## Math 1060:Trigonometry

Math 1060 has been a fun challenge for me. I have always loved math and I enjoy learning how it can be applied to everyday life. Learning about Mass-Spring systems was interesting. I remember learning a little about them in my high school physics class but that was 15 years ago. Relearning College Algebra and Trig has been stressful at times but it was good stress and it helps me learn and remember better. One of the challenges I was faced with was our modeling the Motion of a spring assignment. It took some thinking but now I understand Mass-springs better and I look forward to the next big challenge in math. I have posted a download of the Mass-spring assignment below.

signature.project.math1060.sarah.anderson.pdf | |

File Size: | 1548 kb |

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Mass-Spring systems are around us everywhere. If you aren’t looking for them you may not know they are there. For this Math class we were asked to model the motion of a spring. Then we were asked to give examples of mass-spring systems that are important in everyday life. As I thought about this I wasn’t sure if there were any. Then I clicked my pen and realized there was a spring in the pen. I don’t know how important the amplitude, period and frequency of this particular spring is, but the pen would not work the same without it. I then wondered where I could find springs that were necessary and where the amplitude, period, and frequency would be important. I thought about the pogo stick my daughter is struggling to master. The spring in the pogo stick is really what makes the toy work. Then I thought of a car. There are many springs in cars. One of the main spring systems in cars are the Suspension Springs which hold the weight of the car and assist in ride comfort. The amplitude of a suspension spring is important because it tells how much the spring can be compressed and how far it can stretch past its equilibrium position. If the spring is unable to stretch or compact far enough it could brake while the car is moving over uneven ground. The frequency is determined by the weight of the car and the stiffness of the spring. If the spring is too stiff it won’t react to the bumps in the road quickly enough and the ride will be bumpier. If the spring is not stiff enough the spring could overcompensate for the bumps and possibly break. The frequency helps to determine how stiff the spring needs to be to keep the suspension running smoothly across any surface. And since period and frequency are pretty much the same, the period can help to determine how much weight the spring can handle. All three of these aspects of the mass-spring systems are very important if you want the spring to do the job it was put there to do.

Ever since I decided I wanted to become a math teacher, people around me ask why I think it is important for kids to learn math past a 9th grade level. I have thought a lot about this and honestly it is a little hard to justify the necessity of algebra, trig, or calculus unless you are going into a line of work that requires an understanding of it. I do tell them that it may not be necessary but it is interesting sometimes to know how things work and that they may find it helpful at times. If you can understand how, for instance, the spring in the garage door and the spring in your click pen works, then you may see why one is so much smaller and thinner than the other. Or if you are trying to move a heavy object into a moving truck, and you know basic trig, you will be able to figure out how much of an incline the ramp needs to make the job easier. My husband is a history teacher and is always saying how important it is to learn our history. I don’t see that as important but I believe it is important to know Trig even if it is just a basic understanding. Math was pretty easy for me so I found it fun. For those who don’t find it so easy, their teacher needs to find a way to help them understand it. I think by showing them how it can be used in life, they will be able to see how it works. My goal as a teacher is going to be to find ways the students can use trig in the real world and emphasis that in my lessons.

Ever since I decided I wanted to become a math teacher, people around me ask why I think it is important for kids to learn math past a 9th grade level. I have thought a lot about this and honestly it is a little hard to justify the necessity of algebra, trig, or calculus unless you are going into a line of work that requires an understanding of it. I do tell them that it may not be necessary but it is interesting sometimes to know how things work and that they may find it helpful at times. If you can understand how, for instance, the spring in the garage door and the spring in your click pen works, then you may see why one is so much smaller and thinner than the other. Or if you are trying to move a heavy object into a moving truck, and you know basic trig, you will be able to figure out how much of an incline the ramp needs to make the job easier. My husband is a history teacher and is always saying how important it is to learn our history. I don’t see that as important but I believe it is important to know Trig even if it is just a basic understanding. Math was pretty easy for me so I found it fun. For those who don’t find it so easy, their teacher needs to find a way to help them understand it. I think by showing them how it can be used in life, they will be able to see how it works. My goal as a teacher is going to be to find ways the students can use trig in the real world and emphasis that in my lessons.