Math Olympiad Training (Update)


For students who have signed up for Mathematics Olympiad Training, please note that the first day of training is 2 February.

Schedule

1.     2 February                       0930 – 1130
2.     16 February                    0930 – 1230
3.     2 March                            0930 – 1230
4.     9 March                            0930 – 1130
5.     16 March                         0930 – 1130
6.     21 March                         0930 – 1330 (this is a Thursday session during Term 1 break)
7.     23 March                         0930 – 1230
8.     30 March                         0930 – 1230
9.     20 April                            0930 – 1130
10. 27 April                            0930 – 1130
11. 11 May                             0930 – 1130
12. 18 May                             0930 – 1130

Venue
There are two venues: S308 and S309. Please check which classroom you are allocated in the list below.

VENUE: CLASSROOM 309
ClassRNName
S1-012SAKSHI GARG
S1-018ADRIAN CHAN CHUNG YEN
S1-0112DIXIT YASH ASHOK
S1-0123YOU GEO LOONG GERALD
S1-048TAN SU WEN, KIMBERLY
S1-0411BRYAN GOH HONG WEI
S1-0412CHOW YU HIN
S1-0415LEE XU ZHOU BRYAN
S1-0416LUKE ALEXANDER NAIR
S1-0421TAN HONG YI
S1-067BRIAN CHENG HSIEN YONG
S1-0612IAN LEE ZI XU
S1-0615RAMANATHAN KUMARAPPAN
S1-072CLAIRE THAM
S1-073LOW HUIXIN VICTORIA
S1-076YAN PEI LING
S1-078ZHAO SITING
S1-0711KOH CHAN HONG
S1-0715NIMALAN S/O ANBHUARASAN
S1-0717SIM HNG ANH
S1-0718TAN JIAN QING
S1-0719TAN NIAN GUAN, COLIN
S1-0720TAUFIQ MOHAMMED
S1-0721YADUNAND PREM

VENUE: CLASSROOM 308
ClassRNName
S1-031ANIKSHA MALIK
S1-0314KWA JUN LIANG, DESMOND
S1-0322THOMAS JOSEPH LEE ALBA
S1-056ANAPANA DINESH KUMAR
S1-059CHOY ZHEN WEN MARCUS
S1-0512JONATHAN LIEW CHONG KAI
S1-0517PANG ZHI KAI
S1-0524WONG ZHEN YANG
S1-085LING SI HUI, SHIHO
S1-088SNEHA SIVAKUMAR
S1-0811CHANDRASEKARAN VIJAY
S1-0812ELANGOVAN KARTHIKEYAN
S1-0817MUNIYANDI VIGNESH
S1-0819RAVEEN MOHANVEL
S1-091DARIS KER ANN LEE
S1-095LIM YU XUAN
S1-0913DONOVAN NEO JIA JIE
S1-0916KANG SHIQIANG
S1-0917KIANG JIA MING KENNETH
S1-0918KOR KIN PENG JERON
S1-0921MAH TENG CHONG, KENNETH
S1-0923SHAUN TAN ZHENGXUN




























































































In Summary: Number Families

Reference: Notes Booklet (p17)

The "Terminology"














Point to Ponder: Do you agree with Juliet's conclusion?

Juliet attempts to explain that square root and cube root of numbers can be rational numbers. She gave several examples to illustrate her points. Do you fully agree with her?
  • If you do, support your response with more illustrations to show that it is always true.
  • If you do not, give examples to illustrate why you do not agree.
Enter your response to the following in "Comments". 



Number Lines (1) Integers & Real Numbers

This was what we did in class on Monday (29 Jan 2013):

(1) Representing Integers on a number line



(2) Representing Real Numbers on a number line



Number Lines (2) With Inequalities

You may refer to the following video clip to recall how to draw number lines representing inequalities like:


Inequalities on a number line: Inequalities on a number line




Click HERE to see how draw the number lines representing the 4 given inequalities.


For Practice:
Click HERE to attempt the activity in the KhanAcademy

In Summary: Number Lines

Read the following examples carefully.

Take note how the number lines are drawn and how are the numbers, in each case are represented on the number line.







For your own practice...



Point to Ponder... Rational Numbers on a Number Line?



Enter your response to the following in "Comments". 


Group Activity: Which Tribe do I belong to?

Here's the complete solution:


T1W4 (30 Jan 2013) Maths Lessons

Dear S1-02

Please note that there will be slight changes to your timetable for your Maths lessons on 30 January (Wednesday).

I am unable to turn up for the lesson, and therefore have swapped the lessons with your teachers.

