### Maths Department Newsletter

Dear S1-02

You might have noticed that there's a section of "Maths Newsletters" at the right panel of the blog - this is for your reading leisure, as well as some interesting stuff to get your creative brain juices flowing :)

You might have noticed that there's a section of "Maths Newsletters" at the right panel of the blog - this is for your reading leisure, as well as some interesting stuff to get your creative brain juices flowing :)

There is a difference in this month's edition,

WE'RE ROLLING OUT THE CLASS MATHEMATICAL PROBLEM SOLVING COMPETITION THIS MONTH.

The questions for this month are given on the LAST page of the newsletter. Work on the problem(s) as an individual, small team or as a class and submit the entries to this email address. We'll recognize the BEST MONTHLY solution in early April, so start thinking and working on the problems.

RULE -

- you may choose to do either ONE or BOTH of the questions and each part will be considered independently
- each student can submit one entry per question - either as an individual, team or class
- there may be as different entries for each class
- your work must be original or at least appropriately referenced
- you may seek your Math teacher for help
- your solution MUST be type written and your name(s) and class(es) clearly labelled
- Judges' decision on the winning entry is final and no communication will be entertained
- the prize(s) is NOT exchangeable for cash.

Have fun reading on working on the problem(s).

Submit your entry to Mr Jason Ingham at

**jason_ingham@sst.edu.sg**### Remedial Session

Dear S1-02

As spoken in class on Friday, we'll be having our Remedial Session on

The following are required to attend the Remedial session:

Please bring along your Maths Workbook for the session; as well as the questions that you were to attempt at home (Topic 2).

You may turn up for the session if you are not in the above list.

As spoken in class on Friday, we'll be having our Remedial Session on

**Monday (25 Feb).**The following are required to attend the Remedial session:

- CHRISTIAN BRETT ZHENG HAO K
- DON PASAN SANJULA HETTIGE
- GUNDU MAHIDHAR REDDY
- HOH SHU XIAN
- JOEL TAN XIN WEI
- LEE JUN JIE, CORNELIUS
- RYAN YUEN
- WONG KAR LONG, KEAGAN
- XAVIER TOH IK HANN
- YANG ZONG EN, WYNN

**Time: 2.30 pm to 3.30 pm**Please bring along your Maths Workbook for the session; as well as the questions that you were to attempt at home (Topic 2).

You may turn up for the session if you are not in the above list.

### Worked Solutions for Topic 2 Revision & Summative Assessment

Dear S1-02

The Worked Solutions for the following are now available in the GoogleSite (Maths > Class Page)

1. Revision Topic 2- Real Numbers

2. Summative Assessment 2

Note:

There are some errors to the answers given in the "Revision Topic 2 - Real Numbers" question paper.

Please see uploaded copy for amendments.

### Changi Airport ( 1 )

330 is an approximated amount

3 is an exact amount

120 is an approximated amount

120 is an approximated amount

70,000 is an approximated amount

10,000 is an approximated amount

S$121 million is an approximated amount

Source : http://www.changiairport.com/the-feeling-is-first-class

### Christian Glogster Pulau Ubin Chek Jawa

10.19 km² & 250,000 visitors are approximated figures.
6.30-8, $60, 15 are exact figures.

### Suntec City Mall

Approximated Figure: 360 stores, 888000 square meters

Exact Figure: 5 towers, 2006

http://www.cimmaroninternational.com/images/suntec.jpg

http://www.property-report.com/wp-content/uploads/2011/11/suntec_lead-big1.jpg

http://www.artline.com.sg/GIFS/Suntec.gif

http://farm3.staticflickr.com/2065/2151270109_8f0a89505c_z.jpg

### Singapore Flyer Poster

Exact Figure:
$49.90
$39.90
165m
28 Air-conditioned
Approximated Figure:
Capable of holding 28 passengers
A complete rotation of wheel takes about 30 minute
An open bus park for 40 buses
Multi-storey carpark for 300 vehicles

### Getting to know Sungei Buloh Wetland Reserve, presented by Lee Jun Jie Cornelius

70 Million years ago is an approximated figure.

13 Metres and 15 Metres are approximated figures.

500m,3km,5km7km are approximated figures.

