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. The easiest section was the order of operations because they are like the alphabet in pre-algebra. The hardest was changing the fraction to a decimal because dividing the numbers took too much time.
ReplyDelete2. Honestly, I don't have any foundational gaps. I'm not trying to brag or anything, but still, I understand everything we learned.
3. Solving multistep equations (order of operations)
Solving equations involving fractions and decimals (chapter 5)
My easiest section that we have covered thus far in this class was adding and subtracking decimals and the most difficult section(most confusing section) was when marking the inequailites. I don't really have a part i didn't understand or a section I don't know. In 6.1 solving Multi-step equations,I can incorporate knowledge from chapter 2-5 because it is talking about equations and variables. Another lesson I can incoporate knowledge is 6.2 Solving Equations with Variables on both side because in this section you have to move the variable and it is very similar to moving numbers to the other side.
ReplyDelete1) What is the easiest section we have covered thus far in this class? The most difficult? Why?
ReplyDeleteI think the sections were all easy because I already learnt them. I didn't have any difficulties yet and I don't know what's to come in our 2nd semester so I will wait.
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 don't thinkso because the math class is like the review. If I have any gaps I will be filled at school. I don't have any concepts that are hard to understand of what we learnt from the beginning of the year.
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.
Section one, Chapter 6 talks about multiple steps, combining like terms, and distributive property. We already learnt dividing, multiplying, subtracting, and adding of fractions, decimals and integers so we will have no problem in these sections. New concept is that we need to use our skills into these question accordingly, whether you use combining like terms, distributive property, or all.
Another section is using verble model. Since we already know solving, and making equations, we can use it to make an equation using variables and solve it with the knowledge we know. I think this section is using our knowledge and using it in an equation of algebra.
1) What is the easiest section we have covered thus far in this class? The most difficult? Why?
ReplyDelete- The most easiest section was the first section because it was all
review for me. The first section was everything I learned before. I understood everything.
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 understand every concept, but I haven't mastered every concept. I have to practice the lessons I've gone over more often in order to be comfortable and familiar with them.
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.
- Lesson 6.1 involves combining monomials, adding and subtracting monomials, combing like terms, and following the order of operations, adding, subtracting multiplying and dividing fractions.
- Other sections show multiple step equations, following the order of operations and adding, subtracting, dividing and subtracting monomials.
1) The easiest i think was when we were multiplying the fractions. I liked this because we did not have to have a common denominator we could just multiply each number, and cross simplify.
ReplyDelete2)I think that i get the concepts, but always do silly mistakes in my multiplaction and addition and substraction.
3)I can use it when combining like terms becuase i can use the common denominators and multiples to solve it. I can also use everything we learned about variables.
The easiest section was adding, subtracting, dividing, and multiplying decimal numbers and fractions. It was easy because it was review. The hardest section was putting decimals into fractions because some decimals were repeating and I do not know how to do that. I still don't get putting decimals into fractions and fractions into decimals.
ReplyDelete-Lesson 6.1
It contains solving multi-step equations. I can use the knowledge that involved solving multi step variable equations.
-Lesson 6.2
Solve multi step variables. I can use the knowledge that involved solving multi step variable equations.
1) What is the easiest section we have covered thus far in this class? The most difficult? Why?
ReplyDelete- I think the first few chapters were the easiest because I already learned them either from 5th grade or last year. It was a review for me.
2)Do you still have foundational gaps in your mathematical knowledge? If so, what are they? Be honest.
- I understand most of the concepts but sometimes, I get confused and needs to strengthen my understanding for that concept. But I get what we are learning in class and I try to use it in real life situations.
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.
- Chapter 6.1 holds some order of operations and dividing fractions
1) I think multiplying fractions is the easiest section. We can actually do cross simplify. The most difficult section is dividing decimals.
ReplyDelete2) I think I understood most of the concept.
3) I think for multi - Step Equations by using the concept of multiplying numbers. And for problem solving, I think I can analysis the problem by the concept I have learned before.
1) What is the easiest section we have covered thus far in this class? The most difficult? Why?
ReplyDeleteThe easiest section was adding and subtracting fractions because all you have to do is get the least common denominator and add/subtract. the hardest section was converting fractions into decimals because it takes a long time dividing. and, it's easy to make mistakes.
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.
No, I think I understand all of the concepts.
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.
Solving equations involving fractions and decimals will be about adding fraction with/without common denominators. Also, converting decimals into fractions or vice versa may be needed. Solving Multi=step equations will use order of operation
1) What is the easiest section we have covered thus far in this class? The most difficult? Why?
