Unit Write Up
Cover Letter
This semester in math the unit we were doing was “Do bees build it best.” The unit question for this unit was, is the honeycomb an efficient shape for storing honey? In order to solve this we had to do math stuff and learn stuff. The first thing we learned as regarding to the question we worked with shapes, and learned the basic principles on how to find area. With that knowledge in hand we moved on to learn trig. We learned about sin, cos, tan, and how to uses them to get angles and sides of right triangles. The final part of trig was finding the angle of a hill that was outside, were hills are, this took a few days of calculations and measurement to solve, but in the end we were successful. We went back to working on shapes, and how to get area, and volume of shapes, and angles of shapes, and just a lot of shapes. With this we worked to find a formula to solve the area of and polygons if we were given the perimeter. This took a few days and we quite a challenge, but in the end several groups we able to come up with a formula. Following getting the formula we moved into the end game of this unit a we started working of volume of shapes. This let us into the final problem and answer with solved the unit question. We as a class concluded that the answer to the unit question was...Yes. Through math we found that not only was a hexagon an efficient shape, but for bees it is the most mathematically effect shape there is. In my construction of my portfolio I selected all the papers that I thought would best represent are progress to this final answer, and in conclusion I believe that this unit answered a question I did not ask with mathematics that I wanted to now.
Personal Reflection
One of the main focus of this unit was geometry, witch is my least favorite area of math. I was mostly expecting to be bored, and disgruntled by what was being taught, and this is somewhat true. During this unit we covered a lot of thing I had done before with was just a review for me, and despite me finding these parts boring it did concrete my knowledge of this level of algebra. The parts I was pleasantly surprised by was the trig, with I had learned before, but had not fully grasped. Because of thin I found it very not boring and interesting to revised, and learn about trig in the way we did. I think during this unit my weakness was motivation, as I said early it was a lot of review for me, and because of this I did not put out my best work in almost anything I did. Also the class is in the morning, and I have a problem with not getting enough sleep with make me put out even less effort in thing I do. I do not believe this is far that I don’t put out my best when my teacher puts so much effort into each lesson, and so I will try my best to do my best work in the up in coming unit.
Unit Extension Question
For this question I would ask whether true circles exist, or not. I no what you must be thinking of course they exist, but do they, do they really. In reality since a circle has an infinite amount of sides how can we ever create a circle. We as humans can struggle for an infinite amount of years but no matter what we do we can never reach infinity in any sense apart from theoretical. Which puts up the question what does it mean to exist in the first place; does something exist because we can see it, tuoch it, fell it, or because we can think it. Because of can only think a circle into existence that would go to reason that any form of infanfite exists, and by that logic we can never ever move or do anything. I argue this because to move across the room you first most get half way there, then half way again, and again, and again, and so on and so on, infanity. So my walking across a room we break infinity, so then does infinity exist or not. Because if it does then in principle we should never be able to reach it yet we do every time we take a step, but if infanfity does not exist then circles don't exist in reality. Which is true circles only exists in theory. Than I guess my secondary question would be what does it mean to exist?
To finish I would just like to say that I am sorry if this is to short for a portfolio write up. In by writing style I tend to just go on and on, and I have been working on trying to be more concise and, sortan the lanches if my righting. However I fear I did this to short if so I would ask for the opportunity to redo it, or at least at on to it.
This semester in math the unit we were doing was “Do bees build it best.” The unit question for this unit was, is the honeycomb an efficient shape for storing honey? In order to solve this we had to do math stuff and learn stuff. The first thing we learned as regarding to the question we worked with shapes, and learned the basic principles on how to find area. With that knowledge in hand we moved on to learn trig. We learned about sin, cos, tan, and how to uses them to get angles and sides of right triangles. The final part of trig was finding the angle of a hill that was outside, were hills are, this took a few days of calculations and measurement to solve, but in the end we were successful. We went back to working on shapes, and how to get area, and volume of shapes, and angles of shapes, and just a lot of shapes. With this we worked to find a formula to solve the area of and polygons if we were given the perimeter. This took a few days and we quite a challenge, but in the end several groups we able to come up with a formula. Following getting the formula we moved into the end game of this unit a we started working of volume of shapes. This let us into the final problem and answer with solved the unit question. We as a class concluded that the answer to the unit question was...Yes. Through math we found that not only was a hexagon an efficient shape, but for bees it is the most mathematically effect shape there is. In my construction of my portfolio I selected all the papers that I thought would best represent are progress to this final answer, and in conclusion I believe that this unit answered a question I did not ask with mathematics that I wanted to now.
Personal Reflection
One of the main focus of this unit was geometry, witch is my least favorite area of math. I was mostly expecting to be bored, and disgruntled by what was being taught, and this is somewhat true. During this unit we covered a lot of thing I had done before with was just a review for me, and despite me finding these parts boring it did concrete my knowledge of this level of algebra. The parts I was pleasantly surprised by was the trig, with I had learned before, but had not fully grasped. Because of thin I found it very not boring and interesting to revised, and learn about trig in the way we did. I think during this unit my weakness was motivation, as I said early it was a lot of review for me, and because of this I did not put out my best work in almost anything I did. Also the class is in the morning, and I have a problem with not getting enough sleep with make me put out even less effort in thing I do. I do not believe this is far that I don’t put out my best when my teacher puts so much effort into each lesson, and so I will try my best to do my best work in the up in coming unit.
Unit Extension Question
For this question I would ask whether true circles exist, or not. I no what you must be thinking of course they exist, but do they, do they really. In reality since a circle has an infinite amount of sides how can we ever create a circle. We as humans can struggle for an infinite amount of years but no matter what we do we can never reach infinity in any sense apart from theoretical. Which puts up the question what does it mean to exist in the first place; does something exist because we can see it, tuoch it, fell it, or because we can think it. Because of can only think a circle into existence that would go to reason that any form of infanfite exists, and by that logic we can never ever move or do anything. I argue this because to move across the room you first most get half way there, then half way again, and again, and again, and so on and so on, infanity. So my walking across a room we break infinity, so then does infinity exist or not. Because if it does then in principle we should never be able to reach it yet we do every time we take a step, but if infanfity does not exist then circles don't exist in reality. Which is true circles only exists in theory. Than I guess my secondary question would be what does it mean to exist?
To finish I would just like to say that I am sorry if this is to short for a portfolio write up. In by writing style I tend to just go on and on, and I have been working on trying to be more concise and, sortan the lanches if my righting. However I fear I did this to short if so I would ask for the opportunity to redo it, or at least at on to it.