Another 4 months plus to O-Level exams!!



I'm rather sure the year end long revision classes are not enough, especially the fact that not all of you can make it for all the revision classes as you have other subjects to prepare for, so check out the following June holiday classes:

The following is only for O LEVEL students!

To help students better prepared for their O Level Examinations, I will spread out and focus on specific topics on each day. If you are VERY SURE you are an expert in particular day topics, Yap! Good news! Dont need to come for that day lesson. All the following 12 sessions cover the entire New O-Level Mathematics syllabus.

Check out the Date/Day/Topics/Sub topics covered as follows:


9th June 2008 Monday 1130am - 1pm

Numbers and the four operations

Include:
- primes and prime factorisation
- finding HCF and LCM, squares, cubes, square roots and cube roots by prime factorisation
- negative numbers, integers, rational numbers, real numbers and their four operations
- calculations with the use of a calculator
- representation and ordering of numbers on the number line
- use of the symbols <, >, =, =
- approximation and estimation (including rounding off numbers to a required number of decimal places or significant figures, estimating the results of computation, and concepts of rounding and truncation errors)
- examples of very large and very small numbers such as mega/ million ()610, giga/ billion ()910, tera/ trillion , micro ()1210()-610, nano ( and pico ) 9-10()-1210
- use of standard form , where n is an integer, and 1 < A < 10 ×10nA
- positive, negative, zero and fractional indices
- laws of indices



Who is Coming?
- Cherie
- Jasvin
- Sangeetha



10th June 2008 Tuesday 1130am - 1pm

Ratio, rate and proportion

Include:
- ratios involving rational numbers
- writing a ratio in its simplest form
- average rate
- map scales (distance and area)
- direct and inverse proportion
- problems involving ratio, rate and proportion

Percentage

Include:
- expressing one quantity as a percentage of another
- comparing two quantities by percentage
- percentages greater than 100%
- increasing/decreasing a quantity by a given percentage
- reverse percentages
- problems involving percentages

Speed

Include:
- concepts of speed, uniform speed and average speed
- conversion of units (e.g. km/h to m/s)
- problems involving speed, uniform speed and average speed



Who is Coming?
- Jasvin
- Jolyn (kevin Cousin)
- Jessie



11th June 2008 Wednesday 1130am - 1pm

Algebraic representation and formulae

Include:
- using letters to represent numbers
- interpreting notations:
- ab as a × b
- ab as a ÷ b
- a2 as a × a, a3 as a × a × a, a2b as a × a × b, . . .
- 3y as y + y + y or 3 × y
- 3±5y as (3 ± y) ÷ 5 or ()y±×351
- evaluation of algebraic expressions and formulae
- translation of simple real-world situations into algebraic expressions
- recognising and representing number patterns (including finding an algebraic expression for the nth term)

Algebraic manipulation

Include:
- addition and subtraction of linear algebraic expressions - simplification of linear algebraic expressions - factorisation of linear algebraic expressions of the form - ax + ay (where a is a constant) - ax + bx + kay + kby (where a, b and k are constants) - expansion of the product of algebraic expressions - changing the subject of a formula - finding the value of an unknown quantity in a given formula - recognising and applying the special products - (a ± b)2 = a2 ± 2ab + b2 - a2 – b2 = (a + b)(a – b) - factorisation of algebraic expressions of the form - a2x2 – b2y2 - a2 ± 2ab + b2 - ax2 + bx + c - multiplication and division of simple algebraic fractions - addition and subtraction of algebraic fractions with linear or quadratic denominator




Who is Coming?
- Jasvin



12th June 2008 Thursday 1130am - 1pm

Functions and graphs

Include:
- cartesian coordinates in two dimensions
- graph of a set of ordered pairs
- linear relationships between two variables (linear functions)
- the gradient of a linear graph as the ratio of the vertical change to the horizontal change (positive and negative gradients)
- graphs of linear equations in two unknowns
- graphs of quadratic functions and their properties
- positive or negative coefficient of x2
- maximum and minimum points
- symmetry
- sketching of the graphs of quadratic functions given in the form
- 2=±()+_yx pq
- __=±()()yxaxb
- graphs of functions of the form =nyax
where n = -2, -1, 0, 1, 2, 3, and simple sums of not more than three of these - graphs of exponential functions =xykawhere a is a positive integer
- estimation of gradients of curves by drawing tangents


