“Every new beginning comes from some other beginning’s end.”

Hey everyone! I hope you’re having an amazing end of the school year! I absolutely miss doing Precalc with you all each day! Being a dad is amazing—I think I’m starting to figure this stuff out; however, it’s been a tough time for me to be out, especially with all the attention on our school. I also wish I could be there for all the fun end-of-year activities and all the nostalgia; seniors--enjoy every second! No matter how your high school experience has been these are the last days you’ll walk the halls of EHHS--take a moment to soak it all in and appreciate how much you've grown over the past four years! End your career on a positive note--ace your exams, stay positive (and focused), and get super excited about the next chapter of your life! Oh, and I hope prom was amazing!

I know you're working with some tough stuff in math--don't quit! Keep working hard! Stay focused for this last week of class, prepare yourself for your exam, and put forth your best effort!

Everyone--please feel free to email or Remind me if you need anything or have any questions!

Oh, and here are some pics of Lincoln Michael Carofano!

NO HOMEWORK!

I'll send out a Remind! later letting you know this, but no direct homework tonight! Anything you saw on the test that was confusing you should try out tonight, or ask me for examples. We'll be finishing up the Tests tomorrow and then start on the review. Let me know (send a remind!) for extra problems or if you need help.

PREP FOR TEST!

Hey y'all! Here are some problems (extra examples) for you to try out tonight. If you have any questions, send me a REMIND! also feel free to send a REMIND! to ask me for the answers.

Tuesday HW!

Since we didn't get through the whole sheet in class today that will be your homework. Finish as much as you can, but I need to see at least some work done for 1-4 (AT THE BARE MINIMUM).

Tomorrow, you will get a Key and you will grade yourself and correct mistakes on your own paper. I will label on the Key what I'm doing (procedure-wise) so you can all follow it.

The test will not be moved back any further! We will start review for the final on Friday so Thursday is the last possible day we can have this test.

Here is the worksheet from class:

Weekend HW!

Hey y'all!

Homework over the weekend is a couple of problems off of the grudgeball slides. They will be posted below, if you have any questions along the long weekend feel free to Remind! me (it will say that the message didn't send because its "outside office hours" but don't worry I'm still getting the messages.)

Thursday HW!

If you're not doing your homework every night (even though I haven't been checking it) then you are preparing yourself to fail this test. Tonight's homework is:

pg 364
#

• 14-16 all
• 22,23,24, 28

Let me know if you have any questions over remind!

The test is going to be next week (most likely wednesday), tomorrow we will be playing more grudgeball for review.

REMEMBER!! We are always solving for the unknown variable in an equation. In these trig equations that unknown variable is an angle every time. (so that will be your answer)

If you're interested in more examples/problems to prepare, send me a Remind! and ill send over some more examples.

Wednesday HW!

Homework is from the book tonight, and one additional problem.

Pg. 364

• # 15, 16
• # 29, 30
• sec(2x) + tan(2x) = 1

When solving tan and cot problems convert to simpler trig functions (tan = sin/cos) and determine if the numerator or denominator (of the side length) is larger, this will tell you whether sin or cos (whats in your numerator/denominator) is larger. If sin is larger then you have pi/3 (the larger angle), if sin is smaller then you have pi/6 (the smaller angle).

Tuesday HW!

Hope you all enjoyed the no homework last night. Here's tonight's HW, it's out of the book.

We will work on that worksheet tomorrow, no need to focus on that tonight.

We will start class with any HW questions and ill have the solutions to the even answers on the back board.


pg. 364

• # 11 - 13 all (using square roots)
• #22, 24, 28, 29

IGNORE DIRECTIONS JUST SOLVE TRIG EQUATIONS!

Monday HW!

Tonight there is no homework, if you have already finished the worksheet I handed out during class I will gladly give a couple extra credit points. We will finish that worksheet and more examples tomorrow.

I think you will all be relieved to hear I am moving the TEST back to Friday. We're just going to do more review this week, and GRUDGEBALL! on thursday.

Weekend HW!

The homework over the weekend is to finish that worksheet and solve the 2 problems below.

1. sin(2x) =cos(x)sin(2x)
2. csc(x/3) = csc(x)csc(x/3)

If you were not here or need an extra copy it is below:

Thursday HW

Homework is out of the book tonight.

Pg. 364
#...