ReplyDelete-I think the order of operation was the easiest for me because I had already learned it, and it was review for me. Even if I had forgotten it, it just needs memorization, which is quite easy to do if you find a fun way to remember it.
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 understand and can conduct all of the concepts, but I think I should continue to review what I have learned because I still make silly mistakes, sometimes.
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 we will need to incorporate knowledge from Chapters 2-5 for the sections that go over multi-step equations (6.1) and fractions and decimals (6.3). Multi-step equations involves the order of operation, which are exponents, dividing, multiplying, etc. For fractions and decimals, he have learned many lessons about solving equations with dividing or multiplying decimals and fractions.
1) What is the easiest section we have covered thus far in this class? The most difficult? Why?
ReplyDeleteThe easiest section was multiplying and dividing fractions because you didn't have to find the least common denominator and we just have to simplify and then multiply. The most difficult section was mean, median, and mode because it took me a long time to find the mean.
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 don’t think I have foundational gaps in my mathematical knowledge for this chapter.
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 we will need to incorporate knowledge from Chapter 2-5 when we learn about multi-step equations for lesson 6.1 because we will be using Order of Operations to know which order to solve multi-step equations.
Also, I think that we will need to incorporate knowledge from Chapter 2-5 when we learn about fractions and decimals in lesson 6.3 because you need to know how to use fractions and decimals which we learned from chapters before.
1) What is the easiest section we have covered thus far in this class? The most difficult? Why?
ReplyDeleteA: I thought the order of operation was the easiest because I was already familiar with the concepts. The most difficult was subtracting negative integers because I was usually handling with the positive integers.
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.
A: I don't have foundational gaps in my mathematical knowledge.
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.
A: For chapter 6 section 3, I think we can use the adding and subtracting fractions and decimal. Also, for chapter 6 section 2, we can use the order of operation because there is the order for every questions.
1) WHat is the easiest section we have covered thus far in the class? The most difficult? Why?
ReplyDelete-The easiest section I think we have covered is multiplying sections because you just have to multiply the numbers. However, addition and subtraction is more complex because you have to find the denominator.
-The hardest section was trying to find out the mean, median, mode,and range. This section was hard because it took a long time to figure out and was confusing with a lot of numbers all over the place.
2)Do you still foundational gaps in your mathematical knowledge? Be honest.
I know that at that time i didn't understand the thing about the equality changing if the number was divided by a negative integer. However, now I understand it.
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.
-6.1: We learned about adding, subtracting, divided, and multiplying integers in chapter 2. We also use this in solving multi-step problems (these are one of the steps).
-6.3: We learned in chapter 5 about how we cancel out fractions, and we use that to get rid of the fractions in lesson 6.3.
The easiest section was order of operation because it is like basic thing in matheamatics. I already learnt it and it is easy to remember. The hardest section was exponents and scientific notations because I always forget to put decimal point after the first digit.
ReplyDeleteI think I have foundational gaps about negative exponents in fractions because you have to put them in the denomenator or to the numorator and also have to subtract if necessary. That confuses me.
In Chapter six, section 6.2 which is solving variables with variables on both sides, I think we can incorporate knowledge from Chapter 3 which is adding and substracting like terms and solves equations. Also in section 6.3,which is solving equations involving Fractions and decimals, we can
incorporate learning from Chapter 5 which is about adding, subtracting, multiplying and divding both decimals and fractions.
1) the monomials ere the hardest while solving the equations were the easiest. this was because i kept making mistakes finding the factors of the number
ReplyDelete2)no i do not think i have foundational gaps however i make a lot of calculating errors.
ReplyDelete3) to do multistep equations or equations with variables on both sides, it takes the previous lesons, solving equations to solve them
ReplyDelete1. The easiest section was solving equations because the process of solving the problem is more fun and the answers are usually whole numbers. I do not think that any section was difficult because it was mostly a review for me.
ReplyDelete2. No, I think I understand all of the concepts pretty well.
3. The first section has to do with solving inequalities. In order to do this problems,I have to use the knowledge from solving equations and solving inequelities from chapter 3. The next section in chapter 6 that deals with fractions and monomials incorparates materials from chapter 4.
1. the easiest was oder of operations. just moving them around was enough.changing fractions into decimals was the hardest and the most time taking section. I got so many wrong questions on it.
ReplyDelete2. I understand all the sections we have gone through so far.
3. solving inequalities and decimal variables is not really different from equations but there are some different properties to each other. intersecting with equations, It will not be too hard.