Thursday, November 11, 2010

Looking Back at Chapter 4...

Look over the lessons in Chapter 4. Why do you think the editors of this textbook put all of this material together in one chapter? What connects all of the lessons? Are there any lessons in Chapter 4 that do not fit in the chapter? Also, do you think other lessons could be added to this chapter? If so, which ones, and why? If not, why not?

(Yes, there are many questions to answer here. You will be graded on your ability to produce well-reasoned answers.)

18 comments:

  1. 1) I think the editor thought it had similarities so we should learn it in one lesson. Everybody has different way of thinking.
    2)I don't think the scientific notation have similarities with the other lessons. But, for the other things like GCF, LCM, LCD have a similarity. FIrst the GCF is like LCM but with less numbers. So, if you practice GCF it will be easy on the LCM. LCD is exactly the same as LCM it's just that its using denominators in fractions.
    3)As I said above the scientific notation because I can't think of any way to relate to GCF, LCM, LCD. I think the reason this editor put it in this textbook is because it couldn't fit in other lessons so he put it in one of the lessons.
    4)I don't think there should be more lessons that should be added because this textbook has been researched for a long time by people who studied math for there whole life. Also, there isn't any other lessons who can fit in this lesson far as the things I've learned.

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  2. I think that the editors put all of this material in one lesson in a specific order so that you learn how to do one thing and then you learn something else with the first concept you learned. I don't think that there are any unnecessary concepts that are put into the chapter. The biggest concept that connects all the lessons is that in almost every lesson, except for lesson 8 where you learn the scientific notation, you have to figure out the GCF or the LCM to solve the problem. This is why I think the editors have made this chapter like this. If the lessons were in a different order, you would not know how to figure out the LCM or the GCF when you had to know how in order to solve the problem.

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  3. I think they put this all together because all of these materials are all related to each other. GCF and LCM is connected in this chapter. I think we should learn more about the LCM and the GCF by talking about more ways of solving it. I think solving the LCM was a bit difficult because there was only one way of solving the LCM unlike the more easier way of solving it.

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  4. I think they put this all together because all of these materials are all related to each other. GCF and LCM is connected in this chapter. I think we should learn more about the LCM and the GCF by talking about more ways of solving it. I think solving the LCM was a bit difficult because there was only one way of solving the LCM unlike the more easier way of solving it. The biggest concept or the reason of learning this chapter was mostly because of solving the LCM which was very difficult and important.

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  5. 1* I think they put all of the materials in this chapter because all of them is related to each other.
    2* What connects all of the lessons?
    - As for the GCF, you need to do the prime factorization and need exponents, that is similar to LCM, where you need exponents of numbers in order to solve the problem quickly. To check if your fraction is simplified or not, you use prime factorization in order to help you out. The scientific method uses the negative or positive exponents where you multiply them or divide them which connects to simplifying the fraction. Overall, all of the materials in this chapter is related to each other.
    *3 I dont think there are any lessons that didn't connect with the lesson because somehow GCF,LCM,LCD,Simplifying fractions,Scientific Method are connected together.
    *4 No, I don't think other lessons should be added to the textbook.
    *5 (Don't Need other lessons:)

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  6. I think the editor of the textbook put every lessons in order. Like GCF,LCM,LCD have a common similarity. I don't think the scientific notation goes in to this chapter. It has nothing to do with GCF, LCM or LCD. Scientific notation is just rounding up big number so we won't get confused. GCF is finding the greatest common factor using the prime factorization and same thing with LCM ( Finding the least common Multiples). I don't think any lessons should be added in this chapter because we already know GCF LCM and LCD. But is their LCN? ( Least common numerator )

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  7. LCM, LCD and GCF all go together and are related. Prime factorization is used to solve LCM and GCF problems and so you need to know how to do it. Also, LCM and GCF have the same first step and it is easy to confuse them. I thought the scientific notation didn't really fit in the chapter because it's not really related to anything in the chapter. I don't think anything needs to be added to the chapter because prime factorization is a key part in finding LCM and GCF so it belongs there because you have to know how to do it and master it before going on to LCM, GCH and LCD.

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  8. 1. I think the editor did this because so that if we were confused with a part, then we could learn the part you were confused on again. I also think the editor did this because we can lean a lot of thing in 1 shot.I also think that the editor put this in the book because we could learn the GCF and LCM. Then we could learn scientific Notation next so we could not forget about what we learned because Scientific Notation has GCF and LCM inside. I don't think that the editor put any weird or not placed chapters in the book.

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  9. LCM, LCD and GCF all go together and are related. Prime factorization is used to solve LCM and GCF problems and so you need to know how to do it. Also, LCM and GCF have the same first step and it is easy to confuse them. I thought the scientific notation didn't really fit in the chapter because it's not really related to anything in the chapter. I don't think anything needs to be added to the chapter because prime factorization is a key part in finding LCM and GCF so it belongs there because you have to know how to do it and master it before going on to LCM, GCF and LCD.

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  10. 1. I think there are many lessons in the chapter 4 all together, because there are all similar and if we don' learn prime things in the first time, we don 't get the other problem in the chapter 4. I think there are all connected. So, if we don't learn all of the chapter 4, we can not solve the problem in the other chapter or in the chapter 4.
    2. All of the problem in the chapter 4, there are all connect except the scientific notation. All of the lesson except scientific notation, there are all connect with the prim and LCM, GCF. But the scientific notation, it is not connect with any prime and LCM, GCF. So except scientific notation, it is all connect.
    3. As I said in the number 2, I think scientific notation is not fit with the other lessons.Because scientific notation is not about the prime and LCM,GCF. Scientific notation don't use LCM, GCF.
    4.I t don't think there are no more lessons to add in the chapter 4. Because I think there are no other chapter use the prime, LCM,GCF. and also, I think in the chapter 4, there are all about the prime and LCM,GCF(except scientific notation).So I think the text book want to put the prime,LCM,GCF in the chapter 4 all together. So I think there are no more lessons to add in this chapter.

