Tuesday, August 2, 2011

Chap 6: Algebra Puzzle - Solving Equations (Preview) : MY answers !!

My Solution ( Method 1) 
  • 3 pumpkins = 24 ,
  • Therefore , 1 pumpkin will represent 8 . ( 24/3 = 8) 

2 umbrellas + 1 pumpkin = 12 
  • Since 1 pumpkin represents 8,
  • 12-8=4 -> (2 umbrellas + 1 pumpkin) - 1 pumpkin = 2 umbrellas
  • 2 umbrellas represents 4. 
  • Therefore , 1 umbrella represents 2 . ( 4/2 = 2)
2 starfishes + 1 pumpkin = 20
  • Since 1 pumpkin represents 8 ,
  • 20-8=12 -> (2 starfishes + 1 pumpkin) - 1 pumpkin = 2 starfishes 
  • 2 starfishes represents 12
  • Therefore 1 starfish represent 6. ( 12/2 = 6)
My Solution ( Method 2)

Let p represents pumpkin
Let u represents umbrella
Let s represents starfish
  • 3p = 24 
  •   p = 24/3 
  • Therefore, p = 8
  • Since 2p+u = 18 
  • 2(8)+u = 18 
  • 16+u = 18 
  • u = 18-16 
  • Therefore , u = 2
  • Since p+2s = 20 
  • 8+2s = 20
  •     2s = 20-8 
  •     2s = 12 
  •       s = 12/2 
  • Therefore, s = 6
In conclusion , each pumpkin represents 8, each umbrella represents 2 and each starfish represents 6.

Saturday, May 14, 2011

Sec 1 Maths Performance Task Reflections

Statistical Journal 

(I) Role of Statistics in Real Life 

Statistics is a collection of key data . It can be a display of a recorded set of numbers which the key information to show result , tends over a period of time or . Statistics is to organization of data. Statistics may be presented in different forms of graphs or charts. Statistics tells us facts that we do not notice. 

Example : 
Examples of graphs and charts include Line graph , Pie-charts , Bar graphs , Dot diagram , Stem and Leaf , Pictogram and Histogram. 
Bar Graph 

Fact sheet by Singapore Tourism Board 

Source : https://app.stb.gov.sg/asp/new/new03a.asp?id=12283 

Line Graph

Fact sheet 

by Singapore Tourism Board 

Source : 

Using the graphs and charts , we can interpret graphs and draw inferences from what we analyze from the graphs and charts .
Eg : From the graph we can see that most of the people boarding this bus in the morning peak hours are mostly students so we can infer that the bus is to stop at a bus stop where there is a school in the vicinity . 

We can also compare the data in the graphs and charts to have conclusions on the set of data represented by the graphs or charts . 
Eg : The number of mobile phone subscribers in 2000 - 600000 
        The number of mobile phone subscribers in 2004 - 1000000
We can conclude that the number of mobile phone subscribers are increasing at the rate of 100000 each year as the years goes by. 

After collecting data , we have to use tables like frequency table to organize data. Frequency is the quantity of the class of the table. By using strokes , we can calculate the quantity of the class of the table which is the tally . 

Other then the presentation of statistics , we can also utilize the measures of central tendencies like mean , median and mode. They belongs to the group called Average. The most common type of " averages" used in interpreting graphs is mean . This is a number which " eves out" or balances a set of data . We can find the mean by adding up all the values in the set of data and dividing it on the quantity of the values . Next is the median , it is the " middle mark" when the marks are listed in a ascending order. To find the position of the median in the set of data , we can take the quantity of the values in the data and divide it by two if the quantity is a even number or add 1 to the quantity before dividing it by two. Find the value which is in the position ( we had found earlier ) . 

Eg : Set of data arranging in ascending order.      1 2 3 4 5 6 7 8 9 10 11 
        Find the position = (11+1) /2 
                                    = 6 
Number 6 is in the 6th position so it is the median in this set of data . Median is useful when one wants to find out if one is on the better half of the population.  

Lastly it is the mode. The mode is the number that appears the most frequent in a set of data. To find mode ,we can arrange the data in ascending order and find the number that appears for the most number of times. Finding the mode is most useful when you want to establish the latest fashion , fads and trends . 

Eg : Data( arranged in ascending order)  1 2 3 3 3 4 5 6 6 7 7 7 7 7 7 7 7 8 9 9 9 10 

Number 7 appears for the most number of times in the data. 7 is the mode for this set of data.

