**(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

• 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)