Tuesday, March 31, 2015

Tuesday HW...

Tonight, please complete the 7 graphs on the worksheet provided in class! (remember, you don't have to do #1, that's why there's 7...)

Tomorrow we'll continue to work with graphing, and then we'll take our quiz Thursday! 2 more classes until vacation!

Monday, March 30, 2015

Monday HW

Tonight, please complete the "Graphs of Sine and Cosine Functions" worksheet provided in class (or below). 

And remember, stamps are due tomorrow, Weds, or Thursday--but Thursday is the last day you can turn them in!
  • Count up your stamps and record the total on the front 
  •  Double check your counting!
  •  Only papers with actual stamps on them count! This time I'll be paying extra attention for people who sneak papers without stamps in!

Tomorrow we'll do some practice with graphing in groups. See you there!

Tonight's HW:


Friday, March 27, 2015

Take Home Quiz!

This weekend, please graph the 3 trigonometric functions provided in class (or below). Be sure to neatly label your x and y axes and sketch the graph. This will be collected and graded as a quiz! Get an A!

On Monday we'll continue graphing, but now we'll start shifting these graphs vertically! See you there!

Take Home Quiz Questions: Graph Each Function

  • y = 4sin(x/3) or y = 4sin(1x/3)
  • y = -3cos(8x)
  • y = -sin(pix)
    • Remember, for this question, our period = 2pi/b = 2pi/pi = 2
    • This means that our x-axis (the "key points") will not be in terms of pi, but instead will be labeled with "regular numbers," like 1/2 (.5), 1, 2, etc.
  • Bonus Graph: y = 0.5cos4x

Thursday, March 26, 2015

Thursday...

Tonight, please complete the graphing practice worksheet provided in class!

Good luck! See you tomorrow!





Wednesday, March 25, 2015

Hump Day!

Last Wednesday of March! Let's celebrate with some amplitude and period practice!

Tonight, please complete the amplitude/period worksheet provided in class! Tomorrow we'll go over these answers and then start to graph some trig functions! Woooooo!



Tuesday, March 24, 2015

Tuesday HW!

Tonight, please complete the investigation that we started in class! If you were out, you will have to complete this on your own--start now! Remember, this will be collected and graded, so get it done!

  • For the last question, you have to come up with a formula to calculate period...this counts as extra credit! Take a look in section 4.5 of your book to find an answer!

Tomorrow in class we'll talk about what we discovered--amplitude, period, etc.

For those who were out (or lost their papers), here's the investigation that will be collected and graded:

Graphing Exploration Part 1
Directions: Use your graphing calculator to answer the following questions about the graphs of sine and cosine.
1) What happens when we multiply sin(x) by a constant (we will call a)? Use your graphing calculator to graph f(x)= a sin(x) and f(x)= a cos(x) for the situations given in parts a-d.
a)      Describe what happens when a is greater than 1 (a > 1). (Choose a value bigger than 1…like 2! Now, graph y = 2sinx and compare this to the graph of y=sinx –how did the “2” affect the graph?)
b)      Describe what happens when a is equal to -1 (a = -1).
c)      Describe what happens when a is less than -1 (a < -1).
d)      Describe what happens when a is in between 0 and 1 ( 0 < a < 1). .
e)      Write a general rule about how a affects the graph of f(x)=a sin(x) or f(x)= a cos(x). Be sure to reference your findings from parts a-d above. (3 points)

2) What happens when we multiply our input (angle) by a constant (we will call b). Use your graphing calculator to graph f(x)= sin(bx) and f(x)= cos(bx) for the given situations in parts a-
a)      Describe what happens when b = 2. (That is, graph sin(2x) or cos(2x) and explain how the graph changes.)
b)      Describe what happens when b = 4
c)      Describe what happens when b = 1/2
d)      Describe what happens when b = 1/4
e)      Write a general rule about how b affects the graph of f(x)= sin(bx) or f(x)= cos(bx). Be sure to reference your findings from parts a-d above. (2 points)

Type 2 Writing: Graphing Exploration (Part 1)
1. The constant a is known as the amplitude of a trigonometric function. In your own words (and in complete sentences), define amplitude. (2 points)
2. The constant b helps us to find the period of a trigonometric function. In your own words (and in complete sentences), define period. (2 points)
3. Use the information below to write an equation we can use to find the period of a trigonometric function based on b, the coefficient to x (our angle measure). (2 points)

Monday, March 23, 2015

Monday HW

Tonight, please complete the problems on the 4 powerpoint slides provided in class! I'm checking!

