Yearlong Project October Update

THE PLAN-

The family project that I will use is to when we are sleeping, we can set a timer for the fan so that the fan won't be on until next morning when we get unconscious, to turn off any electronics that is left on when we're going on a trip, being sure to unplug machines as they have stand-by functions that consume energy even though they are turned off, keeping doors or windows shut when the air conditioner is on, turning off the water when I am brushing my teeth because it will not only save water but it will also save the electricity it takes to pump and heat the water, and so on. By setting a timer for the fan around 3 hours, it can save electricity by automatically turning it self off. Although our family uses the fans at full maximum power, we can save time so that we can cut down on our energy consumption. According to the manager of my apartment, our apartment has around 200<x<300 air conditioners (x is the amount of air conditioners there are but the management is not so sure)... The air conditioners are used around 5 times a week with more than 50hours. They are not used at night in all of the bedrooms, as there are more fans than air conditioners in our apartment.

Reflecting on my electricity monthly table, my family has been doing great at decreasing the amount of Kwh and meeting the goals listed above. For the first month, I had 636kwh but on the next month, my electricity bill was 550kwh, which is a decrease of 86kwh. For September to October, my electricity consumption has decreased from 550kwh to 507kwh, which is a decrease of 43kwh. I think that the reason for this decrease is because one of my "family" members went back to Cambodia last month (my maid). My maid also consumes electricity so since she is gone, I am not surprised that my monthly electricity consumption had decreased. My family also has done many ways that have mentioned above. Due to this project, our family had saved both the amount of energy used and our economic finances. Before this project, my family was doing a decent job on having a stable low energy consumption as we didn't use air conditioners at night, and other ways that didn't consume that much electricity. We used to have a maid living in our house until the first week of October, she decided to quit her job and fly back to Cambodia to visit her sick dad. This had even more decreased my family consumption as my maid who used fans, mobile chargers, and other electronic devices left. According to the management office, they say that there are approximately 223 air conditioners in this apartment (including the office). The temperature that my family sets is various although the most common temperature that we use is 23 degrees Celsius. For my family, we roughly use 2 hours on an average day although the air conditioners are mostly used to keep the teachers comfortable. Our family uses the air conditioners to make the air in the room cooler than with the fan as it helps to keep a cool temperature for my saxophone to protect it from humidity, and to make the air cooler than a fan. Recently, I have asked the management office and they stated that the total amount of hours the whole apartment consumes is around 34 hours. My family only uses 6% rounded for the total hours of air conditioners used in my apartment, which means that we aren't using that much electricity for the air conditioners. Not only does our family uses air conditioners, but we also use electricity for TV's. In our family, we have 2 TV's in total and we use them about 4 hours a day. The management doesn't know the real amount of televisions in my apartment although in the last two years, they did a survey to all the people in the apartment. The amount of TV's listed on the survey was 98. In a day, they said that 22 hours is the amount of hours the whole apartment uses. My family only uses about 9% rounded out of the total amount of hours used for the television per day. To talk more about my family habits, my family doesn't watch that much TV these days as before as the only thing that our family uses it is to watch news and sports and the amount of homework that my brother and I have collides this too. My mom and dad are starting to not watch the TV but use their Samsung Galaxy Tabs and phones to watch documentaries on their tablets, which I can say is conserving electricity and the TV usage. To conclude, this data table above shows me that my family is doing decent job on decreasing the amount of energy used although I can't guarantee that it will keep on decreasing even more.

Another Math Puzzle... YAY!

Hungry Horace=50kg

Curly Kate=35kg

Tiny Tim=25kg

 

Please do scroll down to see my work and check... 

( I apologize if it is TOO long). To find out the weight of the individuals, I have done this:

I have marked Hungry Horace as H.
I have marked Curly Kate as C.
I have marked Tiny Tim as T.

Here is the equation for the first statement: Hungry Horace and Curly Kate put the 10c in and got on the scales: The dial showed 85kg:

H+C=85

Since I have found what Hungry Horace is (scroll down to see the weight of Hungry Horace), I have substituted H for 50.

50+C=85
-50        -50

C=35

Curly Kate has a weight of 35kg.

CHECK:

50+35=85

85=85
 :)

Here is the equation for the second statement: Tiny Tim got on and Curly Kate got off. The dial went down to 75kg:

H+T=75

We can use the equation T=25 in the bottom of the page to substitute the variable "T"

H+25=75
     -25  -25

H=50

Hungry Horace has a weight of 50kg.

We can conclude that C=T+10 because due to the fact that Tiny Tim got on, the weight has decreased 10kg which is my evidence.

CHECK:

50+25=75
75=75
:)

Here is the equation for the third statement: Curly Kate got back on and Hungry Horace got off. The dial went down to 60 kg:

C+T=60

If we substitute C with the equation above, here it is:

T+10+T=60
2T+10=60
       -10  -10
2T/2=50/2

T=25

Tiny Tim weighs 25kg.

