Stage 1 Essential Mathematics
SACE Stage 1 Essential Mathematics – Calculations, Time and Ratio
1.1 Calculations1.2 Time and Rates1.3 Ratio and Scale
SACE Stage 1 Essential Mathematics – Earning and Spending
2.1 Earning2.2 Spending2.3 Budgeting
SACE Stage 1 Essential Mathematics – Geometry
3.1 Shapes3.2 Angle Geometry3.3 Geometry and Construction
SACE Stage 1 Essential Mathematics – Data in Context
4.1 Classifying Data4.2 Reading and Interpreting Graphs4.3 Drawing Graphs4.4 Summarising and Interpreting Data4.5 Comparing Data Sets
SACE Stage 1 Essential Mathematics – Measurement
5.1 Linear Measure5.2 Area Measure5.3 Mass5.4 Volume and Capacity5.5 Power and Energy
SACE Stage 1 Essential Mathematics – Investing
6.1 simple Interest6.2 Compound Interest6.3 Investing for Interest
Stage 1 General Mathematics
SACE Stage 1 General Mathematics – Investing and Borrowing
1.1 Investing for Interest1.2 Investing for Shares1.3 Return on Investment1.4 Costs of Borrowing
SACE Stage 1 General Mathematics – Measurement
2.1 Application of Measuring Devices and Units of Measurement2.2 Perimeter and Area of Plane Shapes2.3 Volume and Surface area of…
SACE Stage 1 General Mathematics – Statistical Investigation
3.1 The Statistical Investigation Process3.2 Sampling and Collecting Data3.3 Classifying and Organising Data3.4 The Shape, Location and Spread of Distribution…
SACE Stage 1 General Mathematics – Applications of Trigonometry
4.1 Similarity4.2 Right Triangle Geometry4.3 Area of Triangles4.4 Solving Problems with Non-Right Triangles
SACE Stage 1 General Mathematics – Linear and Exponential Functions and Graphs
5.1 Linear Functions and Graphs5.2 Exponential Functions and Graphs
SACE Stage 1 General Mathematics – Matrices and Networks
6.1 Matrix Arithmetic and Costing Applications6.2 Networks
Stage 1 Mathematics
SACE Stage 1 Mathematics – Functions, Graphs and Polynomials
1.1 Lines and Linear Relationships1.2 Inverse Proportion1.3 Relations1.4 Functions1.5 Quadratic Relationships1.6 Cubic and quartic Polynomials
SACE Stage 1 Mathematics – Trigonometry, Counting and Statistics
2.1 Cosine and sine Rules2.2 Circular Measure and Radian Measure2.3 Trigonometric functions2.4 Counting2.5 Discrete and continuous Random Data2.6 Samples and…
SACE Stage 1 Mathematics – Differential Calculus, Growth and Decay
3.1 Indices and Index laws3.2 Exponential functions3.3 Logarithmic Functions3.4 Rate of Change3.5 The Concept of a Derivative3.6 Computations of Derivatives3.7…
SACE Stage 1 Mathematics – Geometry, Sequences and Series
4.1 Arithmetic Sequences and Series4.2 Geometric Sequences and Series4.3 Circle Properties4.4 The Nature of Proof
SACE Stage 1 Mathematics – Vectors in the Plane and Further Trigonometry
5.1 Vector Operations5.2 Component and Unit Vector Forms5.3 Projections5.4 Geometric Proofs using Vectors5.5 Further Trigonometric Functions5.6 Trigonometric Identities
SACE Stage 1 Mathematics – Matrices, Real and Complex Numbers
6.1 Matrix Arithmetic6.2 Transformations in the Plane6.3 The Number Line6.4 Introduction to Mathematical Induction6.5 complex Numbers6.6 The complex (Argand) Plane…
Stage 2 Essential Mathematics
SACE Stage 2 Essential Mathematics – Scales, Plans and Models
1.1 Geometry1.2 Scale Diagrams
SACE Stage 2 Essential Mathematics – Measurement
