Chapter 5 has incorporated concepts from all of the previous chapters. It uses the integer rules from Chapter 2. It adds and subtracts like terms (in fractional form) and solves equations…all based from Chapter 3. It also extends our work with monomials (Chapter 4) by multiplying and dividing them.
As you may have noticed, mathematics is like building a house. You have to have a foundation in order to continue building the next level. If there are foundational gaps, we can sometimes fill them in as we go along, but at other times, these gaps can cause an entire section of the house to collapse.
Answer the following questions in complete sentences. You may do this in three different posts or all in one post.
1) What is the easiest section we have covered thus far in this class? The most difficult? Why?
2) Do you still have foundational gaps in your mathematical knowledge? (aka: Are there concepts that you still do not understand?) If so, what are they? Be honest.
3) Look ahead to Chapter 6. Pick at least two sections and discuss how you think you will need to incorporate knowledge from Chapter 2-5. Be specific.
1) i think that the most difficult section we have learned so far and that was difficult for me was doing the LCD, LCM, GCF for the ones that have variables. However, i think the easiest part of what we have covered is the very first thing and the very first lesson we have learned.
ReplyDelete2) I missed the first part of class while i was in the nurses office, so I don't understand how to make the ongoing decimal into fraction.
3) I think that i am going to be able to understand by thinking of one step equation but there's just another step added to it.
1. I think this chapter was the easiest. Because we learnt all of this in 6th grade (except turning the reapeating decimal into fraction. And my hardest chapter was Chapter 4 because i really got confused with the common factors and least commmon multiple becasue i get the workings all mixed up.
ReplyDelete2. I really don't get the turning the reapeating decimal into the fractions. I rememer the part only when you times the 100x depending on the numbers on the whole number.
3. I think you need to know dividing and multiplying which is obvious and finding out the number of the variable.
1)I think that the section with multiplication was the easiest because with fraction, you simply cross out the numbers that have things in common.
ReplyDelete2)I... think I understand everything... :)
3)I think that 6-1,6-2,and 6-3 can be solved with just a bit of detailed information.
1) What is the easiest section we have covered thus far in this class? The most difficult? Why?
ReplyDeleteI think that this section was to multiply and dividing the fraction, I it is because I learn those in 5th grade. And the most difficult section is the part of changing the decimal to a fraction. The reason is because I thought sometimes the steps was doing those was confusing.
2) Do you still have foundational gaps in your mathematical knowledge? (aka: Are there concepts that you still do not understand?) If so, what are they? Be honest.
Yes If I need to say then the gap will be finding the missing number when they gave me the mean.
3) Look ahead to Chapter 6. Pick at least two sections and discuss how you think you will need to incorporate knowledge from Chapter 2-5. Be specific.
I think for chapter 6 you need to know how to solve the multi step problem. And solving word problems with variables.
1) What is the easiest section we have covered thus far in this class? The most difficult? Why?
ReplyDeleteIn this section, adding and subtracting decimals were the most easiest for me because it was what I had already learned. The on-going decimals were pretty hard for me to convert into fractions.
2) Do you still have foundational gaps in your mathematical knowledge? (aka: Are there concepts that you still do not understand?) If so, what are they? Be honest.
Like 3 days ago, I did not understand how to do the on-going decimals. I decided to go home and try it my self. When I did he section over and solved some questions, I understood!
3) Look ahead to Chapter 6. Pick at least two sections and discuss how you think you will need to incorporate knowledge from Chapter 2-5. Be specific.
I think that 6.2- solving equations with variables in both sides are important because it is something we should obviously know as we live! .. :)
1.) The easiest section was adding and subtracting integers and this was easy because it was simply adding the ones digit the tens and some of the decimal.
ReplyDelete2.) I think i understand most of the concepts.
3.) In my perspective, chapter 6 section 1 requires how to add integers with variables, dividing, how to combine like terms, and using the distributive property. In section 2 of chapter 6, it requires to collect like terms, how to set up an equation, and using the distributive property.
