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.
What is Happening right now?
Today, our class started a new math unit to keep on inquiring this amazing mathematical world. The unit we will be working for several weeks will be about unknown numbers which can be also called as Algebra. We are learning algebra not just because to prepare for school tests and to compete with other schools, but to know how to calculate challenging equations in certain situations like buying different things which have various costs.
How am I going to Accomplish this?
The way I'm going to accomplish this is to solve an equation using whole numbers which uses algebraic expressions in my math book and when I start to get comfortable with it, I can move on to challenging ones like fractions, decimals, square roots equation, and etc... For example, if you mastered how to solve 3x + 2, you can move on and solve 1/3x + 2, so on, and so forth.
What things do I need to Learn?
I think I need to learn how to solve an equation which contains division and multiplication operations with unknown numbers to accomplish this unit. The reason is, I already mastered how to solve equations which contains operations like addition and subtraction, so I need to move forward if I want to improve and stay away from my comfort zone.
What kind of Skills do I need to use?
I think I need to use the skill of solving various equations using complementary operations because algebra is all about figuring out the complementary state of other operations and use it to find resolutions. That means that I need to be logical of inquiring through different answers by solving various problems in complementary ways.
For conclusion, I hope I can inquire and learn lots of things about algebra and use it in my life efficiently.
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.
What things did I Improve and How?
The 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 was Difficult and why was it Difficult?
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.
How can you use this Math on my Life
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.
What is the Best way for me to Improve my Mathematical Thinking?
I 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!!!
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.
What 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 are Trying to Find Out?
In these days, technology is improving so much. Therefore, almost every people who is living on Earth is watching their screens on the iPad, iPhone or even a computer. In this unit, we were figuring out how much time did I spend on a device over 11 years and how much time will I spend on a device until I die.
What did you Discover?
After doing lots of calculations I found out that I spent my whole life on the computer for 1.7 years. That means over the last 11 years, I spent my life on the computer for 2 hours per day which is ashort periods of time, but if you add it all up to how much days I am living here, it will be a crazy amount. This is the calculation I did for this unit.
All the studio 5 teachers gathered money and ordered 8 slices of pepperoni pizza. Ms.Amanda paid the most by paying 200,000 VND and the rest of the teachers paid each 30,000 VND. However, Ms.Amanda just ate dinner, so she is not hungry at all. Ms.Taryn ate a piece of salad before, so she is a little bit hungry. Ms.Suzanne hates pepperoni and Mr.Pug didn't eat anything for an entire day and he is starving to death. How would they split the pizza and eat it without any consequences?
I think you should split the pizza depending on how hungry you are because then, everybody would be all full and there would be less consequences about eating it. For example, if they split the pizza depending on how much you paid for it, it would be not efficient idea because there would be no point for Ms.Amanda to eat most of the pizza even though she paid the most due to being full after eating dinner. Thus, the other teachers will complain being really hungry. Therefore, I think they need to split the pizza depending on how hungry they are.
Mr.Pug: 4 Pizzas
Ms.Amanda: 1 Pizza
Ms.Taryn: 2 Pizzas
Ms.Suzanne: 1 Pizza
What were you trying to Find Out?
The goal for this unit was to figure out what is the most effective way to split the pizza fairly and support why do I think about it because we want to understand how does sharing objects with other people affect their emotions, personalities and point of views and how can we mentally share it fairly and efficiently.
What did you Discover?
I discovered that in this case, it would be the most efficient way to share the pizza if you split it depending on how hungry you are because if the person who paid the most money eats most of the pizza even though they're not hungry, it would be not fair for people who is really starving because for that person, there's no point for him or her to eat the pizza.
What Surprised you?
Something that really surprised me was that math could be also logical and you need to use it if you want to do something as a community efficiently by treating others equally thinking logically. For example, if somebody is so hungry that they can't hold it anymore, would you want to let them suffer just because you paid the most for the food? I definitely would not.
What were you good at?
From this unit, I learned about myself that I care about other people and I can work in a group efficiently by using our own resources to earn some and share them fairly with others to create greater relationships. For example, in this problem, Mr.Pug was starving to death, so I thought for a second, saving a human life more important than your money? Then, I realized he is one of the best teachers around this school and without him, we can't form studio 5, so I have decided to feed Mr.Pug more than anybody else.
What do I still need to Practice
However, I think I need to still practice to give examples of how did I make up this opinion because I did give some reason of why is this my answer, but some people didn't believe me due to not sharing how I calculated this, so next time, I should justify my claim by showing my calculations.
What do I want to know now?
This unit was really interesting, so this time, I want to know how will you share the pizza if all of the teachers are starving to death and Ms.Amanda paid most for the pizza once again because at this situation, money might influence sharing the pizza, but at the same time, everybody is starving to death, so I think this problem could be more serious business.
For conclusion, it was a good experience to learn how math influence logic.
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