Unit R Concept 3 - Student Problem

This problem is about finding the trig function of an inverse trig function. The "type 2" problem I made and solved above comprises of using Unit Circle values to easily find the trig function values inside the parenthesis.

Pay close attention to the fact that I used the 1st quadrant angle for sin v = 0 instead of the 2nd quadrant angle. If I chose the second one then the answer will be different but it would not be necessarily wrong.

Unit R Concept 2 - Student Problem

This problem is about using the sum and difference formulas. Only this time it is when values are given for a right triangle.

Pay close attention to the way I drew the triangles with the knowledge of which quadrants they were in. The way you draw the triangles is crucial to finding the desired and unknown trig functions.

Unit R Concept 1 - Student Problem

This problem is about using the sum and difference formulas of the 3 main trig functions. These formulas help us find the exact values of angles that are not apart of the magic five reference angles (0,30,45,60,90) by adding or subtracting two of the angles given in the unit circle to get the desired angle. 

Pay close attention to the order of the variables and how I first found the exact values of cos,sin, and tan of the two angles. The order of the variables is crucial for one to obtain the correct answer when using certain formulas. The finding of the exact values helped me accelerate my finding of the exact values of the trig functions of the desired angle. 

Unit Q Blog Post III

Unit Q Blog Post II

Unit Q Blog Post 1

Math Analysis Reflective Blog Post

1. How have you performed on the Unit O and P tests?  What evidence do you have from your work in the unit that supports your test grade (good or bad)?  Be specific and include a minimum of three pieces of evidence.

I performed a little below my expectations, I got 89 on my Unit P test and 83 on my Unit O test. I expected myself to achieve at least an A (95) for both. I did not do any form of practice for the review which is why I am not surprised I did bad. I did exceptionally well on the concept's 1-3 part of the Unit P test which was the easiest one which is supported by the PQ's and PT's that I completed and checked for that part. There was one question from the Concept's 1-3 section of the Unit O test that I did completely wrong. I think that one was a concept 3 question and I just noticed that I did not do PQ's or PT's for that one. I also got the Concept 6 question wrong for the Unit P test and I did not do the PQ's nor the PTs for that concept.For Unit O, I did horribly on the concept 7-8 portion of the test because I did not do the PQ's nor the PT's for that concept as well. For the review portion of the Unit O test I did uncharacteristically bad (I always get 10/10 but I got 3/10 this time). I did not do any form of practice for the review which is why I am not surprised I did bad.I did do well with everything else of the Unit O test which is supported by all the PQ's and PT's i did for them.

2. You are able to learn material in a variety of ways in Math Analysis.  It generally follows this pattern:

→ Your initial source of information is generally the video lessons and SSS packets followed by a processing and reflection activity via the WSQ
→ individual supplemental research online or in the textbook before class
→ reviewing and accessing supplementary resources provided by Mrs. Kirch on the blog
→  discussion with classmates about key concepts
→ practice of math concepts through PQs
→ formatively assessing your progress through concept quizzes
→ cumulatively reviewing material through PTs
→ Final Assessment via Unit Test.

Talk through each of the steps given in the following terms:
a. How seriously do you take this step for your learning?  What evidence do you have to support your claim?  Make sure to make reference to all 8 steps.
b. How could you improve your focus and attention on this step to improve your mastery of the material?  What specific next steps would this entail?  Make sure to make reference to all 8 steps.

