Tuesday, 9 October 2012

Answers for Mock Exam Paper

Here are the answers to the missing questions.

Qn 18: CD = 25.7cm
Qn 19: angle of elevation = 65.4 degrees
Qn 20: 5 more workers are needed

Mrs Sin

Monday, 1 October 2012

Consultation Days and Times

I am available for consultations on the following days and times.

Wednesday 3 Oct, 2.30, 2.50, 3.10pm
Thursday 4 Oct, 3, 3.20, 3.40pm
Friday 5 Oct, 1245, 1.05, 1.25, 1.45, 2.05, 2.25, 2.45

Each slot is 20 min and I can see 2 students maximum per slot. Please come with ready questions so that our session is short and sharp.

If there are no other students after you then I can continue to see you in the following slot.

I will update the schedule accordingly if I have other meetings to attend.

Kindly send me an email/ inform me in class AT LEAST ONE DAY IN ADVANCE if you wish to see me as I would like to keep the group small for each session.

Thank you.

Mrs Sin

Set Language and Notation Task

There are 45 band members and 205 club members in a school of 500 students.

Scenario A:
Given that every student in band is considered as a club member

Scenario B:
Given that every student can only have one CCA

Scenario C:
Given that a number of students are in both CCAs

(i) Represent the information using set language. (You should write a minimum of 3 statements)
(ii) Represent the information using a suitable diagram.

Wednesday, 19 September 2012

Groupings for Performance Task 3 (Probability)

Here is the question that each group will complete.

Deming, Julian, Joshua: Question 1
Fathiah, Dhruti: Question 2
Sharifa, Sarah, Jemaimah: Question 3
Yong Lin, Adam, Jee Hoon: Question 4
Zong Han, Allen, Kai Chek: Question 5
Danish, Dylan, Ethan: Question 6
Howe Wee, Marcus, Loynes: Question 7
Balram,  Terrence: Question 8

If there are any changes in the grouping, please let me know on Friday. There should be a minimum of 2 members in a group and maximum of 3.

Thank you.

UPDATE: The deadline and time is not negotiable. Please submit your PT via any of the following options (1) Submit folder (2) email (3) link on blog

If you email it to me, you should expect a reply from me. If there is no reply, it means that I have not received it.

Mrs Sin

Tuesday, 18 September 2012

Probability Performance Task 3

Deadline for the task is 2 weeks from today, 2 October 2012 1300 hours.
Every late submission will result in loss of marks.
You are to work in pairs or trios.


Sunday, 16 September 2012

Game 1: Experimental Probability

Please access the spreadsheet here to perform the following.

1. Play the game
2. Record the number of times Player 1 won
3. Calculate the probability that Player 1 will win

The spreadsheet will automatically calculate the experimental probability for the class.

Tuesday, 11 September 2012

No remedial today 11 Sept 2012

Dear S203

I am on MC today hence there will be no remedial today...

Sorry about it. See you.

Mrs Sin

Wednesday, 5 September 2012

Tuesday, 4 September 2012

Geometrical Constructions

Dear all Here are the videos we used in class today.

Perpendicular Bisectors
Video 1: http://www.youtube.com/watch?gl=SG&feature=related&hl=en-GB&v=RKk7EuLunQ8 Video 2: http://www.youtube.com/watch?v=YjOI1p2sZ9w&feature=relmfu

Angle Bisectors
Video 1: http://www.youtube.com/watch?v=ug3TasAxvOk&feature=related

Please read the following Examples from Ace-Learning
1. Construction of triangle given three sides
2. Construction of triangle given an angle and two sides
3. Construction of triangle given 1 side and two angles
4. Construction of quadrilateral

 Assignment to be completed:
Qn 1, 4, 6 Reg 1, 3, 5, 7
Qn 2, 5, 7 Reg 2, 4, 6, 8
Qn 3, 4, 6 Reg 9, 11
Qn 3, 8, 9 Reg 10, 12, 14
Qn 5, 9, 10 Reg 17, 19, 21, 23
Qn 1, 8, 10 Reg 18, 20, 22
Qn 2, 6, 7 Reg 13, 15, 16

DEADLINE: Term 4 Week 1 First Lesson
Click LINK to view

Monday, 3 September 2012

For Remedial tomorrow (4 Sept 2012)

Please remember to bring along the following.
1. Direct and Inverse Proportion notes and worksheets
2. Construction Set (Compasses, protractor, pencil, long ruler)
3. Any other outstanding work

See you at 8am.

Friday, 31 August 2012

Submission of Work (31 Aug 2012)

The students mentioned below, kindly submit your homework asap.

