Chap 16 (Class Activity) Stem-and-Leaf Diagrams - Our Worst Haze Days

Reference: Worksheet 4 (p2) Constructing a Stem-and-Leaf Diagram...

Because of Singapore's geographical location, we are impacted by smoke haze when there are forest fires in the region and the prevailing southwest monsoon winds blow the smoke from the fires in our direction, which usually occur in the period of May to October.

In the past 10 years, Singapore has experienced several "worst" haze days.

Let's complete the back-to-back stem-and-leaf diagram that shows the PSI (Pollutant Standards Index) values of the two such instances in the decade and make a comparison of these 2 haziest periods.

The PSI values of 2006 October is shown in the table below (left).

Comment on the Median PSI value in 2006 October.

Are you able to tell the mean and mode from the stem-and-leaf diagram?

Now, visit the NEA website to find out what the PSI value of the days in June 2010.

Complete the table in the worksheet, and make a comparison between the 2 sets of data.

• http://app2.nea.gov.sg/psimonthly.aspx

What are your observations?

Chap 16 (Class Activity) Dot Diagrams - Weather in Singapore

Reference: Worksheet 3 (p2): Constructing a Diagram to do comparison

In a travel guide about Singapore, it was highlighted that "The Temperature hovers around a diurnal range of a minimum of 23 degree celsius, and a maximum of 31 degree celsius. June is the hottest month of the year in Singapore, followed by May. "However, in 2010, February was reported to be the driest month.

Let's do a comparison using the dot diagram, to compare the temperature in February 2010 and June 2010.

Below is the dot diagram that represents the maximum temperature of each day recorded in June 2010.

Find out the mean, mode and median of the maximum temperature of month June 2010.

Here's the temperature of each day recorded in February 2010.

Alternatively, you may click HERE to view access the website.

Draw a dot diagram and compare it with that for June 2010.

What is your observation?

6 AM Quiz (Problem Solving) Is the problem obvious?

Do you think Mr Kanbili is fair and Mr Ong should accept the suggestion?
1. What is your stand?
2. Give an example to illustrate your stand.
3. Explain how you come to this conclusion (Hint: Use algebra).

Note that the quiz is not a compulsory activity.
It serves to stretch our mind a little to see how we apply what we learn in classrooms in real world :)

Information on PSI in June 2010

Dear all,

I have attached the information on the PSI index in Singapore in June 2010.

Chap 16 Frequency Table - What can we gather from this data?

After one term, the canteen vendor that sells snacks decides to collect some data that would help them in the planning of resources during the term.

Here's the set of data gathered:

Chicken pies bought per person	1	2	3	4	5	6	7
Number of people	1	15	9	4	6	3	2

Make an attempt to figure out what information can be "drawn" from this set of data gathered.
Put down at least 3 pieces of information you can draw out from the above table.

Chap 16 Histogram - Let's interpret

Complete this task as your daily exercise

Chap 16 Summary of Data Collection and Different Kinds of Graphical Representations

The materials in the BBC Skillwise & GCSE Bitesize websites summarise what we have learnt in Chapter 16 so far:

Data Handling

• Collecting Data: Tallying, Collecting and Grouping Data (Revise, Activity, Review)

Graphical Representation
1. Graphs and Charts:

• The 5 Factsheets provides examples and tips on the use the each type of graphs
• Practise and Review your understanding with the worksheets

2. Pie Charts and Frequency Diagrams (Revise, Activity, Review)

3. Try this Game! Bugs in the System

E-Learning Lesson 1 Task 1: Choice of graphs

I think that the line graph is not suitable as there is no need to link all the dots together, and as it is linked, it is more confusing for the reader. I think the other three is suitable because, a bar graph, pie chart and a pictogram, shows the individual amount of weathers in an easy to understand manner

Performance Task (eLearning Lesson 2) Group no.2 (Tiong Bahru Plaza)

The situation at the taxi stand is quite crowded. There are many commuters and taxis so we were busy noting down the information.

Instruction of Sec 1 E-Learning Day 2

Please input your location using this Google Map


View S105 - E Learning Data Collection Task in a larger map

I don't think a pie chart will be appropriate as we have to as it will not be able to show the values properly only the angles and its representation in 360 degrees.

eLearning Lesson 1 Task 1: Choice of Graphs

 I think Pie Charts is not appropriate as we first have to calculate the values. If the choices increase, the chart will not be able to show the choices accurately. The values might have decimal points and fractions which makes it more difficult to evaluate.

eLearning Lesson 1 Task 1: Choice of Graphs

I think it is line graph because a line graph is best use when needed to depict or show the variables decreasing or increasing.

eLearning Lesson 1 Task 1: Choice of Graphs

The pie chart shows the angle but it does not show the exact number so it is inappropiate.

