- I would find the rate of change of the story, and then find where the “y” starts (for example “Jack had 500 buckets of water at first”). Then, I would use the slope and y intercept to make the equation.
- I would first use two “x and y” values to get the slope (y2-y1/x2-x1), then use (y2-y1/x2-x1) to solve for the x intercept, by making 0 one of the x values. Then, using the the y value found in the equation, I would use that to form the equation.
- I would take two “x , y” values from the graph (e.g. 0,5 and 6,11), and plug it into the (y2-y1/x2-x1) equation to get the slope. Then, I would look on the graph to see where the line touches the y axis. If it is not clear, then I would use (y2-y1/x2-x1) to solve for the x intercept, by making 0 one of the x values. Then, like before, I would plug it into the equation.
- If I am given a table of values, I would just take two points, plot them, and draw a line.
To derive y=mx+b using similar triangles, I would draw a triangle with the hypotenuse on the line on the graph. As all triangles that are similar to the triangle I just drew, I would find the two outer lengths of the triangle, which would be the slope. Then, I would see where it crossed the x axis. However, if I knew the slope, then I would know that all the triangles on the line would have the ratio 2:3 for the rise and run. Then, I would know that the right triangle that (0,b) and (x,y) forms would have the ratio m:1. I would know that the horizontal side of the triangle is “x”, and “y” length of the triangle would be y minus b (y intercept). I would then know that (y-b/x)=m/1, which simplifies to y=mx+b.
Showing posts with label math. Show all posts
Showing posts with label math. Show all posts
Saturday, 10 October 2015
Formative Reflection
Thursday, 27 November 2014
Math "Height of A Building"
Today, we worked mainly on how to roughly estimate the height of a tall light post, and we did that by using a shadow. By looking at the shadow and the "triangle" the pole made, and comparing it to a ruler as an equivalent, we could divide the shadow of the pole by the shadow of the 1 meter ruler to get the answer, which was 25 meters, while our group got ≈ 30.82 meters. As the ratio of the shadow of the pole to the pole is 22.5 : X, and the ruler was 0.73 : 1 meter, if you divided 22.5 by 0.73, you would get the approximate length of the pole. However, as we took the measurements five minutes apart, and the sun wasn't in a perfect position to measure the best, we did not get very close to the heigh of the pole, which was actually 25 meters.
Saturday, 4 October 2014
Investigation 1 Blog Post
I have found that changing a percentage to a ratio has made a lot of ads seem much clearer if there is a large difference or the huge percentage difference. As there could have been just 3 people voting, and if one person says no and two people say yes, it is automatically a 50% difference,but there is not much difference in the number of people.
Part to part ratios are ratios which compare one part to another part, whilst part to whole ratios compare the whole thing to one part.
You can scale or use equivalent ratios to solve a proportion by making both a fraction, then making the denominators equal to compare them properly.
You can scale or use equivalent ratios to find out if 9/11 of a packet or 6/7ths of a packet is more, and choose the one that is more.
Part to part ratios are ratios which compare one part to another part, whilst part to whole ratios compare the whole thing to one part.
You can scale or use equivalent ratios to solve a proportion by making both a fraction, then making the denominators equal to compare them properly.
You can scale or use equivalent ratios to find out if 9/11 of a packet or 6/7ths of a packet is more, and choose the one that is more.
Tuesday, 9 September 2014
Unit 1 Reflection
1. The common properties of all polygons are they all have at least three sides, and have at least 180 degrees. Also, the sides do not cross each other. Exactly two sides meet at every vertex.
2.The measure in degrees tells you if it is an acute, obtuse, straight, reflex, or right angle. Some common benchmark angles are the ones that are divisible by 30°, 45°, or 90°. Examples are 120°, or even 315°.
3. To estimate angle measure, one strategy is to draw a midpoint on the middle of the angle. Then, use a compass to draw a circle around it. Afterwards, you can draw in the "benchmark angles", and then estimate from there. Or, you could just do an estimate by drawing it in your head. To find accurate measurements with tools, put the centre of the bottom line of the protractor on the part where the two angles touch, make sure the angle line on the bottom is aligned with the bottom line on the protractor, and measure.
