Course+IV

=**WELCOME to Integrated Math Course IV** = = = =**January 3, 2012**= =**Todays Objective(s)"**= = = =**Todays Assignment(s): (What is not finished becomes homework)**=
 * **Review Tigonometry from last semester**
 * **Explore angle measure that is written in Degrees, Minutes, Seconds AKA DMS**
 * **In your TRIG Packet...DO p. 2 #2-40 even and p. 3 #4-40 M4 (Multiples of 4)**

= = = **January 4, 2012** = = **Todays Objective(s):** =
 * **Review word problems involving right triangle trigonometry**
 * **Explore the meaning of the angle of elivation and the angle of depression**

= **Todays Assignment(s): (What is not finished becomes homework)** =
 * **In your groups, go to the following URL: [|WORD PROBLEM INVESTIGATION] Read and DO the examples at the bottom of the page**
 * ** SOH CAH TOA Worksheet **

= **January 5, 2012** =

= **Todays Objective(s):** =


 * **Review setting up and solving problems that involve right triangle trigonometry**
 * **Continue to discuss rounding angles that are written in DMS (Think of time)**

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * **Page 5 #18-40 even ( rounding in DMS)**
 * **SOH CAH TOA Worksheet in proparation for our quiz tomorrow**
 * **STUDY for your quiz. Notes will NOT be allowed. Study EVERYTHING we've done this week including DMS!!!**

= = = **January 6, 2012** =

= **Todays Objective(s):** =


 * **Apply everything you've learned this week to be successful on your quiz today**
 * **Review/Revisit your 0, 30, 45, 60, 90 trig chart**

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * **Take the QUIZ**
 * **DO: The three 'challenging problems' that are at the end of last night's homework. Please note: CHALLENGING PROBLEMS are NOT OPTIONAL!**

= **January 9, 2012** = = **Todays Objective(s):** =
 * **Review/Revisit your 0, 30, 45, 60, 90 trig chart**
 * **Review/Revisit Finding Reference Angles**
 * **Apply the first two objectives to finding the EXACT value of trig functions**

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * **Pass back the Quiz....you have until 1/13 to do corrections.**
 * **Classwork: we will be working on p. 6 for today**
 * **Homework: p. 6 #49-54 all, 56-66 even**

= **January 10, 2012** =

= **Todays Objective(s):** =


 * **Use your knowledge of the 0, 30, 45, 60, 90 trig chart and reference angles to find the exact value of trig functions**
 * **Apply what you know about reference angles to finding an angle in another quadrant.**

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * **p. 6 #49-54, 56-66, 67-71**

= **January 11, 2012** =

= **Todays Objective(s):** =


 * **Review/Revisit converting radian measure to degrees**
 * **Review/Revisit converting degree measure to radian measure**
 * **Discover the relationship between a central angle (in a circle), its intercepted arc and the raduis of a circle.**

**WEB LINKS for Today's lesson:** **[|Arc Length and Radian Measure]**

= **Todays Assignment(s): (What is not finished becomes homework)** =
 * **p. 7 #2-30 even, 32-38 even, 39-44**

= **January 12, 2012** = = **Todays Objective(s):** = = **Todays Assignment(s): (What is not finished becomes homework)** =
 * **Use the skills you learned this week to finding the exact value of trigonometric functions regardless of if they are written using degree or radian measure.**


 * **p. 8 #45-48 (Warm up) p. 9 #3-30 M3, 31-36, 39, 40, 41, 45, 46, 47**

= **January 13, 2012** = = **Todays Objective(s):** = = **Todays Assignment(s): (What is not finished becomes homework)** =
 * **Apply everything you've learned this week to be successful on your quiz today**
 * **Take the QUIZ**
 * **WRITE: Your math Autobiography. Here is the link to the assignment: [[file:Write YOUR math autobiography.docx]]**
 * **This writing assignment is due: 1/17. If you are having trouble printing, email your paper to me: dbarnes3@wcpss.net**