48 seats is an exact figure.

### About Approximation: 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

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

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

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

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

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

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

- 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)

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]

### (Assignment) 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

Here is the list

The digital poster

- should have the title that tells the reader brief info about the place
- 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
- should have relevant images of the landmark
- can be created using
**Glogster**or any digital medium that enables you to create a digital poster to be embedded in the 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

- Subject Title: Getting to know "location", presented by "your full name". e.g. "Getting to know the Singapore Civilisation Museum, presented by Paula Phua"
- Add label: Approximation, Poster
- Deadline: 26 February 2013, 2359h

Here is the list

- Attraction: Singapore Changi Airport
- Attraction: The Singapore Flyer
- Attraction: Singapore EXPO
- Attraction: Singapore Suntec City
- Attraction: Istana Kampong Glam
- Attraction: Chinatown
- Attraction: The Singapore Zoo
- Attraction: Night Safari Singapore
- Attraction: Jurong Bird Park
- Attraction: The Esplanade
- Attraction: NEWater Visitor Centre
- Attraction: National Museum of Singapore
- Attraction: Asian Civilisations Museum
- Attraction: The ArtScience Museum
- Attraction: Singapore Philatelic Museum
- Attraction: Singapore Discovery Centre
- Attraction: Marina Barrage
- Attraction: Singapore Botanic Gardens
- Attraction: Bukit Timah Nature Reserve
- Attraction: Sungei Buloh Wetland Reserve
- Attraction: The Labrador Park
- Attraction: MacRitchie Reservoir Park: Tree Top Walk
- Attraction: Pulau Ubin: Chek Jawa
- Attraction: Sentosa: Underwater World Singapore
- Attraction: Sentosa: Butterfly Park and Insect Kingdom
- Attraction: Sentosa: Fort Siloso
- Attraction: Universal Studio, Singapore
- Attraction: The Singapore Science Centre
- Attraction: Vegetable Farm - AeroGreen Technology
- 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:*### Difference between Approximation & Estimation - Practice at S-cool

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...

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...

### Remedial Session

Dear S1-02

As spoken in class, we'll be having our Remedial Session tomorrow.

The following are required to attend the Remedial session:

Time: 2.00 pm to 3.00 pm (for those who are

Please bring along your Maths Workbook for the session.

You may turn up for the session if you are not in the above list.

As spoken in class, we'll be having our Remedial Session tomorrow.

The following are required to attend the Remedial session:

- CHRISTIAN BRETT ZHENG HAO K
- DON PASAN SANJULA HETTIGE
- GUNDU MAHIDHAR REDDY
- HOH SHU XIAN
- JOEL TAN XIN WEI
- LEE JUN JIE, CORNELIUS
- RYAN YUEN
- WONG KAR LONG, KEAGAN
- XAVIER TOH IK HANN
- YANG ZONG EN, WYNN

Time: 2.00 pm to 3.00 pm (for those who are

__not__attending the EL remedial session)__or__3.00 pm to 4.00 pm (for those who__are__attending the EL remedial session)Please bring along your Maths Workbook for the session.

You may turn up for the session if you are not in the above list.

### "Estimation" & "Approximation" - What are they?

Construct a sentence to illustrate how the two words "approximation" and "estimation" are used in real life.

You may use the different forms of

You may use the different forms of

- approximation: e.g. approximate, approximately, approximated...
- estimation: e.g. estimate, estimated...

### Introduction to Approximation (I)

**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 that we have in SST's campus.

Are you able to tell...

- Which figure is probably an exact figure?
- Which is probably approximated?

Pen these information in your Notes Booklet (p33):

Left for those with exact figure; Right for those with approximated figure.