Eg : When you see most of the people drinking bubble tea , you would know that is the latest fashion - popular ( mode) . 

Source : ACE Learning portal ( Mavis) http://www.ace-learning.com.sg/sys/home/index.php?sd=4121993f7a0ce008ccaac9fbd28a80992226b0&r=683028343 
Information are from the above website but the examples are from Mavis .

Statistics are used in surveys , commercial advertisements to show results in their products , Science questions to present the speed of a object . We can record information and keep track of people in tables in the form of a name list . We can find useful tables in calendars , it might not look like the usual tables that we learnt in school, the days of the week are the labels and the dates are the frequency . 

In newspaper articles , statistics are collected to present interesting facts and figures of national events , particular important events in the national or international and accompany reports. It might not be presented in a graph but in figures.

Eg :   

1. Number of days from Opening to Closing Ceremony = 16 days [exact]

2. Cost of Opening Ceremony Ticket = 5000 yuan [exact] 3. Tickets sold for the game = 7,000,000 [approximated] 4. Number of athletes competing = 10, 500 [approximated] 5. Number of sports = 28 [exact] 6. Number of nations competing = 205 [exact] 7. Number of permanent residents in Beijing (2007) = 16,330,000 [approximated] 8. Number of bicycles in Beijing = 10,000,000 [approximated]
By Miss Loh Kwai Yin ( posted in S101 Maths Blog 2011) Maths Teacher of class S1-01 SST 2011

I think Statistics is a means to show the numerical results in a situation over a period of time. Statistics in reality are collect on a real life situation . I think Statistics do lie in certain cases. Statistics are collected so the person providing the statistics may lie or the person drawing up the statistics could lie purposely or accidentally when there is an error along the way of the process of collecting and drawing up a graph or chart to present the data. 

Eg: A person is collecting data about the salary of the residents in Block 123. A few residents would not like their actual salary

(II) Learning Experience 

My group has decided to work on suggestion 2a) to analysis the data sheet that was consolidated by Ms Loh . Each of us was assigned to be in charge of a zone but our group leader took on the responsibility of two zones . Each of us has to do the statistical analysis , inference and conclusions of the bus services in the zones we were in charged of . We would help  one another when our group members face challenges or problems in the process of generating the information to be put in the poster . We planned the poster together by some discussion of ideas and keeping note of the tips in the presentation slides on the Maths Performance Task Gogglesite .  We had sketch out the layout of the poster on paper . 

Our group co-operates and decides on the details as fast as possible . Every member of our team contributes significantly to this project by playing their part in working on the zones to create results for our poster. We are on task. 

I am in-charged of the statistical analysis of the North zone. I had to analysis the data and skim out the ideal bus services to analyze . After this , I had to plot graphs based on the data accompanying the bus services. I had  used the statistical process to help me better analyze the data to be able to draw some statistical analysis ,  inferences and conclusions for the graphs . 

I was challenged by the requirement to analysis and draw inferences from the data I had to focus on. I was totally at struck at drawing inferences from the strings of numbers and graphs. We found that many of the data of the bus services were invalid for use as they are not accurate . The frequency of the buses in the bus service and the quantity of buses in all the categories of the wait time of the buses does not add up to the same frequency. 
Eg : 

The frequency of the bus in bus service 262 is 7 . The total number of buses in the wait time columns is 6. It does not add up to the same umber as the frequency . 

Simultaneously , other problems like the recurring of the same bus service in some neighborhoods and two of the neighborhoods , West Coast and Marine Parade , has only one valid bus service which failed to meat the requirements of the suggestion 2a) in the scaffolds . We discovered this problem much later so changes have to be make to the graphs and this is very troublesome for us to revert back to the graphs.  

I would start the project early and set goals for myself each day to maintain efficient working time. This is so to ensure that not too much time is spent on only one aspect of the project . Look through the requirements of the aspects frequently to keep abide the requirements and ensure that you do not veer off the right path. 

Cheng Shu Yu Mavis S1-01

 20/5/11 Friday 

Monday, April 25, 2011

CE lesson reflections about Diversity ( Monday - 25/4/11)

1.  Name 3 things you have learnt in this lesson.

I have learnt that every single one of us is unique in their way . We are different from each other in the details even if we appear to be the same as a whole . We should embrace diversity around us.

