Year 12

This 67 page booklet assists students studying Conic Sections at Year 12.

Topics covered in this booklet include: The Straight Line, The Parametric Form of a Straight Line, The Circle, The Parametric Form of a Circle, The Ellipse, The Parabola, The Hyperbola, The Equations of Tangents and Normals, The Intersection Between a Line and a Conic Section and Direction and Eccentricity.

This 67 page booklet assists students studying Linear Programming at Year 12.

Topics covered in this booklet include: The Straight Line, The Parametric Form of a Straight Line, The Circle, The Parametric Form of a Circle, The Ellipse, The Parabola, The Hyperbola, The Equations of Tangents and Normals, The Intersection Between a Line and a Conic Section and Direction and Eccentricity.This 67 page booklet assists students studying Conic Sections at Year 12. Topics covered in this booklet include: The Straight Line, The Parametric Form of a Straight Line, The Circle, The Parametric Form of a Circle, The Ellipse, The Parabola, The Hyperbola, The Equations of Tangents and Normals, The Intersection Between a Line and a Conic Section and Direction and Eccentricity.

This 64 page booklet assists students studying Trigonometry at Year 12.

Topics covered in this booklet include: Trigonometric Graphs, Finding a Particular Solution to a Trigonometric Equation, General Solutions of Trigonometric Equations, Modelling Practical Situations using Trigonometric Functions, Reciprocal Trigonometric Functions, Compound Trigonometric Functions, Double Angle Formulae, Trigonometric Equations expressed as a Quadratics, Sum and Product Formulae and Applications of Trigonometry.

This 70 page booklet assists students studying Critical Path Analysis at Year 12.

Topics covered in this booklet include: Precedence Tables, Network Diagrams, Dummy Activities, Critical Path Algorithm, Float Times, Scheduling and The Gantt Chart.

This 89 page booklet assists students studying Complex Numbers at Year 12.

Topics covered in this booklet include: Surds, Solving Quadratic Equations by Completing the Square, The Quadratic Formula, The Disrciminant and the Nature of the Roots, The Remainder and Factor Theorems, Solving Cubic Equations, Irrational Equations, Imaginary and Complex Numbers, Complex Roots of Polynomials - Quadratics and Cubics, Complex Numbers in Polar Form, Products and Quotients of Complex Numbers, De Moivre's Theorem, Complex Roots using De Moivre's Theorem and Loci in the Complex Plane.

This 112 page booklet assists students studying Differentiation at Year 12.

Topics covered in this booklet include: Limits, Identifying Features from Graphs, The Derived Function, Differentiating Power Functions, Polynomials, Composite Functions (The Chain Rule), Exponential Functions, Logarithm Functions, Trigonometric Functions, Products, Quotients, Mixed Differentiation Problems, Gradient of a Curve and Equation of a Tangent, Maximum and Minimum Points of a Graph, The Second Derivative, Graphing Derived Functions, Parametric Equations, Implicit Differentiation, Related Rates of Change and Applications of Differentiation.

This 100 page booklet assists students studying Integration at Year 12.

Topics covered in this booklet include: Integration of Polynomials, Exponential Functions, Trigonometric Functions, 1/x, Expressions such as (ax + b)/x, Rational Functions, Trigonometric Products, Integration by Substitution, Definite Integrals, Area Under a Curve, Rate of Change, Numerical Integration - Trapezium Rule, Simpson's Rule, General and Particular Solutions of Differential Equations, Second-Order Differential Equations, Differential Equations with Variables Separated and Differential Equations of the Form y' = ky,

This 74 page booklet assists students studying Time Series at Year 12.

Topics covered in this booklet include: Infoshare, Additive Versus Seasonal Trend, Time Series Using iNZight, Seasonal Effects - Additive or Multiplicative, Indexed Time Series, Deflating Time Series Data and Creating a New Time Series.

This 74 page booklet assists students studying Bivariate Data at Year 12.

Topics covered in this booklet include: Infoshare, Additive Versus Seasonal Trend, Time Series Using iNZight, Seasonal Effects - Additive or Multiplicative, Indexed Time Series, Deflating Time Series Data and Creating a New Time Series.

This 59 page booklet assists students studying Formal Inference at Year 12.

Topics covered in this booklet include: From a Sample to a Population, Sampling Variability, The Statistical Enquiry Cycle, The Statistical Question, Quartiles and Percentiles, Measures of Spread, Bootstrap Re-sampling, The Distribution of the Difference Between Two Samples Medians and Investigations in Context.

This 65 page booklet assists students studying Statistical Experiments at Year 12.

Topics covered in this booklet include: What is a Statistical Experiment, Randomised Statistical Experiments, Statistical Significance, Computer Simulation, Designing a Statistical Experiment (The Statistical Enquiry Cycle, The Plan, The Experiment) and The Statistical Report.

This 74 page booklet assists students studying Statistical Reports at Year 12.

Topics covered in this booklet include: Evaluating Statistical Reports, Asking Questions of Statistics, The Collection of Statistical Information, Observational Studies, Methods of Sampling, Survey Questions, Response Rate, Political Polls, Statistical Experiments, Margin of Error, Comparing Poll Results and The Report Commentary.

This 65 page booklet assists students studying Probability at Year 12.

Topics covered in this booklet include: Probability Concepts, Experimental and Theoretical Probability, Modelling Real-Life Situations, Combining Theoretical Problems, Tree Diagrams, Conditional Probability, Venn Diagrams, Multiple Selections, Two Way Tables and Likelihood Ratio.

This 74 page booklet assists students studying Probability Distributions at Year 12.

Topics covered in this booklet include: Modelling Real Life Situations, Types of Distributions, Discrete Probability Distributions, Binomial Probability Distribution, Poisson Probability Distribution, Continuous Probability Distribution, Uniform Probability Distribution, Triangular Probability Distribution, The Normal Probability Distribution, Inverse Normal, Continuity Corrections for a Normal Distribution, Combined Events for Poisson, Normal and Binomial Distributions and Fitting a Model to a Problem.

This 48 page booklet assists students studying Systems of Equations at Year 12.

Topics covered in this booklet include: 2 x 2 Simultaneous Equations, The Elimination Method for 2 x 2 Simultaneous Equations, The Substitution Method for 2 x 2 Simultaneous Equations, Solving Linear Simultaneous Equations by Calculator, Equations with Three Unknowns, 3 x 3 Simultaneous Equations, Consistency and Uniqueness of Solutions, Inconsistency of Simultaneous Equations in Three-dimensions, Uniqueness of the Solutions to Simultaneous Equations and Applications of Simultaneous Equations.

Comprehensive digital resources, that can be purchased as a bundle of FIVE, covering all key Year 12 mathematics topics, accessible anytime.