Trig+2015-16

=What you've all been waiting for!= Here's my work and answers for the Regents exam. I'll post the results as soon as I get them, probably no later than next Friday.

= Upcoming Schedule =

Extra help schedule:

Monday morning (7:45-8:15)

Monday after school (2:35-4:00)

Thursday (9:00-11:00)

Here's the link to all the review worksheets so you can check your answers. Bring questions on Monday/Thursday.



= = = = = = = Your priorities for the next 11 days: = = 2. Family = = 3. Other Regents = = 4. Friends = = 5. Religion = = 6. Eat = = 7. Shower = = 8. Sleep = = 9. Video Games & Internet = = 10. Preparing for the zombie apocalypse = = =
 * 1. Study for Trig **

=Thursday, June 2= Bring your textbooks tomorrow (Friday). They'll be officially collected on Monday but it's smart to bring them early. ==

= = =A Truthful Moment= At the risk of coming across as sappy, it is time for me to come clean to you all. You've had me teaching you two of your three years at Museum School and, while I know I'm well-liked, I also know that I leave many of you feeling uncomfortable, a feeling that no matter what you do, you can't reach my level of expectations. Today is the day I will drop the curtain for you to see the true "Wizard". The truth of it all, is that it's all very intentional and about 97% an act. When I was a kid growing up, I read a lot of books about athletes and coaches. One in particular that I read was by a very successful football coach who was talking about how he got the most out of his players. His philosophy was that he would always be knocking down his better players. He never wanted to be complacent. He never wanted them to feel that what they were doing was good enough, because he believed he could push them to a higher level of achievement. That message stuck with me for a long time. In college, I experienced it from a teacher who pushed me like I'd never felt before and led to what I consider my most successful time as a student. In high school, I was always able to coast. I could pass any class with minimal effort because I'm smart. In college I still got by with B's with minimal work while my peers would spend hours studying for exams and writing papers. But when I got to Professor Haddad, he flipped a switch, and I will always respect and appreciate him for it. Having experienced what a good teacher can do for their students, I have developed this mindset of wanting to push you all further than you've ever been pushed, to challenge you to reach the true limits of your potential. In doing so however, I recognize that it runs the risk of pushing your confidence too far down, to make you question your abilities. That is why this message is so important to me. It's time for me to take my hands off your proverbial shoulders and stop holding you all down. It's time to take the chains off your legs. It's time for Atlas to drop the sky, for Sisyphus to reach the top of the mountain. Simply stated, it's time for you all to hear the truth so that you can now fly free and break through that glass ceiling that I made you think was there.

You have been an amazing group of students to teach. Seeing the growth throughout the years, from the little 9th graders who wouldn't speak on the first day, to the young men and women who I enjoy coming to work with every day, YOU are the reason I come in every day. The paycheck is nice, but money truly doesn't buy happiness (though it does buy ice cream, which is close). You guys are more prepared for the upcoming Regents exams than any other group I've ever taught. Your ability to explain your thinking and how you discuss questions and help your peers are just small examples of how bright you all are. If I haven't said this before, I need to tell you now, I am so proud of you all for your hard work and dedication that you've given me from our first day in September to now. While this exam IS difficult, it is something that you're ready for. You know everything they're going to throw at you. It may look strange at first, but have faith in yourself like I have in each and every one of you. And if you don't have confidence in yourself with what's coming, listen to my good friend Chuck Norris:

Thank you for taking the time to read this long diatribe. I hope it hits home to some of you that I am fully supportive of you. I'm in your corner, and couldn't be more confident in the success that is coming. So when you sit down to that test tomorrow, remember the words of Dylan Thomas: = = Mr. Birnholz = = =Friday, May 27=

Complete the Fall exam sampler for Tuesday. Come with questions and be prepared to discuss "your" question, starting from where we left off. 

AND STUDY!!!  = = =Thursday, May 26= Complete the problems you were not assigned (skip #11). Be prepared to introduce your question to the class and to ask questions on any you still don't understand. = = Here's a video to help you with #2 and a link that explains #13.