= **January 17, 2012** =

= **Todays Objective(s):** =


 * **Review/Revisit the reciprocal functions ( sec x, csc x, cot x )**
 * **Review/Revisit what function (s) are positive in which quadrants**

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * **p. 11-12 #1-12, 13, 14-30 even, 32-43**
 * **Time permitting....#44-55**

= **January 18, 2012** = = **Todays Objective(s):** =


 * **Review/Revisit the reciprocal functions ( sec x, csc x, cot x )**
 * **Review/Revisit what function (s) are positive in which quadrants**

= **Todays Assignment(s): (What is not finished becomes homework)** =
 * **p. 11-12 #44 (Warm-up) and #15-31 odd, 48-55 all**

= **January 19, 2012** =

= **Todays Objective(s):** =
 * **Derrive the Pythagorean Identities**
 * **Apply your problem solving skills by using the pythagorean identities**


 * Worksheets from todays class: **

 = **Todays Assignment(s): (What is not finished becomes homework)** =
 * ** p. 13 #1-12, 13-24 **

= **January 20, 2012** =

= **Todays Objective(s):** =


 * **Apply everything you've learned this week to be successful on your quiz today**

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * **Take the QUIZ**
 * **DO: 13-14 #25-40**

= **January 23, 2012** = = **Todays Objective(s):** =
 * **Students will combine their learning from the past few weeks to solve trig problems**

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * **Pass back the Quiz....you have until 1/30 to do corrections.**
 * **P. 15 #1-10**

= **January 24, 2012** =

= **Todays Objective(s):** =


 * **Determine the function of a positive acute angle (revisit)**
 * **Discover cofunctions and how they apply to topics they have already learned**

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * **p. 16 #16, 17 (Warm up), p. 17 #1-7**

= **January 25, 2012** = = **Todays Objective(s):** =
 * == **Apply cofunctions to trigonometric equations** ==

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * **p. 17 #48-50 (Warm up), p. 17 #28-47**

= **January 26, 2012** =

= **Todays Objective(s):** =


 * ** Students will combine their learning from the past few weeks to solve trig problems **
 * ** Students will apply what they have learned this week to complete a weekly quiz review **

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * **p. 17 #51-53 (Warm up) Weekly quiz review packet [[file:Review after Cofunctions.docx]]**

= **January 27, 2012** =

= **Todays Objective(s):** =


 * **Apply everything you've learned this week to be successful on your quiz today**

= **Todays Assignment(s): (What is not finished becomes homework)** = = = = **Websites to help you with your homework:** = = [|Graphing Trig Functions -Regents Prep] = = =


 * **Take the QUIZ. Do: #1-6 Graphing Trig Functions worksheet**

= **January 30, 2012** =

= **Todays Objective(s):** =
 * ==** Apply your knowledge of reference angles to graphing trigonometric functions **==
 * ** Discover how the Amplitude and Frequency affect the graphs of sine and cosine. **

Weblinks to today's lesson on Graphing Trig. Functions:
[|Graphing Sine -You Tube] = **Todays Assignment(s): (What is not finished becomes homework)** =


 * **Pass out the NEW Packet on Trigonometric Graphs**
 * **p. 1 #1-3 (Top) (Warm up), p. 1 Finish the page, p. 2 #1-6 (Top), #1-8 (Bottom)**

= **January 31, 2012** = = **Todays Objective(s):** =
 * ** Students will discover how to solve trigonometric equations by graphing **

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * **p. 3 #1-11**

= **February 1, 2012** =

= **Todays Objective(s):** =


 * **Apply what you know about graphing the sine and cosine curves to graphing the tangent curve**
 * **Compare the features of a tangent graph to the graphs of sine and cosine**

= **Todays Assignment(s): (What is not finished becomes homework)** =

= **Websites to help you with your homework:** = = [|Graphing Trig Functions -Regents Prep] =