2.  2 things you have enjoyed in this lesson.

I have enjoyed the activity where we arrange ourselves according to our birthday without communicating and the part where we discussed about our first thoughts that run through our minds when Miss Lim told us to embrace people who were different from you ( diversity).

3. Apart from food , how can differences and diversity be beneficial ?

We can learnt more what others think from the different perspective and allow us to cultivate a accepting nature towards differences.

Mavis Cheng    25/4/11 Monday

Wednesday, April 13, 2011

Poetry - Analysing Imagery

This is the link to the slides .


Source : Copyright © 2002-2010 authorSTREAM. All rights reserved.

Wednesday, February 16, 2011

Bad Designs that we use.

The drain cover


Source : Picture above

Source : Picture on the left.

The problem
The smaller picture above looks more similar to the real drain cover in SST. The drains with gigantic gaps in the covers can be found across a small part of the pathway to the back door , along the top of the steps led to the canteen. People with foots of small surface area encounters a very serious consequence when stepping on the drain.  When I first came to SST, I came in through the back door and stepped right on the drain with the middle of my foot placing on one of the metal line in the drain cover. At that time, I was wearing slippers . I  lost my balance and almost sprain my foot. Luckily I stood on the solid ground with my left foot to support me. People who share the characteristics as mine foot would most likely encounter this problem.

Proposed Solution

The school should purchase drain covers with smaller gaps in between to reduce the risk of  spraining their foot.

The locker


The problem

People would easily catch a glimpse of  our number code when we swing open the lockers. The door would be facing outwards and it is not possible for me to cover it when I am placing me stuff in the locker. If the switch is pointed at 'open' you can reset the code by switching the numbers. I would accidentally brush the combination code device and change the code . Inconsiderate people would reset the code of your locker without you knowing and lock all of your stuff inside. 

My Solution 

The locker should should a small opaque cover for the combination code. They could set a extra switch for code reset.

Tuesday, February 15, 2011

Chap 2: Real Numbers - Rational Numbers

The following fractions share a common denominator: 1/6, 2/6, 3/6, 4/6, 5/6, 6/6.

1/6 is a recurring decimal. 

Janice concluded that all other fractions with denominator are also recurring decimals.

No, I do not agree. Some of the fractions with the same denominator (6) can be simplified . After simplifying some of these fractions, the decimal value for these fractions stop at a point which is terminating decimals.

Eg: 3/30 = 0.1   This not a recurring decimal as the decimals to not repeat.
        1/30 = 0.33333333333333333
               = 0.3( with a dot on top of the number '3'.)
The two fractions above share the same denominator but both fractions belongs to different categories. 
3/6 can be simplified as 1/2. 1/2=0.5 ( Terminating Decimal)
6/6 can be simplified as 1.   1=1( Neither- Whole Number)

Real numbers - Rational Numbers :Exploring Recurring Decimals part 5.


Real numbers - Rational Numbers :Exploring Recurring Decimals part 4.


Real numbers - Rational Numbers :Exploring Recurring Decimals part 3.


Real Numbers - Rational Numbers :Exploring Recurring Decimals part 2.

Real numbers - Rational Numbers :Exploring Recurring Decimals


This part 1 of my post.

Friday, February 11, 2011

Reflections on the making of CNY Hamper .

1.What are we doing?What have we done?
We are discussing as a class on the items that we were to get for the hamper.We have bought decorations and the food with the class funds. After buying the items, same of our classmates work together to wrap up the hamper. We have prepared a hamper and submitted it to be presented it as a gift for the elderly.

How do we think that we are affecting the recipients of the hamper? What will be different for them?

The recipients will be touched that someone remember and are concern about them. They will know that they are not alone and many still understand them. They will feel much more happier and excited to receive gifts of care . They sense that there are people who want to share the joy and festive atmosphere with them.They have more supplies for their needs and they would be more positive .

What could be our next stop to care for this group of recipients.
Follow them along to an trips to some places of attraction to company them . We can help the volunteers with the elderly if he/she needs any assistance in a certain way.

Thursday, February 10, 2011

Real Numbers: Activity 3 - Let's examine the Patterns!

2. (a) A positive number multiplied by another positive number gives a .positive......... answer
    (b) A negative number multiplied by another negative number gives a .....positive..... answer.
    (c)A positive number multiplied by a negative number gives a .......negative... answer.
    (d)A negative number multiplied by a positive number gives a .......negative... answer.

