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  = asin(bx) ,      = sin(x/b + c),     = acos(bx) ,      = cos(x/b + c) and          = atan(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 = axand 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) 

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