Wednesday, January 2, 2008

What have you learned in Algebra this semester?

As we approach the end of the first semester I would like you to reflect on what you have learned.
Please choose a topic we studied and explain it; what it is, how you approach the problem (if applicable), where it could be used outside of math class, do you find it confusing or straightforward .... Your comments should be clear and concise so that anyone reading it (not just your math teacher) could understand what you are explaining.

37 comments:

waltnich said...

I think that I use the things that I have leared in many things like my science class like using a propotion ton conver from metric and in to us mesements. I think that we use what we have learned every day but we don't know that we do. I also use what I haved learned to help my brother do his homework.so I think that i use what I have learned. I also think that even tho that we dont want to learn this i think that we will need to in the long run

Michele said...

I thought that I learned a lot in Algebra this semester. The topic that I find most useful would be the percents and how to find the percent of a number. To find the percent you would do 3/4 of a number is 100.This can be very useful to me while shopping so that I can find all the discounts.Now that I know exactly how much it is I feel that i can feel smart and a saver at the same time.

sam bissing said...

I have learned that there are a many steps in solving any algebra problems. For example when solving word problems it gets confusing when a problem is filled with words and numbers that the solution doesn't need. So, you get rid of the "extras" and keep only whats needed for solving the problem. Then follow the problem closely because when reading word problems you can easily miss things. After reading through the problem carefully follow the steps that pertains too. Word problems are used in everything whether they are writen down or one you think up yourself to help you solve a bigger problem. Word problems could be used in just about any subject such as science, geography, history and language arts. I do sometimes find word problems confusing, but when I carefully look over it I normally am able to solve the equation without a problem.

Anonymous said...

Honestly, Algebra is like having a nail screwed through your skull ... it's painful! During the first quarter, I had a pretty hard time adjusting to the challenge of it all, and as a result, my grade suffered. But now that I am used to the newness of it all, I am beginning to enjoy the challenge of it all.

I guess the biggest thing I learned was how to learn, if that makes sense. In previous math classes, I did not have to exert a lot of effort to earn an A, never had to sit for fifteen minutes trying to figure out one problem. This year, things are different. We don't spend an entire week on one concept; we learn something one day and learn something else the next.

I am glad I took this class my Freshman year, because it will prepare me for all the other challenging classes I intend to take throughout my high school career. I have learned how to be more patient, more studious, more meticulous when it comes to schoolwork. Besides that, Algebra has helped me become more interested in Math. I will definitely take as many math classes as I can, try to challenge myself as much as I can, even if that means doubling up.

Algebra is confusing sometimes. It's frustrating sometimes. It involves dedication and perseverance and discipline to be successful in it. And that is what makes it so important, besides all of the concepts.

max said...

I learned alot this semester even though my grade isn't that good. I still feel like I know what I am doing and how to do it. Some of the units were challenging to me and i struggled with it but I feel im ready for the final. I agree with nick about using some of the skills I've learned in other classes like science.

Tess said...

I have learned a lot in this semester of algebra. But some of the units that we learned were challenging for me. I think that percents will be useful in life because if you work at a bank, you might have to use percents. Even though I think that everything we learn can be applied to the outside world.

Tricia Michiels said...

I'm not a big fan of math... especially algebra. It sometimes gets my mind tangled. This semester I learned how to distribute and factor with numbers and variables. The reason I say this, is because I would have never thought to do it this way. If I'm distributing I take whatever is outside of the parentheses (Just the # before or after) and multiply it by whatever is the parentheses. If there is a variable, I just need to add it to the number. Then when factoring, all I had to do was get it so the numbers and variables were in the distributing form and place the variable with the correct number. At this point in time I'm not sure where it is used in real life yet, but I'm sure I will fall upon it in the future. In my opinion it is a straightforward topic.

Chance said...

I learned quite a bit this year. Some things though I didn't understand how they were going to help us in the real world. For example this past lesson with elimination. When are we really going to use it. However the decimal and percent stuff I can see us using in the real world because that's how numbers are shown.