• 39, 40, 41, 43, 45 (multiple angles trig)
• 81, 85, 87 (Review)

For tonight's homework:

1. Start by setting whatever is inside the parenthesis equal to theta. (Ex: tan(3x), set θ = 3x so you now have tan(θ))
2. Get the trig equation by itself equal to one thing on the other side (finshed product: tan(θ) = 1)
3. Determine what angle (θ) makes this statement true.
4. Go back to that equation in red and substitute the angle you get for θ.
5. Solve for the unknown variable (x or t or A, etc....)

Wednesday HW!

Tonight's homework is out of the book, theres one problem that is verifying if a given angle is a solution, just solve and plug in. The rest solve as you normally would, finding the corresponding angles that make the equation true. If you need any help feel free to send a Remind! message.

Pg. 364
# 3, 11, 21, 24, 27, 34, 35

Tuesday HW!

The homework tonight is just to finish up that worksheet I handed out during class. (SKIP #2, WE HAVEN'T COVERED THAT YET! If you lost it or were not in class I'll post a picture below. Try and struggle through these and come in with any questions you have.

We might have a little quiz on Friday, depending on how much we get through tomorrow and thursday. It would be on solving these trig equations, using factoring, identities, or algebraic manipulation.

We will definitely have a test on this next Tuesday so start studying over this weekend. Brush up on:

• trig identites
• the unit circle
• trig inverses

Here is the homework though:

Monday HW!

Hey y'all for homework tonight just finish up that worksheet I gave you today during class. I will post a key below, you shouldn't just fill out any missing answers off the key you should try them and then check your answers. This key is for the answers mostly, I put my process in solving them on the paper but that may not come through so clear so be ready tomorrow with questions about this homework. This is very important for moving forward because there's 17 different paths we can go down but it all depends on what you all need the most help with.

Here's the Key:

Last Blog Post!

I hope you're feeling confident about today's test!

This will be your last blog post for a while! I'll update periodically with some baby pics, some updates about when I'm popping in, and maybe some other info, but the blog will not be updated with homework each day anymore--Mr. Mason may start to use Remind for that!

No homework this weekend! But next week we start trig equations which will involve the identities and the unit circle -- so be sure you know your unit circle for Monday! Study this weekend so you can prepare yourself to start strong!

And finally, thank you all for an amazing year. I am so proud of the progress you have all made in PreCalculus! It's been an honor and a privilege to be your teacher! I enjoyed coming to work each day and working with all of you--thank you for that! You are an amazing group of individuals and I have the utmost confidence you will succeed moving forward! Even though I was very tough on you, and sometimes even a jerk, I hope you know that I was only trying to push you to give your best. I believe in each and every one of you as individuals! I appreciate all of the hard work you put in throughout the year! I will definitely miss you guys! Feel free to reach out and email me if you ever need anything--you know where to find me!

End the fourth quarter strong! Work hard with Mr. Mason to get an A and go out on top! I wish you the best of luck for the rest of the quarter and beyond!

TEST TOMORROW!!!!

Tonight...study! There are two things you can do to study: 

1. Be sure you know how to derive the Pythagorean identities! Look over your notes and our quiz from last week!
2. Practice! Look over your homework examples and today's classwork examples/key!
• Here are some problems you can try in your book for more practice:
• Page 345-346: 23, 25, 27, 29, 31, 33, 37, 45, 47, 51, 53, 57
• Page 353-354: 1, 3, 5,7, 9, 19, 41, 45, 47
• Some of these practice problems might be the same as the ones on our test! 

Here's a breakdown of tomorrow's test:

1. First you will have to derive the Pythagorean identities in at least 6 forms, referencing all 6 trig functions (same as our quiz)
2. Then you will have 11 identities to verify
3. Then there are 3 true/false questions (like today's classwork)

Let's go out on top with an A on identities! Tomorrow's also my last day, so let's send me out on a high note! Please :)

If you were out today here's the classwork so you can also use this to practice:

And here's the key to the classwork above:

Wednesday HW! (Practice for Friday's Test)

Tonight please complete the 7 "Verify Trig Identities" problems provided in class after STAR (or below)! 

• Do your homework! This is practice for our TEST FRIDAY!
• You will have some classwork practice tomorrow before our test Friday!
• Do these on separate paper! Remember the focus/grading is based on how you show your work, so don't sloppily squeeze this on the half sheet--that type of work wouldn't get you an A on Friday!

Tomorrow in class I'll provide a key and then we'll do some practice before Friday's test! See you there! Have a great afternoon!

Tuesday = Finish any outstanding homework!

Remember we have the STAR TEST TOMORROW! Head straight to the LIBRARY LIT LAB! Be on time!

• Proficient on STAR = 100% on a quiz
• Proficient on STAR = seniors need an 80 or above to be exempt
• You also must be proficient on STAR to be proficient for your SLE rating on your report card!

