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Whole Numbers
We live in the world of
numbers, surrounded by
numerical facts, data
and information. They
serve as a foundation
for many other branches
of mathematics. In this
course, we develop the
ideas of prime and composite
numbers. Finally, we explore
some interesting patterns
and relationships.
Prerequisites:
Duration:
15 hours | Self-paced
learning
less
Topics covered:
Factors and multiples,
LCM and HCF, Squares,
Cubes, Square roots, Cube
roots, Number patterns,
Special numbers (e.g.
Triangular numbers, Fibonacci
numbers).
Students will learn:
• To identify prime
and composite numbers
and list them
• The difference
between a divisor and
a factor
• To find the Highest
Common Factor and Least
Common Multiple
• Divisibility rules
to determine divisibility
by a number
• That geometrical
and numerical patterns
can be represented
symbolically
• About Triangular
numbers, Fibonacci sequence,
Pascal’s Triangle
etc...
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Geometry
There is a saying 'Where
there is matter, there
is geometry'. As it suggests
geometry is the study
of the size, shape and
form. You will find their
application in art, architecture,
robotics, graphics and
many more! This course
introduces to the basics
of geometry, the relationships
between points, lines
and angles and also to
properties of polygons.
Prerequisites:
Basic arithmetic
Duration:
10 hours | Self-paced
learning
more
Geometry
There is a saying 'Where
there is matter, there
is geometry'. As it suggests
geometry is the study
of the size, shape and
form. You will find their
application in art, architecture,
robotics, graphics and
many more! This course
introduces to the basics
of geometry, the relationships
between points, lines
and angles and also to
properties of polygons.
Prerequisites:
Basic arithmetic
Duration:
10 hours | Self-paced
learning
less
Topics covered:
Angle Properties, including
angles at a point, on
a straight line, vertically
opposite angles, angles
formed by parallel lines,
angles formed by triangles.
Polygons, sum of interior
and exterior angles formed
by convex polygons.
Students will learn:
• That angle is
a measure of rotation
• That angles can
be classified according
to their unique properties
• That interior
and exterior angles of
polygon are dependent
on its number
of sides.
• To use appropriate
angle properties to calculate
unknown angles
of regular and irregular
polygons.
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Mensuration I
Mensuration is an art
of measuring! In this
course, you will learn
formulas for computing
perimeter and areas of
plane geometical figures
such as triangles, quadrilaterals
and circles based on their
known dimensions.
Prerequisites:
Basic geometry, Arithmetic
Skills
Duration:
15 hours | Self-paced
learning
more
Mensuration I
Mensuration is an art
of measuring! In this
course, you will learn
formulas for computing
perimeter and areas of
plane geometical figures
such as triangles, quadrilaterals
and circles based on their
known dimensions.
Prerequisites:
Basic
geometry, Arithmetic Skills
Duration:
15 hours | Self-paced
learning
less
Topics covered:
Area and perimeter of
triangles, parallelograms,
trapeziums and rectangles,
Circumference and Area
of circles.
Students will learn:
• To classify triangles
and quadrilaterals
• To calculate the
perimeter and area of
various quadrilaterals
• To calculate the
circumference and area
of circle
• To use the above
facts to calculate the
perimeter and area of
compound figures
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Everyday Arithmetic
The course explains the concepts of equivalent fractions, simplifying fractions, mixed numbers and improper fractions. Then it explores decimals and percentages and how they relate to fractions. Once you've mastered the basics of fractions, decimals and percentages, you'll be able to apply them to different problems in everyday situations.
Prerequisites:
Arithmetic skills, Basic algebra
Duration:
20 hours | Self-paced
learning
more
Everyday Arithmetic
The course explains the
concepts of equivalent
fractions, simplifying
fractions, mixed numbers
and improper fractions.
Then it explores decimals
and percentages and how
they relate to fractions.
Once you've mastered the
basics of fractions, decimals
and percentages, you'll
be able to apply them
to different problems
in everyday situations.
Prerequisites:
Arithmetic
skills, Basic algebra
Duration:
20 hours | Self-paced
learning
less
Topics covered:
Fractions, Decimals, Percentages,
Conversion from one form
to the other, Word problems
Students will learn:
• What are fractions
- proper, improper and
mixed numbers?
• About equivalent
fractions with visual
demonstrations.
• To represent fractions
and mixed numbers on a
number
line.
• What are decimals
and how it relates to
fractions?
• To order fractions
and decimals
• The four operations
on fractions and decimals
• What are percentages
and how it relates to
fractions and
decimals?
• To compare fractions,
decimals and percentages
and to
convert one
form to the another.
• How it helps to
solve problems in everyday
situations.
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The Real Number
System
There are different sorts
of numbers, with different
properties.
In this course, you will
become fluent in recognising
and dealing with prime
numbers, irrational numbers,
fractions and decimals.