= = =Tuesday, May 24= Complete Worksheet #8

Do the arc length worksheet. = = = = =Monday, May 23= Do #1-7 on Sequence/Series Here are the notes from Regents Prep on this topic.

= = Complete Worksheet #7

= = =Friday, May 19= Do the ODD problems on Binomial Expansion.

Complete Worksheet #6 = = = = =Thursday, May 18= TRY __#1-3__ on the Binomial Expansion worksheet.

Complete Worksheet #5 (skip #58) = = = = =Tuesday, May 17= Complete Worksheet #4 (skip #40 and #47)

Review my notes about binomial expansion. You are welcome to attempt the practice problems. == = = =Monday, May 16= Solve #1-2 for probability of "at least/most"

Complete Worksheet #3 (you won't be able to do #26 or #35 yet) = = = = =Friday, May 13= Solve the probability problems.

Complete Worksheet #2. = = = =

=Thursday, May 12= Complete Worksheet #1. You may skip #5. = = = = =Tuesday, May 10= Start studying Binomial Probability. = = = = =Monday, May 9= Watch this video on The Counting Principle to prepare for Tuesday's class. == = = =For Monday:= With the possibility of the superintendent visiting on Monday, we're supposed to show what we can really do. So here is the plan for Monday's class: The classes will be split into 6 groups. Each group will be assigned a trig graph and be given a large sheet of paper to create it on. You will NOT write the equation you are given, just draw the graph with the appropriate labels so that other groups can see the x and y values. Once all the groups are done, they will be posted around the room. The other groups will then go around and see if they can determine the equation your group was given. Once this is done, each group will present their graph to the class, sharing the equation and how their graph was developed. Be sure you all are participating significantly, both in the group work and in the discussions. = = = = =Friday, May 6= Short assignment. I'll be sending out some prep materials to study before Monday's class. = = = = =Thursday, May 5= 1) Find the equation of the graphs.

2) Graph the equation y = 4 tan 1/2x over the domain of -2pi to +2pi. = = = = =Tuesday, May 3= Complete the worksheet on trig graphs. Here is a link to some graph paper for the last questions. = = =Monday, May 2= Find the amplitude, frequency, and period of each trig graph. == = = =Update= I've gotten a few questions about the break assignment. Allow me to clarify. I know how the system works for the practice exams I assigned. Simply put, it lends itself to academic dishonesty. When you finish, it'll tell you what you got right and wrong and if you go back and change the wrong answers, it'll just show up as a 100%. And there's no signing in so if I asked for a printout of your results, it would be easy to give yourself a 100 and print out 20 copies of it for you and your friends. None of that is the point of this assignment.



The purpose of this assignment is self motivation. To put it bluntly, if you aren't the kind of person who is doing this assignment that has no grade attached, then I can say you're probably the kind of person that will not pass the Regents. lt is just an opportunity to practice exam problems to prepare for your Regents, and that in itself is valuable. A student who sits down and tries the problems honestly, submits for a grade, sees they got certain questions wrong, and then goes back to figure out what they got wrong, why it's wrong, and to try again...that is the kind of student who can pass this Regents.

So enjoy the rest of your vacation, it's been wonderful on my end, and think carefully about what kind of student you are here. = = = = =VACATION ASSIGNMENT (Friday, April 22)= I hope you guys have a good break. The assignment is to be preparing for the upcoming exam. You are to do the following: 1) Study on my study resources page. 2) Take at least one of the interactive Regents practice exams ==

= = =Thursday, April 21= Good morning everyone. Sorry but I can't make it in today. I have to play Doctor Dad for Evan. I want EVERYONE to work on their degree-radian conversions as we will need to understand radians to better graph trig functions. If you will be in class, read the notes (linked below) BEFORE class so that you are better prepared. If you are going on the field trip, you will be doing this assignment for homework, due Friday.

Notes (you can ignore the section "Decimal Degrees and DMS"

Worksheet = = I will see you all on Friday. Please be on your best behavior as I would expect nothing less from you.