 * **P. 4 #1-7 at the top of the page.**
 * **Graph: y = -tan x and y = 2 tan 1/2 x on the same grid from -180 to 180. Describe the similarities and differences between the graphs. For how many values of x is -tan x = 2 tan 1/2 x**

= February 2, 2012 =

= **Todays Objective(s):** =


 * == **Apply what you learned this week and throughout the previous weeks to completing the weekly quiz review** ==

**Todays Assignment(s): (What is not finished becomes homework)**

 * **Weekly Quiz Review**

= **February 3, 2012** = = **Todays Objective(s):** =
 * ** Students will apply what they've learned this week (and in past weeks) to being successful on today's quiz **
 * ** Students will revisit reciprocal functions, apply what they have learned about graphing basic trigonometric graphs produce graphs of the reciprocal functions (for homework) **

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * **p. 4 #2-9. I expect ALL problems to be completed for Monday's discussion!**

= **February 6, 2012** = = **Todays Objective(s):** = = **Websites to help you with your homework:** = = [|Inverse Trig Functions -You Tube] = = [|Inverse Trig Functions -The Math Page] = = [|Inverse Trig Functions -IntMath.com] = = = = **Todays Assignment(s): (What is not finished becomes homework)** =
 * **Apply what you know about graphing the sine and cosine curves to graphing the INVERSE trig finctions: Arcsin x, Arccos x, Arctan x**
 * **Discover that although the INVERSE trig functions are a new concept to you, you have been using them for the past few years :o**
 * **P. 4 #10-12 (Warm up) p. 5 #14-20 even, 34-38**

= February 7, 2012 =

= **Todays Objective(s):** =
 * ====To continue the discussion on inverse functions. Again, you will realize that in order to determine the answer to these problems, you need to recall and apply knowledge you already know. (You will NOT use your calculators)====

**Todays Assignment(s): (What is not finished becomes homework)**

 * **p. 6 #39-42 (Warm-up) p. 7 #1-33 odd**

= **February 8, 2012** =

= **Todays Objective(s):** =


 * ** To finish the discussion on inverse functions **
 * ** Recall operations with polynomial expressions and apply those rules to simplifying trigonometric expressions **

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * **Pass out the new packet "Trigonometric Identities". DO: pp. 2-3 #1-33**

= **February 9, 2012** =

= **Todays Objective(s):** =


 * **Apply the skills you've learned this week to completing the weekly review**
 * **Apply what you know about operations with polynomials and trigonometric functions to completing your very FIRST trigonometric PROOF**

[[file:Weekly Quiz Review Inverse Trig Functions.docx]]
= **Todays Assignment(s): (What is not finished becomes homework)** =


 * **P. 3 #34, 35 (Warm-up) Weekly Review**

= February 10, 2012 =

= **Todays Objective(s):** =


 * == **Apply what you learned this week and throughout the previous weeks to completing the weekly quiz** ==

**Todays Assignment(s): (What is not finished becomes homework)**

 * **Take home Quiz. Due: 2/13 NO EXCEPTIONS!! Since this is a take home quiz...quiz corrections are NOT an option.**
 * **Read p. 4, DO: p. 5 #1-4, 15 (we did #1 in class on 2/8)**

= **February 13, 2012** =

= **Todays Objective(s):** =
 * ** Discover the joy of proving trigonometric identities **

= **Todays Assignment(s): (What is not finished becomes homework)** =
 * **DO: p. 5 #6-24 even ...we will do 5-23 odd in class.**

= **February 14, 2012** =

= **Todays Objective(s):** =


 * **Students will continue to enhance their skills in proving trigonometric identities**

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * **P. 5 #26-36 even, 37, 38**

= February 15, 2012 =

= **Todays Objective(s):** =


 * == **Apply what you know about quadrants, reference angles, and finding the EXACT value to finding the Sine and Cosine of the sum/difference of TWO angle measures. (Formulas are written on your calendar)** ==