Seniors (HW): 

• Seniors must complete the "Trig Identities Puzzle" (Friday's sub work) for tomorrow!
• This will be collected and graded as a quiz
• Be sure to neatly and clearly show all of our work--remember, I'm grading your process (your work), not your final answer!
• Feel free to do this work on separate paper! Just # every problem and be neat/organized/clear!

Otherwise if you have any outstanding homework with identities you can show it to me tomorrow for full credit! No makeup homework will be accepted after tomorrow! However, I'm not going to tell you if you're missing something--you have to check the gradebook and use the blog to find any assignments!

After STAR tomorrow we'll do some identities classwork on Thursday, then it's test time Friday! Be ready!

Monday HW!

Tonight please complete the "Verifying Trigonometric Identities Quiz" worksheet provided in class (or below)! (This is going to be checked/scored as homework, not as a quiz)

• Remember, verifying identities is all about SHOWING YOUR PROCESS
• You MUST SHOW EVERY STEP
• Work must be organized and clear so that I can follow your reasoning
• If it's not...no credit!
• "The answer" is given to us! This is all about neatly and clearly showing how we can make one expression match another
• Pay attention to exponents
• Pay attention to the variables!

This is a big week for us! Here's a breakdown of the week:

• Tuesday = more verifying identities practice/notes
• Wednesday = STAR Testing (in library Lit Lab)
• Proficient on STAR = 100% on a quiz grade!
• Proficient also means seniors need an A OR B to be exempt from the final!
• Thursday = identities classwork/practice
• Friday = Verifying Identities Mini-Test!
• (It's only "mini" because it's based on one chapter)
• First, you will have to derive the Pythagorean identities into at least 5 forms--the same as our quiz
• Then you will have a variety of identities to verify based on our practice throughout the week!

Thursday HW!

Seniors--be responsible tomorrow! If/when you miss class for "signing day" come get the classwork from the sub and do it over the weekend! Otherwise I'll have to give it to you to do as homework on Monday night!

Tonight, please simplify each of the identities below for homework--this will be check on Monday (when I'm back) along with your unit circle homework!

• Skip questions 2 and 3--we did this as our stamp today!
• Here are the questions: do 1, 4, 5, 6, 7:
• 
  

• And here are the answers so you can check:
• 1.) cot^2(x)
• 4.) 1
• 5.) sin(x)
• 6.) 1
• 7.) 1

Tomorrow I will be out! Your sub work will be collected and graded, so be on top of your game! After you finish some identity practice you will have a unit circle to complete--we can't forget about that!

Weekend Homework:

• Complete the unit circle provided by the sub
• Fill in all angle measures in radians and degrees
• Label all coordinates
• Do this without copying the answers from your book or an old unit circle--that's not going to help you LEARN this and PRACTICE! 

Have a great weekend and I'll see you all on Monday!

And remember, on Monday I'm checking the unit circle and the 5 identities above (in blue)!

Wednesday HW!

Tonight's homework:

• Please complete questions 9-14 on the "Worksheet--The Basic 8 Trig Identities" provided in class (or below).
• #14 is pretty tough! Here's some help...
• To start, let's just deal with the fraction--we'll worry about the "+1" at the end...
• First, use a Pythagorean Identity to substitute for the numerator of the fraction...
• Next, factor this numerator--we have a difference of two perfect squares! (If you don't remember how to factor a difference of squares, look it up!)
• After we factor this numerator we can now "cancel out" one of the "terms in parentheses"
• Now we should be left with (secx -1) + 1...
• Combine like terms and we get secx!
• And here are the answers so you can check yours:
• 9.) 1
• 10.) sin^2(x)
• 11.) sin^2(x)
• 12.) sin^2(x)
• 13.) cot(x)
• 14.) sec(x)

Tonight's Homework:

Tomorrow (Thursday) in class we'll keep working with identities--with a quiz?!

Then on Friday I will be out--you'll have some more identities to complete (sub work) that will be collected and graded; then, it's back to the unit circle--after you finish your identities you'll be given a blank unit circle to fill out!

HW and Quiz Tomorrow!

Tomorrow we will start class with a quiz--you will have to derive the Pythagorean Identities!

• Quiz = write the Pythagorean Identity in at least 5 different forms
• Your 5 forms must reference all 6 trig functions!

Tonight's homework:

• Please complete questions 1-8 on the "Worksheet--The Basic 8 Trig Identities" provided in class (or below).
• Want a head start on tomorrow's homework?
• Tomorrow's homework is to complete numbers 9 - 14! (14 involves some kind of factoring...)