Please remember to bring you learning material with you on 30 January 2013

  • 1015 to 1105: It will be Chinese Language instead of Maths - Please bring along your Chinese textbook and relevant materials for lesson tomorrow.
  • 1105 to 1155: It will be ADMT instead of Maths - In other words, you will have 3 periods of ADMT lessons, starting from 1105h till 1335h

The following will be Maths lesson instead:
  • 30 January Thursday (0855 - 0945): Maths instead of ADMT
  • 5 February Tuesday (1105 - 1155): Maths instead of Chinese Language



Numbers: "Arrange Me" Activity







In class, we had discussed the strategy to be used go get the answers. 
The LAST image (submitted by Group 4) is correct, with all the numbers arranged in ASCENDING order.

How to do it:

Key words: ascending order
Strategy: 
Convert all numbers to the "same format" for comparison; make reference to a number line.


Negative Numbers around us

In 10 minutes, list down as many examples as possible in your group wall. Remember to organise the stickies neatly.

Math reason


Math reason

   n^x
   --- = n^(x-y)
   n^y   
   3^4
   --- = 3^(4-2) = 3^2
   3^2


   3^4 
   --- = 3^(4-3) = 3^1
   3^3
  
    3^4
    ---
    3^4
       3^4
   1 = --- = 3^(4-4) = 3^0 
       3^4
So 3^0 = 1.

Consolidation Homework 1(a): Generalisation



TimeTable for Maths in T1W3 (21-25 January)

Dear S1-02

Please note that there will be changes to your Maths Timetable in the week 21-25 January.
As I will be away on 23-25 January, to minimise disruption to your learning, I've swapped lessons with some of your teachers:
  • 22 Jan Tuesday 0805-0855h Maths (instead of Sports & Wellness)
  • 22 Jan Tuesday 1155-1245h Maths (instead of ADMT)
In other words, on Tuesday, including the originally scheduled lesson, we will have 3 periods of Maths lessons.
  • 23 Jan Wednesday 1015-1105 Sports & Wellness (instead of Maths)
  • 25 Jan Friday 1105-1155h ADMT (instead of Maths)
Please bring the necessary learning materials for the respective subjects according to the updated timetable.

6 AM Quiz: Bridge Crossing


The 6 AM Quiz is a platform to engage those who would like to seek deeper exploration and understanding of selected topics. It is therefore not compulsory.




Solve your puzzle and present the possible solution in the Comments
While you tried to solve the puzzle, what mathematical knowledge and skills did you apply to solve the problem?

Pondering over Primes (1)

Write down all possible pairs of primes whose sum is 30.

Updated on 16 Jan 2013
Afternote: Click HERE to view working (strategy to solve the problem)

Key in your thoughts under Comments

Pondering over Primes (2)

Given that 74 088 000 = 2^m X 3^3 X 7^3 X 5^n, find the values of m and n.

Afternote (posted on 16 January 2013)
Click HERE to view worked solution

Key in the values of m and n under Comments

Pondering over Primes (3)

A number's prime factorisation is
23 X 32 X 52
Is the number even or odd? Explain your reasoning.
Name four other factors of this number, other than 2, 3 and 5.

Pondering over LCM & HCF (4)

We have talked about Highest Common Factor (HCF) of two or more numbers and Lowest Common Multiple (LCM) of two or more numbers.

Why don't we talk about the Lowest Common Factor or the Highest Common Multiple of two or more numbers?


Key in your thoughts under Comments.

Homework 1(b)

Attempt

  • Q1(a): Do the HCF component only
  • Q1(b): Do the HCF component only
  • Q2(a): This part concerns HCF
Use both methods to find the HCF for each part.

Keep the LCM component for each question first because we will be discussing LCM in the next lesson. 

On the other hand, you may try reading up/ attempt the questions in the Notes Booklet (green)


Discussion on HCF

We discussed this during lesson...

  • 2 methods to find HCF:
    • Ladder Method
    • Indices Method







Venus Transit - what has it got to do with Maths?

How do astronomers & scientists predict when Venus Transit takes place?

Let's read what NASA says :)

 

Gentle Reminder of Homework

Dear S1-02

On Friday, you were given "Homework 1a", to be submitted on 14 Jan (Monday).
Please remember to bring it to school on Monday.


Prime Factorisation

Notes (p4)
Prime factorisation is the process of expressing a composite number as the product of prime factors.

There are 2 methods to do this:

(a) Repeated Division






(b) Factor Tree

Click HERE to view the illustrations


(


(Bonus Question) Primes... Why? Why? Why?