**Todays Assignment(s): (What is not finished becomes homework)**

 * **DO: p. 6 #1-6, p. 7 #1-5, p. 9 #1-6**

= **February 16, 2012** =

= **Todays Objective(s):** =
 * ** Apply the knowledge you've gained this week to completing the weekly review **

**Todays Assignment(s): (What is not finished becomes homework)**

 * **Weekly Review**

= **February 17, 2012 (Early Release)** =

= **Todays Objective(s):** =


 * **Students will apply what they have learned this week and in weeks past to being successful on today's quiz**

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * **QUIZ....since we ran out of time AND it is early release AND you have Monday off, you may take this quiz home to complete it.**

= February 21, 2012 =

= **Todays Objective(s):** =


 * **Discover the Tangent of the sum and difference of two angle measures**

**Todays Assignment(s): (What is not finished becomes homework)**

 * **DO: p. 6 #16-18 (Warm up), p. 10 #1-18**

= **February 22, 2012** =

= **Todays Objective(s):** =
 * ** Apply the knowledge you've gained throughout this semester to Double-Angle Formulas **

**Todays Assignment(s): (What is not finished becomes homework)**

 * **p. 10 #20-22 (Warm-up), DO: p. 11 #1-18**

= **February 23, 2012** =

= **Todays Objective(s):** =


 * **Students will apply what they have learned throughout this semester to Half-Angle formulas**

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * **p. 11 #19-22 (Warm-up), p. 13 #1-3, 4-16 even** Please note, this assignment has been modified from your calendar.

= February 24, 2012 =

= **Todays Objective(s):** =


 * **Finish the discussion on Half Angle Formulas**
 * **Apply your past knowledge and your new of sum and difference, double angle and half angle formulas to trigonometric proofs**

**Todays Assignment(s): (What is not finished becomes homework)**

 * **DO: p. 13 #18 (Warm-up) DO: p. 14 #22-27, p. 16 #1-8**

= **February 27, 2012** =

= **Todays Objective(s):** =
 * ** Finish the discussion on half angle problems and trigonometric proofs **

**Todays Assignment(s): (What is not finished becomes homework)**

 * **DO: p. 14 #27, p. 16 #16-26 (Choose any 4)**

= **February 28, 2012** =

= **Todays Objective(s):** =


 * **Apply their knowledge of solving first degree equations and finding angle measurements to solving tfrst degree trigonometric equations**

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * **Read pp. 1-4, DO: p. 5 #3-30 M3**

= February 29, 2012 =

= **Todays Objective(s):** =
 * **Apply past knowledge to solving second degree trigonometric equations**

**Todays Assignment(s): (What is not finished becomes homework)**

 * **p. 5 #31-34 (Warm-up) DO: pp. 11-12 #5, 6, 8, 20, 23, 25, 26, 31, 38, 39**

= **March 1, 2012** =

= **Todays Objective(s):** =
 * ** Apply past knowledge to solving second degree trigonometric equations involving two functions **

**Todays Assignment(s): (What is not finished becomes homework)**

 * **p. 11 #15-17 (warm-up) DO: p. 11 #11-12 #4, 7, 21, 27, 34, 43, 49, 51**

= **March 2, 2012** =

= **Todays Objective(s):** =


 * **Apply what you've learned this week and in past weeks to successfully completing your graded assignment.**

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * **DO: Graded assignment. This was given to you on Wednesday and is due on March 12, 2012. NO Exceptions!**

= March 12, 2012 =

= **Todays Objective(s):** =
 * **Apply what you know about Pythagorean identities, Reciprocal Identities and/or double angle formulas to trigonometric equations**
 * **Solve trigonometric equations involving multiple functions**