Tonight's Homework:

Tomorrow (Wednesday's) Homework:

Monday HW!

Tonight please complete the following in your textbook:

Page 345: 

• 15-18 (for these matching questions ignore options c and e; you will use a,b,d,f)
• 27, 29, 31, 51, 61
• Be sure to check your answers in the book!

Some other reminders...

• We will start class with a quiz on Wednesday! You will have to write the "original" Pythagorean identity then derive it into different forms!
• Your various forms will have to reference all 6 ratios...look at our class notes!
• We will have another quiz on Thursday--12 matching questions with trig identities!
• And finally, I will be out Friday--but your classwork with the sub will also be graded as a quiz, so come focused!

See you all tomorrow for some more (and more challenging) identities!

Over the weekend!

No formal homework over this weekend. Just make sure you know the Pythagorean identities and the different ways to manipulate it to use all 6 trigonometric functions.

I will miss you all for the next two weeks, I hope you all do very well with Mr. Carofano. No need to get all teary eyed, I'll see you all in two weeks.

Good luck learning these trig identities, and GET PUMPED FOR MY RETURN!!!!!!!!!!

Tuesday HW!

Tonight's homework was handed out at the very end of class. It is a Kuta worksheet with a ton of different identities. SHOW ALL WORK when answering each question. Anyone who was not here or lost it I will post a picture below. Look back into your notes to check identities and mess around with the question, you've gotta try things to see if they'll work so just keep trying to switch up functions.

*Also remember to put sin(x) not just sin.
*When writing the identities dont change sin(x) to y or cos(x) to x, keep everything in terms of trig functions.

When's Day

I hope you're feeling confident about today's test! We'll see inverses and the unit circle come back in a big way in a little bit when we start solving trig equations--so keep working on that stuff!

Mr. Mason will be back tomorrow and will get those graded for you asap.

Tomorrow in class we will start some new stuff--trigonometric identities! There's no formal homework for tonight, but be sure you know the following for tomorrow in class:

Study/Check out the key I posted!

The homework tonight is just to study for the test tomorrow. I have uploaded a key of the question packet that we used for GRUDGEBALL! below. If you don't end up working on the packet at least check out the critical thinking questions in there. I answer those in full sentences with an explanation of the ideas. Checking these out will do you only good, and I don't know how people will do if they don't work on those critical thinking questions.

Topics covered on our TEST tomorrow include:

1. Evaluating trigonometric inverses (sin(theta) = 1/2)
2. Graphing trigonometric inverses (graph y = arcsin(x))
1. Critical thinking questions about inverse trig functions
3. Graphing trigonometric reciprocals (graph y = csc(x))
1. Critical Thinking questions about reciprocals

Monday HW!

Tonight's HW is to finish the front page of the worksheet I handed out today during class. If you want extra practice there are a ton of examples on the back. I'll give extra credit to anyone who finishes the entire back.

Other than that just study for the TEST on Wednesday, topics covered include:

1. Evaluating trigonometric inverses (sin(theta) = 1/2)
2. Graphing trigonometric inverses (graph y = arcsin(x))
1. Critical thinking questions about inverse trig functions
3. Graphing trigonometric reciprocals (graph y = csc(x))
1. Critical Thinking questions about reciprocals

Use your prior tests/quizzes to study, the test covers everything in 4.6 and 4.7.

Friday (Weekend) HW!

This weekend's homework is the rest of that worksheet that you received yesterday during class. We will have done a couple problems during class so any questions left uncovered will just be left as the homework.

*If you lost the worksheet it is on the post below for Thursday Night's HW.*

If you want any extra practice send me a Remind! message or an email. I'll gladly whip up some extra practice for anyone willing to take the time for it.

Over the weekend start studying for the TEST on Wednesday, topics covered are:

• Evaluating trig inverse functions
• graphing trig inverse functions
• graphing trig reciprocal functions 
• critical thinking questions about trig inverses
• critical thinking questions about trig reciprocals

Thursday HW!

Tonight please complete the following problems from the worksheet provided in class (or below):

#5, 11, 12, 21, 23, 24, 25

This inverse stuff takes practice! It's essential that you take the time to do these homework assignments so that you're prepared for our upcoming test--next Tues. or Weds.! 

And of course this is all coming back to our special triangles and the unit circle! That stuff is never going away and will be a major component of your final exam and our next chapter, so study, study, study that unit circle and those special triangles!

