Saturday, 13 July 2013

5 THINGS WE NEED TO KNOW WHEN DRAWING A GRAPH :D

1) SCALE

Example :
Horizontal axis 
 8cm: 1 unit

Vertical axis :
2cm to 1 unit

*sometime the scale is given in the question*
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2) Accuracy
-> How accurate the graph is
eg.
 Accuracy =1/2 square
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3) FOR LINEAR LAW
->> Vertical intercept must be shown in the graph

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4) Size of graph
The graph should fill up 2/3 of the graph paper
~ which means we have to choose the scale properly.
> For accuracy purpose
>> Less error

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5) Table of values must be shown
example



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


Wednesday, 13 March 2013

Tuesday, 5 March 2013


Introduction:

For a quadratic equation \( a{x}^2+bx+c=0 \):

Discriminant
\( {b}^2-4ac \)
Nature of roots
Characteristics of curve
> 0


2 real and distinct roots

The curve cuts the x-axis (\(y=0\)) at 2 different points
Perfect square

2 real and rational roots
Not a perfect square
2 real and irrational roots
= 0
2 real and equal roots
The curve touches the x-axis at \(x=-\frac { b }{ 2a }  \).  The x-axis is a tangent to the curve.
< 0
No real roots
The curve does not cut or touch the x-axis.
It lies entirely above (a > 0) or below
(a < 0) the x-axis.

From the first 2 points, we conclude that

                                      \({ b }^{ 2 }-4ac\ge 0\Longleftrightarrow \) the roots are real