= = =Tuesday, April 19= Watch this video about graphing trig functions = = = = =Monday, April 18= Review converting between radians and degrees. = = = = =Friday, April 15= Study for Monday's Mock Regents exam! = = = = =Thursday, April 14= Study for Friday's exam = = = = =Tuesday, April 12= Do #1, 5, 10, 16 = = = = =Monday, April 11= Complete #5, 9, 13, 20, 22, 24.

Trig applications quiz Friday.

MOCK REGENTS MONDAY! == = = =Friday, April 8= No HW. But if you want to prepare for Monday, here is the worksheet we will be working on. == = = =Tuesday, April 5= Law of Cosines worksheet

There is an English research vessel being named by online vote. I strongly suggest you check out the top suggestions and vote. == = =

=Monday, April 4= Video on Law of Cosines (for SAS) from today's lesson. @http://youtu.be/C7TKoFyWf0g

Please watch this video for tomorrow: @http://youtu.be/hjlqadDHpkg = = = = =Friday, April 1= Complete the Ambiguous Case worksheet. == = = =Thursday, March 31= Complete #1-7 on the worksheet from class. = = = = =Tuesday, March 22= Finish #13-21 for Thursday (will be collected).

Quiz: Trig Identities (One from WS, one of my own) Trig equation with solutions in radians = = = = =Monday, March 21= Do #4, 8, 9, 10, 11, 12 for Tuesday. We will work on the back (13-21) in class tomorrow. QUIZ THURSDAY!!! (Trig proofs and converting degrees-radians). = = = = =Friday, March 18= Complete #5, 6, 7 of the Trig Proofs worksheet.

=Thursday, March 17= No HW. Tests have been graded and posted to Pupil Path

=Tuesday, March 15= STUDY FOR YOUR TRIG/LOGARITHMS TEST!!!

= = = = =Monday, March 14= Due Tuesday: Complete the trig equations.

PI DAY!!! = =

=Thursday, March 10= If you would like to get a head start on our next lesson (trig equations using double angle identities), here is the worksheet I handed out to people who finished the quiz early today. = = = = =Tuesday, March 8= Complete the worksheet on simplifying Double Angle identities.

QUIZ THURSDAY ON TRIG EQUATIONS!!! (Not including double-angle unless it's a bonus) == = = =Monday, March 7= Check out some of these videos to see how the Double Angle identities are applied. = = = = =Friday, March 4= Finish the problems on the worksheet. ==

Here's a PDF version if you're having trouble viewing the other version I posted. = =

=Thursday, March 3= Do your best to complete the worksheet that was handed out in class today.

Here's a video that may help. = = = = =Tuesday, March 1= Complete the worksheet on Pythagorean Identities.

= = = = =Monday, February 29= Period 2, 3, 7: Finish the trig equations (w/reciprocals) worksheet.

Period 5: No HW.

== = = =Friday, February 26= Period 2, 3, 7: Do #10, 11

Period 5: Complete the trig equations worksheet.

(No throwback assignment this weekend) = = = = =Thursday, February 25= Complete the worksheet from class. SKIP #19 AND 21. = = =Tuesday, February 23= There seems to be some questions about these problems. Some basic guidance. EVERY function can become either sine or cosine. csc is 1/sin and sec is 1/cos, while tan = sin/cos and cot = cos/sin. For each of these problems, change any functions that aren't already sine or cosine into sin or cos and simplify the expressions. That's it. Hope that helps.

Complete #1-20 on the worksheet but skip #5, 6, 13, 14, 15. == = =

=Monday, February 22= Explore the 6 trig functions. Specifically the reciprocal functions (cotangent, secant, and cosecant). Also, be aware of the quotient identities. = = = = =Answer Check= Here's the answers I got for the first 8 problems. I did this in a barely lit room at 5:30 am on Tuesday so if there's a mistake, let me know. 1) 90, 270 2) 30, 90, 150, 270 3) 229, 311 4) 61, 141, 241, 321 5) 35, 145, 215, 325 6) 60, 300 7) 27, 207 8) 16, 164, 217, 323

Here's my work. It's minimal, but it's not even 6 am so... = = =Friday, February 12 (Winter Break)= 1) Finish the problems from today's scavenger hunt (if you were absent, you'll need to get them from a classmate). Video on solving trig equations. Notes from RegentsPrep.org

2) Throwback assignment: Solving Rational Equations (yes, I said "expressions" by accident on my text).