Tomorrow night's (the weekend) homework will be some more problems from this same sheet--between 5-12 or 17-26 (we'll be skipping the ones with the triangles shown)--so if you want some extra practice do more of these! You'll also be getting your weekend homework done!

Here's the sheet for tonight's homework:

Wednesday HW!

No official homework today, just study for the QUIZ tomorrow.

Study the restricted domains and the inverse graphs.

Remember: You don't NEED to sketch a non-inverse if you are comfortable graphing without it, but if you do then YOU MUST LABEL EACH GRAPH AS THE INVERSE OR NON-INVERSE!

Tuesday HW!

Hello everybody and welcome to this glorious Tuesday, the weather has declined a bit so all the more reason to stay inside with a snack and a pencil.

If you haven't already done so, join the new remind!

Class Name: EHHSPreCalc

Class Code: mrmasoneh

If you want to sign up for the texts instead of on the app,

text @mrmasoneh to 81010

The homework tonight is:

1. Sketch y = arctan(x)
1. What is the restricted domain for arctan(x)?
2. Why do we use the horizontal line test? What does it show us about our graph?
3. Why are there real numbers on the X axis and angle measures on the Y axis on the graphs of the inverses?
• Think about y = arctan(x), Where does X come into the equation? What about Y?

Monday HW

For homework tonight I just want more sketches of those graphs that we built during class.


HW tonight:

1. Sketch y = arcsin(x)
1. What is the restricted domain?
2. Sketch y = arccos(x)
1. What is the restricted domain?

If you are having trouble with the graphs check your notes and send over a REMIND! message.

Over the break!

Your homework over break is to finish that Take Home Test. It's got some review along with a couple of the new content that we've been learning this past week. Try your best and don't forget about it. THIS IS THE FIRST TEST GRADE OF A NEW QUARTER!!!! MAKE IT COUNT!!

Also don't forget to sign up for Mr. Mason's remind (it's part of the test grade). The info is below:

Class Name: EHHSPreCalc

Class Code: mrmasoneh

If you want to sign up for the texts instead of on the app,

text @mrmasoneh to 81010

We're having computer trouble uploading the test so if you lost yours or can't find it, it's alright, no big deal, just email me and I'll send over a copy.

Tonight's Homework will be out of the book, just some practice solving for arcsin, arccos, arctan of specific values.

REMEMBER arcsin(1/2) just means "the angle whose sin is 1/2"
Pg: 316
#1,2,4,6

If you are checking your answers in the back of the book some of them are not between 0 and 2π

 (this is because of something we haven't covered yet called restricted domain, don't worry about that yet) I will make up a key with all the answers and hand it out tomorrow, if you want to check your answers yourself just find the coterminal angle.

Friday: We will start class with a unit circle quiz!

• You will have 15 minutes to completely fill out a unit circle
• Label all angle measures in radians
• Label all coordinate pairs
• You have to know this stuff!
• Section 4.7 is going to involve two new graphs, and then the rest of the section will be entirely based on your knowledge of the unit circle!
• We'll also see the unit circle again in chapter 5!
• Watch some videos, review your old notes, do whatever you have to do--BE PROACTIVE IN LEARNING YOUR UNIT CIRCLE! No excuses!

April Vacation: We will have a take home test over April break that reviews the following...

• Graphing sine and cosine with changes to amplitude, period, vertical shifts, and phase (horizontal) shifts (review)
• Graphing tangent, cotangent, secant, and cosecant
• Evaluating trig functions on the unit circle
• Working backwards with the unit circle...
• For example, "If the sin(x) = 1/2, what two angle measures could x have been?"

Tuesday/Wednesday HW = STUDY!

Juniors--good luck tomorrow! Get a good night's sleep tonight! Rest up and come in ready to put forth your best effort tomorrow!

Seniors--enjoy your day off or your community service!

Everyone: your homework tonight/tomorrow is to study! BE PROACTIVE IN YOUR LEARNING! Your quizzes, tests, etc. are not going to ace themselves--you have to put in the work to do so!

Thursday: We will start class with a quiz on 4.6--here's what's on the quiz...

• 2 or 3 or all 4 of the tangent/cotangent/secant/cosecant graphs (graph the function)
• Some critical thinking questions like those below:
• Feel free to try these on your own and then send me your answers through Remind or Email and I can check them! 

• If you want to see more examples check out section 4.6 (page 298 - 301) in your textbook
• Ultimately, be sure you know how to:
• Graph each function
• Find vertical asymptotes for these functions
• Find x-intercepts for these functions

Friday: We will start class with a unit circle quiz!

