Lessons

#### Lines and Linear Relationships

- Point-Gradient Formula
- Two-Point Formula
- Gradient from Rise and Run
- Gradient from two Points
- Parallel Lines
- Perpendicular Lines
- Identifying Parallen Lines
- Application of Parallel Lines
- Perpendicular Bisector
- Parallel Lines
- Perpendicular Lines
- Distance Between Two Points
- Midpoint
- Finding Unknown from Distance Between Two Points
- General Form and Gradient-Intercept Form
- Two Point Formula
- Finding the Equation from the Graphs
- Sketching the Graphs using Gradients
- Sketching the Graphs using X- and Y-Intercepts

#### Quadratic Graphs

- Transformations
- Vertex and Intercepts
- Coefficients
- Finding the Vertex using Completing the Square
- Finding Quadratic Equations
- Axis of Symmetry and Vertex
- Understanding Quadratic Inequalities
- Solving Quadratic Inequalities
- Ranges
- Finding y given x
- Substituting Points
- Finding x given y
- Applications of Quadratic Functions
- Finding Quadratics using Intercepts
- Finding Quadratics for Touching x-axis
- Finding Quadratics using Axes of Symmetry
- Finding Quadratics using Coefficients
- Finding Quadratics using Vertices
- Axes Intercepts

#### Circular Measure

- Radian Measurement
- Exact Ratios with Radian Measurement
- Angles of Any Magnitude
- Trigonometric Properties
- Angles Between Quadrants
- Basic Trigonometric Equations
- Quadratic Trigonometric Equations
- Miscellaneous Trigonometric Equations
- Length of Arc
- Area of a Sector
- Composite Areas
- Area of Minor Segment
- Radian vs Degree

#### Counting Techniques

- Counting Techniques with Repetitions
- Counting Techniques without Repetitions
- Definition of Factorial
- Arrangement
- Arrangements in a Round Table
- Removing Duplicates
- Definition
- Arrangements
- Arrangements in a Round Table
- Unknown Number of Arrangements
- Removing Duplicates
- Definition
- Selections
- Majority Decision
- Arrangements
- Probability

#### Logarithmic Functions

- Definition of Logarithms
- Addition
- Subtraction
- Indices
- Zero Value
- Unity
- Changing the Base
- Equations involving Logarithms
- Simplifying Logarithms in base 10
- Finding Exponents using Logarithms in base 10
- Equations involving Logarithms in base 10
- Interchangeable Logarithmic Forms
- Simplifying involving any Bases
- Equivalent Natural Logarithms
- Equations involving Natural Logarithms

#### Derivatives

- First Principles
- Definition of Rates of Change
- Average Rates of Change
- Instantaneous Rates of Change
- Differentiation of Constant Functions
- Differentiation of Linear Functions
- Methods of Differentiation
- Differentiation of Rational Functions
- Differentiation of Rational Powers
- Differentiation of Polynomial Functions
- Differentiation of a Function in Terms of x

#### Circle Geometry

- Arcs, Angles and Chords
- Angle at the Circumference
- Chords and Centres
- Equidistant from the Centres
- Cut Internally and Externally
- Angles in the Same Segment
- Angle in a Semi-Circle
- Opposite Angles of a Cyclic Quadrilateral
- Exterior Angle of a Cyclic Quadrilateral
- Tangent to a Circle
- Alternate Segment
- Two Tangents to a Circle
- Secant from an External Point

#### Matrix Operations

- Single Row by Single Column
- Matrix Definition
- Matrix Equality
- Matrix Addition
- Matrix Subtraction
- Scalar Multiples of Matrices
- Zero or Null Matrix
- Negative Matrix
- Simple Matrix Equations
- Single Row by Multiple Columns
- Multiple Rows by Multiple Columns
- Commutative Law
- Identity Matrix
- Power of a Matrix
- Finding a Matrix Inverse
- Determinant of a Matrix
- Inverse Matrix using Determinant