Steps: 1) Multiply all terms by the Lowest Common Denominator 2) Simplify each term (this should eliminate the fraction) 3) Solve the remaining equation as usual. 4) Check

Video: Khan Academy Notes from RegentsPrep.org

== = = =Thursday, February 11= Try #1, 3, 4, and 7. = =

=Tuesday, February 9= Trig Values by Quadrant: #4, 7, 10, 13-22 Unit Circles: #6-9 = = =Friday, February 5= Weekend HW: Solving Absolute Value Inequalities

Steps: 1) Isolate the absolute value. 2) Write two inequalities (without the absolute value). One is identical to the original, one is negating everything on the other side of the absolute value, INCLUDING THE INEQUALITY SYMBOL. 3) Solve each inequality. 4) Draw a number line and test your answers to see whether you have a CONjunction or DISjunction. 5) Write an algebraic solution as well. = = = = =Thursday, February 4= Watch this video to prepare for co-terminal angles. = = =Regents Week Assignment= During Regents week, you are to review the following Trigonometry topics from Algebra 1. There WILL be a quiz on them when you return on Tuesday, February 2nd.

RegentsPrep: Solving for a side RegentsPrep: Solving for an angle Khan: Finding trig ratios in a right triangle Khan: Missing Sides YayMath: Missing Angles (go to 17:45 for the angles part)



=Reminder= All grades are in. FRIDAY is the last day to hand me missing work! Check Pupil Path to make sure you're caught up! ==

=Friday, January 15= I will be out today. Here is the assignment you will be working on.

Here is an excellent video that describes what we did today (AND includes how to graph).

= = =Tuesday, January 12= Study for Tuesday's quiz: -Summation -Standard Deviation -Normal Distribution
 * Percentile (bonus)

= = = = =Monday, January 11= Use your FORMULA SHEET to answer #1-10.

= = =Friday, January 8= Complete #1-7 on the worksheet.



On Monday we will begin working on Normal Distribution = = =Thursday, January 7= Complete #1-9.

= = = = =Tuesday, January 5= Complete the summation worksheet. = =
 * Remember, you can go HERE if you need a graphing calculator.

=Monday, January 4= Complete the worksheet on variation.

STUDY THIS FOR TUESDAY! Here are the notes from RegentsPrep.org

Here is the video I showed today with the "GoPro: Best of 2015". Best to watch on a larger screen. Amazing pictures! = = =Friday, January 1=

Okay slackers, time to get back to work! For Monday, learn the difference between DIRECT and INVERSE variation.

YayMath Lesson (definitely watch) Regents Prep (good lesson/practice) Khan Academy series (practice is the star)

=Tuesday, December 22= EXTRA CREDIT!!! Complete the Equations of Circles worksheet below. Be sure to show all work.

Videos: Google Year in Review DJ Earworm United States of Pop Facebook Year in Review YouTube Rewind = = =Monday, December 21= Complete #4-6 from today's worksheet. Note the changes! They're on the handout here. = = =Friday, December 18= Complete the worksheet, graphing quadratic inequalities.

= = =Thursday, December 17= Please do #8 and 10 for tomorrow.

=Tuesday, December 15= Watch this video (yes, the whole thing) before Thursday's class. = = =Monday, December 14= No HW tonight. Setting up a small group assignment to complete in class tomorrow using word problems for quadratic inequalities. = = =Friday, December 11= Solve the quadratic inequalities and give your answers BOTH graphically and algebraically.

=Tuesday, December 8= HW: Use the roots to find the quadratic equation.