Fathiah: Matrices and Simultaneous Equations
Jee Hoon: Matrices and Simultaneous Equations
Joshua: Simultaneous Equations
Danish: Matrices and Simultaneous Equations
Kai Chek: Matrices and Simultaneous Equations
Terrence: Matrices and Simultaneous Equations

Tuesday, 28 August 2012

Submission of Homework Assignments

Please submit the following assignments tomorrow, Wednesday 29 August 2012.

1. Matrices Assignment 1
2. Matrices Assignment 2
3. Matrices Assignment 3
4. Simultaneous Equations Assignment (Tier A and B)

Thank you.

Monday, 27 August 2012

Viva Voce - Balram Sharma

Part I: My Viva Voce Video


Name: Balram Sharma
Class: S2-03
Scenario #2
Elapsed Time: 4:08 minutes

Part II: My Reflections

a) What are my key learning points?

My problem-solving skills have surely been built upon through this performance task. I have become more proficient in video editing and presentation skills, as well, and after having completed this performance task, I feel more comfortable using technology to present the solutions to mathematics questions, and even the answers to questions in other subjects. 

b) What have I understood about trigonometry and Pythagoras' theorem as an applied learner?

In my opinion, an applied learner is one who learns effectively from real-world experiences, and can successfully apply the concepts learned through these experiences to his or her academics, and vice-versa. From this performance task, I have learned more about trigonometry and Pythagoras' theorem, and I have also learned how to apply these concepts, as well as some of the other concepts I have learnt at SST (including many ICT, ADMT and Oral Communications skills), in the real world.

Part III: The Script

The question is, "A spider sits at the middle point, P, of my living room wall. It sees a fly at corner C. Find the shortest distance the spider must travel to reach point C". Okay, that sounds simple enough. Let's start by drawing a diagram. I've labelled the points A, E, D, H, C and G and I've also added P, as well as Y and X. Now, Y is in the middle of the line DH, and X is in the middle of the line AD. So, first of all, let me draw the most obvious route, which takes us through PY, YD and DC. That's PYDC. Next, we're going to try something a little shorter, PDC. That's PD, and DC, simple as that. Let's not forget point X. How about using that? So, we could go, PX, and XC? How about that? But then, there must be something shorter than that. So, let's create a point, and call it M. And let's put it smack in the middle of line DX. So we could go, PM, and MC. That seems quite a bit shorter. But all these routes mean nothing if we don't do the math. Let's start with PYDC. That's PY, which is one meter, and YD, which is two meters, and then DC, which is 5 meters. That means PYDC is an eight meter long route. Then, we'll start on PDC. That's PD, which is the square root of five meters, and DC, which is five meters, according to the diagram. So that leads us to PDC, which is 7. 236067977 meters, or 7.24 meters when rounded off to three significant figures. Of course, we can't forget PXC, which is PX, two meters, plus XC, which is the square root of twenty six meters. So, that means PXC is a 7.099019 meter long route, or 7.10 meters to three significant figures. Finally, let's go on to PMC, which is a little more complicated. That's PM, which is 2.061552813 meters, and MC, which is 5.024937811 meters. That means PMC is 7.086490265 meters long, or 7.10 meters long when rounded off to three significant figures. Therefore, the shortest route is PMC. Of course, that's in exact figures. Rounded off to three significant figures, it's a tie between PXC and PMC. Now we're going to look at the assumptions we've made. First of all, the sum of two sides of a triangle must be greater than the length of the third side. Secondly, the spider must only be able to move in straight lines which connect two points, and not in curves or irregular lines. Also, the spider must not be able to retreat along any route. Finally, we're going to assume that the spider can't be able to swing from surface to surface. In conclusion, Route 4, that is, PMC, is the shortest route, and of course, we have working to back that claim up. Thank you for watching this video.

Friday, 24 August 2012


Name: Neo Ting Wei Terrence
Class: S203
Scenario: 3

Part A: My Video Presentation

Blogger could not upload the video. Please use the links below.

Link to script (Mediafire 1-time download link): Mediafire 1-Time Download Link

Link to video (Dropbox Direct Download): https://dl.dropbox.com/u/18297273/Maths%20PT%202012.zip

Part B: My personal reflection on this activity

a. What are my Key Learning points?
This activity has helped me develop active voice articulation skills for use in presentations, allowing me to project my voice louder and place emphasis on words to make them sound clearer. This also builds my confidence in presentation, so I am now more confident when presenting to an audience. I can articulate my voice better during presenting, and I can adopt certain tones to my voice to help. The use of technology helps me to communicate better with my audience, to give them visuals so they can understand better, without need to read a textbook, so they can learn, by watching, and listening the video alone.

b. What have I understood about Trigonometry and Pythagoras Theorem as an applied learner?
An applied learner is someone who applies the skills he has learned from school and home, to the rest of his life and work. The ability to transfer knowledge to the real world from a textbook is what an applied learner is supposed to do. He is meant to look around, use concepts, apply them in the correct situations. I have understood that Trigonometry and Pythagoras Theorem can be applied to most real-life situations such as measuring height using only a protractor.

