MA-F2 Graphing Techniques
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Function Transformations intro
Functions Transformation fx+a
Function transformation f(x+a)
Function transformation afx
Functions transformations f(ax)
Equations of hyperbola and sketching
Finding equation of reciprocal function from sketch
Sketching Hyperbolas and why there's an asymptote
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
Logarithmic functions Basic shape
Logarithmic functions Sketching
Finding equations of log functions
Exponential and logarithmic modelling
Absolute Value Functions
Sketch Absolute Value Functions with a vertical shift
Sketching an absolute value function worked example
Reflecting Functions in the y axis using absolute value functions
MA-T3 Trigonometric Functions & Graphs
The unit circle solving unknown angles
Solving Simple Trig Equations Worksheet (worksheet in Description)
The unit circle solving unknowns in trig equations
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 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
Sketching f(x) = tan(x) and why it looks like that.
MA-C2 Differential Calculus
Derivatives of Exponential, Logarithmic and Trigonmetric functions
The chain rule revisited
The Product Rule Revisited
The quotient rule
MA-C3 Applications of Differentiation
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
Equations of tangents and normals revisited
Rates of change application
Motion in a straight line An application of rates
Motion in a straight line acceleration recap
Concave up and Concave down Part 1: 2 useful definitions
Concave up and Concave Down Part 2 A more useful definition
Concavity and the second derivative
Points of Inflection and the 2nd derivative
The 2nd Derivative test
Sketching Functions with the second derivative and Points of Inflection
Introduction to Kinematics
Applications of Integration in motion questions
Optimisation when the function is unknown
MA-C4 Integral Calculus
Intro to Integration and integrating polynomials
Integration a little bit of theory
Integration finding the c value
Integration the reverse chain rule
Integration resulting in a logarithm
Integrals of exponentials
Integration of trig functions
Integration by recognition updated
Applications of Integration in motion questions
The definite integral
The definite integral signed area
Area between two curves
The area under a derivative function
Trapezoidal Rule Fully explained
MA-M1 Modelling Financial Situations
– M1.1:Modelling Investments & Loans
TVM mode on Graphics calculator
Compound interest Appreciation
The Time Value of Money
Home Loan Calculations with Graphics Calculator – Finding Repayments
Home Loan Calculations with Graphics Calculator – Finding unknowns
Compound interest different compounding periods
Compound interest introduction
Compound interest formula
Borrowing money intro
Home loans finding amount still owing
Home loans finding the payment and the total interest paid
Compound interest revision
Geometric Series
Geometric sequences
Present and future value intro
Present and future value problems
Linking annuities to geometric series
Finding the future value of an ordinary annuity
Finding the value of an ordinary annuity using graphics calculator
Present value of an ordinary annuity
Future value of annuity due
Present value of an annuity due
Finding repayments using annuities
Home loans finding the payment and the total interest paid
Home loans finding amount still owing
Calculating present value of a home loan
Solving annuities using your classpad
– M1.2 Arithmetic Sequences & Series
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
Arithmetic Series Formula Where it comes from and how to use it
Arithmetic Series resulting in a quadratic
Arithmetic Series and Simultaneous equations
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
– M1.3 Geometric Sequences & 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
– M1.4 Financial Applications of Sequences & Series
Simple Interest using arithmetic sequences
Compound interest revision
Compound interest as a geometric sequence
Regular deposits as a geometric series
Linking annuities to geometric series
Present and future value intro
Finding the future value of an ordinary annuity
Present value of an ordinary annuity
Present and future value problems
Home loans finding the payment and the total interest paid
Home loans finding amount still owing
Calculating present value of a home loan
Finding repayments using annuities
MA-S2 Descriptive Statistics & Bivariate Data Analysis
-S2.1 Data (grouped & ungrouped) & Summary Statistics
Statistics – Types of Data
Statistics column graph
Frequency histogram class intervals
Statistics Frequency Histogram
Statistics Frequency Polygon
Back to Back stem and Leaf plot
Measures of central tendency Mean, Median & Mode
Measures of spread Range and Interquartile range
Five Number Summary
preparing a boxplot
Comparing boxplots
S2.2 Bivariate Data Analysis
Scatterplots Displaying bivariate numerical data
Using two way tables to investigate associations between categorical variables
Introduction to Bivariate data and explanatory and response variables
Interpreting Scatterplots: Association, Strength & Outliers
Correlation Coefficient: Pearson's r
Calculating correlation coefficient Pearson's r using Casio Scientific Calculator
R Squared: Calculating and Interpreting The Coefficient of Determination
MA-S3 Random Variables
– S3.1 Continuous Random Variables
Estimating probability of a continuous random variable using data
The probability Density Function
Mathematical proof that you do not exist
Calculating probability using a probability density function
Proving a function is a probability density function
unknowns in probability density functions
Unbounded Probability density functions
The mean of a continuous random variable
The Cumulative Probability Distribution Function
Calculating variance and standard deviation of a continuous random variable
Calculating percentiles from a probability density function
– S3.2 The Normal Distribution
The normal distribution Introduction
Determining normal probabilities on the casio fx cg50AU
The Inverse Normal Distribution on the Casio FX CG50AU
A tricky normal distribution question
The Normal Approximation to the binomial distribution
Using z scores to standardise and compare values
