Tuesday, 24 September 2013

Final push!

hi everyone,

been a good 3 months with everyone in the group here. Frankly, its 'scaringly' fast, seeing how fast time flew by.

Now its the final lap for Yr 3, push on!

remember, you are only 14 or 15 once. YOLO.
Don't waste any single bit of your precious youth.

I'm sure all of you will surely achieve,  if u persevere and fight hard enough for what you wish for and earnestly want to own.

Wee.


Monday, 16 September 2013

Assessment in Term 4 2013

Dear SSTudents,

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)
•   Percentage (moe 1.3)
•   Kinematics / speed  (moe 1.4)
•   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)
•   Congruence and similarity (moe 2.2)
•   Properties of circles (moe 2.3)
•   Coordinate geometry (moe 2.6)
•   Data analysis  (moe 3.2)

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) 

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.



Thursday, 29 August 2013

Video links for 'How to use the Graphic Calculator'

Hi everyone,

as promised.

PLEASE DO TRY THESE AND KNOWING THESE SKILLS ARE ESSENTIAL! 

Video links on ow to use the graphics calculator: 


Essential GDC Skills

View each video carefully and learn these fundamental GDC skills.

1. Basic Graphing Controls
a. Zoom Options

b. Setting the Window

2. Graphing Basics

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

b. Finding coordinates of turning points of a graph:

c. Finding intersection between two graphs:
(comes with exercises)

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

3. PlySmlt2
a. Using PlySmlt2 for Solving Quadratic Equations

b. Using PlySmlt2 to Solve a System of Equations

c. Using PlySmlt2 to Solve Polynomial Equations


Monday, 5 August 2013

Level Test Coverage (Updated 13 Aug)

Hi ,

16 August - A Math
Coordinate Geometry, Linear Law, Trigonometry (AM Chapter A11 pages 1 to 16 only)
i.e: Cosecant, Secant, Cotangent and beyond are all NOT covered

21 August - Math
Coordinate Geometry , Trigonometry (EM Chapter 10: Sine & Cosine rules , Area of Triangle, Bearings and 3D diagrams only)

we will revisit the chapters in class and go thru Coordinate Geo during remedial on 13Aug.

All the best!

Instructions for graphing on the Ti-84 calculator

Instructions for graphing on the Ti-84 calculator






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%) 
Wk 7-8
format:   1 hour
Marks:    40 marks
Topics
EM
     Coordinate Geometry
     Trigonometry
AM
     Coordinate Geometry
     Trigonometry
     Linear Law

Paper 3 - AM (10%) 
PT2       - EM (10%)

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.

image.jpeg


Tuesday, 8 January 2013

Monday, 7 January 2013

01 POLYNOMIAL - FUNCTIONS

Dear 302s,

Welcome to the very first Mathematics Lesson of the year 2013.

We will be looking at FUNCTIONS & RELATIONS to start off the year...

So what exactly is a Function?

Click on this to find out more about Functions....


A Function has input and output. A good analogy of this would be a vending machine.
1) Explain further why this analogy is used to depict a function?

2) Can you think of other analogy?

3) What are the assumptions made?

Input your answers to the aboved 3 questions under the comment section.

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 Test 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 monitoring 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