top of page
Fundamental topics
Types of numbers:
Over view of natural numbers, whole numbers, negative numbers, rationals and irrationals, including BODMAS rule.
Types of algebraic expressions:
BODMAS rule on algebraic expressions - simple forms, square forms, cube forms, exponents, log and root forms
How to read graphs:
Over-view of the correspondence between algebraic expressions and graphs; including line, parallelogram, circles and conic sections,.
How to construct an equation:
Overview of how to break down a word-problem or a real life event into a method. This is important for both mathematics and physics.
How to solve an equation:
Over-view of what is an equation, how to solve linear and quadratic equations with or without graphs.
How to write proofs of theorems:
Over-view of the difference between a statement and theorem; what does it mean by a 'proof' of a theorem.
Algebra and measurement of
figures
Over-view of the idea of a measurement:
how do we assign numbers and algebraic expressions to areas and measurements.
Algebra and measurement of angles:
Over-view of the idea of a measurement angles and their inter-relationships using the example
of pendulum.
Statistics:
Introduction to probability, statistics
including how to interpret probabilistic
and statistical data.
Vectors:
Over-view of vectors, parallelogram laws and kinematics.
Limits and continuity:
Introductory ideas of limits and continuity
with the usage of graphic calculator.
Cartesian co-ordinates:
Basics of 3d geometry including translation,
rotation and reflection.
Matrix:
Introductory ideas of Matrix algebra
including matrix operations and the idea of
Matrix as an operators.
Complex numbers:
Introduction to complex numbers both as a
number and an operator.
bottom of page