**(1) Performance Task 2**

This constitutes the Elementary Mathematics component of Assessment.

Deadline for submission is **Term 4 Week 1 Day 1 2359**

**(2) Paper 3**

This constitutes the Additional Mathematics component of Assessment.

This will be conducted in **Term 4 (23 September 2013)**.

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

__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**

During the school holidays, there would be a timed-trial on **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)