3.      (+) x (+) = Answer:   3X4=12
  • (-) x (-) = Answer: -3(-4)=12
  • (+) x (-) =Answer: 3(-2)=-6
  • (-) x (+) = Answer: -4X2=-8

  • (+) / (+) = Answer: 4/2=2
  • (-) / (-) = Answer: -3/-3=1
  • (+) / (-) =: Answer: 8/-2=-4
  • (-) / (+) =Answer: -4/2=-2

Tuesday, January 18, 2011

Maths: Prime Numbers

Yes, I agree. Even numbers are also numbers. Numbers make up of the building blocks which is the prime numbers. Every even numbers can be express as a index notation.

Monday, January 17, 2011

Post Orientation Reflection

The first of highlight of the Orientation is the successful conquering of one of the 9m high element. I was glad that I did not fall from the element.I was rather afraid of heights and I have never looked down from a great height just standing on a cable hooked on ropes .

The second highlight was the wonderful performance put up by our class. I did not expect the skit to go so well as we did not prepare a script and rehearsal.The last highlight of all is to get to know my new classmates of 2011.

There some low moments during the orientation and the last two weeks, one of it was during camp when i did not challenge the rock wall which i really wanted to because of its level of difficulty.The other low moment was

I learnt that everybody has its own strength and weakness. The greatest takeaway from the orientation was realizing that I have got over my fear of heights. Another takeaway I had from the orientation camp was to lead the class into doing a assignment.

I learnt that by taking a bold step forward you will never guess the outcome.I surprised myself by proving to me that I could overcome my fears and it is possible. I  have never dream that I would climb a intermediate or high element . I had also learnt to try for anything and do not give up in the first place.Give it your best in everything you do.

I look forward to my new CCA that I am joining which is the media club.

Monday, January 10, 2011

Homework Communication (English)

1. Why is communication important?
Communication enables us to convey our message and what we wished to express. If there is no communication between everybody, they will be living in their own world with no interactions between people.

2. What is/are your favourite forms of communication? Why?
I prefer to communicate through conversations and emails . Speaking is the most direct way of communication . I can type out my messages and send them to my friends of we are not able to speak to them.

3. How do you decide which form of communication to use in a situation?
I would choose the most direct and simple way to express myself in different situations.

4. What difficulties do you face in communicating with others?
I face conflicts among people while communicating,difficulty in understanding each other  and different views in seeing various matters.

Saturday, January 8, 2011

Day 2 :End-of-Day Reflection


The very last part of my video was cut off. I meant to say : Everyone is different.They will view many situations in various ways and express it differently too. Yes,I am happy to be in my class.I realized that my classmates are responsive and cooperative too.I believed that we can succeed together.

    Day 2 : Tower Building

    Day 1 Mac Attack 1 - Activity 4: End-of-Day-Reflection

    I have got to know our form teacher (Ms Lim) and classmates during the admin period and as well as the icebreaking games like: 'Blow Wind Blow'.I had familiarized with my register number, locker and house colour. I have learnt the SST cheers and batch dance at the hall, taught by the wonderful  PSLs.

     After the interesting lessons of SST cheers and dance, Ms Lim had begun to guide us into the discussion of the 3'R's. After sharing our ideas and definitions with the class.Together with Nina, Yi Chieh and Wei Siew, we  form a group  to complete the activity. We have to pen our ideas on a large sheet of paper and choose the best one that represents us.

     After lunch, there was a briefing about the orientation camp on 6th Jan to 8th Jan 2011. At about 2:30 p.m.  , We got started on the Day 1 Mac Attack 1 Activities. Ms Lim shared with us the ground rules and the review of the things we had discussed today. We started of with the first activity- a self introduction of myself . I finished my self introduction within minutes to spare. Ms Lim ended the day and told us our homework

    ------ I have learnt that a secondary student has to adapt to being a responsible person, the important roles to play at school and the rights that I have . Being a cyber citizen, I have to know my limits and control myself .

    ------- I am curious about the different and interesting way of learning in SST. I am also interested in applied subjects like media and bio-technology as these subjects are not comman in secondary schools.

    ------- I hope to achieve for SST and represent the school in competitions.

                                     This picture illustrates my growth  in school through the activities conducted . As a group member of the team, I should be participating actively in the group's discussion and I have the responsibility to be sure that we finish our task within the time limit.