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 most easiest section so far was adding, subtracting, multiplying, or dividing integers because at this section you only need to add the common integers and then isolate the variable. The most difficult section so far was changing a repeating decimal to a fraction because if there are two numbers repeating then it is more difficult than one number repeating.
ReplyDelete2. The concept I still don't really understand is the repeating decimals because I don't still get how to change a repeating decimal with two numbers repeating, but I know how to find a repeating decimal with one number.
3. At Chapter 6, the section about solving variables on both sides may need knowledge from finding variables by adding, subtracting, multiplying, and dividing. Another section from Chapter 6 is solving inequalities with variables and also dividing and multiplying which may need the knowledge from knowing how the signs change and adding and subtracting.
1)The most easiest was subtracting, adding, multiplying and dividing fractions because most of us already know how to do it and it is pretty straight forward like multiplying and dividing you just have to divide or multiply so it is easy.
ReplyDeleteThe most difficult was changing the decimals into fractions especially for some problems with difficult decimals.
2) I still don't really get or find hard how to change the recurring decimals in to fractions, because there are different ways that decimals recur such as 1.11333...
3) Chapter 6 includes variables and subtracting, adding, multiplying and dividing fractions. I think we need to use the knowledge we used in chapter 5 when we are trying to solve the variable by the four major ways.
1) The easyest section of this chapter was multiplying and divideing fractions. They are the easiest becasue when you are plusing and subtracting fractions you have the change the denominator the same.
ReplyDelete2) I still don't get how to make a repeating number into a fraction which the number's first or the second decimal points are not repeating.
3) In chapter 6 one of the sections are solving multi-step equations. This is simular to one sep equations and two step equations. Another section is getting solving equationsinvolving circumfrence. This is also related to equations.
1) I think the easiest section we have covered was the section with exponents because we just had to add or subtract the power. The most difficult section I think was memorizing the mathematical method such as distributive property because they weren't the vocabulary that I learned at my academy.
ReplyDelete2)Like I just said, I forgot all the meaning and names of the vocabulary.
3)Like Joseph said, you need to know how the signs get changed by adding, subtracting, dividing and multiplying to learn the section about inequalities with variables. Also you need to know how to add fractions and decimals to learn the section with solving equations involving fractions and decimals.
1)The easiet section so far was multyplying and dividing fractions because the denominator could be different and it's just basically same as multiplication/division of the whole numbers. The most difficult section so far was adding, subtracting,multyplying, and dividing the fractions with a varable because addition/subtraction needs to have LCD, and multiplication/division are tricky to multiply the variable. It's also confusing wheter we should simply or not.
ReplyDelete2)To me, changing the decimal to a fraction is confusing.Example : 6.32 (repeating) is hard to change in to fraction. I get confused a little about the repeating decimal.
3)For section 6.1, Solving Multi-step equations, I could use the knowledge I learned about solving problems that contains the variable.
For section 6.3, Solving equations involving fractions and decimals, I could use the knowledge I just learned about adding/subtracting/multiplying/dividing the fractions and decimals.
1) I think the easiest so far are integer rules, because if you memorize all of them, then all you have to do is apply them to the problems! The most difficult was monomials, because there were a lot of variables, and sometimes they were also in fraction form.
ReplyDelete2) I am still struggling with monomials and adding/subtracting like terms.
3) For solving equations, we will probably need to apply our knowledge of properties (distributive, commutative, associative, etc...) For using variables (to solve inequalities and equations), we will need to use combining like terms.
1) I think that the easiest section we have covered thus far in this class was adding, subtracting, multiplying and dividing integers and decimals. We have practically done this since 4/5th grade and so it is kind of easy for me.
ReplyDelete2) I still kind of don't know the scientific notation thing. I know how to do it but I don't know which ones are -10* ---- and which ones are +10*----
3) For 6.1 we could use the "isolating variables" concept.For 6.6 we could use the "replacing the variables with numbers" concept.
#1 The most easiest section so far in this class was multiplying and dividing fractions. It is easy for me because you just have to multiply.
ReplyDelete#2 I think I am bad at dividing decimals. Dividing fractions and integers are easy but I need help on dividing decimals.
3) In chapter 6, section 1, we learned about the equations. Even though it is multi-step equations, we know how to solve the problems.
1. The easiest section is adding, subtracting, dividing, multiplying because I already learned already and it is just same as dividing and multiplying, adding and subtracting. The most difficult was dividing and multiplying decimal because it takes a lot of time
ReplyDelete2. I have struggle at the scientific notation.
3. In chapter 6, the first section, i could review many times
and at fourth section, I could study well.
1) What is the easiest section we have covered thus far in this class? The most difficult? Why?
ReplyDeleteI personally think that the section on finding the mean, median, mode, and range was the easiest, because we have done this many years ago. Also, it only uses adding numbers and dividing them at the end.
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 honestly have one gap. That one is speed. I personally think that I have the mathematical skills, but not the fastest speed to perform my answers. If my mathematical calculations are too slow, it will be an obstacle.
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.
