Project Overview:
Throughout this project we dived into different topics of measuring. These all connected to the general math concept of measuring. First we started off our classes discussing pythagorean theorem then transitioning from pythagorean theorem into the measurement of right triangles and all of their mathematical properties. This then led into the overview of trigonometry. Through this portion of the project we focused of sine, cosine, and tangent, and their properties. We learned how take shapes apart specifically into different types of triangles. This then led into how to find the areas of complicated 2 dimensional shapes. After studying 2 dimensional shapes we then decided to study 3 dimensional shapes and focus on volume and move away from area. We focused first on the most simple shapes such as cubes and rectangular prisms. Then we moved on to the more complicated sphere and solving for it’s properties. At the very end of this we created our own mini measuring project where we were allowed to measure anything in the world and then present our mathematical journey to the class.
Design Your Own Project:
For this personal design your own project I had decided to work by myself because personally I thought that t would make it easier. I had also decided to measure my living room volume since it is an awkward shape. It wasn't as in depth as I wanted it to be but that is because I had to deal with the whole workload myself and most other people were able to share it between the group.
Reflection:
I thought overall that I could have tried to measure something more interesting than my living room, but procrastination and lack of motivation to work got the best of me and I had to rush this project. I was still interested with how much space was in my living room and also how it wasn’t as simple as I thought it was to measure. I also had ran into some problems along the way like for example, forgetting some important steps in the trigonometry. This set me back a few days in the process of finishing the project because I had to look up online the steps and reteach myself what I had forgotten in the project. Also I would have liked to make a slideshow instead of doing all of my work on a piece of paper. I couldn’t do this because I had procrastinated to much and fell behind on my process on the project.
General Reflection:
Throughout this whole project I have experienced an extreme academic growth and transformed as a student. Also I have gained confidence in my mathematical thinking and my abilities to solve problems that seem more challenging to me. We also took time in generalizing and diving deeper into the problems rather than just solving them and moving on. Our teacher only moved onto the next topic when the whole class was confident in solving the current mathematical topic. Although sometimes this type of learning proved to be agitating when one student couldn’t grasp the math problem, I had found that learning this way helped me remember the math topics instead of just speeding through them and getting them done for the credit. It also helped me connect the math we were learning in class to the outside world. A habit of a mathematician that I had used during this project was “starting small” generally because of how the project we set up from the beginning. Learning a basic math concept and as a class connecting to a piece of a bigger mathematical picture. Using all of the small pieces and lessons to come together in one measurement project. This math project will have a lasting impact a my math career as a student and I can’t wait till the next project.
Throughout this project we dived into different topics of measuring. These all connected to the general math concept of measuring. First we started off our classes discussing pythagorean theorem then transitioning from pythagorean theorem into the measurement of right triangles and all of their mathematical properties. This then led into the overview of trigonometry. Through this portion of the project we focused of sine, cosine, and tangent, and their properties. We learned how take shapes apart specifically into different types of triangles. This then led into how to find the areas of complicated 2 dimensional shapes. After studying 2 dimensional shapes we then decided to study 3 dimensional shapes and focus on volume and move away from area. We focused first on the most simple shapes such as cubes and rectangular prisms. Then we moved on to the more complicated sphere and solving for it’s properties. At the very end of this we created our own mini measuring project where we were allowed to measure anything in the world and then present our mathematical journey to the class.
Design Your Own Project:
For this personal design your own project I had decided to work by myself because personally I thought that t would make it easier. I had also decided to measure my living room volume since it is an awkward shape. It wasn't as in depth as I wanted it to be but that is because I had to deal with the whole workload myself and most other people were able to share it between the group.
Reflection:
I thought overall that I could have tried to measure something more interesting than my living room, but procrastination and lack of motivation to work got the best of me and I had to rush this project. I was still interested with how much space was in my living room and also how it wasn’t as simple as I thought it was to measure. I also had ran into some problems along the way like for example, forgetting some important steps in the trigonometry. This set me back a few days in the process of finishing the project because I had to look up online the steps and reteach myself what I had forgotten in the project. Also I would have liked to make a slideshow instead of doing all of my work on a piece of paper. I couldn’t do this because I had procrastinated to much and fell behind on my process on the project.
General Reflection:
Throughout this whole project I have experienced an extreme academic growth and transformed as a student. Also I have gained confidence in my mathematical thinking and my abilities to solve problems that seem more challenging to me. We also took time in generalizing and diving deeper into the problems rather than just solving them and moving on. Our teacher only moved onto the next topic when the whole class was confident in solving the current mathematical topic. Although sometimes this type of learning proved to be agitating when one student couldn’t grasp the math problem, I had found that learning this way helped me remember the math topics instead of just speeding through them and getting them done for the credit. It also helped me connect the math we were learning in class to the outside world. A habit of a mathematician that I had used during this project was “starting small” generally because of how the project we set up from the beginning. Learning a basic math concept and as a class connecting to a piece of a bigger mathematical picture. Using all of the small pieces and lessons to come together in one measurement project. This math project will have a lasting impact a my math career as a student and I can’t wait till the next project.