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

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

Assignment of Questions (Performance Task 3)

The following is the assignment of questions for the performance task (Probability).

Pravin, Ragul: Question 1
Princeton, Saishwar, Jun Wei: Question 2
Sean, Nicholas, Cameron: Question 3
Guo Jun, Hung Kye, Ming Yang: Question 4
Hamidshah, Nathaniel, Isaac: Question 5
Yong Hong, Darren, Dominic: Question 6
Dylaine, Jamie, Jean Yee: Question 7
Alvin, Zhi An, Marcellus: Question 8

Please inform me if you are reshuffling your group.

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.

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.

 

Game 2: The Maximum of Two Faces

Calculating the Experimental Probability

After playing the game with your partner, post the probability of Player 1 winning the game in the spreadsheet here.

Calculating the Theoretical Probability

Calculate the theoretical probability in groups of 2 or 4.
After you are done,
1. fill up the answer in the box
2. take a photo of the answer (box)
3. upload it under "comments" to this post.

Game 1: The Difference in Faces

Calculating the Experimental Probability

After playing the game with your partner, post the probability of Player 1 winning the game in the spreadsheet here.

Calculating the Theoretical Probability

Calculate the theoretical probability in groups of 2 or 4.

After you are done,

1. fill up the answer in the box

2. take a photo of the answer (box)

3. upload it under "comments" to this post.

Does the Game Favour any Player? (Predictions)

Experiment, Event, Outcome, Probability

A website that illustrates the terms through a simple example.

Deliverables for 11 Sept 2012

Dear students

I am unwell today. In my absence, please ensure that the following are completed.

Ace-Learning
Complete the following quizzes:
1. Linear Simultaneous Equations
2. Matrices Quiz 2
3. Matrices Quiz 3

Geometrical Constructions
1. How much do you know about Geometrical Constructions? : Google Form on blog
2. 3 assigned questions as stated on blog (worksheet on Google site) - Saishwar please collect, thank you

Probability
Complete the quiz Probability Quiz 1 after reading the assigned chapter.
Complete Mini-Task 1 from the notes.

Thank you.
Mrs Sin

If you have an hour, would you spend it on improving yourself or idling it away?

How much do you know about Geometrical Constructions?

Complete this survey.

Direct and Inverse Proportions (Answers and Amendments)

Answers for both assignments are up on google site.

There are also some amendments on two questions from Assignment 2. Please check.

Kindly pass the word around.

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

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.

VIVASean

http://www.youtube.com/watch?v=Vxzq68btJ6I&feature=youtu.be


Link to my Viva Voce on youtube.Pause the video at the last few seconds of the video to see my working on question (b) on Scenario 1.(I dont know why I cant import pictures of my working to the video, so I had to video to working.)






Reflections(Submit to Mrs Sin on Hardcopy During Maths remedial on Sept Holidays(Tuesday)

Submission of Work (31 Aug 2012)

The students mentioned below, please submit your homework asap.

Jamie: Matrices and Simultaneous Equations
Cameron: Matrices and Simultaneous Equations
Marcellus: Matrices and Simultaneous Equations
Sean: Matrices and Simultaneous Equations
Darren: Matrices and Simultaneous Equations
Nicholas: Matrices
Hamidshah: Matrices and Simultaneous Equations
Princeton: Matrices and Simultaneous Equations
Saishwar: Simultaneous Equations
Alvin: Matrices and Simultaneous Equations
Yong Hong: Matrices and Simultaneous Equations
Pravin: Simultaneous Equations
Ragul: Simultaneous Equations
Nathaniel: Simultaneous Equations
Ming Yang:  Simultaneous Equations

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.

VIVALiuGuoJin

Name: Liu Guo Jin
Class: S2-08
Scenario: 2

Part A: My Video Presentation 
(Submitted)

Part B: My Personal Reflections on this activity
(To be submitted hardcopy to Mrs Sin on Monday)

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

Viva Voce

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

Housekeeping matter (17 August 2012)

Dear all

The following items are up in the respective places. Do make use of your long weekend wisely.

Indices Practice - See Ace-Learning (Indices Revision Quiz)

Standard Form Revision - Quiz answers have been posted on the Google Site (S208)

Matrices Assignments 1 to 3 - Answers have been posted on Google Site (S208)

Matrices Quiz 3 - Ace-Learning (Only on parts tests for Level Test, including applications)

Please do read ahead on the next section on applications.

Thank you.

Mrs Sin

LT3 solution

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.

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.