Project (due Thursday): 1) Find the discriminant and describe the nature of the roots of the equation you were given in class. 2) Solve the quadratic using __all possible methods__. If a method is not possible, explain why not. 3) Explain which method of solving is best for your problem and why.
 * Projects should be done neatly on standard sized computer paper and given color to stand out.*

= = =Monday, December 7= Describe the nature of the roots using the discriminant (#1-12). = = =Thursday, December 3= <span style="background-color: #ffffff; color: #282c31; font-family: remind-proxima-nova,'helvetica neue',arial,sans-serif; font-size: 15px;">Do #1-2 for HW. <span style="background-color: #ffffff; color: #282c31; font-family: remind-proxima-nova,'helvetica neue',arial,sans-serif; font-size: 15px;">Practice for Friday's quiz!

<span style="background-color: #ffffff; color: #282c31; font-family: remind-proxima-nova,'helvetica neue',arial,sans-serif; font-size: 15px;">Solve quadratics by: <span style="background-color: #ffffff; color: #282c31; font-family: remind-proxima-nova,'helvetica neue',arial,sans-serif; font-size: 15px;">Factoring <span style="background-color: #ffffff; color: #282c31; font-family: remind-proxima-nova,'helvetica neue',arial,sans-serif; font-size: 15px;">Quadratic Formula <span style="background-color: #ffffff; color: #282c31; font-family: remind-proxima-nova,'helvetica neue',arial,sans-serif; font-size: 15px;">Completing the Square = = =Tuesday, December 1= Solve the quadratic equations. = = = = =Monday, November 30= I love this guy's videos (YayMath on YouTube). This video will prep you for Tuesday's class. The story at the 6:30 mark alone makes it worth watching. = = =Friday, November 19= TRY #1-5.

Video: Dividing Complex Numbers = = =Thursday, November 18= Adding/Subtracting/Multiplying Complex Numbers#1-14

<span style="background-color: #ffffff; color: #333330; font-family: proxima-nova,'helvetica neue',arial,sans-serif; font-size: 15px;">HEADS UP! Friday's schedule has changed. Still a 1/2 day but now ALL classes are meeting. See the modified schedule below: ==

=Tuesday, November 17= Do #7-27 ==

=Monday, November 16= Worksheet #1: #13-20 Worksheet #2: #19-24 = = = = =Saturday, November 14= Quiz grades from Friday have been entered into Pupil Path.

Monday we will be working on Solving Radical Equations. = = =Thursday, November 5= <span style="background-color: #ffffff; color: #333330; font-family: proxima-nova,'helvetica neue',arial,sans-serif; font-size: 15px;">Yes guys. Quick quiz tomorrow to see what you learned/understood from this week's lessons. Hope all is well! = = =Update (11/1)= Hi everyone. Thanks for stopping by. Judging by all the e-mails I've gotten today, I realize I need to let you know that I am not returning for a while still. The specific return date is still undetermined. I look forward to seeing you all again soon, but it won't be tomorrow.

For those asking me questions about the HW, I don't even know what assignment you're on right now! If you send a pic, I'll happily try to answer questions, but if you just say "how do I do #15", I'm as in the dark as you are. I think the current topic I saw was dividing with radicals. If you have only a radical in the denominator, multiply the top and bottom by the radical to make it "whole". But if you have a "complex number" (a radical +/- a constant), you need to multiply the top and bottom by the __conjugate__ of that complex number. The conjugate is the same numbers but you change the sign in the middle. So if it's 3-√2, you'd multiply by 3+√2. The denominator would FOIL to a rational number, which is why we do it in the first place.

I'm sure that was about 95% gibberish to you, but just ask questions tomorrow!

=ANNOUNCEMENT= Hello everyone. Thank you for coming to read this as I asked. I will be out for an extended period of time. While I am out, I have arranged for a variety of topics to be introduced that I do not feel you need me for, that you will be able to learn/comprehend through video lessons and communication with peers. You __WILL__ be held responsible for this material in that I will not be going back over it upon my return. You will be expected to be prepared for an exam on the material upon my return. I will also expect to receive glowing reports about your behavior and efforts in the classroom. Below is the list of topics I have left for you, which include the videos and worksheets. I will be reachable via e-mail, though sporadically. I'm told the teacher replacing me while I am away has a strong math background, so give them your upmost attention. Best wishes to all of you.

