Maths: Beginner to Advanced Level

• Introduction
• Whole Numbers
• Division by zero and one
• Adding in columns
• Subtracting in columns
• Multiplying in columns
• long division
• Number Factors
• Number Multiples
• Composite Numbers
• Prime Numbers and Prime Factors
• HCF of numbers
• LCM of numbers
• Exponents
• Representing numbers in exponential form
• Representing numbers in scientific notation
• Power of Zero Law
• Multiplication Law
• Division Law
• Power Law
• Finding Square Roots
• Finding Cube Roots
• Exponential laws four operations examples
• Integers
• Ordering and Comparing
• Addition and Subtraction
• Multiplication
• Division
• Multiple Operations
• Common Fractions
• Simplifying fractions, including mixed numbers
• Convert Mixed fractions to improper
• Adding and Subtracting including mixed numbers
• Multiplying and Dividing including mixed numbers
• Finding Square and Cube Roots
• Finding percentages of whole numbers
• Increase or decrease a number by a percentage
• Word problems
• Rate & Proportion
• Comparing quantities of the same kind (Ratio)
• Comparing quantities of different kinds (Rate)
• Sharing a giving ratio
• Increasing or decreasing a given ratio
• Financial Maths
• Profit and Loss
• Discount and VAT
• Simple Interest
• Hire Purchase
• Loans
• Exchange Rates
• Numeric and Geometric Patterns
• A common difference and the general rule
• A constant ratio including the general
• Patterns not involving a common difference or ratio
• Functions and Relationships
• Flow Diagrams
• Tables
• Formulae
• Equations
• Algebraic Expressions
• Writing Conventions
• Monomials, binomials, trinomials and polynomials
• Variables, constants, exponents and coefficients of algebraic expressions
• Identify like and unlike terms
• Add and subtract like terms
• Multiplication of integers and monomials with monomials, binomials and trinomials
• Divide monomials, binomials and trinomials by monomials
• Finding square roots and cube roots - Copy
• Finding the numerical value by substitution - Copy
• Algebraic Equations
• Set up equations to describe problem situations
• Solve by inspection
• Algebraic Equations (3 of 4) - Solve using algebraic methods
• Algebraic Equations (4 of 4) - Exponential
• Geometry of 2D Shapees
• Triangles
• Similarity
• Congruency
• Quadrilaterals and their properties
• Geometry of straight lines
• Supplementary, Complimentary, Vertically Opposite, Straight and right angles
• Transversal
• Parallel Lines
• Parallel Lines (Corresponding Angles)
• Parallel Lines (Alternate Angles)
• Parallel Lines (Co-interior Angles)
• Geometry of 3D objects
• Tetrahedron, Hexahedron (cube), Octahedron, Dodecahedron, Icosahedrons
• Vertices, faces and edges
• Nets
• Transformation Geometry
• Cartesian plane
• Reflection in the Y-axis and X-axis
• Translations
• Enlargement and Reductions
• Construction of Geometric Figures
• Bisecting lines
• Bisecting angles
• Perpendicular line at or from a given point
• Triangles
• Quadrilaterals
• 30, 45,and 60 degrees without using a protractor
• Theorem of Pythagoras
• Proving a triangle to be a right angle
• Proving right angle triangles
• Collect, Organise & Summarize Data
• Collect -Tally & Table & Group Data
• Organise - Stem & Leaf diagrams
• Summarize - Mean
• Summerize - Median
• Summerize -Mode
• Summerize - Range
• Represent - Bar and Double Bar Graph
• Represent - Histograms
• Represent - Broken Line Graph
• Probability - Terminology
• Probability - Relative Frequency
• Probability - Examples

What does the course include

• Includes 112 lectures and 15 hours of content.
• Learn about whole Numbers, exponents, integers, common Fractions, decimal Fractions, rate & proportion as well as financial maths
• Critically apply mathematics to real world situations and build a solid mathematical foundation.
• Gain confidence in your mathematical abilities for money managing and understanding your accounts.
• Suitable for anyone wanting to build a strong foundation in mathematics