The sections on Mixtures and Work simply add one or two steps from your previous knowledge from Chapters 3 and 4. Answer the following questions to help you address your issues with these types of problems.
1) Are mixture problems difficult to set up in a chart? Why or why not? Will you always need an extra 3rd row in your chart?
2) Are work problems difficult to set up in a chart? Why or why not? What things do you always have to remember for these types of problems?
3) For mixture problems, we usually use decimals. For work problems, we use fractions. Which one is more difficult for you to solve? Why?
1) Sometimes it is hard to set up a chart because I don't know what to label the columns. I do need an extra 3rd row in charts because in mixture problems I need to include the original, the substance added or taken away, and the total mixture.
ReplyDelete2) Work problems are easier to set up in a chart because it's basically the same thing with every problem. I just need to remember the formula (work rate)x(time)=(work done) and that the work rate is always a fraction and that the total work done should be 1.
3)Mixture problems are harder to solve because I prefer fractions to decimals.
1) Are mixture problems difficult to set up in a chart? Why or why not? Will you always need an extra 3rd row in your chart?
ReplyDeleteI think the hard things is to label the right words in the columns. I always need an extra 3rd row in mixture problems because I need to put original, added or subtracted, and the total mixture.
2) Are work problems difficult to set up in a chart? Why or why not? What things do you always have to remember for these types of problems?
I think work problems are easier than the mixture problems because the problems are all the same. The things that I have to remember is that work rate is always fraction and the formula for work which is (Work rate) x (Time) = (Work done) and lastly, the total amount of work being done is always 1.
3) For mixture problems, we usually use decimals. For work problems, we use fractions. Which one is more difficult for you to solve? Why?
I think mixture problems are harder since it does not have a formula like work problems. I think decimals are easier to use because we only need to time by 10 or 100 to get rid of the decimals. In other hand, we have to time variety of numbers to get rid of the numerator.
1) Are mixture problems difficult to set up in a chart? Why or why not? Will you always need an extra 3rd row in your chart?
ReplyDeleteYes the mixture problems were difficult to set up in a chart because I always use mental math to solve these. I believe that I will need to set an extra 3rd row in my chart because I am not very good at it. So until I could get used to it I will be planning to have an extra 3rd row.
2) Are work problems difficult to set up in a chart? Why or why not? What things do you always have to remember for these types of problems?
Yes as I said that is the part that I must work on to improve and I hope to always remember the basic formula automatically like Work Rate x Time= Work Done
3) For mixture problems, we usually use decimals. For work problems, we use fractions. Which one is more difficult for you to solve? Why?
I think the mixture problem is the toughest problem I ever struggled in math that I have learned. It is not only giving me hard time thinking but also hard time translating the word problem into numbers and equations.
1) Are mixture problems difficult to set up in a chart? Why or why not? Will you always need an extra 3rd row in your chart?
ReplyDeleteMixture problems are difficult to set up in a chart because it is hard to figure out what to put in the blank boxes on the chart after reading the word problem. An extra 3rd row is always needed to calculate the total amount of the object to find the mixture.
2) Are work problems difficult to set up in a chart? Why or why not? What things do you always have to remember for these types of problems?
Work problems are easier to set up in a chart because it is set up the same way, unlike the mixed problems. I always have to remember the formula: Work Rate x Time = Work Done. I also have to remember that the total amount of work being done is one and that work rate should always be expressed in a fraction.
3) For mixture problems, we usually use decimals. For work problems, we use fractions. Which one is more difficult for you to solve? Why?
Work problems are more difficult for me to solve, if it is only based on whether we are using decimals or fractions because decimals are easier for me in this situation. Sometimes, I get confused when working with fractions.
1) Mixture problems are hard to set up in charts. There is a variety of mixture problems that ask you to solve for different unknowns which means sometimes the charts are set up and labeled differently. Also, knowing where and how to write the information itself in the chart is also difficult. 3 rows are needed to write in the original, added or subtracted amount, and the new mixture.
ReplyDelete2) Work problems are easier to set up because you only need to remember the formula Work Rate x Time = Work Done and then plug the numbers into the formula. This means all the problems are set up pretty much the same way.In these kind of problems, I just need to remember the formula used to solve the problem and that the total work done is always one.
3)Work problems are easier to set up but using decimals for the mixture problems is still easier for me. For the work problems, you have to use fractions and sometimes, you have to find the LCD before adding the fractions. This makes the solving process longer and make isolating the variable more complicated.
1) Are mixture problems difficult to set up in a chart? Why or why not? Will you always need an extra 3rd row in your chart?
ReplyDeleteMixture problems are not difficult to set up in a chart, but they take time away because I could work without the chart. And setting up in a chart aren't hard because things I need to fill in the chart with aren't hard. For example, for water I can just put 0%, for 100% acid I can just 1 and just x in the unknown.
2) Are work problems difficult to set up in a chart? Why or why not? What things do you always have to remember for these types of problems?
