What was I Trying to Find Out?Have you ever got frustrated of measuring all the angles of a triangle using a protractor? I know you have because dealing with various angles using new equipment might be confusing to use. Therefore, in this unit, we learned about how can we measure 2 angles of a triangle and get 1 for free by testing out the tactic on triangle measurements we measured in the last unit called the 'world is formed with loads of triangles.' The reason we're doing this is to learn easy tactics to solve challenging geometry problems for others to solve. What did I Discover?The thing that I discovered during this unit is that instead of having hard time measuring 2 or all 3 angles of a triangle, you can measure only 1 angle and get 2 for free because if you're measuring the angles of the triangle which is split from the hexagon down below, you might notice it is an isosceles triangle, so the 2 angles of it is the same size. Then, if we measure the only angle which has different size than the other angles, it is 120°. Furthermore, the addition of the 2 angles which both has the same size would be 180° - 120° = 60°. Therefore, the 2 angles of the split triangle is 60° ÷ 2° = 30°. You can also do it this way by measuring one angle which has the same size with another and find the one missing angle. 30° + 30° + x = 180° 60° + x = 180° x = 180° - 60° x = 120° What Surprised me?What surprised me in this unit was that you don't need to spend a hard time measuring all 3 angles of a triangle because the only way to measure angles of these shapes is to use the protractor for every angles, but it turns out these dimensional shapes have the power to give the answer to the size of at least 1 angle for free. For example, for a scalene triangle, you need to measure 2 and get 1 for free due to the sides all different while for the isosceles, you can measure 1 and get 2 for free and finally, for the equilateral, you just need to know that every angles of it is 60°. What was I good at?In this unit, I think I was good at showing a good diagram of my thoughts into this project because in each important part to find the resolution, I did a specific label to let others understand what I'm saying and show others that I can turn this problem into an algebraic equation. For example, the equation I made to solve this problem and show others about it is 30° + 30° + x = 180° = 60° + x = 180° = x = 180° - 60° = x = 120°. What do I still need to Work On?However, I think I still need to work on how to write an equation of finding 2 unknown angles because the equation shown down below is an equation of finding only one unknown angle which I want to represent 2, so if people don't understand completely what my equation really means, they will get confused of whether this is right or wrong even though it is right. What do I want to know now?There were lots of new curiosities which I want to solve during this unit, but the most interesting one is finding 7 unknown angles while there is only one known angle from an octagon because it is one of the shapes which can be split into interesting and smaller shapes, so I wonder if I challenge myself and solve this problem, I can get interesting results which can create even more inspiring curiosities than the last one. For conclusion, I hope this has been a great challenge to look back to other units which I thought I have already mastered, but I'm not.Conclusion
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It's about time we need to say good bye to our precious measurement unit. In this unit, there were things that worked out very well, new things that I should improve and effective curiosities from interesting videos, pictures and data. These are the things that happened during this unit.IntroductionThe things that I have improved is that I finally mastered how to convert measurements in different units because in the last few weeks, I have struggled figuring out the rule of converting measurements into kilo, centi and milli. Therefore, I kept on getting wrong answers, so I needed to solve it over and over again until I found the resolution. However, as I learned the milli, centi and kilo rule, I now, understand how to convert different measurements into various units.What things did I Improve and How?I find out converting time into different units is the hardest thing to do because there are no specific rules about them and it keeps on changing when you convert them into bigger or smaller units. For example, you can convert seconds into hours by keep on dividing it into 60, but as it get to days, you need to divide it into 24, 12 and many more.What was Difficult and why was it Difficult?I think the knowledge I can use on my life is that up to 11 years, I have used the computer for 1.7 years because technology is improving so fast that people are spending almost half of their lives on their devices without achieving anything that you motivated or interested at. However, by using this knowledge, I can tell myself that devices are good resources for your life, but if you use it too much, it can be a bad influence for me.How can you use this Math on my LifeI think the best way for me to improve my mathematical thinking is that I should keep measuring variety of subjects to find out interesting results because as I keep on discovering things that I want know about, there would be a new curiosity I want to research in mathematical ways. For example, how did scientists exactly calculated the location of where