Support Programme in Term 3

Please take note of the following schedule for Support Programme in Term 3


You will be provided with handouts for review and practice
  • Term 3 Week 5: Algebra - Expansion & Factorisation
  • Term 3 Week 6: Data Handling
  • Term 3 Week 7: Percentages, Rate, Ratio & Speed
For those who are not in the above list, you are welcome to join the class if you would like to use this session as a revision session for yourself.

Term 3 (1) Level Test 2 (2) Coverage for Term 3

Dear S1-02

This is a gentle reminder of the topics that will be tested in the Level Test as well as the list of topics that we will complete in Term 3.

Note that these information were posted in the GoogleSite > Maths announcement page.




Jarrel Tan (group 3)


This graph compares the educational attainment of our singapore residents non student aged 25 years and above in 2002 and 2012.The education attainment ranges from below secondary qualification up to university degree.

Resident Population by Keagan Wong

I can observe that the number of residents is increasing and it is jus a 2 years jump from 2010 to 2012.

Hohshuxian (Group3)


Mahidhar Reddy (Group 1)

I CAN INFER FROM THE GRAPH THAT INDONESIA HAS BEEN THE TOP NUMBER OF VISITORS AND IN THE END FIRST WAS INDONESIA, CHINA, MALAYSIA ,AUSTRALIA AND FINALLY INDIA.

Yue Sheng (Group 4)

The orange marker is the number of babies born in that year,while the green marker indicates the number of deaths that year.


Joshua (Group 2)


I can infer from the graph that there are more people below secondary school in 2002 and more people in university in 2012 than 2002.

Graph Darryl Chan group 3

Resident population



I can infer from this bar graph that the resident population is increasing from the year of 1970 to 2012.

Resident Population by RussellKohYi Grp: 2



I can interpret from the graph the number of people in the thousands every 10 years and the increase rate through a bar graph.

Number of Deaths & Births (S102 Christian Group 2)

I can infer that there are rise and fall in the line graph. In 2010, The goverment urges the citizen to give birth to more babies, causing the increase in population from 2010.

Educational Attainment (Joel, Group 3)

I can infer from this graph that Below Secondary and Secondary has lesser Educational
Attainment but any schooling higher than that will have more Educational Attainment. This tell me the difference of Education Attainment between Below Secondary and University for 2002 and 2012.

International Telephone Call Minutes (done by Bryan Ho, Group 1)

This graph shows how the amount of males, females and the total that are 25 years old or older who attended school from the year 2002 to 2012. 

Group 4 Ryan Hong

From this graph , I can infer that over the recent years, number of births have decreased and number of deaths has increased. But in the recent 2010, birth rates have started to increase as the government urges Singaporeans to have more babies.

International Telephone Call Minutes (done by: Wynn Yang Group 1)


From this I can interpret that there is an increase in the International Telephone Call in Minutes from 2005 to 2012. The information is represented like this as we will be able to see if there is change in the international telephone call in minutes.


Link to Picture- http://www.singstat.gov.sg/statistics/visualising_data/chart/International_Telephone_Call_Minutes.html

Number of Births and Deaths(Done by Cornelius Lee Group 4)


From this I can infer that the births went down it might be the cause of the 2 is enough campaign and the deaths is rising as the older generation is getting old. Now the birth rate is rising as the government wants to have a population of 6 million.

International Telephone Call Minutes (done by Max, Group 2)



International Telephone Call Minutes (done by Javier, Group 4)






From the above graph, I infer that the graph shows the number of minutes of International Telephone Calls over the course of 2005 to 2012 and that the number of minutes of International Telephone Call has significantly increased over the course of 2005 to 2012. I can also infer that the graph is a bar graph and the number of minutes is shown in millions.

Relationship between my Foot & Height



Click HERE to view the class data


It has been reported that the average ratio between foot size and height is about 3.20. An adult's foot size is about 15% of his/ her total height. What do you think about yours?

Data handling: On your own...

A set of graphs are put up in the website of the Department of Statistics Singapore:
Reference: http://www.singstat.gov.sg/statistics/visualising_data/visualising_data.html

However, these graphs are not accompanied by any description.
Here are some charts that would be of the public interest:
  1. Exchange Rate (S$/US$) (end period)
  2. International Visitor Arrivals
  3. Trends in International Visitor Arrivals by Country of Residence
  4. International Telephone Call Minutes
  5. Number of Births and Deaths
  6. Mean Years of Schooling
  7. Educational Attainment
  8. Resident Population 

Your task:
  • Interpret the graph (that you are assigned to)
  • Write a short a paragraph to provide the reader an overview of the information presented. What can you draw out from the graph? Talk about your inferences. It should not be at less 20 words
Submission of Work:
  • Subject title: (e.g.) International Visitor Arrivals (done by Nimalan, Group 5)
  • The posting should have a screen capture of the graph (available in the website)
  • Key in the paragraph below the image
  • Include the URL at the end of the paragraph.
To be submitted by Wednesday 24 July 2013 (2359h)

Let's Ponder (Discussion 1): Is it true that...

