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section_4.7__worksheet_solutions__worksheet_2.pdf 
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Today was our inverse trig function Day 1! I know that it's tricky and that you are probably thinking that you just can't do the homework. Remember that my instructions were to just do the second worksheet down to the same problems that we covered in class. If you want to try more, you can. I would list everything we did in class, but don't see the point if I just attached originals and answers for everything we did. Some of you may have already found what you needed on Mr. Townsend's website. Look through all 10 documents. At the bottom are my notes to begin class and also the document that shows the entire unit's assignments and dates, etc. But here goes... attached below:
The second part of class today was used for taking the Unit 2 Test over graphing of trig functions and analyzing values using triangles in all 4 quadrants.
We started with returning Unit Circle Quizzes. There was time for any questions over any review. I posted the answers to the second review from my website just so those could check who had not already. Questions answered. I previewed inverses for the upcoming unit before the bell rang for lunch. No homework! Enjoy your weekend! Today was an "extra" day for review for the Unit Test Friday on 4.4  6. Ms. Bogart chose to have you all do the following:
I intentionally did not post answers to the review. Since we have an extra day, I want you to correct them in class and ask questions in class. I think this would be beneficial to many people. So try every problem. As usual, you can probably check Mr T's website. We are finished with any new content on this unit, which will be tested this Friday. On Wednesday in class, we will take another quiz over unit circle just like the first one we did (20 pts, several weeks ago). You will be given 5 different rays showing rotation from standard position. Your job is to give degrees, radians, and coordinates of the intersection pt on the unit circle. Reviews for the unit test were given out today. They are due next block (HW #5). I will also be doing notebook checks next block: get your homework for the semester organized. Textbook work sequential through notebook. Handouts in order. Remember that I collected the first unit reviews and one of the identity worksheets. Our warmup today was to think about where the four discontinuous trig functions are undefined, so which have which asymptotes. Write down the asymptotes. We went over worksheet homework and corrected period on secant and cosecant. Questions were answered. Quiz over 4.6 was taken and will be returned next time. Quiz over 4.5 was returned (makeups were taken today). There was time in class to start on the review.
We are getting close to the end of a unit. There is a quiz next time over the content we learned during the last hour of class today. You will be asked to: sketch graphs of the four discontinuous parent trig functions and identify their properties in a type of matching question. Make sure that you know what the 4 graphs look like and why, because you will not have a calculator to check. (A hint on secant and cosecant is to graph cosine or sine first and make sure you get those tangent (shared) points at the maxima and minima of sine and cosine. It also helps to remember which are even and odd. Answers to the worksheet are attached below. The unit test will be next Wednesday, October 9. Today we: went over the two worksheets for homework. We took a quiz over 4.5 (just like worksheet). Then we learned about the parent functions of y = tan x, y = cot x, y = sec x, and y = csc x. We filled in some notes to help us learn for the quiz. The unit test is over 4.46. You will get 4.5 quiz back on Monday. You will get 4.6 quiz back before the test. A review will be started on Monday in class with answers available online. I have not yet taken a grade over the two worksheets. Bring them next time as well as the Calculator Graphing Activity sheet.
Today was our fourth block in the new unit... get ready: quiz block 5, quiz block 6, test block 7. Quiz Thursday over 4.5  worksheet homework is good preparation. No calculator allowed. Answers posted below. 5 min for questions, 20 min for quiz. Today our goals were: improve graphing skills (especially without calculator), write equations from graphs (focus on finding a, b, c, and d from looking at the graph), analyze trigonometric functions by finding period, amplitude, vertical shift, phase shift, if reflected, domain, range, minimum value, maximum value, zeroes (in terms of n), yintercept (put in 0 for x, solve for y). The first part of class was devoted to "analyzing" y = sin x and y = cos x. What does it mean to analyze? What all can we observe? How do we write zeroes using n? A grade was taken on HW #2  4 pts. After lunch, we went over HW #2 and any questions. Then we used the last two questions to launch into how to write an equation from a graph or from information about the graph. We also practiced graphing by hand and labeling exact zeroes, yintercept and extrema. We practiced writing an equation from information about the graph. Activity: write an equation for each graph, check in the calculator to make sure you are correct. Is there more than one answer? Is a phase shift of cosine to the right Pi/2 just a sine function? Homework #3  two review sheets to practice for quiz. Attached: originals of the review sheets and the activity. Answers to both. Some notes from class (not about the analysis).
If you are looking for HW #2, it's on the notes sheet attached below and also handed out in class. Today our big goal was to learn to graph sine and cosine functions and their transformations, with and without technology. We began with a warmup activity from an old algebra book: interpreting information about a Ferris Wheel ride from a sketch and other data. We then graphed a function that Ms. Bogart wrote to model the same story, students were asked to interpret how the numbers and signs in the function connected to the story. New seats were assigned, quizzes 4.4 were returned, and a grade was taken over HW #1  8 pts. We used the graphing activity from last time as a launch for today's graphing lesson. Typed notes are attached, as so many left the room. The assignment is at the bottom of the notes pages. I have also attached the graphing practice we did in class. If you need more graph paper, there is a link below also. Quiz and Test schedule: Quiz 4.5  no calculator, Thurs, Oct. 3. Quiz 4.6  no calculator, Monday, Oct 7. Test Wednesday, Oct 9, 4.46.
Today in class we focused on trying to make sure that we understood the homework and our mistakes on it. Ms. Bogart went over homework problems that she thought might be particularly IMPORTANT (she loves that word).
We worked on a graphing activity to graph the sine function y=sin x and cosine function y= cos x to help create some usable notes for the next section (4.5) where we begin to graph and transform trigonometric functions. They are PERIODIC. There is a set of values that repeats. Our job was to realize the connection to the unit circle: input to the function is radians, output is x coordinates for cosine, y coordinates for sine. You can look this up online to find more information if you need it to finish the activity. Then we used the last 40 minutes to take a quiz over the newest material (4.4  trig ratios in any quadrant, reference angles). The only homework is to finish the activity. Here is a link to help you understand: Check boxes for "trace" and "animate" after picking either sine or cosine. The quizzes are posted. Unfortunately. Make sure you have HW #1 for me to check when you come to class. There are clearly a few of you who did not do it. 
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