2.The measure in degrees tells you if it is an acute, obtuse, straight, reflex, or right angle. Some common benchmark angles are the ones that are divisible by 30°, 45°, or 90°. Examples are 120°, or even 315°.
3. To estimate angle measure, one strategy is to draw a midpoint on the middle of the angle. Then, use a compass to draw a circle around it. Afterwards, you can draw in the "benchmark angles", and then estimate from there. Or, you could just do an estimate by drawing it in your head. To find accurate measurements with tools, put the centre of the bottom line of the protractor on the part where the two angles touch, make sure the angle line on the bottom is aligned with the bottom line on the protractor, and measure.
Saturday, 17 May 2014
Financial Report -- Investments for Profits and Bros
Financial Report of Profit and Bros 
By Aiden and Aditya
Mr. Hardinge invested “$10,000” into our portfolios of 5 companies on 5/12/2013, They were American Express (AXP), Google (GOOG), Apple (AAPL), Toyota (TYO:6201), and Tigers Polymer Company (TYO:4231). This portfolio performed in positive profit territory for nearly the entire period, apart from early February and early May.
The average profit was $388.43 (average of each update)or a 3.88% of the portfolio starting value.
The initial period from 5/12/2014 to 25/1/2014 saw a gradual rise in profit, reaching a peak of $1,094.68 (10.94% increase).
In the table below, you can see the beginning and current prices of our portfolio shares for our companies, and the highest and lowest price. Additionally, the range shows the growth of the company between the start and the end. Also, from the graph above, you can see the trend was mostly a profit, with very little loss.
“Investing” in our company was a good idea at the start, as we made a lot of profit, and since it is rising again, I would advise you to continue investing in our shares.

Tuesday, 29 April 2014
Coldest and Hottest Places on Earth
Vostok Station in Antarctica is one of the coldest places on Earth. The Russian research station is where the lowest recorded temperature was taken at -89.2 degrees Celsius (-128.56 Fahrenheit). Antarctica is not only the coldest place but also the windiest and has the highest overall elevation of any continent in the world. Despite the fact that Antarctica contains 90 percent of the ice in the world, it receives almost no rainfall, making it technically a desert. The absolute value of this temperature is 89.2 degrees Celsius.
Al’Aziziyah, located in Northwest Libya, is one of the hottest habitable places on Earth. On Sept. 13, 1922, a high temperature of 57.8 degrees Celsius (136.04 Fahrenheit) was recorded in Al’Aziziyah. Later, experts discounted the reading, mainly because they said the person who took it was untrained, but the area is still considered one of the hottest in the world. The absolute value of this temperature is the same, 57.8 degrees Celsius.
Wednesday, 12 March 2014
The SugarPact
As a part of our ratio unit we investigated the ratio of sugar in a variety of sodas. We were pretty alarmed at how high the sugar content was so we investigated some of the harmful effects of consuming too much sugar. This lead to us working in teams to create a math based video that presents a recommendation of what the government could do in order to reduce soda consumption in Singapore.
What I learned from the video is how much soda impacts us, and how important it is to regulate the amount you sugar you eat and consume in a day. I also learned in a group that collaboration and teamwork is really important as you can't really get work done if you don't collaborate and work well. The most enjoyable thing that I did in this project was the filming, as I could have a laugh and make some jokes in the filming process. Learning and applying math through these type of projects is very useful as it is memorable and a great experience.
)What I learned from the video is how much soda impacts us, and how important it is to regulate the amount you sugar you eat and consume in a day. I also learned in a group that collaboration and teamwork is really important as you can't really get work done if you don't collaborate and work well. The most enjoyable thing that I did in this project was the filming, as I could have a laugh and make some jokes in the filming process. Learning and applying math through these type of projects is very useful as it is memorable and a great experience.