In preparation of the I&E Bazaar, class S1-10 conducted a survey and found that the McDonald's "Crispy Chicken Breakfast Deluxe" meal is very popular amongst the SST students. They decided to sell a similar breakfast set in that morning. 

To advertise their stall, they included the following chart in their promotional flyer. 
Their publicity gimmick was, "We are one-third of what you normally paid!"



From a consumer's point of view, what is your reaction to this publicity stunt?
Hint: Remember to elaborate your response by applying what we learnt in this topic

Remember to include your Group number before submitting the comment.

Let's Ponder (Discussion 2): Is the Change really Significant?

In the annual Town Council report, it reported the effort put in to improve the environment of the residents in the area it was in-charge of.

One aspect is the collection of refuse, which was a feedback by the residents.
The diagram shows the reported non-collections of refuse as a percentage of the total number of households in a town


Study the above diagram carefully.

1. Do you agree that the Town Council has made significant improvement? Why?

2. With reference to the visual representation, point out at least 2 areas that need improvement.
- Why do you think these 2 areas require improvement
- Suggest how to improve the representation.

Remember to include your Group number before submitting the comment.

Let's Ponder (Discussion 3): It's a "Fair" Representation?

The diagram represents the sales of socks at the bookshop in the months of April and May. In April, she sold 10 pairs of socks.

To report the improved sales to the company, the bookshop auntie represented decided to represent the sales using a 'pictogram'.



Does the above "pictogram" give a fair representation of the socks sold in these 2 months?
Give a reason to your answer.

What would you suggest to the bookshop owner to present the sales in an 'objective' manner?

Remember to include your Group number before submitting the comment.

"Singapore, a data driven country"

  • Why is data important to Singapore?
  • How do the different government & non-government agencies make use of such data for planning?

The Statistical Department is set up to

"...develop and maintain a national statistical system of quality, integrity and expertise. As the National Statistical Authority, the Department provides reliable, relevant and timely statistics to support Singapore’s social and economic development.

In addition to collecting, compiling and disseminating a wide range of official statistics, the Department also analyses and monitors economic and social trends, and develops and maintains national statistical databases. As the National Statistical Co-ordinator, the Department coordinates statistical activities in public agencies, provides advice on statistical subject-matters, and develops and promotes the observance of national statistical standards."

Source: http://www.singstat.gov.sg/about_us/about_us.html#vsms

Singapore in Infographics
Source: http://www.singstat.gov.sg/statistics/visualising_data/visualising_data.html

Trends in Singapore Population - The Population Pyramid

Click at the following link to view the "Trends in Population"from Y2000 to Y2012

http://www.singstat.gov.sg/statistics/visualising_data/visualiser/population/population.html

Here's how the visual representation looks like (image)

The comment at the end of the visual:
Singapore's population has grown older over the years. The age pyramid shows the population ageing since 2000, with the number of residents in the older age groups increasing significantly. The median age of the resident population rose from 34.0 years in 2000 to 38.4 years in 2012.


Inaugurated in January 2011, the National Population and Talent Division (NPTD) strives to achieve a sustainable, connected and integrated population for Singapore. NPTD drives the coordination and implementation of population and talent policies across Government agencies. These include policies in the areas of population augmentation, supporting marriage and parenthood, talent attraction and retention, immigration and naturalisation, integration of newcomers, and engaging overseas Singaporeans.

Source: http://en.wikipedia.org/wiki/Prime_Minister%27s_Office_%28Singapore%29

As a team, after viewing the animated visual representation,
discuss, what are other information can we draw out from the population pyramid that NPTD would find useful in its planning and policy implementation?


Enter your response in "Comments".
Remember to include your Group Number and Team Number in the response.

Let's Ponder: Representation of Data - "Out-of-the-Box" way

The number of dengue infections has risen to an alarming number in 2013. NEA has been providing the public with updates, and at the same time sending alerts via the media to caution and educate the public.

Below is one of the ways that NEA presents information updates to the public.
Click HERE to access the actual visual representation.