Work problems are not too hard to set up in a chart but using it to actually solve the problem may be confusing. It's not too hard because for the total I can just put 1. I think the things I always have to remember for these types of problems are things like how the work done is always 1 and how to find work rate.
3) For mixture problems, we usually use decimals. For work problems, we use fractions. Which one is more difficult for you to solve? Why?
I think decimals it more difficult to solve for me because for fractions, I can simplify with the denominator first, multiply than divide, or even simplify the fraction itself. But for decimals, you actually have to multiply them. Which can be harder. (EX: 3/5*15 and 0.6*15)
1) Are mixture problems difficult to set up in a chart? Why or why not? Will you always need an extra 3rd row in your chart?
ReplyDeleteNo, mixture problems are not difficult to set up in a chart, the word problems as to which numbers to put in each column. Yes, you do need a 3rd row because you have your original, substance added or subtracted, and then the new total mixture.
2) Are work problems difficult to set up in a chart? Why or why not? What things do you always have to remember for these types of problems?
I think work problems are harder especially problems where they say it takes this much when these two people work together. I find that sort of confusing and I don't know what to put in each column. Something I would have to remember is the formula Work Rate x Work Time= Work Done, and that the total work done will always equal 1, and the work rate should always be expressed as a fraction.
3) For mixture problems, we usually use decimals. For work problems, we use fractions. Which one is more difficult for you to solve? Why?
I think mixture problems are just easier to set up the chart, but I think work problems are more easier when it comes to solving the equation. I think decimals are harder for me. For fractions, you can multiply each side of the equation by the LCD and you cancel out the denominators, and it becomes very simple after that. Whereas for decimals, you either have to multiply by 10 or 100 and sometimes the numbers get really big. In other cases, you just have to calculate the decimals and numbers, and it's easier for me to make a calculation mistake.
1) Mixture problems are sometimes slightly tricky to set up in a chart because the label for each column differs according to the type of the mixture problem (ex. cost, solution). I will always need three rows because they are needed for the original, the changed substance, and the mixture.
ReplyDelete2) Work problems are easier because the labels are always fixed - rate, time, and work done. However, the wording can be tricky in some problems. I have to remember that if the work is done, the equation will equal one.
3) Mixture problems are more difficult to solve, because I dislike working with decimals. Even if I get rid of the decimal, the number usually turns out to be very big and it takes some time to calculate. For fractions, cross-simplifying is possible, which makes the calculation much easier.
1) Are mixture problems difficult to set up in a chart? Why or why not? Will you always need an extra 3rd row in your chart?
ReplyDeleteMixture problems are difficult to set up in a chart because I sometimes do not know how to label each box. I will always need an extra 3rd row to show the mixed amount.
2) Are work problems difficult to set up in a chart? Why or why not? What things do you always have to remember for these types of problems?
Work problems are not difficult to set up in a chart because it has fixed formula. However, I have to remember that work rate is always in fraction and when I add the work done, it equals to 1.
3) For mixture problems, we usually use decimals. For work problems, we use fractions. Which one is more difficult for you to solve? Why?
Mixture problems with decimals are slightly more difficult to solve because I need to multiply by powers of 10 to get rid of the decimals. I might forget to increase all numbers by the same amount. So, it is easier for me to make mistakes.
1) Mixture problems are sometimes difficult to set up because you need to understand the problem thoroughly. This is sometimes hard to do because the wording of the problem is sometimes difficult to understand. I think of filling in the blanks of the chart when I am stuck and carefully fill one block at a time according to the word problem.
ReplyDelete2) Work problems are not that difficult as there is one and only formula. If you just understand this formula and are able to plug it in in different work problems and understand it, work problems will not be a big bother to you. However, you need to remember some of the basics which are that rate of work will always be in a fraction form and that the equation will always equal 1.
3) I think that mixture problems are a bit harder because you need to multiply a certain power of ten and I sometimes forget to multiply other numbers that need to be multiply and leave them be. This causes an absolute change in the equation and you are not able to get the correct answer. I seem to make more mistakes in mixture problems as there are more numbers and a variety of equations.
1) Are mixture problems difficult to set up in a chart? Why or why not? Will you always need an extra 3rd row in your chart?
ReplyDeleteI think that setting up charts are not difficult because there are three repeating things: total amount, % of the new substance, and amount of the new substance. I think that setting up the chart is the easier part of the problem compared to actually solving.
2) Are work problems difficult to set up in a chart? Why or why not? What things do you always have to remember for these types of problems?
Work problems have a really simple formula and set-up, so it is easy to make charts for word problems. The formula will alaways be (work rate) * (time worked) = (total work done). Total work done will always equal 1. Work rate is usually a fraction. As long as you remember that, setting up the work problem will be easy.
3) For mixture problems, we usually use decimals. For work problems, we use fractions. Which one is more difficult for you to solve? Why?