**Todays Assignment(s): (What is not finished becomes homework)**

 * **DO: p. 16 #2-10 even, 14, 16**

= **March 13, 2012** =

= **Todays Objective(s):** =


 * **Apply what you know about Pythagorean identities, Reciprocal Identities and/or double angle formulas to trigonometric equations**
 * **Solve trigonometric equations involving multiple functions**

**Todays Assignment(s): (What is not finished becomes homework)**

 * **p. 16 #38, 39 (Warm-up) p. 16 #12, 14, 20-30 even**

= **March 14, 2012** (PI DAY!!!!!!!!) =

= **Todays Objective(s):** =


 * **Celebrate PI Day!!!!!**
 * **Learn the Law of Cosines. Apply the law of cosines to ANY triangle to determine the measure of an unknown side or angle.**

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * DO: p. 4 #1-8 in the "Law of Cosines packet

= March 15, 2012 =

= **Todays Objective(s):** =
 * **Apply the law of cosines to determine the missing side or angle of a given triangle**

**Todays Assignment(s): (What is not finished becomes homework)**

 * ** DO: p. 5 #13, 14 (Warm up), pp. 6-7 #1-12 **

= **March 16, 2012** =

= **Todays Objective(s):** =


 * **Apply the Law of cosines to word problems**

**Todays Assignment(s): (What is not finished becomes homework)**

 * **pp. 9-10 #1-9**

= **March 21, 2012** =

= **Todays Objective(s):** =


 * **Learn about the Law of Sines and how it is used to determine a side or an angle of a triangle.**

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * ** DO: p. 5 #6-18 even, p. 6 #25, 26 **

= March 22, 2012 =

= **Todays Objective(s):** =
 * **Apply the Law of Sines to the Ambiguous Case.**
 * **To learn another way of finding the Area of a triangle using two adjacent sindes and their included angle.**

**Todays Assignment(s): (What is not finished becomes homework)**

 * ** DO: The Law of Sines Worksheet #2-10 even, 22-30 even. **

= **March 23, 2012** =

= **Todays Objective(s):** =


 * **Apply the Law of Sines and the Law of Cosines to Multiple Step problems**

**Todays Assignment(s): (What is not finished becomes homework)**

 * **Study for COMPASS retake**

= **March 26, 2012** =

= **Todays Objective(s):** =


 * **Apply the Law of Sines and the Law of Cosines to Multiple Step Problems**

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * ** DO: pp. 11-12 #4-6 **

= March 27, 2012 =

= **Todays Objective(s):** =
 * **Apply** **the Law of Sines and the Law of Cosines to Multiple Step Problems**

**Todays Assignment(s): (What is not finished becomes homework)**

 * ** DO: pp. 11-13 #2, 3, 7, 8, 9, 11-14 **

= **March 28, 2012** =

= **Todays Objective(s):** =


 * **Apply the Law of Sines and the Law of Cosines to FORCES problems**
 * **Learn how to 'set up' a FORCE problem**

HELPFUL WEBSITES:
[|Example Problem]

**Todays Assignment(s): (What is not finished becomes homework)**

 * **FORCE Homework #1-10**

= **March 29, 2012** =

= **Todays Objective(s):** =


 * **Review The Law of Sines, The Law of Cosines, Area of a Triangle, Ambiguous Case and Forces in preparation for our weekly quiz tomorrow.**

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * ** DO: The selected problems on the review packet that was passed out in class. **

= March 30, 2012 =

= **Todays Objective(s):** =
 * **Apply** **what you've learned this week to successfully complete the weekly quiz**

**Todays Assignment(s): (What is not finished becomes homework)**

 * ** NO HOMEWORK!!! **

= **April 2, 2012** =

= **Todays Objective(s):** =


 * **To tie many trigonometric topics together by using and learning the Unit Circle.**

**Todays Assignment(s): (What is not finished becomes homework)**

 * **Do the Review assignment on Trig Applications**

= **April 3, 2012** =

= **Todays Objective(s):** =


 * **Represent vectors and directed line segments with both direction and magnitude**
 * **Learn how to draw vectors using a ruler and a protractor.**