Compare this "way" of presenting data with the "conventional" way of presenting data.
Discuss the advantages & disadvantages of presenting data in this manner.
Hint: Take different perspectives (e.g. Layman, Scientist, Doctor)




Click HERE to view the responses

Interpreting Data



(A) Singapore in Figures 2013

A collection of data presented in charts & tables without elaboration/ interpretation of data
Link: http://www.singstat.gov.sg/publications/publications_and_papers/reference/sif2013.pdf

(B) Singapore Household Expenditure Survey

This report presents the main findings of the latest Household Expenditure Survey (HES). Topics covered include household consumption expenditure, households’ income, socio-economic characteristics and ownership of selected consumer durables. Changes compared to the results of previous HES conducted in 2002/03 were highlighted and detailed statistical tables presented.                            
Source: http://www.singstat.gov.sg/publications/publications_and_papers/household_income_and_expenditure/household.html

Click HERE for the Full Report

Reading the Report... How data is interpreted
See p4-p6: Significant Increase in Spending on Food and Transport





On your own...

A set of graphs are put up in the website of the Department of Statistics Singapore:
Reference: http://www.singstat.gov.sg/statistics/visualising_data/visualising_data.html

However, these graphs are not accompanied by any description.
Here are some charts that would be of the public interest:
  1. Exchange Rate (S$/US$) (end period)
  2. International Visitor Arrivals
  3. Trends in International Visitor Arrivals by Country of Residence
  4. International Telephone Call Minutes
  5. Number of Births and Deaths
  6. Mean Years of Schooling
  7. Educational Attainment
  8. Resident Population 

Your task:
  • Interpret the graph (that you are assigned to)
  • Write a short a paragraph to provide the reader an overview of the information presented. It should not be less than 20 words

Submission of Work:
  • Subject title: (e.g.) International Visitor Arrivals (done by Nimalan, Group 5)
  • The posting should have a screen capture of the graph (available in the website)
  • Key in the paragraph below the image
  • Include the URL at the end of the paragraph.
To be submitted by Tuesday 16 July 2013 (2359h)

Coverage for Term 3


1. Week 1-3 Statistics
2. Week 4    Ratio, rate & speed
3. Week 5-6 Functions & Linear Graphs
4. Week 7    Direct & inverse proportion
5. Week 8    Number sequences
6. Week 9    Basic Geometry & Polygons
7. Week 10  Geometrical Construction

Data Handling: Mean, Median & Mode

Measures of Central Tendency or Averages

Arithmetic Mean
  • The arithmetic mean of a set of numbers is the sum of numbers divided by the number of numbers in the set : Mean = sum of the numbers/number of numbers
  • It is most the reliable measure provided there are no extreme values in the data because all the values in the data are used in calculating.
  • Whenever the set of data contains extreme values, the median or mode would probably be more reliable because they are not influenced by extreme values.
Mode
  • The number which occurs most frequently in a set of numbers
  • It is most useful in business planning as a measure of popularity that reflects central tendency or opinion.
Median
  • May be preferred as a measure of central tendency for describing economic, sociological and educational data.
  • The median is popular in the study of social sciences because much of the data in the social sciences contain extreme values, in the set of household incomes.
  • Median for an odd number of numbers is the middle number when the numbers are arranged in order of magnitude (i.e. ascending/descending order)
  • Median for an even number of numbers is the mean of the two middle numbers when the numbers are arranged in order of magnitude

Data Handling: Bar Graph vs Histogram - The Challenge

Ms Manju, the school librarian, makes use of the database management system to keep track of the loans by students.

Each month, she would present the data below in a bar graph. The bar graph shows the total number of books borrowed by category from January to May.


The Challenge
From the way the system captures the information, there are more useful information that can be extracted from the system for use.

Suggest to Ms Manju how she could make use of the data captured in the system to present a different set of information (other than the number of books borrowed by categories) using a histogram. Elaborate how this information can be used to work out with a strategy to encourage students to read more books.

As a group, present your suggested solution in the A3 paper provided. You may do 'mock up' on how the histogram looks like. Remember to label the axes of the histogram clearly.

Below the histogram, elaborate how this information can be used to work out a strategy to encourage students to read more books.

Submission:
Submit your answer to Ms Loh's pigeonhole upon completion (Friday 12 July 2013)
Remember to include your Class, Group number, Name of Group Members at the bottom of the paper.

Gentle Reminder... Work Submission

The following items must come in by the last period of this week:
1. Percentages - Study Notes 
2. Percentages - Homework that was done in foolscap papers
3. Topic Revision - Linear Equations 

Meanwhile, remember to bring the Study Notes on Statistics from next lesson onwards.

Menu for tomorrow 2 July 2013 (Tuesday)
  • Time Trial for Topic: Linear Equations/ Linear Inequalities
  • Data Handling: Diagnostic Test