## Friday, 20 September 2013

## Monday, 16 September 2013

### Assessment in term 4 2013

Dear SSTudents,

As mentioned earlier the deadline of the PT2 is 16 September 2013 @ 2359. To date many students have submitted their products with high quality questions and 'proof's. Effective use of ICT tools (google, Blog, Geogebra, Keynote, Powerpoint, Pretzi etc) have further enhanced the final product.

The assessment information will be as follows:

Date:

(Please be punctual and ensure you have a heavier meal in the morning)

Time: 3.00 pm to 4.00 pm

Venue: Auditorium

Note that you are required to sit according to your classes and index numbers. The teachers will supervise you on this.

Logistic:

TI84 Graphic Calculator (or other approved GC model)

(no other calculator will be allowed)

Stationery - pen and ruler

Please refer to your class math blog or google site earlier entries on this.

**1. Performance Task 2 (in lieu of Elementary Mathematics)**As mentioned earlier the deadline of the PT2 is 16 September 2013 @ 2359. To date many students have submitted their products with high quality questions and 'proof's. Effective use of ICT tools (google, Blog, Geogebra, Keynote, Powerpoint, Pretzi etc) have further enhanced the final product.

**2. Paper 3 (in lieu of Additional Mathematics)**The assessment information will be as follows:

Date:

**23 September**2013 (Monday)(Please be punctual and ensure you have a heavier meal in the morning)

Time: 3.00 pm to 4.00 pm

Venue: Auditorium

Note that you are required to sit according to your classes and index numbers. The teachers will supervise you on this.

Logistic:

TI84 Graphic Calculator (or other approved GC model)

(no other calculator will be allowed)

Stationery - pen and ruler

**3. Information on EOY**Please refer to your class math blog or google site earlier entries on this.

*All the best - you can do it because we have faith in you but do you!*## Saturday, 31 August 2013

### Update on Assessment (i) PT2 (ii) P3 (iii) EOY

**(1) Performance Task 2**

This constitutes the Elementary Mathematics component of Assessment.

The performance task focuses on the topic of Geometrical Proof - Circle Properties. (please refer to Blog entry on Mathematics Performance Task 2)

Deadline for submission is

**Term 4 Week 1 (first lesson)**

**(2) Paper 3**

This constitutes the Additional Mathematics component of Assessment.

This will be conducted in

**Term 4**.
Students are expected to familiarise themselves with GC-TI84+.

(please refer to your Math teacher on information on use of GC-TI84+)

**(3) End-of-Year Examination: Mathematics**

Information pertaining to the Maths exam has been communicated to the students in the GoogleSite (as well as the Maths blog).

__Elementary Mathematics paper 1__

Date:

**27 September 2013**(Friday)
Duration: 1 hour 30 minutes

__Elementary Mathematics paper 2__

Date:

**30 September 2013**(Monday)
Duration: 2 hours

__Additional Mathematics__

Date:

**4 October 2013**(Friday)
Duration: 2 hours 30 minutes

**Table of Specification**

__A. Elementary Mathematics__

• Numbers and the four operations (moe 1.1)

• Algebraic representation and formulae (moe 1.5)

• Functions and graphs (moe 1.7)

• Algebraic manipulation (moe 1.6)

• Solutions of equations and inequalities (moe 1.8)

• Properties of circles (moe 2.3)

• Coordinate geometry (moe 2.6)

• Trigonometry

• Mensuration

__B. Additional Mathematics__

**(A1) Equations and inequalities**

**Conditions for a quadratic equation**

Solving

**simultaneous equations**in two variables with at least one linear equation, by substitution
Relationships between the

**roots and coefficients of a quadratic equation**
Solving

**quadratic inequalities**, and representing the solution on the number line**(A2) Indices and surds**

**Four operations**on indices and surds, including rationalising the denominator

**Solving equations**involving indices and surds

**(A3) Polynomials and Partial Fractions**

Multiplication and division of polynomials

Use of

**remainder and factor theorems**
Factorisation of polynomials

**Partial fractions**

**(A4) Binomial Expansions**

**(A5) Power, Exponential, Logarithmic, and Modulus functions**

**(G1)**Trigonometric functions, identities and equations.

- · Six trigonometric functions for angles of any magnitude (in degrees or radians)
- ·
**Principal values**of sin–1x, cos–1x, tan–1x - · Exact values of the trigonometric functions for
**special angles**(30°,45°,60°) or (π/6, π/4, π/3) - ·
**Amplitude, periodicity and symmetries**related to the**sine and cosine**functions - ·
**Graphs**of**y**=**a**sin(**bx**) ,**y**=**a**sin(**x/b + c**),**y**=**a**cos(**bx**) ,**y**=**a**cos(**x/b + c**) and**y**=**a**tan(**bx**) , where a is real, b is a positive integer and c is an integer. - · Use of the following
- ∗ (BASIC TRIG RULES)
- sin A/cos A=tan A,
- cos A/sin A=cot A,
- sin2A+cos2A=1,
- sec2A=1+tan2A,
- cosec2A =1+cot2A
- (DOUBLE ANLES)
- the expansions of sin(A ± B), cos(A ± B) and tan(A ± B)
- the formulae for sin 2A, cos 2A and tan 2A
- (R-FORMULA) - the expression for acosu + bsinu in the form Rcos(u ± a) or R sin (u ± a)
- Simplification of trigonometric expressions
- ·
**Solution of simple trigonometric equations**in a given interval (excluding general solution) - ·
**Proofs**of simple trigonometric identities