1) I think adding and subtracting decimals were the easiest part in this section because these are same as adding and subtracting numbers except that it contains decimals. The hardest part of this section was changing repeating decimals into fractions.
ReplyDelete2) I don't understand changing repeating decimals into fractions,, :D
3) I think you need to understand how to add, subtract, multiply, and divide fractions and decimals :b
1. In my opinion, I think the addition and the subtraction of decimal was the easiest because there are no differences except there is a decimal point.
ReplyDelete2. I do understand them but I sometimes get the questions from CH. 5 wrong. Don't know why :)
3. I think the begging sections of chapter 6 are able to be solved by just a little bit of knowledge of them.
1) I think that the easiest chapter was the multiplication section because we didn't have to find the LCD for the fractions which we have to do for adding fractions
ReplyDelete2) I sort of don't understand if we are allowed to simply fraction with a variable on the numerator or denominator for example 10x/20 can it be 1x/2 ?
3) I think that we obviously need to just do the one-step equations for Chapter 6^^
THIS WAS POSTED BY NICK
1.) The easiest section was adding and subtracting integers and this was easy because it was simply adding the ones digit the tens and some of the decimal. The most difficult section was finding the mean, median, mode, and range of the fractions not the whole numbers. This is because adding and subtracting fractions require GCF of the denominators of the fractions.
ReplyDelete2.) I think i understand most of the concepts.
3.) In my perspective, chapter 6 section 1 requires how to add integers with variables, dividing, how to combine like terms, and using the distributive property. In section 2 of chapter 6, it requires to collect like terms, how to set up an equation, and using the distributive property.
1. I think that the easiest was multipliying fractions because I like working with fractions and multipliying them because it is easy to simplifly and multiply.
ReplyDelete2. I do not have unknown concept but I make a lot of mistakes so I get answers wrong.
3. Two sections in chapter 6 are Solving multistep equations and solving equations with fractions and decimals. These two sections take part from the chapters before, such as working with fractions and multiplying and dividing. Also, solving multistep equations takes part in chapters before because we learned how to get the answer for a variable and this is what we will do in section 1.
1) What is the easiest section we have covered thus far in this class? The most difficult? Why?
ReplyDeleteIn my opinion the easiest section we coverend in class would be multiplying and dividing fractions. The most hardest would be changing the everlasting equations into a fractions.
2) Do you still have foundational gaps in your mathematical knowledge? (aka: Are there concepts that you still do not understand?) If so, what are they? Be honest.
I think that I would like to review the section with fractions that have just numbers on the numerator and that have a number and a letter for the denominator.
3) Look ahead to Chapter 6. Pick at least two sections and discuss how you think you will need to incorporate knowledge from Chapter 2-5. Be specific.
Maybe we could work on inequalities and like the section that has a number and a letter that we have to subtract from eachother.
1. I think the easiest that we covered was prime factorization. It was easy because we just had to factor the number. On the other hand, the hardest for me was finding LCM, because it was easy to make mistakes on it.
ReplyDelete2. Few days ago, after the quiz I was confused about multiplying fractions that has variables. I didn't know which one to simplify at the end, so even though I figured out the answer when I went home and looked at the textbook, I was confused on that part.
3. 6.3:Solving equations Involving Fractions and Decimals
-I think this will be important because it is quite different type of equation compared to what we learned in the previous chapters. When learning this section, we should use what we learned about solving equations and also multiplying, dividing, adding, and subtraction fractions or decimals.
6.5:Solving multi-step inequalities
-For this section, it is important because we are able to use the information from the chapter that we covered inequalities.
1. What is the easiest section we have covered thus far in this class? The most difficult? Why?
ReplyDelete- I think the easiest section to me was multiplying and dividing fractions.
