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
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
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
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
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
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