Juliana said...

Algebra, this semester, was sometimes a challenge, but mostly was actually (although I thought I would never say this about any math class) kind of fun.

We have learned so much this semester, I don't even know where to begin. Okay, because there is so much to talk about, I couldn't pick one specific topic. So, I'm going to categorize some of the topics I thought of.

One of my favorite things that we did this year, was solving linear equations. These are the steps for solving linear equations:

1. clear parentheses
2. clear all fractions and decimals
3. collect like terms on each side
4. isolate the variable term (move numbers to one side, letters to another)
5. divide by the coefficient of the variable term.

I also liked the equations that we did, when we just used the letters. I thought that these equations were all fun challenges for the mind.

The problems that I thought were most applicable to real life were the word problems, because they took real life situations and we had to use the algebra equations to solve them.

The part they I disliked about this semester was graphing and graphing number lines, because it was easy to make a mistake and it was very tedious.

I think that we learned a lot this semester!

terra said...

I have learned alot this semester. The topic that I liked the best was the percents. I know that I will use it in the real world and not just in math class. I thought that it was just going to be a breeze and it would come to me..but it didn't. I had to work hard and make myself be able to understand the problem. I also learned that there is more than one way to solve a percent problem.

I also learned that you had to make sure that your answer made sense. Sometimes I would think that I have the right answer but when I went back to check it didn't make sense at all, and i thought how could I have came up with that. I now know that i have to have a answer that does make sense and I go back over the problems just to be sure.

Mariah said...

Algebra this year was exciting as well as overwhelming at times! Every day we learned something new to add to the pile of knowledge building up. If you didn’t like something or thought something was difficult, two words for you, “get help.” Every day we learned something new we used the same skills, nothing we learned left for long. When you understood the homework everything was fine, but if something didn’t click, or if you didn’t get a concept, it was challenging. Being sick was just as bad.
In algebra learning something every day and being sick just didn’t mesh. That was one of the hardest things, making up work from when you were gone. It wasn’t like the work was hard or that you were loaded up with so much homework you had no free time. But you did have to set aside a study hall, or time before or after school to come in and talk with Mrs. Kasprzyk or a math resource teacher. Taking time out of a study hall to do this meant not getting other homework done but that was a sacrifice most students were willing to take. It was either that or you failed the test along with the assignments and possibly didn’t understand the lessons to come.
One of the things I loved doing was finding the equation of a line. Although some found this confusing, (if you missed one step, your whole answer was off), I loved it. I was more about staying organized so that you didn’t lose a negative, or skip a step. When Mrs. Kasprzky allowed us to show minimum work, I still showed every step. It was easier for me to keep focused and make sure that I included those all important steps. So it took thirty seconds longer this way, I ended up with better scores and the equations are pounded into my brain.

Danielle said...

I learned alot this semester. The thing we did that I liked the best was solving linear equations because i think it was easy. The first thing you have to do is clear the parenthesis. Then you clear fractions and decimals. Next you collect like terms. Then you isolate variable terms, which is getting letters to one side and variables to the other side. You do that by adding a positive or negative letter or variable to each side. Finally, divide by the coefficient of the variable term.
Even though I struggled, I learned a lot in algebra this semester.

connor said...

I have learned alot this semester. For instance the linear equations.I personally think those are really easy. First you would clear exponents.Then you would clear parenthesis.Next you collect like terms and get them on thier own side and then you solve. I think these are really easy for me because yes there is alot of steps, but they are all right there for you and basically tell you exactly what do to in their description. Alot of the algebra we learn it hink we use everyday, I just don't know what. But we also use algebra in other classes like Science when we have to use proportions. This semester I also learned that some steps can be super confusing and don't always go the way you think they would.

Taylor Laskowski said...

The thing that I learned this semester was that you have to do things in the correct order. If you mess up anything at all you have the wrong answer. For algebra you have to be very thorough. Especially when there involves a lot of steps.

