Unit 1 & 2
Mathematical Methods (Victoria)
Functions & Graphs
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Finding Midpoints on a cartesian plane
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Finding a point given a point and a midpoint
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The distance formula
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Parallel lines and their gradients
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Perpendicular lines and their gradients
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Relations Domain and Range
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What’s a function
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Function notation
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Graphing on calculator using restricted domains
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Function Transformations intro
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Function transformation afx
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Function transformation f(x+a)
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Functions Transformation fx+a
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Functions transformations f(ax)
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domain and range notation
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Anatomy of a quadratic graph
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Solving Quadratics 3 ways
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Review of sketching quadratics two ways
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Modelling and problem solving with quadratics
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solving simultaneous equations using quadratic and linear graphs
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Direct vs inverse proportion
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Equations of hyperbola and sketching
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Finding equation of reciprocal function from sketch
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Equation of a circle sketching and finding coordinates
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Sketching a circle on a cartesian plane
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Equation of a circle finding intersection using simultaneous equations
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Finding a linear factor of a polynomial
Probability & Counting Methods
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Pascal’s Triangle and Selections
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Binomial expansion using pascal’s triangle
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Factorials!
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Combinations
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The Language of Sets
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Basic Set Theory
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The inclusion exclusion principle for 2 and 3 sets
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Theoretical Probability with sets
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All Probabilities sum to 1
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Venn Diagrams the complement
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Experimental probability
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simplified tree diagram
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The Addition rule of probability
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Probability Tables intro
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Conditional Probability formula
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Conditional Probability Do you watch the bachelorette
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Conditional probability rearranging the formula
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Conditional Probability and Tree Diagrams
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Independent events intro and tests
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Independent events 2
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Addition and Multiplication principles
Exponential & Logarithmic Functions
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Index Law 1 – multiplication of indices
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Index Law 2 – dividing indices
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Index Law 3 – raising to the power of zero
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Index Law 4 – Raising a power to another power
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Index Law 5 – worked examples using the fifth index law
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Index Law 6 – expanding brackets around a fraction raised to a power
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Index law 7 Negative Indices – converting Negative indices into positive indices using fractions
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Index Laws Fractional indices
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Index Laws Negative bases
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Index Laws simplifying by decomposing
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Scientific notation Converting to scientific notation
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Scientific Notation Convert scientific notation to decimal
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Scientific notation Multiplying and dividing
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Exponential Functions Basic shape and Translations
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Exponential Functions Dilations
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Exponential functions 2 Sketching
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Exponential functions sketching part 2
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Exponential functions 3 Finding equation from a sketch
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Exponential Model and Applications
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Log laws as fast as possible
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Logs 1 Intro to Logarithms
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Logs 2 Log Law 1
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Logs 3 Log Law 2
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Logs 4 Log Law 3
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Logs 5 Log Law 4
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Logs 6 Log Law 5
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Logs 7 Log Law 6
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Logs 8 solving exponentials
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Solving Indicial equations using logarithms
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Logs 9 Solving logarithmic equations
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Solving Log equations examples
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Solving equations involving natural log
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Solving logarithmic equations with an unknown power
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Solving logarithmic equations with an unknown base
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Logs 10 Solving logarithmic equations part 2
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Logarithms 12 Simplifying Log equations
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Logarithmic functions Basic shape
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Logarithmic functions Sketching
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Finding equations of log functions
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Logarithmic functions 3 Find equation from a sketch
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Logarithmic Functions 4 Regression analysis
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Exponential and logarithmic modelling
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Solving Indicial equations
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Harder Indicial Equations
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Indicial equations super hard quadratic action
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Indicial equations The hardest one
Circular Functions
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Introduction to Radians
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Converting Radians to Degrees and Degrees to Radians
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Radians quick angles
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Standard triangles
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The Unit Circle
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The Unit Circle The Tan Ratio
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The Unit Circle and Symmetry
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The unit circle CAST and why CAST works
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Finding exact trig ratios involving negative angles
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Finding exact values of trig ratios around the unit circle
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The Unit Circle Finding exact values of negative trig ratios
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The unit circle Boundary angles
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The unit circle solving unknown angles
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Solving Simple Trig Equations Worksheet (worksheet in Description)
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The unit circle solving unknowns in trig equations
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Pythagorean identity
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Pythagorean identity rearrangement
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Using Pythagorean Identities Part 1
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Solving trig identity equations using quadratics
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Solving trig identity equations using quadratics part 2
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Sketching SinX and CosX
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Sketching y = AsinX and AcosX
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Sketching y = AsinX +D and AcosX + D
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Sketching y = AsinBx + D or y = AcosBx +D
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Sketching y = AsinB(x+C)+D
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Finding the equation of a periodic function from a graph or sketch
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Revision of radians and the unit circle
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Solving and simplifying using trig identities
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Solving Trig equations The Tricky 3 Quantum of Quadratics
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Solving Trig equations The Tricky 3 Square or Die
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Solving Trig equations The Tricky 3 Domain Domination
Differentiation & Antidifferentiation of Polynomials
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Variable and constant rates of change
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Average rates of change
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Intro to instantaneous rates of change
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The Gradient function
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Differentiation from first principles
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Differentiating polynomials by rule
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Finding Stationary points
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Nature of Stationary points
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Finding the equation of a tangent
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Finding the equation of a normal
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Equations of tangents and normals revisited
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Introduction to Kinematics
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Optimisation when the function is unknown
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Motion in a straight line An application of rates
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Motion in a straight line acceleration recap
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Rates of change application
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Intro to Integration and integrating polynomials
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Integration a little bit of theory
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Integration finding the c value