Tomorrow we'll get back to exploring the graphs of sine and cosine...be ready to explore and to think!

In case you lost yours or you were absent, here are the slides:



Friday, March 20, 2015

Weekend Homework!

What's better than weekend PreCalc? Nothing that I can think of :)

This weekend, please complete the graphing sine and cosine worksheet provided in class (or below). Use your knowledge of the unit circle to fill out the table at the top, and then use this information to "plot points" and develop the graphs of sine and cosine.

  • If you want more help/hints, look at section 4.5 in your book! Page 287 has the same exact table and graph!
  • You can also google "graphing sine and cosine" to get some hints--plenty of stuff will come up
  • Or, try this link! Click on Me to Graph Trig Functions!
Otherwise...enjoy a little more snow and the rest of your weekend!


Thursday, March 19, 2015

No homework!

No homework tonight! Hope you aced your test today! We'll start graphing tomorrow! I can't wait! Enjoy your Thursday!

:)

Wednesday, March 18, 2015

TEST TOMORROW: NO CALCULATOR!

Tomorrow is round 2 of our test, this time WITHOUT a graphing calculator! It is equivalent (point wise) to today's test--so if you didn't feel great about today, study extra hard and get an A tomorrow!

Tomorrow's (Thursday) test is all open ended. Here's a breakdown of what you need to know:

  • Define the 6 trig ratios in terms of SOHCAHTOA and in terms of X and Y
  • Determine which quadrant an angle is in (like our MC)
    • Ex: sinA>0, secA<0: Which quadrant is A in?
    • Study the 15 multiple choice questions we handed in Tuesday!
  • Evaluate trig ratios using special triangles
    • Ex: sin(pi/6) = ? 
    • Study our 4.2 quiz that we just took!
  • Sketch angles in standard position
    • Given radians, degrees, or radians "without pi"
    • Find a complement and supplement of an angle in radians
    • Find a positive and a negative coterminal angle in radians
    • Study our 4.1 take-home quiz! (the first trig quiz we took!)
  • Find the six trig ratios for an angle, given a triangle
    • Use Pythagorean theorem to find the third side, then define the 6 trig ratios using SOHCAHTOA
    • Study our 4.3 quiz!
Good luck! And as always, email with any questions!

Also...use this worksheet to study (answers are provided too!)



Tuesday, March 17, 2015

TEST TOMORROW!

Tomorrow's test is a really big deal! Study, study, study! It's our first test grade of the quarter, so it will have a massive impact on your class average!

Tomorrow's test is all WITH the graphing calculator. It includes multiple choice and open ended questions.

Here's a breakdown of the open-ended questions:

  • Evaluate trig functions with a graphing calculator (like sin1.5 or sec15degrees)
  • Find missing side lengths: word problem
  • Find missing angle measures: word problem 
  • Solve a triangle (find all angle measures and side lengths)
  • Convert angle measures to radians
  • Convert angle measures to degrees
  • Find the complement, supplement for an angle (in degrees)
  • Find a positive/negative coterminal angle (in degrees)
For the multiple choice, take a look at the pre-test below! Your multiple choice are these same types of questions, just with different numbers!

To study:
  • Use your bingo questions! Remember, all of the questions we did in class today are for tomorrow's test! (The ones we skipped you can study for Thursday's test)
  • Study the practice problems I provided in class (answers on the back; ignore the sudoku puzzle, unless you want to do it for fun)
  • Study your old quizzes (specifically our quizzes on 4.1 and 4.3)
  • Do the multiple choice questions below! 


Lastly...here are the answers to the multiple choice so you can use them to study...
  1. B
  2. D
  3. B
  4. B
  5. B
  6. B
  7. B
  8. D
  9. A
  10. D


Monday, March 16, 2015

Mondayyyyyyy!

Tonight, please complete the 15 multiple choice questions that we started in class! Don't forget--I'm collecting and grading it!

Tomorrow in class we'll play some bingo to review for our upcoming tests! Wednesday our test will consist of 10 multiple choice followed by some open ended. Wednesday's test will be "with calculator," and Thursday's will be "no calculator."

Check the blog for tomorrow for a specific outline of the test!

Enjoy the beautiful afternoon! Go play!


Friday, March 13, 2015

Tomorrow is the Most Important Holiday....ever!