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * ** DO: pp. 104-105 #1-3 in your TEXTBOOK! **

= April 4, 2012 =

= **Todays Objective(s):** =
 * **Continue the discussion on creating vector line segments by using measurement**

**Todays Assignment(s): (What is not finished becomes homework)**

 * ** p. 108 STM, Begin Investigation 2 p. 109 #1-3 **

= **April 5, 2012 NO SCHOOL -Teacher Work Day** =

= **Todays Objective(s):** =


 * **To**

**Todays Assignment(s): (What is not finished becomes homework)**

 * **Do**

= **April 6, 2012** -NO SCHOOL Good Friday =

= **Todays Objective(s):** =


 * **Re**

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * ** DO: **

= April 9, 2012 =

= **Todays Objective(s):** =
 * **To continue the dicussion on vectors and motion**

**Todays Assignment(s): (What is not finished becomes homework)**

 * ** p. 110 #4 **

= **April 10, 2012** =

= **Todays Objective(s):** =


 * **To** discover that all vectors have a vertical and horizontal component
 * Apply right triangle trig to find a general equation for vertical and horizintal components

**Todays Assignment(s): (What is not finished becomes homework)**

 * **Do: p. 111 #5, 6, STM p. 112**

= **April 11, 2012** =

= **Todays Objective(s):** =


 * **Apply your knowledge from Investigations 1 and 2 to being successful on today's MIQ**

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * ** DO: pp. 113-114 #1-3 **

= April 12, 2012 =

= **Todays Objective(s):** =
 * **Finish the MIQ**

**Todays Assignment(s): (What is not finished becomes homework)**

 * ** NO Homework **

= **April 13, 2012** =

= **Todays Objective(s):** =


 * **To** discover vector addition/combining forces

**Todays Assignment(s): (What is not finished becomes homework)**

 * **Do: pp. 114-115 #4-6**

= **April 16, 2012** =

= **Todays Objective(s):** =


 * **Discover how to use component vectors when finding the magnitude of any vector or vector addition.**

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * ** DO: STM p. 117, CYU p. 116, p. 120 #7 **

= April 17, 2012 =

= **Todays Objective(s):** =
 * **Apply what you know about vertical and horizontal component vectors to today's MIQ**

**Todays Assignment(s): (What is not finished becomes homework)**

 * ** NO Homework **

= **April 18, 2012** =

= **Todays Objective(s):** =


 * ** To Review for your quiz tomorrow **

**Todays Assignment(s): (What is not finished becomes homework)**

 * **Do The Quiz Review**

= **April 19, 2012** =

= **Todays Objective(s):** =


 * **To review for your quiz**

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * ** STUDY for your quiz **

= April 20, 2012 =

= **Todays Objective(s):** =
 * **Apply what you know about vectors and motion to your Unit 2, Lesson 1 quiz today**

**Todays Assignment(s): (What is not finished becomes homework)**

 * ** p. 157 TATS **

= **April 23, 2012** =

= **Todays Objective(s):** =


 * **To finish your quiz**

**Todays Assignment(s): (What is not finished becomes homework)**

 * **NO HOMEWORK!**

= **April 24, 2012** =

= **Todays Objective(s):** =


 * **To discover parametric equations and apply it to vectors and motion.**
 * **To connect parametric equations with component vectors**

= **Todays Assignment(s): (What is not finished becomes homework)** =


 * ** DO: p. 141 #6-8 **

= April 25, 2012 =

= **Todays Objective(s):** =
 * **To discover how to construct parametric equations from a parabolic motion**
 * **To introduce the IM 4 Final Project and select our groups**

**Today's Assignment(s): (What is not finished becomes homework)**

 * ** DO: The baseball experiment and p. 159 #4, 5 **