a) I take the WSQ videos and the WSQ submission very seriously. I make sure I complete this assignment before I do the rest of my homework plus I rarely miss a WSQ submission. I do not take the individual research online or in the textbook very seriously. How do I know this? I forgot that I have a math textbook until right now that I am typing this.I rarely review and access supplementary resources that Mrs. Kirch provides because I usually understand the concept and have no need for this step.As of recently, I have been trying to discuss key concepts with classmates. James Pham, Hieu Nguyen, and I have used our seminar teacher's (Mr. Muniz) whiteboard to practice key concepts like deriving the law of cosines and stuff like that. I take completing PQs very seriously. If I do not do these than I only have basic knowledge and little practice for the consolidation of my understanding of the concept. I take somewhat serious the quizzes. If I get 8's or 5's then I am good with that and I forget about the concept but if I get a 2 on a certain quiz then I take note of that and I try to do better with the PTs. I take completing PTs somewhat serious as well. If I do well on the PQ's and the quizzes then I do not make sure that the PT's are done to the best of my ability. It depends on what I receive as my grade and what concepts I messed up in on the severity of my Unit Test. If I get an A then I know I did well and no longer have to worry about mastering the unit. If I get a lower grade than an A and it was because of small mistakes then I do not worry to much of this. 

b) I do not know how I could improve my focus and attention to the videos and WSQ submissions. I rarely do bad on this. For the individual research, I could actually start doing this. I could take the step of immediately looking up additional information on the internet or in my textbook after the WSQ video is over. Again I could start doing the reviewing and accessing of the resources provided by Mrs. Kirch. I could immediately access these after doing my individual research and then I could review them before the test. I do not think I could improve on discussing with classmates about key concepts (Mr. Muniz's whiteboard markers are getting dry). I do not think I could improve on the PQ's either. I should take the quizzes more seriously and start focusing on the concepts that I do not get an 8. I will review the research I did individually and the research Mrs. Kirch provided. I do not think I have to improve my focus and attention of reviewing through PTs but if I did, I would do all of the PT's quickly and to the best of my ability so that I will be ready for the concepts I did not do well on the quizzes. I could take the Unit Test's more seriously by doing all of the above and correcting them on my own time after I get it back.

3. Reflect on your learning this year thus far by considering the following questions:
a.  How confident do you generally feel on the day of a Unit Test?  Give evidence and specifics to back up your answer.
b.  How well do you feel you have learned the math material this year as compared to your previous years in math? Give evidence to support your claim.
c.  How DEEPLY do you feel you have learned the math material this year as compared to your previous years in math?  Give evidence to support your claim.
d.  Do you normally feel like you understand the WHY behind the math and not just the WHAT/HOW?  Meaning, do you understand why things work, how they are connected to each other, etc, and not just the procedures?  Explain your answer in detail and cite specific evidence from this year.
e. How does your work ethic relate to your performance and success?  What is the value of work ethic in real life?
a) I do not feel anything on the day of a Unit Test. I just go inside the classroom and take the test. To support this I would say that I usually forget that there is a test the day of the test until someone asks me if I am ready for it.

b) I feel I learned the math material as well as I have in my previous years of math. Like in the years before this one, I would learn a concept thoroughly but instead of through a million problems like in Algebra 1, Geometry and Algebra 2, I learn it through videos and half a million problems and making my own videos for the concept. Then the concept fades away until i remember it in a new math problem or test.

c) I do not feel anything about the math material I learned this year as compared to my previous year in math. Evidence = :l

d) Yes I usually understand the Why and not just the What/How. Sometimes I do not understand the why, which is the reason I ask it in a Hot Question the day after I watch the video. The law of cosines, for example, was a concept I did not know why it was true until you told us why in class one day.

e) My performance and success has nothing to do with my work ethic in math. I feel i do not try as hard as I do in my other classes when I am in math. I rarely study for math but I get my best grades there yet I study my hardest for my APChem and APUSH classes but i get my worst grades there. If someone is not successful, usually it is because of laziness. Work ethic is what gets you noticed and rewarded in real life. Drew Brees, the quarterback for the New Orleans Saints, has an outstanding work ethic. He spends most of his time practicing and preparing and planning for a football game. I heard that he even calls his teammates and coaches in the middle of the night asking a question about a certain play or making sure that they are in the same page or just talking about a new idea he got for a play on gameday. He is considered an elite quarterback and it shows by his statistics that he achieved through his respected work ethic. Work ethic is key to success.

WPP 14

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WPP 13

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