Why is tomorrow so important? Well, it's Albert Einstein's birthday to start. Not only that, but it's also the MOST EPIC PI DAY EVER! Tomorrow, 3/14/15, at 9:26 and 53 seconds, it will be 3.141592653. Whhhhhhhhhaaaattt!


To celebrate, please complete the problems on our powerpoint slides provided in class (or below). 
  • Don't forget that there are two problems on the 4th slide! (Don't ignore the "more practice"!)
  • Use your notes from Friday's class--this is all based on those!
  • If you were absent (or want another resource), look at the examples in section 4.4 on pages 278-279






Thursday, March 12, 2015

No homework!

No homework tonight (unless you're doing the extra stamp)! Enjoy your half-day afternoon!

Tomorrow we will start our last section before our next test, which will be next week.

Hopefully you aced today's quiz! See you in the am!

Wednesday, March 11, 2015

When's Day

Good morning! I'm sorry I wasn't there today...I trust that you all worked hard and aced your assignment in class!

Tomorrow we will have our 4.2 quiz. The quiz is based on what we've been studying lately--evaluating trig functions using the unit circle. Use the answer key provided in class (today) to study, along with your notes, google, the links on the blog, and section 4.2 of your textbook.

Today gave you a nice opportunity to practice for the quiz without being able to ask questions. I'll have everything graded and back to you tomorrow.

Enjoy your afternoon! Go outside and enjoy the sun! I'll see you all soon!

Tuesday, March 10, 2015

Twosday Homework!

Tonight, please complete the "4.2 Evaluating Trigonometric Functions" classwork that we started today. Remember, 11-14 are extra credit!

  • For 11-14, your job is name the angle measures that have the given ratio. 
  • For example, in number 11, your challenge is to provide (two) angle measures that have a sine of -sqrt(2)/2.
  • Each of these problems has 2 different answers--that is, there are 2 angles (in 2 different quadrants) that will have the given ratio. Good luck!


Tomorrow we'll start some new stuff....and then on Thursday we'll have our 4.2 quiz!


Monday, March 9, 2015

Monday HW!

Tonight, please complete the practice worksheet provided in class!

Tomorrow and Wednesday we'll finish up this chapter and have a quiz on Thursday! Woooooo!

Here's your homework, in case you lost it or were out: (Remember, the answers are on the back!)


Friday, March 6, 2015

Wknd Homework!

This weekend, please complete the following in your textbook:

Page 264: 13 - 35 (odd)

  • Remember, for each of the angle measures given, you need to find the corresponding angle and coordinate pair on the unit circle...
  • Then, we know that the x-coordinate is the cosine, and y-coordinate is the sine!
  • These might be tough...try! Do your best! On Monday we'll do some classwork with this stuff, and then we'll have a quiz on Tuesday (or Wednesday)! Get your practice in with this homework!
  • We will have a short quiz instead of a stamp on Monday: it will be 5 questions taken directly from your homework!
Use your textbook, the links on the blog, and maybe even some videos to help you figure this stuff out!

See you all Monday! Enjoy your weekend!

Thursday, March 5, 2015

Unit Circle Quiz Tomorrow!

Tonight's homework....STUDY! Tomorrow you will be given a blank unit circle as your quiz...

  • Fill in all angle measures in degrees
  • Name all angle measures in radians
  • Fill in all of the coordinate pairs on the unit circle
In class we'll get back to our investigation to learn some more 4.2 stuff...then we'll take a look at some examples, and get right to practice! See you there!

Wednesday, March 4, 2015

Who loves the unit circle?

Tonight, please complete the unit circle provided in class!

  • Fill in all angle measures in RADIANS and DEGREES
  • Fill in all coordinate pairs!
  • Remember, we will have a quiz where I give you this exact same assignment; so, don't just copy the answers from the internet or the back of the book! That won't help you on your quiz!
Great work today ya'll! Keep it up tomorrow and Friday! See you in class!





Tuesday, March 3, 2015

2'sday

No homework again?! What?!

I'd better get you some homework soon! :)

Tomorrow we'll get back to work in our groups on the unit circle! Be ready!

See you all in the morning...enjoy your Tuesday!

Monday, March 2, 2015

Monday HW

Back to work!

Tonight, please complete the reference angles worksheet provided in class (or below).

Tomorrow we'll go over this homework, and then we'll start to investigate the unit circle...I'm excited! See you there!

Enjoy your Monday afternoon!