This is because in mixture problems, we work with percents in one column. These convert to decimals, which we would use in our equasion. On the other hand, work problems start with fractions (work rate), so they use the fractions in the final equasion. None is the easier to solve. The decimals make the numbers very large, so it is hard to divide without making an error somewhere. The fractions make it confusing, since you might end up with a weird fraction and you have no way of checking your answer.
1) Are mixture problems difficult to set up in a chart? Why or why not? Will you always need an extra 3rd row in your chart?
ReplyDelete-Mixture problems are difficult to set up in a chart because I do not know how to set the numbers in the right column or right form. Yes, because mixture charts include original amount, amount added or subtracted, and total amount.
2) Are work problems difficult to set up in a chart? Why or why not? What things do you always have to remember for these types of problems?
-Work problems are not difficult to set up in a chart, because the formula for this chart is work rate* time=work done. You have to remember that the work rate should always be a fraction for the fractions to add up into 1.
3) For mixture problems, we usually use decimals. For work problems, we use fractions. Which one is more difficult for you to solve? Why?
-Mixture problems are more difficult, becausewe need to multiply 10 to get rid of decimals, and inserting the numbers into the chart itself is challenging for me.
Mixture problems are sort of hard to set up in a chart because it is sometimes confusing to know what to label the chart. You always need an extra 3rd row in your chart because mixture charts require a row for the original, amount added or took out, and the mixture.
ReplyDeleteWork problems are easy to set charts because it requires less work than the mixture problem. Also, since I memorized the formula for the work (work rate * time = work), I can make work charts easily. When solving work problems, I need to remember that work always equals 1 and that the work rate is always in fraction.
The mixture problem is harder for me because I am better at fractions than decimals. Also, I can make work charts easier and faster than mixture charts. I can work faster on fractions. Work problems are not that complicated like a mixture problem.
1) Are mixture problems difficult to set up in a chart? Why or why not? Will you always need an extra 3rd row in your chart?
ReplyDelete- In order to set up a chart to solve a word problem,you need to understand the problem by heart which makes it difficult.
2) Are work problems difficult to set up in a chart? Why or why not? What things do you always have to remember for these types of problems?
- Work problems are easier to solve than word problems because it has certain formula you need to use to solve the problems. When solving these problems, you need to remember to put the work rate into fractions.
3) For mixture problems, we usually use decimals. For work problems, we use fractions. Which one is more difficult for you to solve? Why?
- I think mixture problems where we usually use decimals are harder to solve because you need to multiply the decimals by the powers of 10. The numbers might get really big making it difficult to solve.
1)Mixture charts aren't very hard at all. As long as one grasps the concept and the method of how to use mixture charts, it will be only calculation. In my opinion, you will always need a 3rd row because in mixtures there are at least 2 rows plus the mixture row.
ReplyDelete2)Like mixture charts, solving word problems is only a matter of understanding the word problem and knowing how to answer it.
3)I have more difficulties with mixture problems because I'm more accustomed to using fractions rather than decimals and in addition using fractions are easier for me. Also I have had more practice using work word problems than mixture problems.
1) Are mixture problems difficult to set up in a chart? Why or why not? Will you always need an extra 3rd row in your chart?
ReplyDelete-I do think mixture problems are difficult to set up in a chart because you will have to understand the whole meaning of the problem. If you cannot comprehend the problem very well, you will have a hard time filling out the chart to answer the question which will take a long time and will have to skip the problem. And I do think mixture problems need an extra 3rd row because of the mixture between the original and the amount of the new material.
2) Are work problems difficult to set up in a chart? Why or why not? What things do you always have to remember for these types of problems?
-I think work problems are easier than mixture problems because there is a specific formula for solving a "work done" problem. You will have to know that the work done is always 1 and that the work rate is mostly (always) a fraction.
3) For mixture problems, we usually use decimals. For work problems, we use fractions. Which one is more difficult for you to solve? Why?
-I think mixture problems are more difficult to solve because decimals are more confusing than fractions for me. Also in mixture problems, there are 3 rows so you will need more informations on your chart which will be confusing. In addition, solving work problems are easier for me.
1) Are mixture problems difficult to set up in a chart? Why or why not? Will you always need an extra 3rd row in your chart?
ReplyDeleteMixture problems I think were not so difficult, however, they were not easy either. Sometimes I dont know what to write down for the columns. Yes we do need a third row because this is mixture and the problems give two kinds of different things and you need to solve the mix.
2) Are work problems difficult to set up in a chart? Why or why not? What things do you always have to remember for these types of problems?
I think that work problems are fairly easy because it uses the formula rate x time = work done. I also know that what ever it is the total amount is 1. However, I sometimes do mistakes such as calculation mistakes.
3) For mixture problems, we usually use decimals. For work problems, we use fractions. Which one is more difficult for you to solve? Why?
I think that decimals are harder because for fractions we can always cross and take things out. Decimals are sometimes large and gets confusing. The fact I have to times it by 10 or 100 or 10000 makes it confusing and frustrating. Fractions are clean and they do not make me confused.