3/31
Today we went over amplitude and period. Just a quick reminder that amplitude is Never Ever Ever negative (Taylor Swift reference).
The Homework is the worksheet that was passed out at the end of class. In case you were absent, here is the homework

Find the amplitude of each function, then graph it.
1) y = 1/2 cos (theta)
2) y = 2 cos (theta)

Find the period of each function, then graph it.
3) y = sin (4 theta)
4) y = cos (3 theta)

Pretty short homework tonight. Looks like were looking at a short quiz on Thursday on period and amplitude.
Happy Monday!

The homework due 3/31 is on page 294, 1-13 (odd only), and 17-20 (not just the odd).

As you discovered today, the amplitude is given by the absolute value of a. This is in your book on page 289. You're also asked to find the period of the functions. To do so you can find the formula for period in your book on page 290.

For numbers 17-20, you're asked to describe the relationship between the two graphs. You have to write sentences to do this. You wont get credit for the homework if you just find the period and amplitude for the two functions. I'm not expecting essays, just a couple sentences.

Have a good weekend! And you better be cheering for UConn!

Graphing Sine and Cosine...

Of course you're all loving this new stuff--graphing trigonometric ratios.

For homework, please make sure you finish off the cosine graphs (on both planes) provided in class (if you didn't finish already).

Tomorrow/Wednesday we'll get back into some of this stuff and continue with our notes.

It is of the utmost importance that you come for help if you're still struggling with the trig ratios. All of that "stuff" that was on our recent test is the basis for graphing; so if you struggled with the last unit, the next one will be a struggle as well. Make sure you use all of your resources (myself, Mr. Cawley, and the math lab in room 241A) to prepare yourself to do well!

Graphing Trigonometric Functions!

This weekend, introduce yourself to some graphing of trigonometric functions! Please complete the worksheet we started in class (there is an image of it below if you want/need a new one).

Remember, the hard part is labeling the axes. Once you have the axes labeled, you can plot points to create the graph of sin(x), and then do the same to create the graph of cos(x). A few things to keep in mind...

• The "input" or "x" variable is our angle measure, or the theta. So your x-axis for both graphs should show each of the angle measures (thetas) provided in the table. The challenge here is to correctly space each point
• Consider converting these to degrees....that might help...
• Or, convert them to decimals (for instance, type "pi/2" and you'll get 1.57) and then you can number your axes
• Your other option is to use the angle measures as radians. In this case, you need to have a strong understanding of the fractions to see how everything is spaced/scaled on the x-axis.
• The "output", "y," or "f(x)" value is our ratio. So for sin(x), your y-axis is labeled with all of the values for sine you have in your table. 
• As you number your axes, think--what is the smallest value of y? The largest? 
• The x and y axes will be labeled exactly the same on both graphs
• One graph is for the values of sine, the other is for the values of cosine
• After you label your axes, plot points (x,y) or (angle measure, ratio) to graph each of the trig ratios

This is what we'll start getting into on Monday! Enjoy!

No homework?!

Back to trig tomorrow!

No homework tonight...just review some of your trig ratios so you're ready for tomorrow, the big day--graphing trig functions! Woooo!

STUDY....AGAIN!

We have ANOTHER TEST TOMORROW!

Today we did the open ended portion...tomorrow we have a 35 minute period to complete the 10 question multiple choice post-test. You will then use the additional time to complete the 4 questions you circled today! (You'll be given a colored pencil so that you can't go back and work on any questions other than those you circled).

You can find an image of the pre-test we took below...the test tomorrow will be the same types of questions, just with different numbers! If you can do these, you can do tomorrow's test!

STUDY, STUDY, STUDY!

TEST TOMORROW!

STUDY, STUDY, STUDY! This test is going to be tough--and it's going to have a serious impact on your grade! So be prepared! Remember, you can use the interactive textbook on the right to study! You also have your bingo questions (answers posted below) to use! And of course, you can always use the Khan Academy online (link on the right) or do some googling/youtubing to help out! And lastly, of course you should look at any old quizzes to help you study...good luck!

If you were absent, you are still taking the test tomorrow! Be ready!