Topics Simplifying radicals Video Worksheet

Radical operations Video Worksheet

Dividing radicals (with conjugates) Video Worksheet (#15-22)

Radical equations Video Worksheet #1 Worksheet #2

Simplifying complex numbers Video

Powers of i Video Worksheet #1 Worksheet #2

Adding/subtracting complex numbers Video Worksheet (#1-8)

Multiplying/dividing complex numbers Video Worksheet (#9-30) ==

=Tuesday, October 27= No HW, but I would recommend watching these videos on graphing logarithmic and exponential functions. Exponential Logarithmic = =

=Monday, October 26= QUIZ TUESDAY! -Log rules -Exponential and Logarithmic equations = = = = =Friday, October 23= Do #1-4 for Monday. = = Here's a video on the subject if you need it.

= = =Thursday, October 22= Complete the problems we started in class, #1-9. Be sure to show all work. = = = = =Tuesday, October 20= Try the following problems: #6, 11, 12, 19, 22 = = = = =Monday, October 19= Watch these videos to prepare for Tuesday's class.

Log on both sides.

Log on one side (a little tricky at first) = = = = =Friday, October 16= Complete #1-24 (#11, a radical = a fractional exponent)

== = = =Thursday, October 15= Study for a brief quiz Friday: -Converting between exponential and logarithmic form ("B.S.") -Evaluating/solving basic exponential/logarithmic equations

= = =Tuesday, October 13= TEXTBOOK!!! (I know, I'm surprised too) Pg. 450 (6-13, 53-61)

Here's some nice notes on making the conversions.

==

=Friday, October 9= Composition of functions: Worksheet #1-23 (skip 20, 21, AND 22). = = =Tuesday, October 5= Complete the assigned worksheet for next class. = = =Monday, October 4= Watch this video on composition of functions. == = = =Friday, October 2= Sorry guys. No jury duty for me (yet)! #2500 and they only called the first 600.
 * If you were absent, do worksheet #5*

For Monday, STUDY!!!

@http://www.regentsprep.org/regents/math/algtrig/atp5/OntoFunctions.htm = = =Tuesday, September 29= Read the 4 "lessons" to prepare for Thursday's class on functions.

= = =Monday, September 28= Quiz Tuesday! -GCF -DOTS -Trinomials (a = 1) -Trinomials (pocket method) -Factor by grouping -Polynomial Long Division

Here is the extra practice worksheet I gave out today. It's not homework, but is useful to make sure you know what you're doing.

= = =Friday, September 23= Complete #1-20 on the worksheet given in today's class.

Factoring quiz TUESDAY!!! = =

=Tuesday, September 22= Complete #11-18 for Friday. = = Watch this video on Factoring by Grouping



=Monday, September 21= Review my factoring notes for DOTS and trinomials (standard and with pocket method).

Try these problems (#1-10) to prepare for class. = =

=Friday, September 18= Complete the last 4 problems (page is titled "classwork"). = =

=Thursday, September 17= Try #1-4 using Polynomial Long Division. Be sure to show your work! You can check your answers at the bottom. = =

=Friday, September 11= Please watch this video to prepare for our next class. = =

=Welcome!= To be done:

1) Create a new gmail account with the following user name: (LASTNAME).(FIRSTNAME).(GRADUATIONYEAR)@gmail.com

For example: Birnholz.Nashua.1995@gmail.com

2) Go to Khan Academy and add me as a coach. Directions on how to do this are in the Khan Academy tab in the navigation bar to the left.

3) Go to Facebook and "like" my class page, "Math With Birnholz".

4) Send a text to the number 81010 or 631-354-4927 with the message "@nbir#" with the # being your period.

5) Download the graphing calculator app for your smartphone.

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