Neptune using math when technology didn't improve and if a person goes in a water tank which is filled up with water, the amount of water that you spilled as you went in the container is the exact volume of yours, so how water forms interesting results as you have an experiment with it. There are still lots of things that I need to know about this amazing world!!!What is the Best way for me to Improve my Mathematical Thinking?For conclusion, it has been an amazing experience to have experiments using different tools to find out interesting results and have a new curiosity which is related to it.ConclusionWhat were I Trying to Find Out?In this unit, there were lots of things that you could inquire about such as figuring out how much water can fit in your water bottle or be a huge thinker and solve how many dices can fill up the space of a soccer field. I and my partner, Nathan decided to find out if he was a rectangle, how many Nathans can fit in this classroom without leaving even one single gap. What did I Discover?After several calculations, we found out that if Nathan is a rectangle, --- Nathan can fit in the studio 5A classroom without leaving any gaps because the length, width and the height of the classroom is ---, so the volume would be ---. Furthermore, the volume of Nathan is --- having the length, width and height of ---, --- and ---. That means you can fit --- ÷ --- = --- Nathan can fit in this studio.What Surprised Me?Something that surprised me was that I thought Nathan had a volume at least higher than 10, but as his width, and his height is a decimal, as I multiply those numbers to find out the volume, the answer was 0.04... What were I Good at?I think I the thing I was good at was figuring out the precise answer because I used various math skills which I learned to figure out the volume, capacity and etc... of something. For example, this classroom is a trapezoid shaped room, so I found out the volume by figuring out the area of the trapezoid first and then, multiplied the height to earn the volume. What do I need to still Practice?I think I still need to practice measuring the area or the volume of something by exactly knowing the unit of the measuring equipment because when we were measuring this classroom, we thought the unit shown in the measuring tape was all formed of feet. However, as we found out that it wasn't, we needed to measure the entire classroom over and over again. Approximately 3 times. What do I want to know now?Now, I want to know how much A4 papers can fit in this classroom because I thought it would be interesting to find out how much of these flat things can fill up the space of the entire classroom and how much trees would be wasted to do that. For example, in my estimate, I think at least 1 million papers can fit in this classroom which is a waste of approximately 5,000 trees. If my statement is true, that would be an interesting fact. What were I Trying to Find Out?In your life, have you ever wonder how big is your knees or how much your heart weight or how old are you when converting it into seconds? In this unit, we inquired through how does measurement effect our body in different ways such as your height or weight or etc. What did I Discover?After inquiring through our mysterious body, I have collected the data and form into a chart of measurements. While creating the chart, I have discovered that when converting measurements into mili, centi, basic and kilo rules, you need to always multiply or divide it into 10, 100 and 1,000. What Surprised me?What surprised me during this unit was that when you're figuring the volume of your body irregular shaped body, you can just put yourself in a container which is completely full of water, the water which spilled when you got in the container, is the exact volume of your body. This was surprising because water is part of nature and most of the times, when you put experiments to it, it will give some precise results. What were I good at?In this unit, I think I was good at having close estimates because I used the measurement I did like 1 month ago and use various equations to convert the estimate into mili, centi, basic and kilo rules. For example, when I measured the size of my foot, I used the measurement I got from the length of my shoe and subtract by 1 centimeter to get the estimate. However, I still didn't estimate the precise answer. What do I need to work on?Something that I need to work on is that to know how to use the measuring tools appropriately because then, you will not have a precise answer even though you used a high technique tool and also, you can injure somebody by using it as a weapon to hit somebody. For example, when tried to find out what is the volume of my water bottle, I poured the water in the mass cylinder not carefully, so some water spilled. Therefore, I needed to do it over and over again until I got it. What do I want to know Now?There lots of things that you can measure in your body, but what I want to know more is that how can you find the mass or the weight of your foot because if you just put your feet on the scale, the leg will impact the foot's weight. Therefore, I wonder what other ways are there to measure the weight of my feet. So far, I have one idea and that is to chop off our feet, put it on the scale, and tape it back to the legs. ConclusionFor the conclusion, I think it has been a good experience to measure and notice how mysterious our body is and what other questions can we still inquire about. |