• You will have 15 minutes to completely fill out a unit circle
• Label all angle measures in radians
• Label all coordinate pairs
• You have to know this stuff!
• Section 4.7 is going to involve two new graphs, and then the rest of the section will be entirely based on your knowledge of the unit circle!
• We'll also see the unit circle again in chapter 5!
• Watch some videos, review your old notes, do whatever you have to do--BE PROACTIVE IN LEARNING YOUR UNIT CIRCLE! No excuses!

April Vacation: We will have a take home test over April break that reviews the following...

• Graphing sine and cosine with changes to amplitude, period, vertical shifts, and phase (horizontal) shifts (review)
• Graphing tangent, cotangent, secant, and cosecant
• Evaluating trig functions on the unit circle
• Working backwards with the unit circle...
• For example, "If the sin(x) = 1/2, what two angle measures could x have been?"

Monday HW

Hello everybody,

As I said in class this weekends HW will be checked tomorrow along with tonight's homework.

Tonight's HW is simply:

1. Graph two periods of y = csc(x)
2. Graph two periods of  y = sec(x)

How to:

1. *First Graph the original (non-reciprocal) function*
2. anytime that function = 0 there is a vertical asymptote, mark that with a dotted line (vertical astmptote whenever we have 1/0)
3. the function will still = 1 at the same value, when sin(x) = 1, csc(x) = 1 because                  csc(x) =  1/sin(x) = 1/1 = 1
4. Flips the curve so that it no longer touched the x axis

UPCOMING TEST/QUIZZES:

1. Mini-POP QUIZ (not a pop if you checked the blog) that is graphing the 4 functions we have learned in the past couple days
1. y = tan(x)
2. y = cot(x)
3. y = csc(x)
4. y = sec(x)
2. Quiz on Thursday
1. sketching the same graphs from the pop quiz
2. some critical thinking questions about the graphs
3. Unit Circle "Quiz" Friday, so study the unit circle
4. Take Home Test (over April Break) to help review for the upcoming section that uses the Unit Circle a lot!

Weekend HW!

The homework tonight was passed out at the end of class, if you weren't here or you lost it I'll post a picture below. Remember to mark all vertical asymptotes and plot all x-intercepts, then you should be able to graph the parent function using those markings.

For the critical thinking questions: (limit questions) we are just saying what is the limit of tan(x)/cot(x) approaching from the left/right and then the overall limit.

If you are having trouble look in your book! (pg 298 [tan(x)] and pg 300 [cot(x)])

BRING IN YOUR STAMPS!!!!!

Tonight's HW is just bringing in your stamps!!

STAMPS ARE DUE TOMORROW! I WILL NOT ACCEPT THEM AFTER TOMORROW!

• Count up your stamps and record the the total on the front (with your name)
• Put them in a bag or staple them together--somehow get them all together
• Double check your count! I'll randomly select 5 students to double check, and if your count is off you get a 0! (Gotta be able to count in Pre-Calc :) )

STUDY FOR TEST!!!!

Tonight's homework is just studying for the test. The template you used during class lists the four things you will need to be able to do for this test. If you are having trouble with any of those feel free to send a Remind! message, you could try doing some odd problems from the book and checking your answers in the back. Review the sequence of steps and the table for +/- cos, sin that I handed out yesterday if you're having trouble.

Topics covered on the TEST are as follows:

• Parent functions (sin, cos) and their shape
• amplitude (|a|) and how it affects graphing the parent function
• Vertical shift and how it affects graphing the parent function
• Determining Period (=2π/b) 
• For Determining equations: plug in period (into the equation above) and solve for b
• Phase shift and how it affects the parent graphs (shift the starting point (x=0) for any given function)
• Determining equations based on a graph (consider midline, amplitude, period, shape, and +/-)
• Don't worry we WILL NOT be using phase shift to determine equations only those 5!!
• Determining Equations based on written descriptions (amp of 4, shift up of 3....)
• Writing descriptions of a trig equations
• Don't forget to include the - (negative)
• a negative should be written like this "Reflected over the midline"

There is a key to last night's homework below:

5) y = -cos(2/3 x) + 2

6) y = 2sin(2/7 x) - 2

Tuesday HW/Review for TEST!

Remember to bring in STAMPs (due Wednesday!) 