Viva Voce - Ethan Lee

Here are the links to download my work. (:

Thank you (:

Viva Voce - Yong Lin

Here's My viva voce Mrs Sin.

VIVASharifa and VIVAJemaimah

Here are my and Jemaimah's videos.

My reflection and workings has been emailed to you.
Posting here because of the requirement.

Sharifa's Viva Voce

Jemaimah's Viva Voce


Name:     Sarah
Class:      S 2-03
Scenario:  3

Part A: My Video Presentation
click on this link for slides and this link for the script.
Download video from this link for better view. (Youtube video has a small problem - black screen at around 0:21.)

Part B: My Personal Reflection on this activity
This performance task has given me a chance to use Trigonometry in such a question and helps me understand the topic fully.
Using Keynote, I am able to present my answer and method clearly and with the calculator I use now, I can easily type down the equation or multiplication that makes use of tan, sin and cos.
I am able to know how much I understand the topic from doing this performance task. I was also able to use past knowledge from different topics (i.e. multiplying a number to both sides of an equation) in my question.
I understand that being an 'applied learner' means to be able to use knowledge and understanding of a topic or method on a possible real-life problem that can help me or someone derive an answer easily. For example, instead of having to climb the tree and measure the tree from top to bottom, I could roughly measure the angle of elevation and figure out the height, all on the ground. (This is if my scenario were a real-life problem)
After doing this video, I learnt that making this video takes a lot of patience and planning such that the audio and slides are recorded nicely, the script explains everything crystal clear and everything is in line. The whole process took more than 2 hours of work.

Viva Voce _ Joshua Leong

Here are the links to download the files. :)
Maths Reflections:

Maths Script:

The finalized video:

Remedial Session over September break

There will be one session of remedial over the September break.

Date: 4 Sept 2012
Time: 8 - 10 am
Venue: Learning Oasis 2
Materials required: Exam Preparation Part 1 & 2, LD

The content covered in the session will not be repeated in class hence you are strongly encouraged to turn up unless you are overseas.

A letter will be issued to your parents soon.

Thank you.

Mrs Sin

Thursday, 23 August 2012


Dear all

After scrutinizing the information provided to you on Google Site, please adhere to the submission guidelines as closely as possible. (i.e. post a link on blog/ embed the video on blog) INCLUDING the REFLECTION and script.

However, I will permit you to pass me your video file on a thumb drive only for tomorrow but please come by the staff room during recess so we do not take up curriculum time.

I will only be available in Mr Johari's room in the afternoon after 2.45pm as I have to invigilate some students who missed their level test. I will wait for you until 3pm.

Thank you.

Mrs Sin

Friday, 17 August 2012

Housekeeping matters (17 August 2012)

There are a few items for you to take note of this long weekend.

1. Answers for Matrices Assignments 1 - 3 : on google site (S203)
2. Additional Practice for Standard Form : Ace-learning worksheet (answers on google site (S203))
3. Similar Solids solutions : google site (S203)
4. Indices Revision Quiz : ace-learning
5. Matrices Quiz 3 : ace-learning (contains applications, please read ahead)

For those who have problem accessing the google site, you can get friends to email the file to you. I am unable to post the worksheets on the blog as it is public.

Thank you.

Mrs Sin

Wednesday, 15 August 2012

Topics for Level Test

Here are the topics for level test.

Indices, Standard Form, Congruency and Similarity, Trigonometry, Pythagoras' Theorem, Matrices (up to multiplication)

Duration is 60 min.

Calculators are allowed. (approved models only)

Thank you.

Monday, 13 August 2012


Here are two slideshows on matrices.

Matrices 1 by David Godfrey

Matrices and Applications of Matrices by mailrenuka

Applications of Matrices

Prior to the activity, study the slides on matrices.

In groups of 4 or 5, research on the application of matrices in the real world and put up at least one relevant, good quality resource regarding how matrices are used.

Post (under comments) the link/ file for the resource and do a short summary (5 lines) on the application on the class blog. Be sure to acknowledge the source.

Friday, 3 August 2012

Covert Footwork Competition

If you are interested in joining this competition, please fill in the following form by 7th August 2012.

Sunday, 22 July 2012

Level Test 3 revision

Hi everyone,

here is the revision notes as mentioned. Apologies for not uploading the video as I have some problems recording.

Please download and study. These are meant to support your revision and not to replace your notes and worksheets. You should still revise from the materials given in class.

Download here:

Angle Properties revision
Level Test 3 revision notes

Thursday, 12 July 2012

Similar Triangles Lesson 2

Task 1:

Download the template:
Open it using GeoGebra, construct a triangle with the following measurements:
Member 1: AB = 5 units, BC = 12 units and AC = 13 units.
Member 2: AB = 10 units, BC = 24 units and AC = 26 units.
Member 3: AB = 2.5 units, BC = 6 units and AC = 6.5 units.
Ensure all lengths are shown in your diagram.