**(G2) Coordinate Geometry**

Condition for two lines to be parallel or perpendicular

**(G2) Linear Law**

**Transformation of given relationships, including y = axn and y = kbx, to linear form to determine the unknown constants from a straight line graph**

**Resource and References**

The following would be useful for revision:

- Maths Workbook
- Study notes
- Homework Handouts
- Exam Prep Booklets (that was given since the beginning of the year)
- Ace Learning Portal - where they could attempt practices that are auto-mark
- Past GCEO EM and AM questions (students were recommended to purchase these at the beginning of the year)

**(4) General Consultation and Timed-trial during the school holidays**

**Monday 9 September 2013**(Monday). The focus would be on Additional Mathematics and students are strongly encouraged to attend.

Duration: 0800 - 1030 (2 hours 30 minutes)

### Mathematics Performance Task 2

**Due Term 4 Week 1 (first Mathematics Lesson)**

*the file could be downloaded from google site.*

Please fill-up this form once you have submitted the work.

## Friday, 30 August 2013

### Essential GC skills for Paper 3

View each video carefully and learn these fundamental GDC skills.

1. Basic Graphing Controls

a. Zoom Options

http://www.youtube.com/watch?v=r7DWbhWd9zE&list=PLB1A524363687A860

b. Setting the Window

http://www.youtube.com/watch?v=a_uJpI6LXr4

2. Graphing Basics

a. Graph a line and find the table of values:

http://www.youtube.com/watch?v=3WctC2xCnI0

b. Finding coordinates of turning points of a graph:

http://www.youtube.com/watch?v=pXRbQv8gauI

c. Finding intersection between two graphs:

http://www.youtube.com/watch?v=M-1QUYQbYHM

(comes with exercises)

d. Finding roots and y-intercept of a graph:

http://www.youtube.com/watch?v=TGWrsnPNfnM

3. PlySmlt2

a. Using PlySmlt2 for Solving Quadratic Equations

http://www.youtube.com/watch?v=NBRzvsJ6ros

b. Using PlySmlt2 to Solve a System of Equations

http://www.youtube.com/watch?v=Dyox4aNR0Zc

c. Using PlySmlt2 to Solve Polynomial Equations

http://www.youtube.com/watch?v=3CoNcxnVbtY

## Thursday, 1 August 2013

## Saturday, 6 July 2013

### Semester 2 Update

###
**1. Scheme of Work (Syllabus for Semester 2)**

**Term 3**

Wk 1 (AM) LINEAR LAW

Wk 2-3 (EM) TRIGONOMETRY

- Sine Rule, Cosine Rule, bearings, Angle of Elevation, 3D problems (EM)

Wk 4-6 (AM) TRIGONOMETRY (AM)

Wk 7 (EM) PROPERTIES OF CIRCLES

Wk 8 (AM) CIRCULAR MEASURE

Wk 9-10 (AM) BINOMIAL THEOREM

**Term 4**

Wk 1 Revision

Wk 2 EOY Exam

**Self Directed Learning**(AM) URVES & CIRCLES

###
**2. Assessment **

**Level Test 2 (10%)**

format: 1 hour

Marks: 40 marks
Topics

EM

Coordinate Geometry

Trigonometry

AM

Coordinate Geometry

Trigonometry

Linear Law

**Paper 3 - AM (10%)**

**PT2 - EM (10%)**

### Notes on graph plotting

~ Use suitable scale

- Write down scale on the graph paper

~ Use about 2/3-3/4 of the page

- Allows you to maximize the scale, making your graph more accurate

~ Label axis

~ Accuracy of graph: Half a small square box

~ Must show vertical/y intercept (Especially important for linear law)

~ Show your table of values

- At least 3 points

## Sunday, 21 April 2013

### AM and EM Assessment Book (GCE O format)

To assist students in their revision and preparation for GCE 'O' Level, the Mathematics Department has made arrangement with the bookshop to order the following 2 books for the students.

The information is as follows:

- Additional Mathematics by topic $7.00
- Mathematics by topic $5.50

Both will include solution booklet

Please make arrangement with your Math teacher on the procedures for purchases.