• Count them, Record total on front
• Staple together, put in an envelope, create some sort of organized system to turn them in!
• DOUBLE CHECK YOUR TOTAL! (if it's wrong you'll get a 0)

#5 & 6 are below: Directions: Determine the equation to the following graph. (DO NOT CONSIDER PHASE SHIFT FOR THESE PROBLEMS! THESE GRAPHS DO NOT INCLUDE PHASE SHIFT!)
5)

 6)

*Along with the HW if you are still feeling shaky on any of the subjects below do some studying, some more extra practice!*

Here are the topics covered:

• Parent functions (sin, cos)
• amplitude (|a|) and how it affects the parent function
• Vertical shift and how it affects the parent function
• Determining Period (=2π/b) 
• (the only new thing to pay attention to when writing equations from graphs)
• plug in period (into the equation above) and solve for b
• Phase shift and how it affects the parent graphs (shift the starting point (x=0) for any given function)
• Determining equations based on a graph (consider midline, amplitude, period, shape, and +/-)
• Don't worry we WILL NOT be using phase shift to determine equations only those 5!!

A Picture of the homework is below:

Monday = Revisit/Retry the Weekend HW!

This homework assignment is out of the book! For all the problems only graph g(x), the book gives two equations f(x) and g(x) and tells you to compare, you do not need to do that, for homework just graph two periods of g(x).

Pg. 294

• 15, 16, 21, 22, 34

USE YOUR CALCULATOR OR DESMOS CALCULATOR TO CHECK IF YOUR GRAPH LOOKS CORRECT!

The book problems are below as well:

15) g(x) = sin(x - π)

16) g(x) = cos(x + π)

21) g(x) = 5 + sin(2x)

22) g(x) = -6 +cos(4x)

34) g(x) = -cos[x - (π/2)]



Also remember we have a Test Thursday! We will be reviewing on Tuesday and Wednesday so it would be a good idea to get a bit of studying in now so you can ace your classwork and be ready for Thursday!

Here are the topics covered: (notice there is something new)

• Parent functions (sin, cos)
• amplitude (|a|) and how it affects the parent function
• Vertical shift and how it affects the parent function
• Determining Period (=2π/b) 
• (the only new thing to pay attention to when writing equations from graphs)
• plug in period (into the equation above) and solve for b
• Phase shift and how it affects the parent graphs (shift the starting point (x=0) for any given function)
• Determining equations based on a graph (consider midline, amplitude, period, shape, and +/-)
• Don't worry we will not be using phase shift to determine equations only those 5

Thursday HW!

The homework tonight is the worksheet I handed out for homework. I will be posting a picture of it below if you lost it or weren't here. This homework is more than busy work its some good practice for your Quiz tomorrow. The homework covers all the same concepts so if you are able to finish this homework without a hitch you'll Ace the Quiz.

Remember: If you have any questions you can send a Remind! message. I will be here after school and free during G, H period. If you feel uncomfortable with your chances going into this test let me know, I'm here to help. 

Again, here are the topics covered:

• Parent functions (sin, cos)
• amplitude (|a|) and how it affects the parent function
• vertical shift and how it affects the parent function
• Determining Period (=2π/b) 
• (the only new thing to pay attention to when writing equations from graphs)
• plug in period (into the equation above) and solve for b
• Determining equations based on a graph (think about where the graph starts; at its min/max or mid line)

THE HOMEWORK FOR TONIGHT IN IMAGE FORMAT! (key below)

DETAILED KEY! (multiple pages long)

Wednesday HW!

Tonight's HW is just sketching one period of the graphs listed below:

• Determine b and plug it into the equation for Period
• Where should we start on the x axis? (first critical value)
• Label your last (fourth) critical value with the full period
• find half of the period for your second critical value
• take half of the second critical value to find your first critical value
• multiply the first critical value by 3 to find the third critical value

1. y = cos(x/4)
2. y = 3sin(4x)
3. y = -sin(x/3) - 1
4. y = 2cos(3x/2) + 1
5. y = -3sin( 2πx ) + 3 

We have a Quiz this Friday (and Test next Thursday) on everything about graphing that we have learned so far. This includes:

• Parent functions (sin, cos)
• amplitude (|a|) and how it affects the parent function
• vertical shift and how it affects the parent function
• Determining Period (=2π/b)
• Determining equations based on a graph (think about where the graph starts; at its min/max or mid line)

Tuesday HW!

Tonight's HW is out of the book, some practice with adjusting period.

pg. 294

• Find Amplitude & Period:  1-13 odd
• Remember Amplitude is |a| (absolute value of a)
• If you forget how to find period check your notes
• Sketch 2 Periods: 41, 42
• Take it piece by piece
1. Find critical x values (Period)
2. Consider vertical shift to determine new mid-line
3. Amplitude is simply distance from midline to max/min

I want us all to get better with homework. This is not just you, I haven't been emphasizing homework as a part of class. I plan to start class from now on with homework questions and I want nobody to be afraid to ask one. If you were having trouble on any part of the homework even something super small, voice it to the class because someone else might have had the same question and it will help you in the long run too. 