E-learning Activity Task 1, Choice of Graphs

The line graph has the inability to represent the countries in the Y axis . Line graphs are used to represent how variables increase and decrease , according to the data given .

e-learning activity 1 task 1

i think that it is inappropriate for the whether forecast to be presented in the form of a line graph as a line graph is used for comparison.

eLearning Lesson 1 Task 1: Choice of Graphs

I think the line graph is an inappropriate choice to represent the information as line graphs are used to show variables increase and decrease.

E-Learning Lesson 1 Task 1

To me, it would be inappropriate  to represent the information in line graph as the line graphs are mainly used to calculate the time and distance or speed of something but as the information given is mattered to weather, it does not really fit much.

eLearning Lesson 1 Task 1: Choice of Graphs

I think that Pie charts are not appropriate because when the choices starts to increase, the results will not be accurate anymore as the pie chart will not be able to show the choices accurately.

Lim Jia Yi( 03)

eLearning Lesson 1 Task 1: Choice of Graphs

eLearning, L1Task1

i think that pie chart is not the appropriate choice as if the choices increase, the chart will not be able to show the choices properly. it may have decimal points and fractions as the choices become too numerous and cannot be shown in a 360 degree pie chart

eLearning Lesson 1 Task 1: Choice of Graphs:(Ethan Ng (13))

The line graph is wrong as line graphs cant be used to express such things as it should be over time and it can only be used if it is a single subject.

eLearning Lesson 1 Task 1: Choice of Graphs

I think the inappropriate choice of graph to represent the information is the line graph as the line graph is mainly used to calculate the time and distance or speed of something but as the information given is about the weather, it does not really fit.

eLearning Lesson 1 Task 1: Choice of Graphs

I think this graph is inappropriate as line graphs are often used to visualize a trend in data over intervals of time. However, there is no time intervals in the graph above.

Thurga (7)

eLearning Lesson 1 Task 1: Choice of Graphs

The graph that is not appropriate to represent the information (weather of various country) is the line graph because it is used to represent information over some time intervals, but there is no time intervals in the graph. Therefore, using the line graph is not appropriate to represent the information.

Gavin (22)

exact figures and approximate figures:
URL: www.todayonline.com
estimation: The Home Team is looking to recruit over 2,100 officers to fulfill its manpower needs for the new capabilities and expanding functions.
exact figure: A total of 37 polytechnic students and 101 Home Team officers received the award.
- Priyadarshika

Chap 3: Introduction to Significant Figures

Refer to Worksheet 2 for the Exploratory Activity in ACE-learning.
The “Interactive Lab” at the Ace-Learning Portal to help us round off numbers to significant figures, and examine the patterns of the ‘answers’ to derive the rules to round off numbers to a required number of significant figures.

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Watch the following clip to learn how to round off numbers to significant figures

Chapter 3: Difference between Approximation & Estimation - An Introduction (Preparation)

What's the difference between these 2 words - Approximation & Estimation?

On your own, go through the learning activity in the following website
http://www.s-cool.co.uk/gcse/maths/approximations

At the end of the 'visit', you should be able to tell the difference between approximation and estimation, and when each is used in real world...

Chapter 3 Activity 3: Getting to Know Singapore

In this activity, you are going to assume the role of a Singapore Ambassador, to make recommendations of interests to tourists visiting Singapore. You will introduce a significant landmark by highlighting the features of the landmark using some ‘vital statistics’ in a digital poster.

