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Overcoming Challenges

Math is really challenging. But, overcoming those challenges is the fun(sorta) part of math. In chapter nine, which was mainly focused on solving and graphing quadratic equations, I had three struggles. One of which was keeping up with the learning journal every night. I think that this was a real challenge for me because I have so much to do homework wise and house chores that I completely forget about the learning journal. Also, when I was done with the homework I just wanted to relax. I fell short in overcoming this challenge because I still never remembered to add my responses in the LJ. My second challenge was being able to graph quadratic equations using all of the extra things like the a.o.s and the roots. I feel like this was something that was hard for me because it was very extra and if I didn’t have the formulas I wouldn’t understand how to do it. I slightly overcame this challenge because I made a conscious effort to study and make sense of all of the extra stuff. I did so…
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Chapter 9 - Lessons 1-3 Reflection

For 9.1, the goal of The lesson was to be able to use a table to graph the equation ax.2+c. I think that I reach this goal in the medium range because it was it wasn't that hard to grasp the concept of graphing this equation but it was a little challenging. And in terms of effort to achieving this goal, I put in a great deal of effort because I was really interested in seeing how well I could grasp the concept. In 9.2, something that was really confusing for me in this lesson was funny I would P was and how to use it properly in the function. I think that this was challenging for me because using P in an equation was something that was really new to all of us and I feel that it was really sweet of challenging and confusing for me to introduce this new 9.3, a question that I have about solving quadratic equations by graphing, is why and how are there four points now instead of three? I think this is a question for me because in all of the lessons before 9.3, there have …

Small Groups and Keeping Up

In doing the small group tasks in class, I think that it was really effective in getting introduced the topic because it was like you didn’t even realize that you were learning a new topic. I think that not really getting direct instructions from Mr.Bernstein on how to complete the task was really effective in the way that it made us really think about what we were doing. Having these small groups to work in is a really good way for all of us to share what we think we need to do and how to do it. We talk about the topic and we engage with each other about what we’re supposed to do. I think that having these small groups does help me connect more to the learning topic because I can be more active in my learning and I can try to understand it in the way that I know how, before I am actually taught the topic. The learning journal wasn’t that effective for me because to me it was basically just more and more practice problems. I don’t think that it was that effective because it didn’t hel…

Exponents and I

Exponents are cool. Sorta. Exponents and I have no problem with each other but I didn’t expect him to be so...small and shy. He might be small but he makes huge numbers! Some of the new things that I’ve learned about exponents in this chapter, which was full of and only of exponents, was all of the new ways in which I could use them. Before this chapter, I thought that exponents only had one function. I thought that they could only be used in one way. Now I know that exponents have so many uses that it makes it hard to keep up with them all. I think that the skill that I’m most confident in applying in the next chapter is the zero exponent rule because it's the easiest rule to remember and because of that it is easy to apply.

The Struggle is Real

Chapter 7, which was dealing with exponents and exponential function, was SUPER hard. I don’t think it was hard because I didn’t put enough effort into it(I did, don’t worry), I think it was hard because of the concepts that we were dealing with. I know that a lot of people had a hard time with this chapter because of the concepts also. At the beginning of the chapter, everything was fine, it was just moving forward to the end of the chapter was the hardest. Some of the hardest things for me to grasp was simplifying an expression that involved products and quotients. I think that these are the hardest things for me to do because they deal with all of the things that I have done, COMBINED!! But despite these challenges, the most easiest thing for me to do was the zero exponent rule of course. I will use these to assess what I know the least of and study those mostly.

Combining and Graphing

So. Chapter six was...challenging(in the good way!) to say the least. It was mostly challenging at the beginning because I didn't really understand anything that I was doing and it was really confusing. But, I feel that my strongest skill was combining like terms. I think that this was my strongest skill because it was the skill that I had the most easiest time grasping and putting into action. I think that combining negative terms with positive terms was the hardest thing that I had come upon with combining like terms because doing things with positives and negatives really confuses me.
One of the most challenging aspects for me in chapter six was graphing. Ahhhh graphing. I think that this was one of the most challenging things in chapter six because it was the first thing we did and it was really confusing because I had never graphed a system before and I had no idea as to what I was doing. It was also really challenging because I had to refresh my memory on the different ways …

Sketch-notes and Substitution

I have been trying out a new method of taking notes this quarter and it's been really fun and...sort of freeing in a way. This new method of note-taking is called sketchnoting. Sketchnotes are simply put, notes that you can draw and/or be creative with. An advantage of this note-taking system is that I can really be free with my notes and my process and not really feel like I'm constrained with one specific way to do things because I can change things up at any time. A disadvantage of this type of note-taking though, is the inability to know if you're going to get enough information because you might be caught up in making your notes pretty instead of functional.

A struggle that I faced in Chapter 6 is learning to solve linear systems by substitution. I think this was very hard for me to learn because I've never done anything like that before and the easier things came after this which sort of made up for the struggles.