2.1 Linear Measure2.2 Area Measure2.3 Mass, volume and Capacity
SACE Stage 2 Essential Mathematics – Business Applications
3.1 Planning a business Premises3.2 Costing Calculations3.3 Business Structures and Taxation
SACE Stage 2 Essential Mathematics – Statistics
4.1 Sampling from Populations4.2 Analysiis and Representation of Sets od Data4.3 Linear Correlation
SACE Stage 2 Essential Mathematics – Investments and Loans
5.1 Lump-Sum Investments5.2 Annuity Investments5.3 Loan Annuities
Stage 2 General Mathematics
SACE Stage 2 General Mathematics – Modelling with Linear Relationship
1.1 Simultaneous Linear Equations
1.2 Linear Programming
SACE Stage 2 General Mathematics – Modelling with Matrices
2.1 Application of Matrices to Network Problems
2.2 Application of Matrices to Transition Problems
SACE Stage 2 General Mathematics – Statistical Models
3.1 Bivariate Statistics
3.2 The Normal Distribution
SACE Stage 2 General Mathematics – Financial Models
4.1 Models for Saving
4.2 Models for Borrowing
SACE Stage 2 General Mathematics – Discrete Models
5.1 Critical Path Analysis
5.2 Assignment Problems
Stage 2 Mathematical Methods
SACE Stage 2 Mathematical Methods – Further Differentiation and Applications
1.1 Introductory Differential Calculus 1.2 Differential Rules 1.3 Exponential Functions 1.4 Trigonometric functions 1.5 The Second Derivative
SACE Stage 2 Mathematical Methods – Discrete Random Variables
2.1 Discrete Random Variables 2.2 The Bernoulli Distribution 2.3 Repeated Bernoulli Trials and the Binomial Distribution
SACE Stage 2 Mathematical Methods – Integral Calculus
3.1 Anti-Differentiation 3.2 The Area under Curves 3.3 Fundamental Theorem of Calculus 3.4 Applications of Integration
SACE Stage 2 Mathematical Methods – Logarithmic Functions
4.1 Using Logarithms for Solving Exponential Equations 4.2 Logarithmic Functions and their Graphs 4.3 Calculus of Logarithmic Functions
SACE Stage 2 Mathematical Methods – Continuous Random Variables
5.1 Introduction to Continuous Random Variables 5.2 Normal Distributions 5.3 Sampling
SACE Stage 2 Mathematical Methods – Sampling and Confidence Intervals
6.1 Confidence Intervals for a Population Mean 6.2 Population Properteis 6.3 Confidence Intervals for a Population Proportion
Stage 2 Specialist Mathematics
SACE Stage 2 Specialist Mathematics – Mathematical Induction
1.1 Proof my Mathematical Induction 1.2 Divisibility Proof 1.3 Inequality Proof
SACE Stage 2 Specialist Mathematics – Complex Numbers
2.1 Cartesian and Polar Forms 2.2 The Complex (Argand) Plane 2.3 Roots of Complex Numbers 2.4 Factorisation of Polynomials
SACE Stage 2 Specialist Mathematics – Functions and Sketching Graphs
3.1 Composition of functions 3.2 One-to-One Functions 3.3 Sketching Graphs
SACE Stage 2 Specialist Mathematics – Vectors in Three Dimensions
4.1 The Algebra of Vectors in Three Dimensions 4.2 Vector and Cartesian Equations 4.3 Sydtems of Linear Equations
SACE Stage 2 Specialist Mathematics – Integration Techniques and Applications
5.1 Integration Techniques 5.2 Applications of Integral Calculus
SACE Stage 2 Specialist Mathematics – Rates of Change and Differential Equations
6.1 Implicit Differentiation 6.2 Differential Equations 6.3 Pairs of Varying Quantities - Polynomials 6.4 Related Rates, Velocity and Tangents 6.5 Trigonometric Parameterisations