Student Problem Unit R Concept 3 #3

• What is this problem about?

This problem is about finding the value of an expression without using a calculator. The problem will have a reference to the unit circle to help find the degrees that will give us the point that will help solve the problem. We will be using the sun and difference formula in this question as well.

• What does the viewer need to pay close attention to in order do the problem correctly? 

 The viewer needs to make sure and understand that when it asks, for instance, sinu= -1 and once we find that the point is (0, -1) that we know that cos is the x-value and that sin is the y-value. If the viewer notices in the picture this is how sin and cos is used and with that information we can plug it into the formula and get the correct answer.

Student Problem Unit R Concept 2 #2

• What is this problem about?

This problem is about using the sum and difference formulas when there are given values. We are given the quadrant of the location of the values which determine the signs of the values. Depending the placement of the values will determine if sin, cos, and if tan will be either positive or negative.

• What does the viewer need to pay clsoe attention to in order to do the problem correctly?

The viewer needs to pay attention that in order to find the other side of the triangle we needed to use the Pythagorean Theorem. Once we get an answer we also need to make sure that it is reduced as much as possible. The viewer needs to pay close attention to how the formula is written, if (u+v) is given then we write the formula that starts with u and vice verse.

Student Problem Unit R Concept 1 #1

•  What is this problem about?

This problem is about determining how to find exact values using both sums and differences. In the first picture we took 150+60 to equal is 210 and with the unit circle we were able to find the exact values. Also if you were to subtract it, like in the second picture, we used 240-30 which is 210 and both ways will get you the same answer.

• What does the viewer need to pay close attention to in order to do the problem correctly?

The viewer needs to pay attention that when we add the formula for sin is addition and cos is subtraction. When we take the difference though the signs change making sin be subtraction and cos addition. In addition the answers that are found can be proven by plugging it into the calculator if done correctly both answers should match.

Concept 4 Problems (All 4 Levels)

Solving Concept 2 using Identites and Right Triangles

Deriving Pythagorean Identites from sin^2x+cos^2x=1

Math Aanalysis 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.

In Unit O I did not due as well as I hoped in doing getting a 71% of the test. As for Unit P I did much better, receiving an 89% on the test. For Unit O was hurt me was not fully understanding parts of the 30-60-90 triangles and the 45-45-90 triangles which was my fault for not asking more questions of the parts that I was confused aobut. In the other hand in Unit P I understood the concepts more and took responsibility of learning the material and fully understand it. I managed my time better then
I had previously taking quizzes right when i felt comfortable with the concept. I didn't wait last minute like i did for Unit O. in addition, I asked questions about parts of the word problems that I had trouble understanding.

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 some of the steps more serious than the others I feel that the videos and the SSS packet are the essential part for me to understand the material. I am serious about the other steps as well but I learn and understand the most from the videos and the SSS packet. Whenever I have trouble with a certain part of a problem I either look over the videos and if I seem not to fully understand it still that's when I feel all the other assests help me like the resources provided in the blog. whenever I have trouble I get help from my classmates through the PQ's and at times with the PT. 

B) To improve my understanding of the material I think managing my time is the most important. When I do things where I'm not in a rush I seemed to perform and understand better. finding time for myself to watch the SSS videos and not getting distracted when working on the WSQ and with the blog posts. Asking more questions in class of parts I still don't fully understand will also help me to fully see my mistakes and the thought process I should be taking in order to fully understand everything.


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) When I study and go over every concept the day before of the test I go into the test confident that I will do well. In most of the tests taken throughout the year I was always comfortable enough to feel confident that I will do well on the test. Every time I study i take a couple of the questions in each concept and practice them without looking at my SSS packet and if I get the answer right it makes me feel that I will do well on the test as well.
B) I feel that this year I seem to learn the material better then the previous year as well as remember how to solve it. If I were given a few problems from last year I think I would be able to solve it but probably forget parts of how to begin. This year the constant reviewing allows me to remember it better and not forget it. For instance, the review portions for the tests helps me remember how to solve for material that was learned earlier that year as well as help me remember the formula's used throughout the year. Using songs and chants to remember certain formulas did help me remember the material better.
C) I feel that I have deeply remembered the math material learned this year. It's the first time in a year long math course that I remember what we did in the beginning and middle of the year where if given problems on it I think I would be able to solve it. I can't remember what I first learned at the start of algebra 2, in this class though, I remember all the material, especially when it is brought back in the review sections on the actual tests.
D) Yes, I do think I understand the why part especially when shown examples of how it is used in real life and apply it to real life situations and objects. The math connected all year long from how the distance formula connects to trigonometry. In the unit where we learned ellipses, circles, hyperbolas, and parabolas was when we saw examples of how these shapes are applied to life. For instance, a race-car track is shaped as an ellipse demonstrating  that math is everywhere and connects to everyday things.
E) My work ethic has improved from the start of the year to fully understand the steps I have to take to succeed in this class. I feel that my work ethic demonstrates my understanding and success in the class by my test scores and my wanting to succeed. The value of work ethic in real life is working hard to accomplish your goals and taking every step possible by not giving up and having that state of mind that it is possible and you can do it.