Monday HW!

Hope everyone is doing well after the weekend. Tonight's HW is out of the book, more sketching trig functions and a couple determining equations.

Pg. 294

• Determining Equations of Trig Graphs: 63-66 all
• Use max/min to find the amplitude (half the range)
• AND to find the vertical shift (mid line is midpoint of range)
• Graph two periods of the following equations: (Label max/min & vertical shift on the graph)
• y = 4 + cos(x)
• y = (-1/2) sin(x) - 1/2
• y = (1/3) sin(x) + 2

Over the Weekend!

Over the weekend the only homework is to complete that Take Home Quiz. If you were not here or lost it there are pictures of it below.

To help with your test you can check out examples from the book.

• Graphing Sin, Cos Curves (Sec 4.5): pg. 287-297
• Parent Graphs: Example 1 (pg. 288)
• Amplitude: Example 2 (pg. 289)
• Vertical Shift: Example 6 (pg. 292)
• Evaluating Trig Functions (Sec 4.2, pg 259) OR LOOK THROUGH YOUR NOTES!!!

This Quiz is an opportunity to boost your grade. The class average is depressing to say the least so this is an easy way to get a 100 in the books to boost your grade. Put in all your effort, all of you should be able to ACE this quiz, with the help of your brain and some notes. I have complete faith in every one of you. Other than that have a good weekend, play outside, relax, come in on Monday ready to overcome all these snow

days.

Thursday HW!

The homework tonight is out of the book

For all of these I want you to sketch them by hand and then verify your sketch with a graphing calculator. DO NOT use the calculator first! You'll be just wasting time instead of practicing.

pg. 294

• Sketching two graphs on the same coordinate plane: 27
• Describe differences between graphs: 17, 19 (there is only one difference in each graph)
• Sketch 2 periods: 39, 40

Monday HW!

HOMEWORK: MAKING THE DIRECTIONS FOR THE HW MORE CLEAR!!!!!!

• The ideas of amplitude and vertical shift are the same for sin and cos so just stick to one for the whole HW!
• Graph sin(x) or cos(x) parent function (in Y1)
• THEN graph your new function (multiplied by a constant or a constant added to it) (in Y2)
• Choose an "a" value based on the criteria in the question! (a greater than one, a less than -1, or an a value in between -1 and 1)
• Compare these graphs to reveal the effect of a on the graph of sin or cos
• Repeat these steps for page 2
• choose a "v" value based on the criteria (v = 0, v > 0, v < 0)
• Compare the graphs to reveal the effect of vertical shift on a graph of sin or cos
• Repeat these steps for page 3
• keep v constant throughout the page to show the effects of amplitude and vertical shift without it being too confusing
• compare the graphs to reveal how vertical shift and amplitude work together to change the graph
• Use your definitions of amplitude (1d) and vertical shift (2d) to answer the last question (3d)
• Use your graphing calculator (online calculator on the blog in links)
• If you're having trouble with this check in the book for examples
• Amplitude (pg 289)
• Vertical Shift (pg 292)

Here's a key to the classwork (including the other side that we didn't get to)

Weekend HW!

I know I didn't announce homework but as always you should be checking the blog every night! Your homework is simple tonight, you're just drawing the sin, and cos curves (just like you did in that investigation). I am providing you with a table of values, you need to draw a coordinate plane, label the x and y axes. From there just plot the points and connect them. Tomorrow we will be extending this knowledge to plot another period past the one we already drew, if you want you can brainstorm some ideas about what those x values would be for the second period. We know that the tick marks are equidistant (the same distance away), using this knowledge what can we figure out about the x values in the second period.

So, for homework this weekend: 

• Fill out a table of values for sin(x); use x-values listed below!
• Then, graph sin(x) on a coordinate plane
• Fill out a table of values for cos(x); use the x-values shown below!
• Graph cos(x) on a coordinate plane
• *Be sure to label your x and y axes correctly.
• Do this in your notes!
• You must come to class understanding how to graph these functions on Monday!
• Try to watch some youtube videos for help!
• Watch Me to Learn About Graphs of Sine and Cosine!
• Watch me too!

                            

                

X	Y = sin(x)
0
π / 2
π
3π / 2
2π

X	Y = cos(x)
0
π / 2
π
3π / 2
2π