Who is Coming?
- Cherie
- Jasvin
- Ken
- Avril
- Yilin



13th June 2008 Friday 1130am - 1pm

Solutions of equations and inequalities

Include:
- solving linear equations in one unknown (including fractional coefficients)
- solving simple fractional equations that can be reduced to linear equations
- solving simultaneous linear equations in two unknowns by
- substitution and elimination methods
- graphical method
- solving quadratic equations in one unknown by:
- factorisation
- use of formula
- completing the square for 2=++yxpxq
- graphical methods
- solving fractional equations that can be reduced to quadratic equations
- formulating equations to solve problems
- solving linear inequalities in one unknown, and representing the solution set on the number line



Who is Coming?
- Jasvin
- Christiana
- Jolyn (kevin Cousin)
- Jessie
- Pearlyn



14th June 2008 Saturday 430 - 6pm

Applications of mathematics in practical situations

Include:
- problems derived from practical situations such as
- utilities bills
- hire-purchase
- simple interest and compound interest
- money exchange
- profit and loss
- taxation
- use of data from tables and charts
- interpretation and use of graphs in practical situations
- drawing graphs from given data
- distance-time and speed-time graphs
- Exclude the use of the terms percentage profit and percentage loss


Who is coming?
- Sangeetha
- Jasvin
- Christiana
- Jolyn (kevin Cousin)
- Jessie
- Jillian
- Pearlyn



15th June 2008 Sunday 1030am - 12pm

Set language and notation

Include:
- use of set language and the following notation:
- Union of A and B A ? B
- Intersection of A and B A n B
- Number of elements in set A n(A)
- “… is an element of …” ?
- “… is not an element of …” ?
- Complement of set A A'
- The empty set Ø
- Universal set
- A is a subset of B A ? B
- A is a proper subset of B A ? B
- A is a not a subset of B A ?B /
- A is a not a proper subset of B A ? B
- union and intersection of two sets
- Venn diagrams
- Exclude :
- use of _n()=n()+n() n()ABABAB?n
- cases involving three or more sets

Matrices

Include:
- display of information in the form of a matrix of any order
- interpreting the data in a given matrix
- product of a scalar quantity and a matrix
- problems involving the calculation of the sum and product (where appropriate) of two matrices
- Exclude:
- matrix representation of geometrical transformations - solving simultaneous linear equations using the inverse matrix method


Who is Coming?
- Cherie
- Jasvin
- Avril
- Christiana
- Jolyn (kevin Cousin)
- Jessie
- Yilin



17th June 2008 Tuesday 945 - 1115am

Angles, triangles and polygons

Include:
- right, acute, obtuse and reflex angles, complementary and supplementary angles, vertically opposite angles, adjacent angles on a straight line, adjacent angles at a point, interior and exterior angles
- angles formed by two parallel lines and a transversal: corresponding angles, alternate angles, interior angles
- properties of triangles and special quadrilaterals
- classifying special quadrilaterals on the basis of their properties
- angle sum of interior and exterior angles of any convex polygon
- properties of regular pentagon, hexagon, octagon and decagon
- properties of perpendicular bisectors of line segments and angle bisectors
- construction of simple geometrical figures from given data (including perpendicular bisectors and angle bisectors) using compasses, ruler, set squares and protractor, where appropriate


Who is Coming?
- Jasvin
- Christiana
- Jillian
- Gwen



17th June 2008 Tuesday 2 - 330pm

Congruence and similarity

Include:
- congruent figures and similar figures
- properties of similar polygons:
- corresponding angles are equal
- corresponding sides are proportional
- enlargement and reduction of a plane figure by a scale factor
- scale drawings
- determining whether two triangles are
- congruent
- similar
- ratio of areas of similar plane figures
- ratio of volumes of similar solids
- solving simple problems involving similarity and congruence


Who is Coming?
- Jasvin
- Christiana
- Jillian



18th June 2008 Wednesday 2 - 330pm

Properties of circles

Include:
- symmetry properties of circles:
- equal chords are equidistant from the centre
- the perpendicular bisector of a chord passes through the centre
- tangents from an external point are equal in length
- the line joining an external point to the centre of the circle bisects the angle between the tangents
- angle properties of circles:
- angle in a semicircle is a right angle
- angle between tangent and radius of a circle is a right angle
- angle at the centre is twice the angle at the circumference
- angles in the same segment are equal
- angles in opposite segments are supplementary