Follow-up from the discussion on 9 January 2013 (Wednesday), Notes p2 Q5


Add any two primes greater than 2, we will get an even number.
Explain clearly, using algebra on why the result is always an even number.

Enter your response in "Comments"
Remember to sign off your answer with your group number

Primes (Notes, p2) Q1, Q2, Q3, Q7

The following statements are false.
Explain or illustrate with examples (if applicable) to show why they are false

Q1 All odd numbers are prime.

Q2 All prime numbers are odd.

Q3. All even numbers are composite.

Q7. A prime number is always smaller than a composite number.

This was discussed in class.

Our "justifications"/ "illustrations" are:

Q1: "1" is an odd number but it is not a prime number

Q2: "2" is a prime number that is even

Q3: "2", an even number, is a prime number

Q7: "5" is a prime number, but it is larger than "4", a composite number

(20130109) Maths Olympiad Registration

Group#2 Which family do i belong to?

Done by Joel, Cornelius,Xavier,Ryan Yuan,Jarrel

Group#2:Which family do I belong to


Done by:Joshua Ong Peng Yeow,Ng Wei Chong Javier,Russell Koh Yi,Wong Kar Long Keagan,Yang Zong En Wynn

Group#4:Which family do I belong to?

Done by:Aung Phone Naing,Darryl,Max,Yue Sheng,Cristian.

Group #:1 which family do I belong to

Done by: Shu xian
           Ryan
            Bryan
           Pasan
                  Mahidhal

Class activity: Which family do "I" belong to?







Instructions:
1. Group leader to take a picture of the answers (all in 1 page) and post it in this Maths blog
2. Name the subject title: Group #__: Which family do I belong to?
3. Include the full name of leader & members in the blog post.
4. Insert a Label: Primes

Deadline: To be submitted by 8 January 2013, 2359h


Contact of Information - Who have posted the Info?

Up to 20130108, 0300h, the following have posted the Contact Information



Introduction (1) Mathematics & Me...

Discuss

(a) the success and joys that you have experienced in learning Mathematics;

(b) the challenges you have experienced with the subject; and how you think you could overcome these challenges this year?

Post your response under "Comments"



Introduction (2) My Mathematics Classroom

How would you envisage the Maths experience in SST is going to be like... 

(a) In what way do you think learning would look like in our Maths classroom?

(b) How do we contribute to a conducive and encouraging learning environment?


Post your response under "Comments"



Introduction (3) What would help US learn better?

What are some strategies that you find helpful to learn well?
e.g. strategies you used to learn in class, understand the subject well, prepare for assessments.

Post your response under "Comments"



New Day. New Year - Begin with an end in mind

Welcome to an exciting year 2013
Success comes with adequate preparation and as a start do take note of the following.

1. Know the Mathematics Syllabus

  • This is the 4-year syllabus leading the "O" level exam: Elementary Mathematics 4016 (SEAB site)
  • We will not be covering all the topics listed in the syllabus in Sec 1. 
  • The curriculum adopts a spiral approach where selected topics will be revisited and going into depths as we move from year to year.
  • The abridged-scheme of work will be made available by end-January.

2. Right Resources

  • SST Maths Notes - You will be receiving the set of materials for Term 1 on 7 Jan (Mon)
  • Calculator - It will be verified before the first level test and an "approved SST" sticker will be issued
  • SST Foolscap paper and graph papers (for assignments)
  • ICT Resources
    • Class Maths Blog: Most of the online learning activities will be carried out here
    • ACE Learning: Online platform where the account will be issued to you by end of January
    • Software: Grapher, Geogebra, Numbers, PhotoBooth, QuickTime Player

3. Assessment for 2013

  • Term 1   Level Test 1 + Authentic Assessment (10% + 10%)
  • Term 2   Common Test 1 (20%)
  • Term 3   Level Test 2 + Authentic Assessment (10% + 10%)
  • Term 4   End of Year Summative Assessment (40%)

4. Diagnostic Test will be conducted as Follows:

  • Beginning of new topic - to assess prerequisite knowledge and linkages to new knowledge
  • End of topic - to assess level of understanding and competency

5. Daily learning and monitoring platforms

  • Class work -  in the form of activities and practice questions
  • Assignment - to be done on printed handouts or SST foolscap papers
  • All classwork to be completed within designated time

6. Character is Destiny
    Your destiny should begin with your daily routines
    A.   Be Present
    B.   Listen without Prejudice and One conversation at a time
    C.   Be Socially Aware (we are after all living in a gregarious community)
    D.   Manage your impulses
    E.   Know that the choice that you have chosen has its own consequences