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Numbers and Pre-Algebra
Geometry
Algebra
Statistics
Probability
Measurement
Trigonometry
Financial Maths
Introduction to Pre-Calculus
Calculus
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Numbers and Pre-Algebra
Whole Numbers
Place Value
Ascending and Descending Order
Relationships in Numbers
Rounding off, Estimation & Approximation
Order of Operations
Grouping Symbols
Index Notation
Addition and Subtraction
Multiplication and Division
Special Numbers
Divisibility Rules
Prime and Composite Numbers
Multiples and Factors
Prime Factorisation using Factor Tree
Finding HCF and LCM by Prime Factorisation
Square and Cube Numbers
Fractions
Naming Fractions
Understanding Fractions
Types of Fractions
Addition of Fractions
Subtraction of Fractions with Like Denominators
Subtraction of Fractions with Different Denominators
Multiplication of Fractions
Division of Fractions
Surds
Addition and Subtraction of Surds
Multiplication and Division of Surds
Binomial Products with Surds
Rationalisation of Surds
Geometry
Introduction to Geometry
Types of Lines
Introduction to Angles
Types of angles
Measuring an angle
Drawing angles using a protractor
Algebra
Introduction to Algebra
Algebraic Expressions
Grouping symbols
Index Notation & Index Laws
Law of Negative Indices
Law of Fractional Indices
Simultaneous Equations
Examples using Simultaneous Equations
Coordinate Geometry
Midpoint of an Interval
Slope of a line
Finding the Slope of a Line
Slope Intercept Form of a Straight Line
Examples of Slope Intercept Form
Point Gradient Formula
Two Point Formula
Examples of Two Point Formula
Intercept Form of a Straight Line
Equations of Parallel Lines
Equations of Perpendicular Lines
Examples of Equations of Perpendicular Lines
Intersection of Two Lines
Line through point of intersection
Division of an interval in a given ratio
Examples of Division of an Interval
Perpendicular distance of a point from a line
Coordinate Geometry Summary
Angle between two lines
Statistics
Introduction to Statistics
Types of Graphs
Line Graphs
Column Graphs
Bar Graphs
Divided Bar Graphs
Sector Graphs or Pie Charts
Scatter graphs
Picture graphs
Step Graphs
Conversion Graphs
Travel Graphs
Probability
Introduction to Probability
Probability of Simple Events
Complementary Events
Measurement
Length
Units of Length and Conversions
Rounding off the measurements
Measurement of Time
Addition and Subtraction of Time I
Addition and Subtraction of Time II
24 hour time
Time conversions
The Calendar
Perimeter
Examples of Perimeter
Solving Perimeter Problems
Circumference of a Circle
Perimeter of a Sector
Examples of Perimeter of a Sector
Area of Shapes
Area of a Square
Area of a Rectangle
Area of Square and Rectangle
Area of a Triangle
Examples of Area of Triangle
Area of a Circle
Area of a Sector
Examples of Area of a Sector
Area of a Sector – Extension Problems
Area of a parallelogram
Area of a Trapezium (or Trapezoid)
Area of a Kite
Area of a Rhombus
Pythagoras Theorem
Examples of Pythagoras Theorem
Converse of Pythagoras Theorem
Finding a short side
Advanced problems using Pythagoras Theorem
Surface Area of Solids
Surface area of a Cube
Surface Area of Rectangular Prism
Surface Area of a Triangular Prism
Examples of surface area of prisms
Surface Area of a Cylinder
Surface Area of a Pyramid
Surface Area of a Cone
Surface Area of a Sphere
Volume of Solids
Volume of a Cube
Volume of a Rectangular Prism
Volume of a Triangular Prism
Volume of a Cylinder
Volume of a Pyramid
Volume of a Cone
Volume of a Sphere
Trigonometry
Trigonometric Ratios
Angle Measurement
Calculating angle sizes
Finding unknown sides and angles
Angle of Elevation
Angle of Depression
Compass Bearings
Problems in Bearings
Sine Rule
Cosine Rule
Exact Values of Trigonometric Ratios
Trigonometric Relationships
Examples of Trigonometric Relationships
Trigonometric Ratios in Quadrants
Trigonometric Values in Quadrants
Finding Angles given Trigonometric Values
Financial Maths
Salaries and Wages
Examples of salary calculations
Examples of Wage calculations
Overtime Earnings
Piecework Earnings
Commissions and Royalties Earnings
Bonuses, Allowances and Holiday Loading
Gross and Net Pay
Introduction to Interest
Simple Interest
Compound Interest by Calculation
Compound Interest by Formula
Annuity
Loan repayments
Pre-Calculus
Functions
Examples of Functions
Domain and Range
Examples of Domain and Range
Characteristics of Functions
Introduction to Graphing Functions
Linear Functions
Quadratic Functions
Cubic Functions
Absolute Functions
Circles and semi-circle functions
Examples of Circle and Semi-circle functions
Hyperbola
Exponential and logarithmic functions
Calculus
Differentiation
Geometrical Interpretation of Differentiation
First Principles of Derivatives
More examples of derivatives
Finding Derivatives using Formula
Examples of Differentiation
Tangents and Normal to a Curve
Fractional Indices
Chain Rule
Angle between two curves
Increasing and Decreasing Curves
Examples of Increasing and Decreasing Curves
Stationary and Turning Points
Examples of Stationary Points
Finding Maxima and Minima of a Function
Examples of finding Maxima and Minima
Concavity of a Curve
Examples of Concavity of a Curve
Nature of Stationary Points
Curve Sketching
Sketching Curves with Asymptotes – Example 1
Sketching Curves with Asymptotes – Example 2
Sketching Curves with Asymptotes – Example 3
Curve Sketching with Asymptotes – Example 4
Sketching the Curve of a Polynomial Function
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