Friday, 17 January 2014
Tuesday, 3 December 2013
My Minute Scores
This graph tests my general math knowledge. It indicates that I am quick, but sometimes careless in my "minute" scores.
Wednesday, 28 August 2013
The 3 Most Important Things
The three most important things for me to remember when working in a group are to be time productive, as if my group uses up all our time on one question, we will fall behind. Also, effective communication is key, as without that some ideas may not be known. Finally, this is the most important: be happy with your team. If not, you should switch teams, as research shows people who are happier peform better.
Thursday, 22 August 2013
Respect and Protect
These are the things that are the most important when using a laptop, and will change your future in tech..........
Yesterday, we learnt about the DCA, short for the digital citizenship agreement. In the class, we learnt about the aspects of the agreement, for example copyright rules, privacy, and policy. The most important points to remember are these -
Yesterday, we learnt about the DCA, short for the digital citizenship agreement. In the class, we learnt about the aspects of the agreement, for example copyright rules, privacy, and policy. The most important points to remember are these -
- Respect and Protect Yourself
- Not to post any silly information or private information on the web. This literally means not to post any private information that will harm you in the future or make fun of you in any way by any means. Other people could also tease you about it and it could go viral.
- Not to post any pictures of yourself on the web.This will give away what you look like and let others know your personal identity, and will be able to track you. Others will also be able to see you and if it is embarrassing, you will be harmed in the future.
2. Respect and Protect Others
- Not to post rude opinions or facts about other people. This usually insults others as if they see a bad picture or fact about them online, they might get really cross and get quite mad. They will also start to "carry the chain" which means they will take out their anger on another person, and it goes on and on and on.........
- Not to post something rude about another person behind their back. This is worse then when the victim gets to see it as he doesn't know what is going on and could by socially bullied, or cyberbullied by others without knowing why.
3. Respect and Protect Property
- To look after your computer. You should never leave your computer lying around, as someone might try to steal it, and you must never leave any food or drinks around it. This will cause the computer to break if the drink or crumbs spill on it. You should never leave in your overstuffed backpack or stack books on top of it in your locker. This will crack your screen and the computer will break.
- Come to school prepared to work, with a charged battery, laptop in case, and earphones. This is extremely important as without a charged battery, you will not be able to participate in any activities using a computer if the laptop runs out of battery. You must always have it in your case, as if you take it out, and it drops, it will crack the screen or it will break entirely. Earphones are also extremely important as you can't have 316 laptops playing ear-piercing music. You should be able to listen to your music, but not anyone else's.
4. Respect and Protect Intellectual Property
- Not to download or copy any pirated pieces of music, and to purchase original tracks. This is a must as even as silly as it might seem, it is stealing. Imagine if you posted an amazing picture of a sunset and then suddenly it went viral and 10,000 people were using it for free on their profile. If you created your own music, you also don't want others publishing it off as their own or taking it for free.
- No peer to peer or torrenting. This is pretty important as if you download these on your laptop, there might be a "trojan horse" or even a ".bit" file that you don't want and when you delete it it gives you a virus. There are lots of things people on the outside can do to harm you, and you better beware of the dangers.
- Properly cite the media or software you have used in your published piece. This is also needed as others need to know the photo is not yours or if it is yours when you made it. It also helps stop copyright and other laws like that, so you should do it!
(from : http://www.blogcdn.com/www.tuaw.com/media/2010/03/iphone-battery-icon-cjr.jpg)
I used to think that it was fine to get free music or pictures from the internet, as I thought the website got permission to use it, so I could, but now I realise that you shouldn't do that as it is really annoying to the person that made it as you are getting his work for free. Another thing I learnt throughout this DCA is never to post any private info on the web. I knew that before, but I never knew the impact was that serious.Last but not least, I know about the DCA and will follow it for the rest of my time in school and while using a computer. In fact, what do you think about the DCA? Do you think it is necessary or not? Feel free to comment any feelings or opinions you have about it.
Finé
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