Wednesday, March 20, 2013

Blog Post 3

3. Write four of your own Concept 4 problems (one from each level) and solve them. Explain each step.

Blog Post 1

1. Show and explain how to derive the two remaining Pythagorean identities from sin^2(x)+cos^2(x)=1. Make sure to include in the beginning where sin^2(x)+cos^2(x)=1 comes from to begin with (think Unit Circle!).

The reason is that sin^2 + cos^2 = 1 is written differently from cotangent and tangent. So dividing the first equation by sine^2 or cos^2, they will then cancel out. This will then leave you with an answer related to your ratio identities and your reciprocal ratios which as you know will be: 1/cos^2(x) is the same as sec^2(x), 1/sin^2(x) is the same as csc^2(x).

Blog Post 2


2. Chose a Concept 2 problem to solve in two ways: with identities (Unit Q) and with right triangles (Unit N). If you find another way to solve it, include that as well.


Monday, March 18, 2013

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.

The Unit O and P tests were not that difficult to me. However I did struggle with Concepts 6 and 7 on the Unit P test. The Unit O test was fairly easy for me. The matrix however was still tricky for me on the concept review. I studied for the concept O test and that helped me a lot. The worksheets and pq's based upon the concept helped me and the SSS and videos I had watched also helped me a great deal while doing the test.

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.


In the WSQ I will do most of the problems that I deem necessary. I only do supplementary research if required for blog posts. I have touched on some supplementary info that is on the blog. In class, in our group we do discuss concepts that we thought to be difficult. PQ's are really helpful, but kinda tedious as they are lengthy. I do well on quizzes, I make sure that I can get an 8 on the first try. The PT's are a good assessment that I should take seriously, the only reason is because of all the work that is done in the PQ's that I deem them unnecessary.

I need to do my WSQs more earlier than waiting. Supplementary info is always good, I can touch up on a little more info in the future. I can well discuss concepts with my group in class. I need to review what I get wrong on quizzes so that I can apply that problem to future problems. PT's are a good extra help for me. The assessments after the tests when I get it back help me. I can see what I did wrong and compare it to other people's.

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?


I feel generally confident that I can at least pass the tests after rigorous studying with the SSS and the PQ's.

I feel that it is a tougher course than my other math classes, the material that I learn and review based on my previous years show that it is well established. Rather than learning from the textbook and in class we can go at our own pace.

I feel that the content within this math class is very interesting. Compared to other math classes there is more interaction with other students rather than learning by yourself listening to lectures.

Yes, I've seen connections to previous years and the higher level of thinking with other assessments is also a great and new learning experience.

My ethnicity does not really affect my performance other than comparing to other and how they do I feel that I must not let my peers down and work so that I will not be the lowest level in the class.