Mensuration

Include:
- area of parallelogram and trapezium
- problems involving perimeter and area of composite plane figures (including triangle and circle)
- volume and surface area of cube, cuboid, prism, cylinder, pyramid, cone and sphere
- conversion between cm2 and m2 , and between cm3 and m3
- problems involving volume and surface area of composite solids
- arc length and sector area as fractions of the circumference and area of a circle
- area of a segment
- use of radian measure of angle (including conversion between radians and degrees)
- problems involving the arc length, sector area of a circle and area of a segment



Who is Coming?
- Cherie
- Jasvin
- Ken
- Christiana
- Jillian



20th June 2008 Friday 2 - 330pm

Pythagoras’ theorem and trigonometry

Include:
- use of Pythagoras’ theorem
- determining whether a triangle is right-angled given the lengths of three sides
- use of trigonometric ratios (sine, cosine and tangent) of acute angles to calculate unknown sides and angles in right-angled triangles
- extending sine and cosine to obtuse angles
- use of the formula 1sin2abC for the area of a triangle
- use of sine rule and cosine rule for any triangle
- problems in 2 and 3 dimensions including those involving angles of elevation and depression and bearings
- Exclude calculation of the angle between two planes or of the angle between a straight line and a plane


Who is Coming?
- Jasvin
- Ken
- Christiana
- Jillian



21st June 2008 Saturday 430 - 6pm

Coordinate geometry

Include:
- finding the gradient of a straight line given the coordinates of two points on it
- finding the length of a line segment given the coordinates of its end points
- interpreting and finding the equation of a straight line graph in the form =+ymxc
- geometric problems involving the use of coordinates
- Exclude:
- condition for two lines to be parallel or perpendicular
- mid-point of line segment
- finding the area of quadrilateral given its vertices

Vectors in two dimensions

Include:
- use of notations
- directed line segments
- translation by a vector
- position vectors
- magnitude of a vector
- use of sum and difference of two vectors to express given vectors in terms of two coplanar vectors
- multiplication of a vector by a scalar
- geometric problems involving the use of vectors
- Exclude:
- expressing a vector in terms of a unit vector
- mid-point of line segment
- solving vector equations with two unknown parameters



Who is Coming?
- Cherie
- Jasvin
- Avril
- Christiana
- Jolyn (kevin Cousin)
- Jessie
- Jillian



22nd June 2008 Sunday 1030am - 12pm

Data handling

Include:
- data collection methods such as:
- taking measurements
- conducting surveys
- classifying data
- reading results of observations/outcomes of events
- construction and interpretation of:
- tables
- bar graphs
- pictograms
- line graphs
- pie charts
- histograms
- purposes and use, advantages and disadvantages of the different forms of statistical representations
- drawing simple inference from statistical diagrams
- Exclude histograms with unequal intervals

Data analysis

Include:
- interpretation and analysis of:
- dot diagrams
- stem-and-leaf diagrams
- mean, mode and median as averages
- purposes and use of mean, mode and median
- calculation of the mean for grouped data
- quartiles and percentiles
- range, interquartile range and standard deviation as measures of spread for a set of data
- interpretation and analysis of:
- cumulative frequency diagrams
- box-and-whisker plots
- calculation of the standard deviation for a set of data (grouped and ungrouped)
- using the mean and standard deviation to compare two sets of data


Who is coming?
- Sangeetha
- Cherie
- Jasvin
- Avril
- Christiana
- Jolyn (kevin Cousin)
- Jessie
- Yilin



22nd June 2008 Sunday 12 - 130pm

Probability

Include:
- probability as a measure of chance
- probability of single events (including listing all the possible outcomes in a simple chance situation to calculate the probability)
- probability of simple combined events (including using possibility diagrams and tree diagrams, where appropriate)
- addition and multiplication of probabilities
- mutually exclusive events and independent events
- Exclude use of _P()=P()+P()P()

Who is coming?
- Sangeetha
- Cherie
- Jasvin
- Avril
- Christiana
- Jolyn (kevin Cousin)
- Jessie
- Yilin






Kindly call me at 64257865 for enquires.

Best regards,
Miss Wu