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  11. 1. I think the editor of this textbook put all this in one chapter because starting off with one thing, you will know another. It all connects after you have finished the chapter.
    2. GCF and LCM is connected in most part of the chapter. Of course, this is my opinion, so I might be wrong.
    3. Scientific notation does not really connect to this chapter To make it fit into the chapter, it should have been related the GCF, LCM, or even LCD.
    4. I don't think you need anything more in the chapter because if the people who thought of putting this into the textbook, is always right. Well, first of all they are the ones who thought of this idea to make the order of chapter 4, and second, in my opinion I just don't think we need anymore things in this chapter,

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  12. I think the editors put all this material together in the chapter because the things we were studying had a similarity: GCF and LCD(LCM) was related to each other. Also, exponents and scientific notation was related with each other. Something that connects all the lessons is: is that it is all about simplifying numbers. I think the exponents don't fit the chapter, because it's not about simplifying stuff. I think maybe simplifying large numbers should be added to the chapter.

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  13. 1) I think the editor of this textbook put all of this material together in one chapter because they are related to each other about multiplying, GCF, LCM, and LCD.
    2) For all of these GCF, LCM and LCD, we need to use prime factorization and divide to simplify the denominators first.
    3) I thought that the scientific notation didn't fit in this lesson because I think that scientific notation doesn't have anything to do with GCF, LCM and LCD.
    4) I don't really think that there should be another lessons could be added to this chapter because it already has everything to do with the GCF, LCM and the LCD and the prime factorization.

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  14. 1. I think the editors put all the lessons in one chapter because they are all related to each other in some way. The editors wouldn't have put GCF together in the same chapter as inequalities.
    2. To solve the GCF, LCM, factoring, positive and negative exponents, monomials, and simplifying fractions you all need to know how to do the prime factorization. I don't think the scientific notation relates much to this chapter.
    3. I think the scientific notation doesn't fit with this chapter because you don't need to know the prime factorization to do scientific notations.
    4. I don't think you need to add anymore lessons to this chapter because the editors of this textbook made it so that when you learn the first thing of the chapter, the second concept would be easier.When you get to the last concept, there is nothing more to learn with all the concepts related to each other, so they start a new chapter. Also, in my opinion I don't there should be anything else.

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  15. I think the editors of this textbook put all this material together in one chapter because they are all somehow related to each other. For example, you need to learn prime factorization before you try to find the GCF or the LCM/LCD. For all the lessons we had to find the prime factorization (except for scientific notation and the lesson about exponents) to find the answer.From 4.6~4.8 we were dealing with negative and positive exponents and simplifying/multiplying/dividing them. I don't think scientific notation fit in as much as the other lessons did but it wasn't completely different, as we learnt about exponents in the lessons before. I don't think other lessons could be added to this chapter because I haven't learnt anything else that has something to do with the topic (prime factorization and exponents). However, I don't really think that there are more things that are directly connected with the topic.

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  16. Why do you think the editors of this textbook put all of this material together in one chapter?
    I think all the lessons like the GCF and the LCM and the LCD are in the common chapter because they are like the same content, but there is different things different subjects they are looking for. For example, what is the GCF and LCM of 4 and 6.
    What connects all of the lessons?
    To answer all the lessons you need to know how to use prime factorization and getting its multiples. I think that scientific notation is a little different because you are only using multiplication and division to answer or solve the problems.
    Are there any lessons in Chapter 4 that do not fit in the chapter?
    I think that scientific notation is a little different because you are only using multiplication and division to answer or solve the problems.
    Also, do you think other lessons could be added to this chapter? If so, which ones, and why?
    If not, why not?
    In my opinion I think that they should not add any more to the chapter because there is already way too many lessons that you would have to learn in the chapter.

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  17. I think the editors of this textbook put all of this material together in one chapter, because probably the sections in the chapter all relates to each other, and is connected to the same lesson. The GCF and the LCM is related, because it both has to do with making denominators equal, and you could tell which fraction is bigger or smaller. You could also solve word problems by using both GCF and LCM. I think the lesson about the scientific method does not fit chapter 4. It has no connections, and cannot be related with other lessons in chapter 4. I think that maybe including a lesson about multiplying squared numbers in parantheseis. That would have something related to GCF and LCM, because in the lessons, we also solve the GCF and the LCM of numbers that are squared.

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  18. I think the editor of this textbook put all of this material together in one chapter because the materials are all related to each other. If you didn't learn a lesson before that, then you would not be able to do the lesson that is after that. The editor made it all connect so that you will not forget the things you learned before and so they would make sense to the reader/student who is using this textbook. For example, without learning the rules of exponents, it would be harder to understand scientific notations because you cannot do scientific notation without learning the basic of it, which is the rules of the exponents. Also, the prime factorization, GCF, LCM, and comparing fractions and mixed numbers are all connected, too. In order to know how to do GCF, LCM, and comparing fractions and mixed numbers, you must know the basic thing which is the prime factorization. To find out the hard questions' solution, you need to have a basic knowledge to know what is the solution to the hard question. The editor of this textbook seemed to consider this problem and might have organized it like this. Though, there seems to be one thing that didn't go along well with others, the simplifying fractions. It's because simplifying fractions are not part of the prime factorizations' group nor is it part of the rules of the exponents' group. I think the simplifying fraction lesson is not related to this chapter and should have been in an another group.

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