regular classroom)
Today - 11.5 Fundamental Counting Principle, Factorial Notation
Mathematicians of Catan
a) When rolling two dice, what are all the possibilities?
b) When picking two cards from a five-card hand, what are all the possibilities?
Notes
Homework
11.5 #5-13
Tomorrow - 11.5 Permutations
Pre-read rest of 11.5
For more information
Comic of the Day
The police confiscated the following items:
Student Feedback on Instruction (SFI)
Warm Up and Questions from the Homework
a) Graph the following complex number, and convert to trigonometric form, r(cosΘ+isinΘ), as an exact value
b) Graph the following complex number, and convert to standard form, a+bi, as an exact value
Announcements
- Next quiz Thu, Apr 4 (3.1, 8.3-8.4 Complex Numbers, Polar or Trigonometric Form)
- Next unit exam Thu, Apr 18 (55 minutes, in class)
- Summary of Studying (SOS) must be completed to write unit exam
- Final Exam - Thu, Apr 25, 8:15-10:10, E102 (regular classroom)
Today - 8.4 Polar Coordinates
The following excerpt from the EL-531 calculator manual may or may not be useful
Notes
Polar Boat Game
http://www.geogebratube.org/student/m21364
Intermission - Imagine
http://www.youtube.com/watch?v=DCX3ZNDZAwY
Homework
8.3 #1-11 add #13-31, 33-43
8.4 #1-37
Tomorrow - Review 3.1, 8.3, 8.4, Quiz
Practice quiz or homework review, then real quiz
For more information
Comic of the Day
The Beauty of Roots
The above graphic shows all of the complex roots of all polynomials with degree 24 and coefficients of +1 or -1. 
The circle has radius 1, and is centred at (0,0). Isn't math beautiful?
Warm Up and Questions from the Homework
a) Simplify
b) Simplify
Announcements
- Student Feedback on Instruction (SFI) on Wednesday
- Next quiz Thu, Apr 4 (3.1, 8.3-8.4 Complex Numbers, Polar or Trigonometric Form)
- Next unit exam Thu, Apr 18 (55 minutes, in class)
- Summary of Studying (SOS) must be completed to write unit exam
Today - 8.3 Graphing Complex Numbers, Trigonometric Form
Notes
Homework
8.3 #1-11, 33-43
Tomorrow - 8.4 Polar Coordinates
Preread 8.4
For more information
Comic of the Day
Tip: Imagine how much funnier this joke will be once you learn about imaginary numbers.
Review Unit 4 Exam (class average 72%)
Warm Up and Questions from the Homework
a) Multiply 2x - 3y by its conjugate
b) Simplify
Announcements
- Next quiz Thu, Apr 4 (3.1, 8.3-8.4 Complex Numbers, Polar or Trigonometric Form)
- Next unit exam Thu, Apr 18 (55 minutes, in class)
- Summary of Studying (SOS) must be completed to write unit exam
Today - 3.1 Operations with Complex Numbers
a) Solve
b) Graph
Notes
Homework
3.1 #1-87
Tomorrow - 8.3 Graphing Complex Numbers, Trigonometric Form
Preread 8.3
For more information
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
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
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
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
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
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
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
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