2. Do you still have foundational gaps in your mathematical knowledge?
- I make a lot of subtracting mistake and I don't read the word problems carefully. I think I understand most of the concept.
3. Look ahead to Chapter 6. Pick at least two sections and discuss how you think you will need to incorporate knowledge from Chapter 2-5.
- From Chapter 6, I think 6.1 and 6.2 requires the knowledge from Chapter 2-5.
I think the easiest section was adding and subtracting, multiplying and dividing was the easiest section because I had already learned that and I grasped the concept well. I still don't get how to solve questions that say find the meter per second or something. (It was on the test). In the section solving multi-step problems, you could incorporate what we learned about monomials, distributive property and variables etc. to solve these multi-step problems, as shown on page 293 and 294. Also when you solve equations with variables on both sides we did the same thing with fractions so we can apply the same skills.
ReplyDelete1) I think dividing decimal was easiest for me. The most hardest part for me was to get LCM,GCF. It was kind of complicated.
ReplyDelete2) I missed part to how to make decimal with bar notation to fraction. Because I was doing work on other section and I was slow at solving
3)I think 6.2 Solving Equations with variables in both sides covers chapter 2-5. You have to use the variable method. (ex. -,+,/,x in two sides) and 6.3 is almost same as what we covered from beginning of school.
1) I think the easiest section we have covered in this class is working with fractions, such as adding and subtracting. Because we all already have worked with fractions in previous grades, we have a basic comprehension of it. I think the most difficult section we learned was converting fraction into decimal, because the answers for decimals were sometimes non-terminating.
ReplyDelete2) I believe I don't have many foundational gaps in my knowledge.
3) From my viewpoint, I think we should definitely know how to handle problems with distributive property. Also, we should know how to add, subtract, multiply and divide integers. For instance, we should know how to add and subtract integers with an apprehension of polygons, such as area and perimeter.
1) The easiest section for me was the section when we had to make a fraction as a decimal. After all, it was a review, and I knew it quite well already. However, the most difficult section was when we had to make a repeating decimal a fraction. The steps sounded easy, but it was sort of hard to remember how to do it.
ReplyDelete2) I feel like I can't put in negatives properly (In fractions). Basically, I have negative sign problems. I feel hesitant whether if i have to put the sign or not when there is a negative number in the fraction.
3) For 6.2 and 6.3, I feel like we can use our knowledge from Chapters 2-5. We learned about variables and equations. Secion 6.2 is about solving equations with variables on both sides. We did some problems like those, but it might be more difficult. Section 6.3 is about solving equations involving Fractions and Decimals. We just learned about Fractions and Decimals, so we can be using our knowledge from there.
For chapter 6, we needed to know how to solve some multi step problem- ex: 2x=6/2 (erase 2!) and to solve word problems with variables in the section 5
ReplyDelete1. What is the easiest section we have covered thus far in this class? The most difficult? Why?
ReplyDeleteThe easiest section was subtracting and adding decimals because it is just matching up the decimals and subtracting and adding. The most difficult was writing repeating decimals as fractions. It confused me how to subtract x.
2. Do you still have foundational gaps in you mathematical knowledge? If so, what are they?
I don't really get the concept of converting decimals to fractions. Expecially repeating decimals. I get confused when subtracting x from 10x,100x,1000x...
3. Pick at least two sections and discuss how you think you will need to incorporate knowlege from Ch. 2~5.
In section 6.1, we need to know how to divide integers.
In section 6.2 , we need to know like terms
1. I think the easiest section was multiplying and dividing fractions. This is because unlike adding or subtracting fractions, you don't need to have common denominators. The most difficult part was changing the fraction into a decimal or the other way around. It was hard because I had to be really careful in dividing.
ReplyDelete2. For me, long divisions with big numbers are difficult because it's tedious...
3. I think it's important to know how to add, subtract, multiply, divide integers from 6.1 and from 6.2 it's important to solve problems that have the equality sign in the middle by canceling out terms to isolate the variable.