Math | Was bored | M(ath)+me

Senior One
Midpoints ✔
Gradients ✔
y = mx + b ✔
Equation of a line ✔
Intersecting lines ✔

Algebraic Manipulation ✔
Function Notation ✔
Linear Inequalities ✔
Quadratic Inequalities ✔
Cancelling algebraic fractions ✔
Adding algebraic fractions ✔
Multiplying algebraic fractions ✔
Solving equations with fractions ✔

Factorising quadtratics ✔
Solving quadtratics ✔
Quadratic formula ✔
Complete the square ✔
Intersecting lines and curves ✔

Equations of circles ✔
Circle geometry ✔
Sketching graphs ✔
Square root hyperbolic graphs ✔
Quadtratic Graphs ✔
Sketching Polynomials ✔

Factor theorem ✔
Dividing polynomials ✔
Remainder theorem ✔

Indices ✔
Surds ✔

Types of sequences ✔
Arithmetic series ✔
Binomial expansion ✔

Gradient of a tangent ✔
Differentiating polynomials ✔
Tangents and normals ✔
Stationary points ✔
Applications ✔

Introduction to integration ✔
Particular solutions ✔
Area under a curve ✔
Area between 2 lines ✔

Senior Two
Equations of circles ✔
Circle geometry ✔
Transforming graphs ✔
Sketching polynomials ✔

Types of sequences ✔
Arithmetic series ✔
Geometric series ✔
Binomial expansion ✔

Area around the y-axis ✔
Trapezium rule (Integration) ✔

The sine rule ✔
The cosine rule ✔
Sine and cosine graphs ✔
Tangent graphs ✔
Transforming trig graphs ✔

Radians, arcs, areas ✔
Special triangles ✔
Trig equations ✔

Exponential Graphs ✔
Rules of logs ✔
Log equations ✔

Senior Three
Exponential function ✔
The natural log ✔
Graphs ✔
Growth and decay ✔

Functions ✔
Composition ✔
Modulus function ✔

Inverse trig functions ✔
Reciprocal trig functions ✔
Addition formulae
R-alpha Method
Trig review

Differentiating Exp x and Ln x ✔
Chain rule ✔
Product rule ✔
Quotient rule ✔
Differentiating trig functions ✔
Rates of change ✔

Integration by inspection ✔
Exponential and ln x ✔
By substitution ✔
Integrating sine and cosine ✔
By parts ✔
Solids of revolution ✔

Change of sign ✔
Iteration ✔
Simpson's rule ✔
Newton Raphson ✔
Senior Four
Partial fractions ✔
Simplifying fractions ✔
Quadtratic factors ✔
Improper fractions ✔
Binomial expansion 2 ✔
Expanding binomial fractions ✔

Vectors introduction ✔
Position vector ✔
Three dimensions
Scalar products
Vector equation of a line
Intersecting lines
Angles between lines
Cartesian equation of a line
Equation of a plane
Further plane problems

Parametric functions
Circles and ellipses

Differentiating parametric functions
Implicit differentiation

Fractions
Partial fractions
Trig functions
Harder substitution
By parts twice ✔
Integration review

Differential equations
Particular solutions

THE END..for now