## Friday, 5 April 2013

## Monday, 25 March 2013

## Sunday, 17 March 2013

### A02 E question 15

(3x)^lg3=(4x)^lg4

(3^lg3)(x^lg3)=(4^lg4)(x^lg4)

(3^lg3)/(4^lg4)=(x^lg4)/(x^lg3)

=x^(lg4-lg3)

[(3^lg3)/4^lg4)]^(1/lg4-lg3)=x

x=1/12

(3^lg3)(x^lg3)=(4^lg4)(x^lg4)

(3^lg3)/(4^lg4)=(x^lg4)/(x^lg3)

=x^(lg4-lg3)

[(3^lg3)/4^lg4)]^(1/lg4-lg3)=x

x=1/12

## Thursday, 14 March 2013

## Wednesday, 13 March 2013

## Tuesday, 12 March 2013

### A02 EEEEEEE question 15 (Marcellus working)

15) Find the exact value of x if (3x)^1g3 = (4x)^1g4

First, I add log to both sides.

lg (3x)^lg3 = lg (4x)^lg4

Then i will bring down the power

(lg3)(lg 3x) = (lg4)(lg 4x)

Expand

(lg3)^2+(lg3)(lgx) = (lg4)^2+(lg4)(lgx)

Change of subject

(lg3)^2-(lg4)^2 = (lg4)(lgx)-(lg3)(lgx)

Factorise

(lg3)^2-(lg4)^2 = (lgx)[(lg4)-(lg3)]

Change the subject of equation to (lgx)

lgx = [(lg3)^2-(lg4)^2]/[(lg4)-(lg3)]

Further simplify

lgx = -(lg3+lg4)

=-lg12

Remove lg from both sides

x = 12 ^(-1)

x=1/12 #

First, I add log to both sides.

lg (3x)^lg3 = lg (4x)^lg4

Then i will bring down the power

(lg3)(lg 3x) = (lg4)(lg 4x)

Expand

(lg3)^2+(lg3)(lgx) = (lg4)^2+(lg4)(lgx)

Change of subject

(lg3)^2-(lg4)^2 = (lg4)(lgx)-(lg3)(lgx)

Factorise

(lg3)^2-(lg4)^2 = (lgx)[(lg4)-(lg3)]

Change the subject of equation to (lgx)

lgx = [(lg3)^2-(lg4)^2]/[(lg4)-(lg3)]

Further simplify

lgx = -(lg3+lg4)

=-lg12

Remove lg from both sides

x = 12 ^(-1)

x=1/12 #

## Monday, 11 March 2013

### Math File Check (Selected Students)

The following students have been randomly selected for file check by the Mathematics Department:

Index no 4, 7, 9, 13, 18 & 21.

Please ENSURE that your file is in order and ready

Checklist:

1. Is there a content page?

2. Did I complete

**my corrections?**__all__Please ENSURE that your file is in order and ready

**by 13Mar (Wed) in class**before your Math lesson.## Friday, 8 March 2013

### Reflection - Maths Level Tests

There are two

**separate**reflections for Elementary Mathematics and Additional Mathematics. Please scroll down to the next two posting to complete your reflection.## Tuesday, 5 March 2013

### Revision: Solving Quadratic Equation

### Revision : Solving Quadratic Equations

source: http://www.regentsprep.org/Regents/math

Let us review what has been done in previous 2 years.

Let us review what has been done in previous 2 years.

## Friday, 1 March 2013

### Math File Check

Please bring your Math file to class by 4Mar. You should have completed the filing and corrections.

## Tuesday, 19 February 2013

### Alternative method for Q25(b) Pg123 Surds

All roads lead to Rome. Which road do you prefer to take?

Alternative road (be careful of the change of sign when you apply the brackets):

Road taken in class today:

Alternative road (be careful of the change of sign when you apply the brackets):

Road taken in class today:

## Monday, 21 January 2013

### Announcement 21/1

1. Please bring $158 on the 24/1 (Thursday) for the TI graphical Calculator.

2. Please prepare the following files:

Mathematics - Orange Arch File

Additional Mathematics - Yellow Arch File

## Tuesday, 15 January 2013

## Monday, 14 January 2013

### Math Diagnostic test answers / Workings

Hi, the pictures below contain the ans / workings.

For question 7, it involves using the remainder theorem. (refer to A-math TB pg 16)

## Wednesday, 9 January 2013

## Tuesday, 8 January 2013

## Friday, 4 January 2013

### BEGIN WITH THE END IN MIND

*by Mr Johari*

*Welcome to an exciting year 2013*

Success comes with adequate preparation and as a start do take note of the following.

1. Know your

**Syllabus for 2013**.

Elementary Mathematics 4016 (SEAB site)

Additional Mathematics 4038 (SEAB site)

2.

**Right Resources**.

SST Maths Note (Sec 3 term 1)

Optional Reference Book

Calculator (with approved SST seal)

SST Foolscap paper and graph papers (for assignments)

ICT Resources (Class Maths Blog, ACE Learning, graphing tools etc)

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 Tes**t 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

duration - 20 -30 minutes

5.

**Daily learning and monitorin**g platforms

Class work - in the form of activities and practice questions

Assignment - to be done on SST foolscap papers

(or SST exercise books - pending style of teacher)

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

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

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