Year 12
Mathematics Advanced (New South Wales)
MA-F2: Graphing Techniques
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Function Transformations intro
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Functions Transformation fx+a
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Function transformation f(x+a)
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Function transformation afx
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Functions transformations f(ax)
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Equations of hyperbola and sketching
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Finding equation of reciprocal function from sketch
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Sketching Hyperbolas and why there’s an asymptote
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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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Logarithmic functions Basic shape
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Logarithmic functions Sketching
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Finding equations of log functions
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Exponential and logarithmic modelling
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Absolute Value Functions
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Sketch Absolute Value Functions with a vertical shift
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Sketching an absolute value function worked example
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Reflecting Functions in the y axis using absolute value functions
MA-T3: Trigonometric Functions & Graphs
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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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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 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.
MA-C2: Differential Calculus
MA-C3: Applications of Differentiation
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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
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Equations of tangents and normals revisited
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Rates of change application
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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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Concave up and Concave down Part 1: 2 useful definitions
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Concave up and Concave Down Part 2 A more useful definition
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Concavity and the second derivative
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Points of Inflection and the 2nd derivative
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The 2nd Derivative test
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Sketching Functions with the second derivative and Points of Inflection
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Introduction to Kinematics
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Applications of Integration in motion questions
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Optimisation when the function is unknown
MA-C4: Integral Calculus
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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
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Integration the reverse chain rule
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Integration resulting in a logarithm
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Integrals of exponentials
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Integration of trig functions
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Integration by recognition updated
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Applications of Integration in motion questions
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The definite integral
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The definite integral signed area
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Area between two curves
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The area under a derivative function
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Trapezoidal Rule Fully explained
MA-M1: Modelling Financial Situations
M1.1: Modelling Investments & Loans
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TVM mode on Graphics calculator
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Compound interest Appreciation
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The Time Value of Money
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Home Loan Calculations with Graphics Calculator – Finding Repayments
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Home Loan Calculations with Graphics Calculator – Finding unknowns
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Compound interest different compounding periods
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Compound interest introduction
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Compound interest formula
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Borrowing money intro
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Home loans finding amount still owing
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Home loans finding the payment and the total interest paid
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Compound interest revision
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Geometric Series
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Geometric sequences
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Present and future value intro
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Present and future value problems
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Linking annuities to geometric series
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Finding the future value of an ordinary annuity
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Finding the value of an ordinary annuity using graphics calculator
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Present value of an ordinary annuity
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Future value of annuity due
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Present value of an annuity due
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Finding repayments using annuities
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Home loans finding the payment and the total interest paid
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Home loans finding amount still owing
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Calculating present value of a home loan
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Solving annuities using your classpad
M1.2: Arithmetic Sequences & Series
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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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Arithmetic Series Formula Where it comes from and how to use it
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Arithmetic Series resulting in a quadratic
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Arithmetic Series and Simultaneous equations
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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
M1.3: Geometric Sequences & 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
M1.4: Financial Applications of Sequences & Series
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Simple Interest using arithmetic sequences
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Compound interest revision
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Compound interest as a geometric sequence
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Regular deposits as a geometric series
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Linking annuities to geometric series
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Present and future value intro
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Finding the future value of an ordinary annuity
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Present value of an ordinary annuity
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Present and future value problems
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Home loans finding the payment and the total interest paid
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Home loans finding amount still owing
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Calculating present value of a home loan
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Finding repayments using annuities
MA-S2: Descriptive Statistics & Bivariate Data Analysis
S2.1: Data (grouped & ungrouped) & Summary Statistics
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Statistics – Types of Data
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Statistics column graph
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Frequency histogram class intervals
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Statistics Frequency Histogram
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Statistics Frequency Polygon
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Back to Back stem and Leaf plot
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Measures of central tendency Mean, Median & Mode
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Measures of spread Range and Interquartile range
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Five Number Summary
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preparing a boxplot
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Comparing boxplots
S2.2: Bivariate Data Analysis
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Scatterplots Displaying bivariate numerical data
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Using two way tables to investigate associations between categorical variables
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Introduction to Bivariate data and explanatory and response variables
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Interpreting Scatterplots: Association, Strength & Outliers
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Correlation Coefficient: Pearson’s r
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Calculating correlation coefficient Pearson’s r using Casio Scientific Calculator
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R Squared: Calculating and Interpreting The Coefficient of Determination
MA-S3: Random Variables
S3.1: Continuous Random Variables
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Scatterplots Displaying bivariate numerical data
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Using two way tables to investigate associations between categorical variables
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Introduction to Bivariate data and explanatory and response variables
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Interpreting Scatterplots: Association, Strength & Outliers
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Correlation Coefficient: Pearson’s r
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Calculating correlation coefficient Pearson’s r using Casio Scientific Calculator
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R Squared: Calculating and Interpreting The Coefficient of Determination