Aly Cornell said...

Well its hard to name off everything that I've learned this semester. I think that every day we had learned something new. One of the things I learned is how to solve for x or y. Thats probally been the most useful throughout all of Algebra

Unknown said...

When thinking about what we learned this semester in Algebra, I think, holy cow, there is a lot of stuff that I hadn't known beforehand that seems to be really easy now. This includes how I had learned to work on problems and plug them into our substitution method that we just learned how to do.

I learned how to, say, solve for y and then put it into the other equation so that i find the coordinates that two lines intersect on a graph without actually having to do the graphing. It's simple math once you get the hang of it.

Meagan Deviley said...

I think that this semester we learned a lot of very valuable things, mathematic and algebraically.
Although my math grade is not where I would like it to be, I feel I understand the basics and the overall idea on how to solve equations. I think after getting through the "hard stuff" in quarter 1, everything else goes off of what we previously learned. I feel this is a very good class to take as a freshman because of where I will be after my high school years are over with. I think I will well prepared for my future thanks to algebra 1.

Brad said...

I have learned that if you don't get a subject, ask about it. It will only hurt you. When you first start a subject you will use that info plus the new stuff you will learn along with it. In Algebra everything builds up.

austin said...

I have learned a lot this semester. In the first quarter it was tough for me but towards the end and beginning of second quarter algebra got easier. I learned how to find the x and y values in graphing and elimination equations. I also learned how to find percents and linear equations. For percents, you put the problem as is over of and then put the percent over 100. Then you cross multiply and then divide to find x. I think that I will use some of the math I learned such as the percents, but I don’t think I will use the process of elimination.

Bryan said...

One thing I learned this year that I can use in other classes would be proportions. I use proportions in chemisty to convert one kind of measurment into another and it helped to know them first from algebra. The first thing you do is figure out what your variable is. If you are trying to figure out what percent 19 out of 20 would be. You would set up a proportion like this:x/100=19/20. You then cross multiply and get 20x=1900. then you would divide 1900 by 20 and that would be your percent.

Ashley D. said...

I think that we have learned alot of stuff in algebra. But we probably won't use it in the long run. but it is still very good to still learn it. Because it makes us smarter for a lot of stuff. We use it in science for converting metrics and it is very usefull.

Gaven Brault said...

I have learned a lot of things this semester that are useful in math class. At first they were kinda challenging to me way at the beginning of the year. Now that i get how to do all the things we learned it is much easier to do and understand. I think that you would need to use the graphing linear equations so if we need to solve graph problems for your job we now know how to.

levi budz said...

this semester in math i have learned alot. some of it was hard and some of it was easy. The most useful topic is how to convert fractions into other forms such as decimals. This would be useful becuase you might have a number thats a fraction and you might want to change it into a decimal then into money.

Ben said...

I learned a lot about graphing and solving equations which sounded hard at first but now its easy. Theres alot of ways to solve an equation and alot of different answers to find like slope, Y point, and making a graph.

Maes said...

I have learned quite alot this year in Algebra especially how to graph and solve for y. Some of it was hard and I didn't get how to do it and I had to do a couple of redos this year in order to understand how to do it. One of the most cofusing things that I learned was how to find a coordinate using the substitution method. The easiest thing that I learned was how to change a percent to a decimal. I think that I am ready for the Semester Final. I hope to improve my grade a little more the next sememster.

Alex said...

I have learned alot this year in algebra. Lots of things that i will most likely use later on in life. practicing story problems was probably the biggest thing i learned this year. all the graphing has been nice too.

Alexis Lunderville said...

