Monday, March 15, 2010

Looking back at Chapter 7...

Look over the lessons in Chapter 7. 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 7 that do not fit in the chapter? Where should they go instead? 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.)

14 comments:

  1. I think the editors of this textbook put all these sections together into one chapter because they thought it would be easiest to teach related concepts at the same time (applying what you learn into the next one), than to separate them and make the students go back and forth in concepts. The idea of using fractions (as stated at the front page of chapter 7), is what connects all these sections together. Whether the fractions are directly used or not, there is a way the fractions relate to all these sections. Fractions can be used to solve a problem, or set up a problem. I don't think there are any sections that don't belong in this chapter, because all of them look related to me. I can see other sections in the textbook that can be added to chapter 7, however I think since those lessons can be categorized in differently, it would be best to leave chapter 7 the way it is. Adding lessons could make chapter 7 a bigger burden on the students.

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  2. I think the editors put them together because they all are related to fractions and decimals, not whole numbers. Specifically, they are all different and out of place, but if I look at them generally, they all deal with numbers that are not whole. I don't think that any of them is not fitting in this chapter, because their general concept is the same. Ratio deals with numbers that add up to make something whole, fractional equations are basically working with fractions, percents are similar to decimals, so are work and mixture problems.

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  3. I think all of this material were put together in chapter 7 because the problems all use fractions in one way or some other creative way. Using fractions in various ways connects all of the lessons. 7-7 Mixture problems didn't fit in the chapter because using fractions wasn't the main focus point. Lesson 7 of chapter 7 should go to chapter 4 (near the final lessons of chapter 4) because this lesson focused on using charts to solve problems. I don't think other lessons could be added to this chapter because other chapters had lessons that fit that particular chapter the best.

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  4. I think the editors of this textbook put all of this material in one chapter to make us learn mixture of things (just the concepts) to prepare for Algebra 2. I think nothing connects all of the lessons... ratio, exponents, fractions, work... I don't know if these fits in other chapters, either. I think this chapter is everything that does not fit to other chapters.

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  5. Anonymous = Brian B

    1. I would guess the editors of this textbook put all of this material together to prepare us more for chapter 8 and the more difficult chapters. I think

    2. I think decimals, fractions, percents, and the variables connect all the lessons because in this chapter we had decimals, fractions, percents, and variables to solve.

    3 (and 4 because there is nothing really that does not fit in the chapter). Although scientific notation seems out of the blue, they actually fit in. Its just decimals, fractions, and percents that are just too large. We just break down the big numbers into pieces so that we don't have to write 23 zeros.

    5. I can't really think of any lesson that goes in the chapter but maybe a bit more charting lessons? Because we had charting in a couple of the previous chapters, the chart problems could be in the 7th chapter instead of one of the previous chapters.

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  6. I think that the editors put all of the materials together in one chapter because all the sections are connected to each other. I also think they put all of them together because most of the individual sections do not fit in any other chapters. -_-

    The lessons in Chapter 7 include ratios, proportions, fractional equations, percents, mixture and work problems, negative exponents, and scientific notation. In order to solve fractional equations, you needed to learn how ratios and proportions worked so you could do processes such as getting rid of fractions and cross multiplying. Percent problems are similar to fractions, just that the problems are put in decimal/percent form. You needed to know the concept of percents in order to solve mixture and work problems, as well as knowing how to use charts. Although exponent problems are a little off topic from the other topics in Chapter 7, the two sections are related to each other. You needed to know both positive and negative exponents for scientific notation.

    I think that sections 3 and 4 should be moved to Chapter 6 because they mainly focus on fractional equations and Chapter 6 focuses on chapters.

    I'm not a math teacher, so I don't really know what kind of lessons there are in a math textbook. However, I think that there should be a lesson focusing on relating proportions to geometry, such as the proportions of one figure to another, those kinds of things.

    - Wonjune the Wonton

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  7. I think the editors put all of this material together in one chapter to prepare us for the following chapters, as well as geometry and future math classes.