### Introduction to Approximation (II)

Read the article, "Nepal in new bid to finally settle Mount Everest height"

http://www.bbc.co.uk/news/science-environment-17191400

http://www.bbc.co.uk/news/science-environment-17191400

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

### 20130213 Homework

**Things to do:**

**(1) Homework 2d**

Based on the discussion of Homework 2d Q1(a) to Q1(d),

please re-look at what you have done for Homework 2d Q1(e) and Q1(f).

You are expected to hand in Homework 2d on Friday (15 Feb 2013).

**(2) Notes Booklet**

Attempt the questions on

**Four Operations of Rational Numbers**at p28 to p29.

We shall discuss these questions on Friday (15 Feb 2013).

**(3) Mathematics Workbook**

The workbook is now available at the school bookshop.

Buy a copy if you have not done so.

Unit price: $10.15

Do not bring it to school until you are told to do so.

**(4) Maths File**

You should have updated the Content Page for the two topics by now.

Ensure that you have all the handouts filed in order.

You may leave the file at home (for revision of the Level Test)

### What's Wrong: Homework 1c Q1a, Q1c, Q3a, Q3b

Here's the presentation of working amongst those who submitted.

**Can you identify the error(s) in each of the following?**

- Are they purely careless mistakes or conceptual errors?
- Do you know the correct way of working out the solution?
- Check the solution out in the GoogleSite > Mathematics > Class page.

### What's Wrong: Class Quiz 1 Q1

Here's the presentation of working amongst those who submitted.

**Can you identify the error(s) in each of the following?**

- Are they purely careless mistakes or conceptual errors?
- Do you know the correct way of working out the solution?
- Check the solution out in the GoogleSite > Mathematics > Class page.

### What's Wrong: Diagnostic Test 2 Q4c

Here's the presentation of working amongst those who submitted.

**Can you identify the error(s) in each of the following?**

- Are they purely careless mistakes or conceptual errors?
- Do you know the correct way of working out the solution?
- Check the solution out in the GoogleSite > Mathematics > Class page.

### What's Wrong: Diagnostic Test 2 Q4d

Here's the presentation of working amongst those who submitted.

**Can you identify the error(s) in each of the following?**

- Are they purely careless mistakes or conceptual errors?
- Do you know the correct way of working out the solution?
- Check the solution out in the GoogleSite > Mathematics > Class page.

### What's Wrong: Homework 2b Q1d, Q1e, Q1f

Here's the presentation of working amongst those who submitted.

**Can you identify the error(s) in each of the following?**

- Are they purely careless mistakes or conceptual errors?
- Do you know the correct way of working out the solution?
- Check the solution out in the GoogleSite > Mathematics > Class page.

### What's Wrong: Homework 2b Q2a, Q2f

Here's the presentation of working amongst those who submitted.

**Can you identify the error(s) in each of the following?**

- Are they purely careless mistakes or conceptual errors?
- Do you know the correct way of working out the solution?
- Check the solution out in the GoogleSite > Mathematics > Class page.

### What's Wrong: Homework 2c Q1d, Q1e, Q1f, Q1g

Here's the presentation of working amongst those who submitted.

**Can you identify the error(s) in each of the following?**

- Are they purely careless mistakes or conceptual errors?
- Do you know the correct way of working out the solution?
- Check the solution out in the GoogleSite > Mathematics > Class page.

### What's Wrong: Homework 2c Q2c

Here's the presentation of working amongst those who submitted.

**Can you identify the error(s) in each of the following?**

- Are they purely careless mistakes or conceptual errors?
- Do you know the correct way of working out the solution?
- Check the solution out in the GoogleSite > Mathematics > Class page.

### What's Wrong: Homework 2c Q2d

Here's the presentation of working amongst those who submitted.

**Can you identify the error(s) in each of the following?**

- Are they purely careless mistakes or conceptual errors?
- Do you know the correct way of working out the solution?
- Check the solution out in the GoogleSite > Mathematics > Class page.

### What's Wrong: Homework 2c Q2f

Here's the presentation of working amongst those who submitted.

