Year 11
Mathematical Methods (Australian Curriculum)
Lines & Linear Relations
Quadratics
Inverse Proportion
Powers & Polynomials (Coming Soon)
Coming Soon
Graphs of Relations
Functions & Transformations
Cosine & Sine Rules
Trigonometric 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
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Sketching f(x) = tan(x) and why it looks like that.
Counting & Probability
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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 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
Arithmetic & Geometric Sequences
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Sequence Notation
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Recurrence Relations
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Using a recurrence relation
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Defining a sequence in terms of n
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Applications of recurrence relations
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Applications of recurrence relations non arithmetic
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Using a calculator with recurrence relations
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Arithmetic sequence formula
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Rearranging the arithmetic sequence formula
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Arithmetic sequences using simultaneous equations
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Arithmetic sequences and series
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Simultaneous equations using arithmetic series and sequences
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Application of the arithmetic sequence
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Simple Interest using arithmetic sequences
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The Middle Term as the arithmetic mean in an arithmetic sequence
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Introduction to the Sum of an arithmetic series
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Finding the number of terms in an arithmetic sequence
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Arithmetic series Finding the number of terms that sum to a given number
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Application of arithmetic series
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Geometric sequences and the recursive definition
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Geometric Sequence formula
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Geometric sequences finding the common ratio
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Geometric Sequences finding the value of n
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Geometric Sequences and simultaneous equations
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Geometric Sequences Geometric mean
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Compound interest as a geometric sequence
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Geometric series formula proof and example
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Geometric series find the value of n
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Regular deposits as a geometric series
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Geometric Series Sum to Infinity and Zeno’s Paradox
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Geometric series sum to infinity application
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Geometric Series Sum to infinity writing recurring decimals as fractions
Introduction to Derivatives
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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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Optimisation when the function is unknown
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Introduction to Kinematics
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Finding the equation of a tangent
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Finding the equation of a normal