What i learned in algebra this semester. Whatever you do to one side must be done to the other side. so when you add a negative number to one side, it must be done to the other side as well. This year i also learned how to clear fractions. you take the common multiple of all the bottom numbers and times the problem by that!
One thing in particular stood out to me. story problems. that was my least favorite part in that class. although in the real world that's what we are going to need to use because the problem won't always be smack dab infront of us. Plus, story problems can relate or tie into any subject.
Overall, my whole experience in algebra was influential. i gained an expectation of what to expect in the next semester and i learned alot about numbers.

Marshall said...

I learned that everything you do in algebra leads to the next step. If you miss out on one step it will come back again later. Like doing the the three ways to find soultions. It led to story problems. Also I learned that almost all the algebra answers can be checked by puting it back into the equation. Finally I learned that doing a problem without any shotcuts at first, can help you understand it more. Algebra is tough but the skills will be usefull in the long run.

Natalie Wheeler said...

Just like everyone else i have learned a lot! And my brother is always saying how his algebra teacher moves to quickly through everything but i feel as if i am getting all the help i need. And if i don't know something we take time and explain it and do problems/examples.

The thing that i enjoyed the most was slope and y intercept..not so much the graphing part of it but just solving it because there was one way to do it so it was pretty hard to mess up on. I also liked the thing we just got done with the the addition, substitution, and graphing equations because it was a little mystery figuring out which one to use but after that you wizzed through the problem and could check your answer at the end.

kali said...

I agree with Natalie, I have learned a lot. My sister always said tht when she was in high school her teacher moved really fast and it felt as if the class shouldnt ask any questions. But, in this class I feel that i am getting all the help i need. I like trying to solve for y and x.When I was younger i would always look at my sisters homework and ask how the heck she is solving that with no numbers but, know how I get how she was doing it and I think it was kinda fun.

adampeterson said...

Hey whats up.
I think that math can help you later in life. Also, I've never known how to do fractions and stuff. I also learned this year how to graph equations, find variabies, and other math stuff. One more thing I learned was that if you have
2(3+50), you have to distribute and it would end up as 6+100. So thats what I learned in alegebra and a whole lot more. I have to go, so see ya later.

Peace

Anna said...

We have learned an awful lot in algebra so far this year, much more than I figured I would going in to it. One thing that I think might be useful outside of school is graphing. Although it is repetitive and we first learned it years ago, this years graphs are much more complicated than last years. I learned that lines with negative slopes will always go down and vice versa. I learned that when graphing you will always solve for y and I also learned how to find the slope of two ordered pairs and then graph them. We have done so many things with graphing this year, and its gotten much more complicated than graphing last year. I think that graphing might be used by some people outside of school when they grow up to work in marketing and try to find out when sales increase and why. I do think that much of what we learned about graphing will not be used by most people when we get older, but I'll admit some of it will.

Aly said...

I use the things that i learned this semester sometimes in science class for all of the formulas. we also learned precents, I think that I will actually use this in the real world so i think that was a unit that will help me later. Also i learned that you always have to make sure your ansewers make sence because if they dont then you did something wrong.

erin said...

We have all learned many things this year. One thing that I learned and never will forget is that small mistakes make a very big difference,especially in point slope equations. I also learned how to break things down in order to find the correct answers. This will help me in the real world when dealing with everyday problems. Overall, I feel like I am understanding more about algebra as the year goes on.

sam said...

I have learned alot this semester. I would have to agree with budz, some of these things are really easy, and some of these things i could live without. One thing that i have learned this semester is that alot of the things that we do in class and for homework can be used in our daily lives. For example if you go to a store and there is a sales tax of 40% off an item that i would actually know how to figure that out. I hope to learn just as much in the second semester as i did in the first.

Brown Bear said...

I have learned alot this semester. Even though i didnt have the greatest grade, some of the units i felt like i knew what the answers were. I think that this semester was a big challenge, but i have learned lots this semester.

kozloski said...

I learned a lot this semester in algerbra. I never really realized that as you move further into the book each lesson is built onto and gets more difficult. But learning all the little parts makes it easier to figure out the harder stuff. Also some of the stuff I learned I can use in my other classes especially science and using porportions