In chapters 2-5, we learned basic calculations on fractions, numbers, and even harder concepts. In Chapter 6, they cover similar samples, but including variables and even harder concepts. Multi-step equations and verbal models are two sections in chapter 6, I would need to use my skills of dividing, multiplying, adding, and subtracting.
1) What is the easiest section we have covered thus far in this class? The most difficult? Why?
ReplyDeleteThe most easiest section we have covered so far in this class for me is finding the value of the missing variable. I also thought that adding and subtracting decimals was very easy too. And I had trouble on the exponents. Because sometimes, I would just multiply the 2 numbers together. Ex: 2 to the power of 3 I would just do 2*3 instead of 2*2*2.
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 still don't get how to change decimals with the bar on only one number into fractions. Ex: 1.23 with the bar only on the 3 or something.
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 section 1 would need the knowledge of ch. 5 because if you don’t know how to solve equations with variables, you would have a hard time doing this chapter. And I also think that section 3 would need the knowledge of chapter 5 (again..) to understand the chapter.
1. The most easiest was the equations because to solve the equation, you only need to know the concept of how to solve it (which was easy) and the adding, subtracting, multiplying, and dividing. The most difficult for me was the lesson about coordinate plane because of there was a lot of things we needed to know to get the concept of how to put the dot on.
ReplyDelete2. I still don't get how to convert the repeating decimals into fractions, for example, I don't know how to put 3.23232........ into a fraction.
3. In chapter 6, there is a lesson about multi-step equations, this is related to one-step equations, 2-step equations, and subtraction, dividing, adding, multiplying integers or fractions or decimals. Also, for variables, we could use our knowledge of the concept of equations and combining like terms.
1. I think throughout this class, the easiest things we have learned was equations. This is because once you understand what you can do, solving equations becomes a lot simpler. I think the hardest part we have covered so far was LCD, LCM, and GCF. They are very easy to forget and get mixed up with.
ReplyDelete2. I truly have a problem with solving long equations. I don't have a problem with short equations, but I get mixed up with long ones.
3. In chapter 6, we can incorporate concepts such as adding/subtracting like terms and our knowledge with fractions and decimals.
1.)I think throughout this class, the easiest section we have covered so far is finding the mean, median, mode, and range. This is because we had covered this method many times in our years. Also the meanings of mean, median, mode, and range are all easy to understand and has easy steps. The most difficult throughout the section is adding, subtracting, multiplying, and dividing. I think this is my weakness in math because even though we had learned this a lot from young age, I keep making small mistakes while solving problems. Also it makes me think it's an easy question while adding, subtracting, multiplying,or dividing but then I make a silly mistake and get some points off.
ReplyDelete2.)One gap is that I need to solve questions faster. Such as simple questions such as adding or subtracting. This is because every time I take a test on math, I would be the last one finishing the test and suffer from finishing in 5 or 10 minutes. So I think my gap is solving questions faster.
3.)In chapters 2-5 we have learned the beginning steps of the current sections. In chapter 6 there are similar sections but are more difficult. It gives us specific informations about multi-step equations and equations that have variables on both sides. This also covers stuff we did before. I will use the knowledge of combining like terms and also adding or subtracting negative numbers.
1) For me, I think the easiest section we have covered in this in class was when we learned how to multiply and divide fractions. For dividing, you only have to multiply (both the numerator and the denominator) the two fractions with only flipping the fraction which is on the right side. For multiplying fractions, you just multiply both the fractions (numerator and the denominator).
ReplyDelete2) I honestly think that I am not a very good divider on decimals. Sometimes I get confused and all mixed up because sometimes the number sometimes gets too big while I calculate. I think I need to improve on calculating decimals.
3) I think that in Chapter 1 section 3 (Variables and Expressions) is a very easier version of Chapter 6 section 2 ( Solving Equations on Both Sides). They both calculate with the variables, but Chapter 1 is in a much simpler way than the way Chapter 6 teaches us.
I also think that in Chapter 2 section 2 is similar to Chapter 6 section 6. They both talk about integers, but again, Chapter 6 section 6 is only taught in a harder way. They both use the greater than, less than, etc. Chapter 6 section 6 is kind of like a harder way of review than Chapter 2 section 2.
1. I think throughout this class, the easiest things we have learned was adding, subtracting, multiplying, and dividing. It is because it was reviewing and I learned long time ago. The hardest thing was solving multi-step inequalities. It was because I was confused when drawing the timline thing.
ReplyDelete2. I hve a problem with solving multi step inequalities and I still don't get how the arrow point other side.
3. In chapter 6, we can incorporate concepts such as adding, subtracting, multiplying, and dividing fractions. The other one is inequalities with variables.
The easiest section so far was the chapter where we has to add and subtract the numbers and multiply and dividing. It is the easiest so far because it was a review from the past years and the hardest one chapter was when I had to find the mean, mode, and Median.
ReplyDeleteI have some problems with dividing decimals. When I divide decimals it kinds of confuse me.
In chapter 6 you would have to use adding, subtracting, and multiplying and dividing.
1) The easiest thing of this chapter during the class was multiplying, dividing, adding, and subtracting.
ReplyDelete2) My problem was knowing how to change the side of the equation when subtracting.
3) In chapter 6 we multiplyed, divided, added, and subtracted the different cordinates.