Matrices

Notes

Matrices 1 from Andrew Grichting

Matrices And Application Of Matrices from mailrenuka

Matrices Concept map 
source: http://faculty.oxy.edu/ron/math/214/Concept%20Map/Matrices.html

Similar Solids

Practice makes perfect

Notes
source: http://www.glencoe.com/sec/math/prealg/prealg03/study_guide/pdfs/prealg_pssg_G095.pdf

Essential Formulae 

Activities
Click on diagrams below and attempt the questions that follows:
Activity 1:  Similar solids (click here to start)

Activity 2: Volume and Surface area of Similar solids (click here to start)

Activity 3: Perimeter, Area and Volume: Changes in scale (click here to start)

Volumes of Similar Solids (linoit.com)

Please go back to the linoit page that we went through today in class and look at the comments.

Stickies have been marked; blue meaning that it is correct, orange meaning that it is incorrect.

Please correct them.

Due Date: 13 August 2012

Covert Footwork Competition

Are you creative? Love problem solving and intrigue by logical thinking problems. Participate in Covert Footwork Competition below. To participate complete the form attached.

About Pythagoras ...

Video 1 (About the Man) Video 2 (Proof) Video 3 So What do you think about Pythagoras? Post comment about the Man, his contributions or the Pythagoras Theorem

Trigonometry Activity 2

Group Activity 2

Post your solution as comments

Trigonometry Activity 1

Group Activity 1

Post your solution as comments

Similarity and Congruency - Answer Key

answer key courtesy of Mr YU Yoong Kheong (MOE/ETD)

Congruency

If one shape can become another using Turns, Flips and/or Slides, then the two shapes are called Congruent:

On-Line Quiz 

Please click here.

source: http://www.mathsisfun.com/geometry

Standard Form

Multitude of sizes

Secret Worlds: The Universe Within

View the Milky Way at 10 million light years from the Earth. Then move through space towards the Earth in successive orders of magnitude until you reach a tall oak tree just outside the buildings of the National High Magnetic Field Laboratory in Tallahassee, Florida. After that, begin to move from the actual size of a leaf into a microscopic world that reveals leaf cell walls, the cell nucleus, chromatin, DNA and finally, into the subatomic universe of electrons and protons.

Click here to see the transformation.

Index Notation and The Powers of 10

sources:
wikipedia
http://www.contracosta.edu
Powers of Ten™ (1977)

Standard Form

What is Standard Form?

Practical Use

Scientific notation is the way that scientists easily handle very large numbers or very small numbers. For example, instead of writing 0.0000000056, we write 5.6 x 10^-9. 

Click here for fundamental concept and worked examples

------------------------------------------------------------------------Operation

Multiplication or Subtraction

Watch the following video and review the example on page 25 and 26.

Reference: Maths Notes

------------------------------------------------------------------------
Addition and Subtraction



Reference: Maths Notes

Significant figures and decimal place by Nathaniel

Significant figures and decimal place

Rules of significant figures

- Trailing zeros or the final zero in a whole number or a decimal place is considered a significant figure. e.g: 0.0420, 0.4300, 430  (numbers in red are significant figures) 

• Zeros in some cases can be considered as not a significant figure. e.g: express 34235 as 1 significant figure. The answer will be 30000. Reason behind why we round down is because anything below 5 round it down while any number 5 and above we would round up. (See more in the decimal place section.)

Rules of Decimal place

- If a number is above 5 then we round up the number if the number is 4 an below we round down. e.g: express 110 to the nearest hundreds and since the 1 at the tens position is below 5 we round it down.

Self Reflection Term 2

Please complete the following e-Self Reflection. The key objective is to assist you in building your competency as wellas mastery of the subject. Thank you.

Pythagoras Solution

Pythagoras Theorem

Topic: 
Pythagoras Theorem


Syllabus:

·       Identify a right-angled triangle and its hypotenuse.

·       Define the Pythagoras’ theorem and understand its symbols.

·       Find the unknown side of a right-angled triangle when the other two sides are given.

·       Solve problems involving right-angled triangles with Pythagoras’ theorem.

·       Determining whether a triangle is right-angled given the lengths of 3 sides.

Who is Pythagoras?

Pythagoras (569-500 B.C.E.) was born on the island of Samos in Greece, and did much traveling through Egypt, learning, among other things, mathematics. Not much more is known of his early years. Pythagoras gained his famous status by founding a group, the Brotherhood of Pythagoreans, which was devoted to the study of mathematics. The group was almost cult-like in that it had symbols, rituals and prayers. In addition, Pythagoras believed that "Number rules the universe,"and the Pythagoreans gave numerical values to many objects and ideas. These numerical values, in turn, were endowed with mystical and spiritual qualities.

What's Pythagoras Theorem?

Pythagoras' theorem states that in any right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

click here on proof and other facts on Pythagoras

What’s a Right Angled triangle?

