Unit 1 & 2
Mathematical Methods (Victoria)
Functions & Graphs

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

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

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

Direct vs inverse proportion

Equations of hyperbola and sketching

Finding equation of reciprocal function from sketch

Equation of a circle sketching and finding coordinates

Sketching a circle on a cartesian plane

Equation of a circle finding intersection using simultaneous equations

Finding a linear factor of a polynomial
Probability & Counting Methods

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 & Logarithmic 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

Log laws as fast as possible

Logs 1 Intro to Logarithms

Logs 2 Log Law 1

Logs 3 Log Law 2

Logs 4 Log Law 3

Logs 5 Log Law 4

Logs 6 Log Law 5

Logs 7 Log Law 6

Logs 8 solving exponentials

Solving Indicial equations using logarithms

Logs 9 Solving logarithmic equations

Solving Log equations examples

Solving equations involving natural log

Solving logarithmic equations with an unknown power

Solving logarithmic equations with an unknown base

Logs 10 Solving logarithmic equations part 2

Logarithms 12 Simplifying Log equations

Logarithmic functions Basic shape

Logarithmic functions Sketching

Finding equations of log functions

Logarithmic functions 3 Find equation from a sketch

Logarithmic Functions 4 Regression analysis

Exponential and logarithmic modelling

Solving Indicial equations

Harder Indicial Equations

Indicial equations super hard quadratic action

Indicial equations The hardest one
Circular 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
Differentiation & Antidifferentiation of Polynomials

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

Finding the equation of a tangent

Finding the equation of a normal

Equations of tangents and normals revisited

Introduction to Kinematics

Optimisation when the function is unknown

Motion in a straight line An application of rates

Motion in a straight line acceleration recap

Rates of change application

Intro to Integration and integrating polynomials

Integration a little bit of theory

Integration finding the c value