Monday, April 15, 2013

11.7 Binomial Theorem Continued

Comic of the Day


Warm Up and Questions from the Homework
Expand the following, but do not collect like terms or rearrange the letters:
e.g. 
a)
b) 


Announcements
  • Next quiz Tue, Apr 16 (11.7 Binomial Theorem)
  • 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 - 11.7 Binomial Theorem
Notes

Homework
11.7 #1-29

Tomorrow - Review and Quiz


For more information
http://patrickjmt.com/the-binomial-theorem-ex-1/
http://patrickjmt.com/the-binomial-theorem-ex-2/
https://www.khanacademy.org/math/trigonometry/polynomial_and_rational/binomial_theorem/v/binomial-theorem--part-1
https://www.khanacademy.org/math/trigonometry/polynomial_and_rational/binomial_theorem/v/binomial-theorem--part-2
https://www.khanacademy.org/math/trigonometry/polynomial_and_rational/binomial_theorem/v/binomial-theorem--part-3

Friday, April 12, 2013

11.7 Binomial Theorem


Comic of the Day


Warm Up and Questions from the Homework
How many 7-character licence plates could have only Is and 1s?

Announcements
  • Next quiz Tue, Apr 16 (11.7 Binomial Theorem)
  • 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 - 11.7 Binomial Theorem
Plinko
http://www.youtube.com/watch?v=oYmXRbkM8tw
Notes

Homework
11.7 #1-29

Tomorrow - Review


For more information
http://patrickjmt.com/the-binomial-theorem-ex-1/
http://patrickjmt.com/the-binomial-theorem-ex-2/
https://www.khanacademy.org/math/trigonometry/polynomial_and_rational/binomial_theorem/v/binomial-theorem--part-1
https://www.khanacademy.org/math/trigonometry/polynomial_and_rational/binomial_theorem/v/binomial-theorem--part-2
https://www.khanacademy.org/math/trigonometry/polynomial_and_rational/binomial_theorem/v/binomial-theorem--part-3

Tuesday, April 9, 2013

11.5/11.6 Permutations and Combinations

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
http://www.youtube.com/watch?v=RpXspMZVoSI
https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations_and_combinations/v/permutations
https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations_and_combinations/e/permutations_1
http://patrickjmt.com/permutations-counting-using-permutations/
https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations_and_combinations/v/combinations
https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations_and_combinations/e/combinations_1
https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations_and_combinations/e/permutations_and_combinations_2
http://patrickjmt.com/combinations-counting-using-combinations/

Friday, April 5, 2013

11.5 Fundamental Counting Principle, Factorial Notation

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

Wednesday, April 3, 2013

8.4 Graphing and Converting Polar Coordinates


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

Tuesday, April 2, 2013

8.3 Graphing Complex Numbers, Trigonometric Form

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

Monday, April 1, 2013

3.1 Operations with Complex Numbers


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
https://www.khanacademy.org/math/algebra/complex-numbers/complex_numbers/v/complex-numbers
https://www.khanacademy.org/math/algebra/complex-numbers/complex_numbers/v/complex-numbers--part-1
https://www.khanacademy.org/math/algebra/complex-numbers/complex_numbers/v/complex-numbers--part-2
http://patrickjmt.com/adding-and-subtracting-complex-imaginary-numbers/
http://patrickjmt.com/rewriting-radicals-using-complex-numbers/
http://patrickjmt.com/rewriting-powers-of-i-ex-1/
http://patrickjmt.com/rewriting-powers-of-i-ex-2/
http://patrickjmt.com/complex-numbers-graphing-adding-subtracting/
http://patrickjmt.com/complex-numbers-multiplying-and-dividing/
http://patrickjmt.com/complex-numbers-multiplying-ex-1/
http://patrickjmt.com/complex-numbers-multiplying-ex-2/
http://patrickjmt.com/complex-numbers-dividing-ex-1/
http://patrickjmt.com/complex-numbers-dividing-ex-2/
http://patrickjmt.com/complex-numbers-dividing-ex-3/