A right angled triangle has a right angle of 90° as one of its interior angles. In the image here the right angle is marked with the white square.

Any triangle like this is a right angled triangle, it doesn't matter which side the right angle is on or what size the triangle is - the rule applies to all of them.

What’s the Hypotenuse?

According to some sources the word hypotenuse derives from the Greek words for hypo (under) and teinein (stretch) or tenuse (side).

The hypotenuse is the longest side of a right angled triangle. As you can see, the hypotenuse is the side marked in purple on the image above.

What are the other two sides?

Now you know which side the hypotenuse is then this is easy, it's the two other sides marked in orange on the picture above.

OK, so now we know which side is which, what use is it?

Well, understanding the rule means that you can calculate lots of things without having to know the exact exact length of each side?

For example, if you knew that side x was 3 metres and side y was 4 metres long then you would be able to work out the length of the hypotenuse quite easily?

On the image here the hypotenuse is z and the other 2 sides are x and y .

Firstly you need to work out the sum of the squares of both x and y:

X² is 3 x 3 = 9

Y² is 4 x 4 =16

Z² = X² + Y² (25)

The sum of the other 2 sides squared is 25

The length of the hypotenuse therefore is the square root of 25

√25 = 5 ( 5 x 5 = 25)

Watch the video for examples on the application of Pythagoras Theorem

source:
http://www.geom.uiuc.edu/~demo5337/Group3/hist.html
http://www.ies.co.jp/math/java/geo/pythagoras.html

Quadratic - fundamental

Quadratic Equation and Graphs.

Click here for information on

.1 What is the general form of a Quadratic Equation

.2 Types of solution. {one, two or no solution}

.3 Quadratic Graphs and nature of roots

Derivation of Quadratic FormulaQuadratic Equation SolverFactoring QuadraticsCompleting the SquareQuadratic Equation Explorer

click here for slider activity

Mensuration (reflective)

Use the following linoit collaborative platform to consolidate your learning and understanding:
Individually post at least 1 Key Learning point and 1 Question.

Elaboration on

.1 Key learning Points
- What have I learnt from the lesson?
- What are my take ways which will be useful for my learning?
- Useful Formulae taught?

.2 Questions?
- something that I would like to know more
- something that I would like to clarify

Completing The Square

Quadratic - completing the square

Completing the square is a technique to solve Quadratic Equation.
Key questions to ask when using this technique are:

• What is Completing the Square technique?
• Why do we use Completing the Square?
• When is it used?
• How is the Completing the Square technique applied?

The following resources will be used to aid your understanding of the topic on Completing the Square.

Resource 1

Media and Video

Video 1

Video 2: Fundamental


video 3: summary and song


Resource 2

ACE Learning

The link is shown as follows:

Resource 3

Worksheet 3 for notes, worked examples and practice questions.

E-Learning 2012

Hi all,

First and foremost, I thank you all for being wonderful students. When I was away I came to realise how challenging it must have been to be a student in Singapore and my conference with my colleagues (educators and technologists from all over the world) testi

fy that you are certainly capable of achieving great things (results, character et all). They marvel at your works and would like to have the opportunity to meet you eventually.

As we kick start to e-learning week, be clear of the objectives (refer to e-learning portal) and what it hopes to achieve. Below is just brief info to guide you.

Content

Clear rules: simple, relevant, easy to understand (from content to examples) and engaging (teacher teaching, use of ICT or Maths blog - choice is yours)

Worksheet

The worksheet style must be similar to the one I used in class. Content must contain the introduction, information, examples and some questions (with your own solutions)

for sample worksheet: Please refer to googlesite

Grouping and Task

The style of working is up to the respective team.

You may work independently and then consolidate or meet and discuss or work on-line at the designated time.

Remember that learning should take place anywhere and anytime. The key is to work smart. Note that failure to plan is planning for failure.

To support your learning you may refer to any of these sites.

• ACE Learning
• http://www.ask.com/questions-about/Mensuration-in-Maths
• http://www.cimt.plymouth.ac.uk/projects/mepres/allgcse/bkb7.pdf
• http://www.ascenteducation.com/india-mba/iim/cat/questionbank/mensuration.shtml
• http://www.youtube.com/watch?v=JhHOv3ajuN8
• http://www.excellup.com/ClassEight/matheight/mensurationexone.aspx
• http://www.transum.org/software/sw/starter_of_the_day/Similar.asp?ID_Topic=23

Source: e-learning site

Grouping

3 Practical Graph (Intro)4

The following graph describe the motion of a person.

It is the distance (y-axis) against time (x-axis) graph.

Some helpful words for describing the graphs might be:

If possible include a scenario eg. A person while walking fell down and ….

SCENARIO 4