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FIRST TERM

WEEK CONTENTS

1.      Binary operations

a.       Basic concepts

b.      Closure property

c.       Commutative property

d.      Associative property

e.       Distributive property

f.       Identity element

g.       Inverse property

2.      Trigonometric ratios of compound angles

a.       Addition formula

b.      Multiple angle formulae

c.       Product formula

3.      Two- dimensional coordinate geometry

a.       Cartesian coordinates

b.      Distance between two points

c.       Division of line in given ratio

d.      Mid point of two points

e.       Gradients

4.      Two- dimensional coordinate geometry 2

a.       Equations of straight line

b.      Intersection of lines

c.       Collinear points

d.      Parallel and perpendicular lines

e.       Locus of points

f.       Conversion of other graphs to straight line graphs

5.      Differential calculus

a.       Limiting value of a function

b.      Differentiation from first principle

c.       Notation for differentiation

d.      Derivative of sum and difference

e.       Composite rule

f.       Product rule

g.       Quotient rule

h.      Implicit differentiation

6.      Differential calculus 2

a.       Derivative of trigonometric function

b.      Derivative of inverse function

c.       Derivative of logarithmic function

d.      Derivative of exponential function

7.      Applications of differential calculus

a.       Tangents and normals to curves

b.      Increasing and decreasing functions

c.       Approximations

d.      Rates of change

e.       Linear motion

f.       Stationary points

g.       Maximum and minimum value problems

h.      Curve sketching

8.      Sets

a.       Notation

b.      Finite and infinite sets

c.       Subsets and supersets

d.      Equality of sets

e.       Disjoint sets

f.       Power of sets

g.       Venn diagram

h.      Laws of algebraic sets

9.      Circle and its angle properties

a.       Properties of a circle

b.      Angle subtended by an arc of a circle

c.       Angles in the same segment

d.      Cyclic quadrilateral

Second Term: SECOND TERM

WEEK CONTENTS

1.      Revision of last term’s works

2.      Permutation and combination

a.       Factorials

b.      Permutation

c.       Cyclic permutation

d.      Permutation involving identical items

3.      Permutation and combination

a.       Conditional permutation

b.      Combination

4.      Mapping

a.       Mapping

b.      Function

c.¬†¬†¬†¬†¬†¬†¬†Types of mapping: one ‚Äď one; onto

d.      Representation of mapping

e.       Composite mapping

f.       Inverse mapping

5.      Binomial theorem

a.       Pascal’s triangle

b.      Expansions

c.       The binomial expansion formula

d.      Applications of binomial expansion formula

6.      The circle

a.       Equations of a circle

b.      Tangent and normal to a circle

c.       Point outside a circle

7.      Conic sections

a.       The parabola

b.      The ellipse

c.       The hyperbola

8.      Logic

a.       Compound statements

b.      Disjunction

c.       Conjunction

d.      Equivalent statements

e.       Tautology and contradiction

f.       Laws of algebra of logical statement

9.      Solutions of triangles and radian measure

a.       Sine rule

b.      Cosine rule

c.       Area of triangle

d.      Angles of elevation and depression

10.  Solutions of triangles and radian measure

e.       Bearings

f.       Radian measure of triangles

g.       Applications of radian measure to arcs and sectors of circles

11.  Revision

12.  Examination

Third Term: THIRD TERM

WEEK CONTENT

1.      Correlation and regression

a.       Bivarite data

b.      Scatter diagram and regression line

c.       Correlation coefficient from regression line

d.      Rank correlation

2.      Vector geometry

a.       Scalar or dot product of two vectors

b.      Projections on a straight line

c.       Properties of dot product

d.      Trigonometric applications of dot product

e.       Geometric applications of dot product

3.      Equations of motion

a.       Analytical derivation of equations of motion

b.      Motion under gravity

c.       Graphical solutions of linear motion

4.      Projectiles

a.       Time of flight

b.      Maximum height

c.       Range

d.      Maximum range

e.       Trajectory of a projectile

f.       Projection along inclined plane

5.      Newton’s laws of motion

a.       Newton’s laws

b.      Consequences of newton’s laws (force and motion)

c.       Motion along inclined plane

d.      Motion of connected bodies

e.       Impulse and momentum

6.      Work, energy and power

7.      Probability

a.       Sample and event space

b.      Combined events

c.       Mutually exclusive events and non-mutually exclusive events

d.      Independent events

e.       Conditional probability

f.       Tree diagram and outcome tables

8.      Calculating and processing device

a.       Number systems

b.      Decimal system

c.       Binary systems

d.      Octal system

9.      Calculating and processing device 2

e.       Hexadecimal system

f.       Number systems conversion

g.       Relationship between binary, octal and hexadecimal numbers

10.  Revision

11.  Examination

Lesson