The digital poster

1. should have the title that tells the reader brief info about the place
   
2. should have at least 3 exact figures and 3 approximated figures to provide useful information about the landmark to the tourists; remember to provide context to the figures
   
3. should have relevant images of the landmark
4. can be created using KeyNote, Glogster or any digital medium that enables you to create a digital poster to be embedded in the blog post

You will embed the digital poster in the Maths blog. In the same blog post,

• indicate which figures are exact and which are approximated that are found in the poster
  
• cite the sources where the information and images that you use in the poster

Submission:

• Subject Title: Getting to know "location", presented by "your full name". e.g. "Getting to know the Singapore Civilisation Museum, presented by Paula Phua"
• Deadline: 8 March 2012, 2359h
  

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Here is the list

1. Attraction: Singapore Changi Airport
2. Attraction: The Singapore Flyer
3. Attraction: Singapore EXPO
4. Attraction: Singapore Suntec City
   
5. Attraction: Istana Kampong Glam
   
6. Attraction: Chinatown
   
7. Attraction: The Singapore Zoo
8. Attraction: Night Safari Singapore
   
9. Attraction: Jurong Bird Park
10. Attraction: The Esplanade
11. Attraction: NEWater Visitor Centre
    
12. Attraction: National Museum of Singapore
13. Attraction: Asian Civilisations Museum
    
14. Attraction: The ArtScience Museum
15. Attraction: Singapore Philatelic Museum
16. Attraction: Singapore Discovery Centre
    
17. Attraction: Marina Barrage
18. Attraction: Singapore Botanic Gardens
    
19. Attraction: Bukit Timah Nature Reserve
20. Attraction: Sungei Buloh Wetland Reserve
21. Attraction: The Labrador Park
22. Attraction: MacRitchie Reservoir Park: Tree Top Walk
    
23. Attraction: Pulau Ubin: Chek Jawa
    
24. Attraction: Sentosa: Underwater World Singapore
25. Attraction: Sentosa: Butterfly Park and Insect Kingdom
    
26. Attraction: Sentosa: Fort Siloso
27. Attraction: Universal Studio, Singapore
28. Attraction: The Singapore Science Centre
29. Attraction: Vegetable Farm - AeroGreen Technology
30. Attraction: Goat Farm - Hay Dairies

---

This is an example of a Digital Poster in the blog post:

Key information in the FACT SHEET

• 42% of women and 55% of men are approximated figures
• 11 million is an approximated figure
• 20 sports & recreation centres is an exact figure
• 24 swimming complexes is an exact figure

Source:

• http://www.ssc.gov.sg/publish/Corporate/en.html

Chapter 3 Activity 2: What the news article reports...

http://www.channelnewsasia.com/stories/singaporelocalnews/view/1187751/1/.html
Exact figure: SMRT said the first delay happened at 7.06am…

Approximated figure: …lasted for about 15 minutes.

We can be sure about the time the thing happened but how long the thing happened is an exception as the time measured is not accurate enough , for the seconds might vary in time due to human errors. 

Perhaps the thing lasted just a little more than 14 minutes, so they rounded off to 15 minutes as 15 is a number that can be measured easily and we are able to estimate how long / short it is.

Sorry for the late post..><

Approximation and Estimation

URL : http://www.channelnewsasia.com/stories/afp_world/view/1187231/1/.html

Approximation : They mentioned that the worst storm in recent decades hit southern Africa in January 1984,which killed 214 people.This number is an approximation.

Estimation : It is stated that Storm Irina killed at least 65 people,that means there could be more than 65 people that were killed,so it is an estimation.

Approximation And Estimation

http://www.channelnewsasia.com/stories/afp_asiapacific/view/1187118/1/.html
Estimation: Around 96 million tonnes of waste would be instantly generated,they


 used the word

around hence suggesting that it was estimated.


Approximately:471,000 homes and buildings would be destroyed, most of them


 by fires, or 


because of liquefaction, a process where reclaimed land turns to mush.


Explaination: As the result of the no. of homes destroyed is still unknown, it 

shows that it is approximated.

Approximation and Estimation by Htet Wai Yan Linn (Reg. 14)

http://www.channelnewsasia.com/stories/afp_asiapacific/view/1187316/1/.html

Approximation:
On the second paragraph, the news article stated that several thousand turned out each time Lady Suu Kyi delivered a speech. This proves that they do not know the exact number of people who came but they do know the number of people is in the thousands.

Exact:
On the sixth paragraph, the news article stated that there are only 48 seats available for Lady Suu Kyi's party to contest in so the number of seats in the parliament is exactly 48 seats.

Approximation and Estimation

http://www.channelnewsasia.com/stories/singaporelocalnews/view/1187278/1/.html
Approximation: More than 67500 children
Estimation:498 companies
Thurga (7)

Exact and Approximated figures

http://www.todayonline.com/Singapore/EDC120306-0000193/MINDEF-manages-its-budget-prudently--Ng-Eng-Hen

Exact:
In paragraph 14, there is a part of a sentence saying "75 crew members", nothing before or after that phrase states that it is an estimated number, so it should be exact.