    I think what connects all these lessons is that they all have something to do with FRACTIONS. :DD

    I think that mixture problems doesn't fit with the chapter because it creates charts.

    OH YAH. Those... work problems don't fit with these either.

    :D

    I think those work and mixture problems should have fit into that chart chapter, chapter.... 4? :D yah i think that's right.

    I don't think any other topics should be added to this chapter because us students have a life too ): and it's just too much. Actually, it's not a lot, but still,... It takes a lot of work and time out of our lives... Well.. I guess I'm wrong cause you can fit it into your schedule... And you're just preparing us for highschool...
    LOL. uhhh. ... . .. . . .. . .
    So no, I don't think that other lessons should be added to this chapter because it's confusing enough!!!!!

    * note: not written in frustration. :D

    -Jane Yo.

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  8. I think the editors of this textbook put all of this material together in one chapter because it's easier to learn related concepts one at a time. Applying fractions is the main lesson for this chapter, which I think is what connects all of these lessons together. I'm not sure why the scientific notation is added in this chapter but I can't think of any other chapter it belongs to. I don't think there are any other sections that needs to be added in chapter 7 because they already relate to the chapter they belong in.

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  9. I think the editors of this textbook put all these sections together in one chapter because it would have been the easiest way for the students to not be confused and learn it in related sections. To explain this the first thing we learned it was Ratios then Proportions. These relate because mostly if we do not know ratios we cannot solve proportions and then we learned Equations with fractional coefficients which need both ratios and proportions Then we learned fractional equations which need the previous section to boost us up for this and then we learned Percents which were included a bit on ration and proportions but a bit different section from the rest. THen we learned Percent problems which also has to do with the previous one 'percent' then we learned mixture problems which had word problems that included the percents. which we needed to solve for the chart questions then it was on to work problems another world problem section and then on to negative exponents and scientific notation. I think scientific notation doesn't have much to do with this chapter but it did relate a bit with negative exponents which helped us solve the scientific notation problems. I think leaving the chapter like this is ok since its easier for us to learn like this with the word problems mixed into one section.

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  10. I think editors of this textbook put all of this material together in one chapter because simplifying and scientific notation requires fraction, fractional equations, and percents too. Something that connects all the lesson is decimal and fraction. I sort of think Mixture Word problem didn't fit. It was just going back to chart and make a equation. It is only there because it contains fraction and decimal. I don't really think other section because all the section we learned are on the right chapters. All the chapters are like a stairs. After chapter 1, to solve questions in chapter 2, you need to use something that we learned in chapter 1.

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  11. The editors put all these sections together because, all the parts of Chapter 7 all build up (?), and they all are related into fractions and decimals, its like chapter 7 is a Topic and all the other things are like Sub topics. Ratios and porportions do not relate because they don't really have so much of Fraction and decimals, i think they belong in some other chapter.
    honestly, i dont see how it could be improved... we have to do it anywayse....

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  12. I think the editors of the textbook put all of this in one chapter because all these require ratios, fractions, and percents to solve the questions. Something that connects the materials are the ratios and percents. I don't think negative exponents belong in this chapter because it deals with real numbers, so it should go to chapter 2

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  13. Because it is connected to some kind of source. Maybe since we learnt about using fractions, decimals, and scientific notations, we might be training using fractions and applying them to problems with big numbers or problems with only fractions. Also, the name of the chapter is "Applying Fractions". So we can see that this chapter is a lot about using and applying fractions. I think that the mixture problems and the work problems are the least related to this chapter. Even thought the work rate needs to be in a fraction, I think its not that related to this lesson. I think instead of the Work and the Mixture problems, there should be working on problems with variables in fraction form. For example, a Question could be like (3x/x-y)+(4y/x+y)=(12/x+y) or something like that. So on these problems, the students can learn how to solve algebraic problems within fraction forms.

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  14. I think editors put all these section in one chapter because they are all related in multiplication, division, and fraction. I don't think there is any section that should be added or removed because they are all related to each other sections, however there aren't any sections that are closely related to the chapter.
    Sukwon.

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