Go to the link below and post a screen shot of your triangle. Post your stickies together as a group (i.e. 3 stickies next to each other)


Task 2:

Discuss the following question with your group:
"Are all the triangles in your group similar to each other? Why?"

Post your group's opinions as a sticky next to your group's triangles.

Wednesday, 11 July 2012

Similar Triangles Lesson 1

Task 1:
Download the template:
Using GeoGebra, construct a triangle with angle ABC = 50 deg. and angle BAC = 60 deg. The size should be different from your friends' triangles. Ensure all angles are shown in your diagram.

Go to the link below and post a screen shot of your triangle. Post your stickies together as a group (i.e. 3 stickies next to each other)


Task 2:

Post a sticky next to your triangle and answer the following question:
"Are all the triangles in your group similar to each other? Why?"

Task 3:

Discuss your observations and conclusions from Task 2. Do you agree with each other?
Note your discussion points as a group for presentation afterwards.

Thursday, 28 June 2012

Scheme of Work (Sem 2)

For your reference, students and parents, here are the topics that will be covered in the 2nd semester:

Term 3
Week 1: Standard Form
Week 2 - 3: Congruency and Similarity
Week 4: Area and Volume of Similar Figures
Week 5: Basic Trigonometry
Week 6: Basic Probability
Week 7: Direct and Inverse Proportion
Week 8 - 9: Simultaneous Equations (Including A Math)
Week 10: Matrices

Term 4
Week 1 - 2: Set Notation
Week 3: Revision

Sunday, 3 June 2012

Recommended books list

Hi students (and parents),

as mentioned before the school holidays, here is the list of recommended books and their main purpose:

Note: Sec 3 books are included as SST teach certain topics earlier

Fundamental Practice (Good for building up basics and building speed)
Secondary Two Mathematics Tutor Book 2A (Publisher: Casco)
Secondary Two Mathematics Tutor Book 2B (Publisher: Casco)
Secondary Three Mathematics Tutor Book 3A (Publisher: Casco)
Secondary Three Mathematics Tutor Book 3B (Publisher: Casco)

Exam Practice (Good for everyone to prepare for exams)
O levels 10-Year Series 2002-2011 Topical (any publisher)

Further Practice
Elementary Mathematics: Pass with Distinction (By Topic) (Publisher: Shinglee, 2011 edition)
Mathematics Workbook 2 (Publisher: Shinglee)
Mathematics Workbook 3 (Publisher: Shinglee)

Please do not buy every book unless necessary (will cost >$100). These are only books that I have used and are recommended for students but they are not compulsory buys. Please consult me if you are unsure. 

Enjoy your June break,
Mr Yeo :)

Wednesday, 2 May 2012

Consultation for Common Test

Dear all,

the consultation sessions I am providing to help you are as follows:

Wed (2 May): 1130 - 1330
Thur (3 May): 1100 - 1300

Venue: My classroom (C5-04)

Do come if you have questions to ask. First come, first served!

All the best for your Common Test!

Thursday, 26 April 2012

Pythagoras' Theorem

2 videos on other proofs of the theorem:

This is an e-lesson for those who are still unclear on the concept:

Saturday, 14 April 2012

Register for eBeam Connect account

Dear students,

in preparation for the next few topics, please sign up for a free account at the following web site:


We will be using this in the next 2 weeks before your common test starts. Please register for an account by Tue 17/04/2012.

Thank you for your cooperation :)

Thursday, 12 April 2012

Volume and Surface Area activities

Derivation of Volume of Pyramid:

Deriving the volume of a cone:

Deriving the volume of a sphere:

Tuesday, 10 April 2012

Peer Evaluation (within group)

Quadratic Formula Songs

Search Youtube for more exciting videos!

Support and Talent for Week 4 and 5

Hi everyone,

please be informed that Support and Talent for Weeks 4 and 5 will be cancelled.

Week 4: Sports heats
Week 5: I will be attending a course in MOE

All support students will receive a fun pack to work on for these 2 weeks, to be given out during lessons.

Tuesday, 27 March 2012

Level Test 2 (Term 2)

Hi everyone,

Level Test 2 is next week. Monday 1st period.

Please bring along your calculator, ruler and writing equipment. Foolscap and graph paper are not required.

Concepts tested:
  • Expansion
  • Factorisation
  • Change of subject
  • Algebraic fractions
  • Using factorization to solve quadratic equations
  • Using completing the square to solve quadratic equations
  • Using formula to solve quadratic equations
  • Calculate distance, speed and time from D-T and S-T graphs
  • Sketch D-T and S-T graphs