**Can you identify the error(s) in each of the following?**

- Are they purely careless mistakes or conceptual errors?
- Do you know the correct way of working out the solution?
- Check the solution out in the GoogleSite > Mathematics > Class page.

### "What's Wrong?" with these Number Line

Topic: 2 Integers, Rational & Real Numbers

Source of question: Homework 2a

Below are 4 number lines that have "gone wrong".

Do you know what's wrong with these number lines?

Line (1)

Line (2)

Line (3)

Line (4)

Think through before clicking at "Comments" to find out "What's Wrong".

Source of question: Homework 2a

**Q2(a) Represent the following numbers on a number line: 5, -1/11, π, 0.9**Below are 4 number lines that have "gone wrong".

Do you know what's wrong with these number lines?

Line (1)

Line (2)

Line (3)

Line (4)

Think through before clicking at "Comments" to find out "What's Wrong".

### Summative Assessment 1 (Chap 1) - Who have not attempted

The following were unable to turn up for lesson on 8 February (Friday), and therefore have not attempted the assessment yet:

- (S1-02) Christian
- (S1-02) Darryl
- (S1-02) Russell

**Date: 13 February 2013****Time: 1.45 pm****Venue: S1-07 Classroom**

### Term 1 Level Test 1

Dear S1-02

As spoken last week (T1W5), information pertaining to the test is as follows:

Date: 27 February 2013 (Wednesday)

Duration of Paper: 45 minutes

Total marks: 30

As spoken last week (T1W5), information pertaining to the test is as follows:

Date: 27 February 2013 (Wednesday)

Duration of Paper: 45 minutes

Total marks: 30

**Topics:**- Primes, Highest Common Factor, Lowest Common Multiples (including Square, Square Root, Cube & Cube Root)
- Real Numbers Reference

**Instructions:**

- All questions must be answered in INK.
- Show all working as it will demonstrates your train of thoughts and understanding on how you arrive at the answers.
- Write neatly.

**What you need to bring:**

- Working Calculator with the approved sticker
- Ruler & Pencil

**Materials for Preparation:**- Notes Booklet (green)
- Questions (and answers) to the exercises were discussed in class.
- Worked solution to selected pages also available in the GoogleSite (under Mathematics > Class page)
- Homework, Diagnostic Assessments, Quizzes, Summative Assessments
- Worked solutions are available in the GoogleSite (under Mathematics > Class page)
- The marked handouts will be returned to you on 13 & 14 February. Please do corrections. You may refer to the worked solutions in the GoogleSite.
- Ace Learning Portal exercises & video lessons
- Reading assignments & practices have been scheduled. Refer to the "Calendar".
- You should not have problem logging in. Email me if you forget your password.
- Exam Preparation Booklet:
- (i) p1 to p8
- (ii) 2012 Level Test 1 (p67-73)
- (iii) Optional: 2012 Level Test 2
- Worked solutions are available in the GoogleSite (under Mathematics > Assessments

**The test results will constitute to your overall Maths results for the year.**### Diagnostic Test for Topic 3: Approximation & Estimation

Today, we attempted the Diagnostic Test in class.

The following have not attempted or submitted your responses:

- Christian - please send me an email if you are unable to attempt it today (6 Feb)
- Pasan - please complete it by end of day (as mentioned in the class)

### AceLearning: Login & Email Address

Dear Students

During the account dissemination last week, you have been briefed how to update your profile with the email address. By inserting your email address in the profile, you will be informed of any updates/ reading assignments and quizzes via email.

The following have not updated your profile in the AceLearning Portal:

During the account dissemination last week, you have been briefed how to update your profile with the email address. By inserting your email address in the profile, you will be informed of any updates/ reading assignments and quizzes via email.

The following have not updated your profile in the AceLearning Portal:

- CHRISTIAN BRETT ZHENG HAO K
- TAN XUE YUAN JARREL
- XAVIER TOH IK HANN
- YANG ZONG EN WYNN

### Integers for FUN!

You may want to login to the AceLearning portal, look under "Integers" to test your mastery of arithmetic operations through this game:

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