#### Lines & Linear Relations

Finding Midpoints on a cartesian plane

Finding a point given a point and a midpoint

The distance formula

Parallel lines and their gradients

Perpendicular lines and their gradients

#### Quadratics

Anatomy of a quadratic graph

Solving Quadratics 3 ways

Review of sketching quadratics two ways

Modelling and problem solving with quadratics

solving simultaneous equations using quadratic and linear graphs

#### Inverse Proportion

Direct vs inverse proportion

Direct vs inverse proportion

Equations of hyperbola and sketching

Finding equation of reciprocal function from sketch

#### Powers & Polynomials

Coming soon

#### Graphs of Relations

Equation of a circle sketching and finding coordinates

Equation of a circle sketching and finding coordinates

Sketching a circle on a cartesian plane

Equation of a circle finding intersection using simultaneous equations

#### Functions & Transformations

Relations Domain and Range

What's a function

Function notation

Graphing on calculator using restricted domains

Function Transformations intro

Function transformation afx

Function transformation f(x+a)

Functions Transformation fx+a

Functions transformations f(ax)

domain and range notation

#### Cosine & Sine Rules

Trig Ratios fast

Trig Ratios fast

The Sine Rule Fast

The sine rule ambiguous case

The cosine rule

Area of a triangle using trigonometry

True Bearings

Bearings and Trigonometry an example

How to Draw the Diagrams for Trig Applications Questions (Bearings and Elevation/Depression

#### Trigonometric Functions

Introduction to Radians

Converting Radians to Degrees and Degrees to Radians

Radians quick angles

Standard triangles

The Unit Circle

The Unit Circle The Tan Ratio

The Unit Circle and Symmetry

The unit circle CAST and why CAST works

Finding exact trig ratios involving negative angles

Finding exact values of trig ratios around the unit circle

The Unit Circle Finding exact values of negative trig ratios

The unit circle Boundary angles

The unit circle solving unknown angles

Solving Simple Trig Equations Worksheet (worksheet in Description)

The unit circle solving unknowns in trig equations

Pythagorean identity

Pythagorean identity rearrangement

Using Pythagorean Identities Part 1

Solving trig identity equations using quadratics

Solving trig identity equations using quadratics part 2

Sketching SinX and CosX

Sketching y = AsinX and AcosX

Sketching y = AsinX +D and AcosX + D

Sketching y = AsinBx + D or y = AcosBx +D

Sketching y = AsinB(x+C)+D

Finding the equation of a periodic function from a graph or sketch

Revision of radians and the unit circle

Solving and simplifying using trig identities

Solving Trig equations The Tricky 3 Quantum of Quadratics

Solving Trig equations The Tricky 3 Square or Die

Solving Trig equations The Tricky 3 Domain Domination

#### Counting & Probability

Pascal's Triangle and Selections

Binomial expansion using pascal's triangle

Factorials!

Combinations

The Language of Sets

Basic Set Theory

The inclusion exclusion principle for 2 and 3 sets

Theoretical Probability with sets

All Probabilities sum to 1

Venn Diagrams the complement

Experimental probability

simplified tree diagram

The Addition rule of probability

Probability Tables intro

Conditional Probability formula

Conditional Probability Do you watch the bachelorette

Conditional probability rearranging the formula

Conditional Probability and Tree Diagrams

Independent events intro and tests

Independent events 2

Addition and Multiplication principles

#### Exponential Functions

Index Law 1 – multiplication of indices

Index Law 2 – dividing indices

Index Law 3 – raising to the power of zero

Index Law 4 – Raising a power to another power

Index Law 5 – worked examples using the fifth index law

Index Law 6 – expanding brackets around a fraction raised to a power

Index law 7 Negative Indices – converting Negative indices into positive indices using fractions

Index Laws Fractional indices

Index Laws Negative bases

Index Laws simplifying by decomposing

Scientific notation Converting to scientific notation

Scientific Notation Convert scientific notation to decimal

Scientific notation Multiplying and dividing

Exponential Functions Basic shape and Translations

Exponential Functions Dilations

Exponential functions 2 Sketching

Exponential functions sketching part 2

Exponential functions 3 Finding equation from a sketch

Exponential Model and Applications

#### Arithmetic & Geometric Sequences

Sequence Notation

Recurrence Relations

Using a recurrence relation

Defining a sequence in terms of n

Applications of recurrence relations

Applications of recurrence relations non arithmetic

Using a calculator with recurrence relations

Arithmetic sequence formula

Rearranging the arithmetic sequence formula

Arithmetic sequences using simultaneous equations

Arithmetic sequences and series

Simultaneous equations using arithmetic series and sequences

Application of the arithmetic sequence

Simple Interest using arithmetic sequences

The Middle Term as the arithmetic mean in an arithmetic sequence

Introduction to the Sum of an arithmetic series

Finding the number of terms in an arithmetic sequence

Arithmetic series Finding the number of terms that sum to a given number

Application of arithmetic series

Geometric sequences and the recursive definition

Geometric Sequence formula

Geometric sequences finding the common ratio

Geometric Sequences finding the value of n

Geometric Sequences and simultaneous equations

Geometric Sequences Geometric mean

Compound interest as a geometric sequence

Geometric series formula proof and example

Geometric series find the value of n

Regular deposits as a geometric series

Geometric Series Sum to Infinity and Zeno's Paradox

Geometric series sum to infinity application

Geometric Series Sum to infinity writing recurring decimals as fractions

#### Introduction to Derivatives

Variable and constant rates of change

Average rates of change

Intro to instantaneous rates of change

The Gradient function

Differentiation from first principles

Differentiating polynomials by rule

Finding Stationary points

Nature of Stationary points

Optimisation when the function is unknown

Introduction to Kinematics

Finding the equation of a tangent

Finding the equation of a normal