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)
Tomorrow - More Applications of Permutations and Combinations Will go through worksheets on Moodle (print if you want, or I will bring up on projector)
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
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
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
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
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
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
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
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