Prerequisites:
Basic knowledge of whole
numbers, Fractions &
Decimals, Integers
Duration:
15 hours | Self-paced
learning
more
The Real Number
System
There are different sorts
of numbers, with different
properties.
In this course, you will
become fluent in recognising
and dealing with prime
numbers, irrational numbers,
fractions and decimals.
Prerequisites:
Basic
knowledge of whole numbers,
Fractions & Decimals,
Integers
Duration:
15 hours | Self-paced
learning
less
Topics covered:
Integers, Rational and
Irrational numbers, Squares
and Square roots, Standard
form, Estimation and Approximation,
Significant figures, Use
of a scientific calculator.
Students will learn:
• That the real
numbers form an extension
of the rational numbers
• That real numbers
are manifested in real-life
situations
• How to compare
and contrast whole numbers,
integers, rational,
and irrational numbers
• How to use a calculator
to calculate complicated
sums with real
numbers
• That estimation
can be used to judge the
reasonableness of results
• How to round off
numbers in different ways,
to different degrees
of accuracy and for different
purposes in real life
• How to convert
numbers to scientific
notation or standard form
and vice versa
• How to solve problems
of standard form which
require the use
of calculator and without
a calculator
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Algebra I
Mathematics is sometimes
called the science of
patterns. In maths, economics,
science and art we sometimes
need to use algebra to
write down what patterns
we find and to help us
look for others. In this
course, you will learn
how to use algebra to
represent relationships
between different quantities
and solve problems.
Prerequisites:
Knowledge of whole numbers
and real numbers (fractions,
decimals, factors, multiples,
HCF, LCM)
Duration:
20 hours | Self-paced
learning
more
Algebra I
Mathematics is sometimes
called the science of
patterns. In maths, economics,
science and art we sometimes
need to use algebra to
write down what patterns
we find and to help us
look for others. In this
course, you will learn
how to use algebra to
represent relationships
between different quantities
and solve problems.
Prerequisites:
Knowledge of whole numbers
and real numbers (fractions,
decimals, factors, multiples,
HCF, LCM)
Duration:
20 hours | Self-paced
learning
less
Topics covered:
Algebraic symbols and
rules, Manipulate and
simplify algebraic expressions,
Evaluating expressions,
Algebraic fractions, Solving
linear equations, Simple
linear inequalities.
Students will learn:
• How mathematical
and real-life situations
can be represented
and analysed using algebraic
symbols and rules
• How to manipulate
and simplify algebraic
expressions
• That algebra is
a tool used to solve problems
in real life
• How to solve linear
equations by obtaining
equilibrium on both
sides
• That real-life
situations can be modeled
using equations
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Arithmetic Problems
Percentages are often
used in newspapers as
a quick way to summarise
information about politics,
science and money, to
name a few. In this course,
we will look at some of
the many ways that maths
can be used in real life.
Prerequisites:
Basic knowledge of real
numbers (fractions, decimals)
Basic algebra (algebraic
terms and expressions)
Duration:
10 hours | Self-paced
learning
more
Arithmetic Problems
Percentages are often
used in newspapers as
a quick way to summarise
information about politics,
science and money, to
name a few. In this course,
we will look at some of
the many ways that maths
can be used in real life.
Prerequisites:
Basic knowledge of real
numbers (fractions, decimals)
Basic algebra (algebraic
terms and expressions)
Duration:
10 hours | Self-paced
learning
less
Topics covered:
Introduction to Percentages,
Percentage increase and
decrease, Ratios, Average
Rate, Direct and Inverse
Proportion.
Students will learn:
• That mathematical
problems can be expressed
via symbolic representation.
• How to solve problems
involving the use of units
of mass, length,
time and money.
• How to solve problems
involving ratio and proportion.
• How to recognise
and use common measures
and rate.
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Arithmetic in
Daily Life
Some of the most useful
and interesting applications
of mathematics concern
the real world. They are
important in finance,
sales and tax. In this
course, you will learn
how arithmetic helps you
in these areas.
Prerequisites:
Basic knowledge of real
numbers, ratio, rate and
proportion.
Basic algebra (algebraic
terms and expressions)
Duration:
10 hours | Self-paced
learning
more
Arithmetic in
Daily Life
Some of the most useful
and interesting applications
of mathematics concern
the real world. They are
important in finance,
sales and tax. In this
course, you will learn
how arithmetic helps you
in these areas.
Prerequisites:
Basic knowledge of real
numbers, ratio, rate and
proportion.
Basic algebra (algebraic
terms and expressions)
Duration:
10 hours | Self-paced
learning
less
Topics covered:
Profit and Loss, Discount,
Commission, Simple and
Compound Interest, Hire
Purchase, Taxation, Money
Exchange.