Answers to the bingo review (remember, the slides are numbered from left to right for each row):

Answers to the weekend homework:

Here's a list of topics on the test tomorrow:

• Define the 6 trig ratios (both in terms of SOHCAHTOA and in terms of x/y)
• Find coterminal angles
• Find complements/supplements
• Convert angle measures (degrees to radians, radians to degrees)
• Find reference angles
• Draw a triangle (for a word problem) to find a missing angle or side length (using SOHCAHTOA)
• Cofunction relationships/identities
• Determine which quadrant theta falls in given information about the sign (+/-) of two trig ratios
• Compare/contrast inverses vs. reciprocal identities
• Domain and Range of sine, cosine
• Find the value of the ratio given an angle
• Find ALL angle measures that have a given ratio
• Draw a triangle given a coordinate pair and find all 6 trig ratios (like the weekend hw)
• Use your calculator to evaluate trig ratios
• Given a ratio (ex: tan(x) = 3/4) draw a triangle and find ratios (like the weekend hw)

Test is Tuesday!

Do your homework this weekend! Then study!

On Monday we'll review, and then it's test time on Tuesday. This weekend is a good time to start studying! We'll be after school on Monday, or you can always go to room 241A to work with one of the math tutors (during periods A-G).

This weekend, please complete the worksheet Mr. Cawley provided in class. If you lost it or were absent, the questions are below:

Test Tuesday!

No homework tonight...that means it's a good time to start reviewing your notes/quizzes/homework etc. as we move closer to our test!

Tomorrow we'll finish the notes on this section, then Monday we'll do a little review, and then on Tuesday it's TEST TIME! Woooooooo!

This likely will be your last test grade before the end of the quarter (which ends the first week of April), so get an A!

Remember, you can always go see the math tutors in room 241A (by Fote's office, House 9) if you don't have the time to come see myself or Mr. Cawley!

QUIZ TOMORROW!

Study, study, study! More of the same types of problems, but now with negative angles and angles over a full rotation! And, now we have to provide ALL angle measures for a given ratio, not just 1 angle measure!

Study!

Use the "station activities" we did yesterday to help you. You can use the two worksheets (10 questions each) as review problems.

In addition, look at the stamp problem from today! These are the two types of questions on the quiz tomorrow!

Nice job today!

Nice work with the stations! Hopefully you found it helpful to have some time to work in groups and review some of the problems we discussed yesterday, and to then start exploring some of the stuff we'll start working on.

Tonight, please complete any problems (on the 3 worksheets from the stations) that you did not finish in class. Mr. Cawley is going to collect this work and give you a classwork grade for today's activity...so don't forget it tomorrow!

See you all in the morning! Enjoy your warm, sunny afternoon!

Monday HW!

Do your homework tonight! It's super important that you put effort into practicing this stuff! All of these problems dealing with finding ratios and finding angles will be the foundation for what we continue to do moving forward!

Tonight, please complete page 264: 29-36!

More (New) Trig Monday!

Hopefully you aced today's quiz! If not...start studying! This stuff isn't going away for another couple months, so the more you work now, the better off you'll be moving forward!

This weekend, please complete the worksheet provided in class: 10 questions finding trig ratios (for angles over one rotation), and then 11,12,13 on the back. Good luck! 

This time, you're either done or not on Monday. You won't have the chance to finish for credit! If you lost the worksheet you can see an image of it below:

STUDY!

Quiz tomorrow....a big one! Make sure you're ready!

Use the questions (and answer key) we provided in class to study! If you complete these (and show your work), bring your work in--I'll count this as an extra homework assignment!

Here are some quiz topics...

• Know the definitions of the 6 trig ratios
• Find trig ratios (any of the 6) given an angle measure
• Find the angle measure given the trig ratio
• Determine the quadrant an angle falls in given the sign (+/-) of trig ratios
• Use cofunction relationships to write equalities...
• For example, sin40 = cos50
• You must know how to do this in both radians and degrees
• Know what the input/output is for a trig ratio

2's Day HW

Tonight, please finish last night's homework--many of us had trouble with the questions that asked us to find the angle measure, theta. If you were one of those, finish the rest of the homework to get full credit tomorrow. Also, don't forget that Mr. Cawley added 8 questions to the back of the page. You can find these in the blog post below (from yesterday).

Good luck! Tomorrow we take notes, Thursday we practice/review, and Friday...QUIZ!

Monday Homework!

Back to work! Stay focused and work hard this week...we'll be ending the week with a quiz (Thursday or Friday) on ALL of the trig we've learned, especially the type of questions you see on your homework....so make sure you come get some help if you need it!

Tonight, please complete the 10 questions provided in class. For the first 6 you are given an angle and asked to find the ratio. For the following 4 you are given the ratio, and asked to work backwards and find the angle measure.

In addition, please complete the problems Mr. Cawley added on the back of your paper. If you didn't have time to copy these (or just didn't), you can find them below (thanks, Becca!):