Approximated:
In paragraph 2, there is a part of a sentence saying "up to 6 per cent", the phrase 'up to' states that it might be any percentage lower than 6.

iv) I think that the figures above are rounded off to the nearest whole number.

Approximation and Estimation Luke #16

http://www.channelnewsasia.com/stories/afp_asiapacific/view/1187118/1/.html


Approximated Number : "Approximately 471,000 homes and buildings would be destroyed" 10th sentence.

Exact Number: "Expert Robert Geller said that in a country with 54 nuclear reactors..." 22nd sentence.

I think it was approximated because it would be quite unreal for the number of homes to be exactly 471,000 and they said it was approximated.

It was rounded up to the nearest thousand.

Estimation and Approximation by Reuben Ang 9

My Article

Exact Figure: Paragraph 3
Approximated Figure: Paragraph 7

I think these are so because they want to make things simpler.

They rounded them off to the nearest 100

Approximation and Estimation

http://www.todayonline.com/Singapore/EDC120306-0000137/MINDEF-invites-Sporeans-to-share-NS-stories
Approximation: In the 4th paragraph, they said that "some 3000 singaporean men will....".  The word some tells us that not exactly 3000 men will go but the exact number was rounded up to 3000.

Exact: In paragraph 1, they said that it is the 45th anniversary of the National Service.  There were no other words that stated it was estimated.

I think that they rounded the numbers up to the nearest whole number.

Netraa (02)

http://www.channelnewsasia.com/stories/afp_world/view/1181742/1/.html

Approximation: In the 1st paragraph they told at least 110 people.
Exact: In the 2nd paragraph they told that 110 adults have died.

Approximation and Estimation

http://www.todayonline.com/Singapore/EDC120306-0000137/MINDEF-invites-Sporeans-to-share-NS-stories

Approximation: In paragraph 4, it says " some 3,000 Singaporean men will begin their Basic Military Training" which means there could be more or less than 3000.

Exact: In paragraph 1, it says "National Service was established in Singapore 45 years ago" which means that it could not be any other year.

By: Gavin :) (22)

Ian (15

http://en.wikipedia.org/wiki/September_11_attacks

Approximation:

2nd paragraph. Nearly 3000 people died.

Estimation:

Estimated that about 17,400 civilians.

Approximation and Estimation

http://www.channelnewsasia.com/stories/singaporelocalnews/view/1187247/1/.html


Approximation: In paragraph 6, it says "Nearly half, or 45 per cent" which means it is from about 50% to around maybe 45% or so.

Exact: In paragraph 3, it says "405 employees" which is the exact number as nothing was said after this phrase about being estimate or whatsoever.

(iv) I think they round it up to the nearest whole number.

approximation and estimation article

http://www.bbc.co.uk/news/world-asia-17192215

Approximation
in the 12th paragraph, it says that there were 100 or so men. there could be more or less people there.

Estimation
 in paragraph 24, they say that they estimated that they alighted at about 100 meters or so from the reactor. it could be more or less meters away from the reactors

(i) http://www.channelnewsasia.com/stories/technologynews/view/1187140/1/.html

(ii) US$10,000 (63,000 yuan) iTunes gift card (exact figure)

25 billion apps downloaded (approximated figure)

(iii) the amount of money must be given as an exact number if not the person reciving it will be surprised when he/her gets the gift card and finds out that it is not the amount of money that he had expected

the amount of apps downloaded are too many as it is almost a billion apps so it has to be rounde of if not the munber will be very long.

(iv) i think that the numbers have been rounded of to 10 million,

Clemens Chua,11

Chapter 3: Introduction to Approximation

Read the article, "Nepal in new bid to finally settle Mount Everest height"
http://www.bbc.co.uk/news/science-environment-17191400

Which numbers mentioned in this article are exact figures, which are approximated figures?

Chapter 3 Activity 1: What do we have in SST?

Visit the Facilities page at the school website (http://www.sst.edu.sg/about-sst/our-facilities). It highlights some facilities we have in SST’s campus.

Are you able to tell, which figure is probably an exact figure? Which is probably approximated?

Chapter 3 Activity 2: What the news article reports...

On your own, identify a piece of Singapore news from a local online news portal that features both exact and approximated figures.