CHECK:

35+25=60
60=60
:-)

Perfect Square/Cube

 

Which number (after 64) is the next number that is BOTH a perfect square and a perfect cube?  64 = 8 squared and 64 = 4 cubed  

 

The answer is :729

Here is my work:

The next fifth cube number is 125 because 5x5x5=125

But it can't be a perfect square and a perfect cube although 125=5 cubed.

The next sixth cube number is 216 because 6x6x6=216

But it can't be a perfect square and a perfect cube although 216=6 cubed. 

The next seventh cube number is 343 because 7x7x7=343

But it can't be a perfect square and a perfect cube although 343=7 cubed

The next eighth cube number is 512 because 8x8x8=512

But it can't be a perfect square and a perfect cube although 512=8 cubed

The next ninth cube number is 729 because 9x9x9=729

But it CAN be a perfect square and a perfect cube although 729=9 cubed

729= 27 squared and 729=9 cubed.

Algebra Puzzle 2

VALUE OF POPSICLE: 12

                   Ladybug: 13

                    Flower: 24

 SCROLL DOWN TO SEE MY EPIC WORK:

      

                           Find the value of each object in the puzzle. The numbers given represent the sum
                            of the objects in each row or column. You must look for relationships among the objects.

                     Show your work and how you figured it out when you post an answer!

Here is my work:

I realized that I could make some equations to prove what each symbol stands for. Here is my work:

 Flower + 2 ladybugs=50

2Flower + 2 ladybugs =74.

From this, I can tell that one flower is equal to 24 because by adding a flower to "flower + 2 ladybugs", it turns out to be 74. 

Since the flower is equal to 24, we can create equations with variables:

(I have used ladybugs as the "x" variable sign"

24+2x=50

-24         -24

2x=26

/2     /2

x=13                     So to conclude this, a ladybug is equal to 13

To check, you can use the other equation (the horizontal equation)

2(24) + 2( 13)=74

48+26=74

So it is right after all.

To find the value of the Popsicle, I used the equation which is equal to 60.

(Ice cream is "y" variable for the next two equations)

Equation:

2(24) + y=60

48+y=60

-48      -48

y=12             So the value of the Popsicle is 12. 

To check, I have used the other equation which the sum is 61. 

24+2y+13=61

37+2y=61

-37        -37

2y=24

/2     /2

y=12

Birds in Tree A & B

Energy Use Per Capita - Unit 2 Project

 

   Recently, I have done a Google search as a tool to compare my energy consumption to other families around the world.  As you can see, in 2009, the per capita for the world is from 1500< x<2000. This is way more than my family consumes in a month. The majority of people in 8B has consumed more than what I have which is surprising. They even reach in the thousands which is sort of relevant and close to the data above. As a result, the world per capita has consumed in the thousands whereas my family has consumed below a thousand Kwh. For one person in my family, he/she consumes around 159Kwh which is quite low.

Unit 1 Blog Post

-->UNIT 1: EXPLORING and COMMUNICATING MATHEMATICS

  -->

              Previous learning is necessary to study integrated math as for unit 1, you need to know what perimeter, area, exponents, order of operations, knowing the names of polygons, as you would have a hard time solving integrated math problems. For example, if you know what perimeter and area means and how to find them, you can easily use algebra tiles, and variable expressions. If you know what perimeter and area means, then you can use algebra tiles as a source of tool to help you understand area, perimeter and the distributive property. Unit 1 also includes exponents so if you know what exponents are, you can easily find patterns and variable expressions. If you don’t know the concept of exponents, you might have trouble seeing what are the like terms. Order of Operations is also a significant concept for integrated math as you may have trouble expanding an equation full of brackets, symbols (like multiplication, exponents, division, and so on), variables and numbers. Knowing the names and the categories for polygons is important in integrated math as in integrated math; you are also studying geometry and equations. An example that signifies the importance of geometry in integrated math is to find a polygon with same length, you need to use tick marks, lower case letters, variable expressions to express the same side lengths. Also you need to find the surface area, volume, area, perimeter, etc. as it is an important skill in integrated math, which is included in Unit 9. So what do you think, is previous knowledge important to study integrated math?

 This is my math project:

Thinking Creatively and Communicate Effectively is shown in this project as this idea behind my project is indeed creative. It is creative because I have used the idea of a globe and added mathematical symbols on it to show that math shapes our world and that math is used in almost everything. Another evidence which shows my creativity in this project is I have used Google images and added them in this project. Although my project look's "out of shape", I have used my imagination and planned everything out. I am also communicating effectively in this project as I have organized my plan and clarified my ideas in my mind. In my written part, I have wrote clear passages and stayed on topic all the time. My passages are easy to understand so the readers will be able to not be confused. 

For my work habits in Unit 1, I would say that I was good as I turned in most of the homework assignments and projects on time. Although I forgot to do my homework once, I have participated class very well with the class activities. For my effort on my project, I gave myself 100% effort as I am very prepared at did my first draft to be ready for the final project. I realize that I have forgot to put my name on my logo although other than that, I had a creative idea which was putting all the symbols on my "little square globe" and my written response was very descriptive. Next time, I will read the instructions more carefully and put my name on the project.