Students will learn:
• That there are
a variety of strategies
which can be applied to
solve mathematical
and real-life problems.
• How to solve consumer
problems using arithmetic
operations.
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Mensuration II
The volume of a solid
object is how much space
it occupies. By the end
of this course, you will
learn the formulas to
work out the volume and
surface area of cuboids,
prisms, pyramids, cones
and spheres and apply
them to real world problems
and to find the volume
of compound solids.
Prerequisites:
Mensuration I
Duration:
15 hours | Self-paced
learning
more
Mensuration II
The volume of a solid
object is how much space
it occupies. By the end
of this course, you will
learn the formulas to
work out the volume and
surface area of cuboids,
prisms, pyramids, cones
and spheres and apply
them to real world problems
and to find the volume
of compound solids.
Prerequisites:
Mensuration I
Duration:
15 hours | Self-paced
learning
less
Topics covered:
Arc length and Area of
sectors, Volumes and Surface
areas of cube, cuboids,
prism, cylinder, cone,
sphere and pyramid.
Students will learn:
• To compare and
classify geometric figures.
• To calculate arc
length and area of a sector.
• To calculate and
solve problems involving
surface area and volume.
• To solve mathematical
and real life problems.
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Intermediate Algebra
In this course you will learn to expand algebraic expressions using identities and also to factorise algebraic expressions. You will note that expansion and factorisation are reverse processes of each other. You will also learn to manipulate and simplify algebraic fractions.
Prerequisites:
Basic Arithmetic
Duration:
20 hours | Self-paced
learning
more
Intermediate Algebra
In this course you will
learn to expand algebraic
expressions using identities
and also to factorise
algebraic expressions.
You will note that expansion
and factorisation are
reverse processes of each
other. You will also learn
to manipulate and simplify
algebraic fractions.
Prerequisites:
Basic Arithmetic
Duration:
20 hours | Self-paced
learning
less
Topics covered:
Expansion, Identities,
Factorisation by grouping,
Factorising quadratics,
Changing subject of a
formula, Algebraic fractions,
Equations involving algebraic
fractions.
Students will learn:
• Expansion and
factorisation of algebraic
expressions can
be represented
geometrically.
• Expansion and
factorisation are reverse
processes of each
other.
• The use of algebraic
identities helps to expedite
the solving
of numerical
problems.
• Manipulate and
simplify algebraic fractions.
• Manipulate to
change the subject of
a formula such that
equivalence
is maintained.
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Trigonometry I
Trigonometry is an ancient
part of mathematics -
dealing with triangles,
their sides and their
angles. Originally its
development was spurred
on by interest in astronomy
and the positions of stars.
It remains a vital part
of applied mathematics
and measurement to this
day!
Prerequisites:
Fractions, ratio and proportion
Simple Algebra (algebraic
expressions, solving linear
equations and powers)
Duration:
10 hours | Self-paced
learning
more
Trigonometry I
Trigonometry is an ancient
part of mathematics -
dealing with triangles,
their sides and their
angles. Originally its
development was spurred
on by interest in astronomy
and the positions of stars.
It remains a vital part
of applied mathematics
and measurement to this
day!
Prerequisites:
Fractions, ratio and proportion
Simple Algebra (algebraic
expressions, solving linear
equations and powers)
Duration:
10 hours | Self-paced
learning
less
Topics covered:
Pythagoras Theorem, Trigonometric
ratios for acute angles
for a right-angled triangle,
Angle of elevation, Angle
of depression.
Students will learn:
• How Pythagoras’
Theorem can be used to
solve a variety of mathematical
and real-life problems.
• What trigonometric
ratios are.
• How they can be
applied to measure distances
and angles in
real-life situations.
• How to find the
trigonometrical values
of sine, cosine and tangent
of an angle with the help
of a calculator.
• How to solve problems
involving trigonometrical
ratios in right-angled
triangles.
• How to solve problems
involving angle of elevation
and angle
of depression.
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Statistics I
Whenever large quantities
of information need to
be summarised we need
to use statistics. In
this course, we will look
at two principal ways
of doing this. One way
is the use of graphs and
charts - these help us
understand data quickly
in a pictorial form. The
second way is concerned
with a numerical summary
data using different kinds
of averages.
Prerequisites:
Simple Algebra (algebraic
expressions, solving linear
equations and powers)
Duration:
8 hours | Self-paced
learning
more
Statistics I
Whenever large quantities
of information need to
be summarised we need
to use statistics. In
this course, we will look
at two principal ways
of doing this. One way
is the use of graphs and
charts - these help us
understand data quickly
in a pictorial form. The
second way is concerned
with a numerical summary
data using different kinds
of averages.
Prerequisites:
Simple Algebra (algebraic
expressions, solving linear
equations and powers)
Duration:
8 hours | Self-paced
learning
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