Suggested portals:

• Channel NewsAsia: http://www.channelnewsasia.com/
• Today Online: http://www.todayonline.com/index

You will

(i) share the article by posting it at Facebook Page
(ii) identify one exact figure and one approximated figure
(iii) explain why you think these figures are exact and approximated
(iv) make a 'guess' how were these figures rounded off (e.g. to the nearest places/ decimals)

Chapter 3 Activity 2 (extension): Interesting Figures about the Beijing Olympics

Source: My Paper Friday August 8, 2008

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

• http://en.wikipedia.org/wiki/2008_Summer_Olympics
• Period: 6 to 24 August 2008

2. Cost of Opening Ceremony Ticket = 5000 yuan [exact]

• Source: http://news.xinhuanet.com/english/2007-04/16/content_5981951.htm
• There was a range of tickets: Opening Ceremony $200 yuan - $5000 yuan

3. Tickets sold for the game = 7,000,000 [approximated]

• Source: http://en.beijing2008.cn/tickets/news/n214482741.shtml
• In all, 6.8 million Olympic tickets were available for domestic and foreign sales.

4. Number of athletes competing = 10, 500 [approximated]

• Source: http://en.wikipedia.org/wiki/2008_Summer_Olympics
• Note: 11,028 athletes competed

5. Number of sports = 28 [exact]

• Source: http://en.beijing2008.cn/sports/

6. Number of nations competing = 205 [exact]

• http://en.wikipedia.org/wiki/2008_Summer_Olympics
• Note: 204 competed [Brunei did not participate]

7. Number of permanent residents in Beijing (2007) = 16,330,000 [approximated]

• http://en.beijing2008.cn/tickets/news/n214482741.shtml
• "Beijing had 15.6 million permanent residents at the end of last year" (i.e. 2007)

8. Number of bicycles in Beijing = 10,000,000 [approximated]

• Source: http://www.china.org.cn/english/Life/49302.htm.htm
• "The number of bicycles in Beijing has continued to increase over the past few years, reaching 10 million by the end of last year." (article reported in 2002)

9. Number of accredited journalists = 21,600 [approximated]
10. Cost of ticket for general admission for softball preliminaries = 50 yuan [exact]
11. Number of official Olympic and paralympic volunteers = 100,000 [approximated]
12. Number of city volunteers to provide tourist services and bolster security = 400,000 [approximated]
13. Number of social volunteers at community level = 1,000,000 [approximated]
14. Weight of rubbished produced in the city (in 2006) = 5,850,000 tonnes [approximated]
15. Forecast number of cars in Beijing by the time of games = 3,300,000 [approximated]
16. Expected number of visitors to Beijing during the games = 2, 500,000 [approximated]
17. Investment in environmental improvement from 1998 to 2006 = 120 billion yuan [approximated]
18. Number of old buses and taxis to be taken off the road before the games = 65,000 [approximated]
19. Length of train track in Beijing by 2008 = 198 km [approximated]

Chap 3 Approximation & Estimation - Diagnostic Test

The Diagnostic Test for Chapter 3: Approximation and Estimation has been administered through the AceLearning Portal.

The objective of this Diagnostic Test is for you to find out, to what extent you know in this topic, hence able to set your learning goals for the topic. You should therefore try your best when responding to the questions. This would also inform the teachers have a better understanding of your pre-requisite knowledge.

Deadline: 6 March 2012 (Tuesday), 2355h.
The answers to the questions will be available in the portal after the deadline.

Please login to your Ace Learning Portal to attempt the Diagnostic Test.

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If you have difficulty accessing the portal (e.g. password), please email to your respective teacher for assistance.
S1-01, S1-02, S1-04, S1-09: Ms Loh Kwai Yin
S1-03, S1-06, S1-07, S1-08: Ms Gwen Lim
S1-05: Mr Edmund Ng

6 AM Quiz: Factors and Multiples

eTextbook: Activation Code

Dear Students

A digital copy of the Maths textbook is available.

For those of you who bought the learning device through NCS, it has been already been installed in your device, except those who bought Macbook Air*.

You should be able to find the copy under "Applications".
You will be prompted to enter the serial number. Try entering 22086 followed by 44714.

• For those who bought the Macbook Air and did not buy the learning device through NCS, please see Mr Lim at the HelpDesk to help install the softcopy of the textbook.
  
• Suggestion: Make an appointment in the mornng with Mr Lim before morning assembly or during recess.