# Stage 1 Essential Mathematics

## SACE Stage 1 Essential Mathematics - Calculations, Time and Ratio

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1.1 Calculations
1.2 Time and Rates
1.3 Ratio and Scale
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2.1 Earning
2.2 Spending
2.3 Budgeting
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## SACE Stage 1 Essential Mathematics - Geometry

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3.1 Shapes
3.2 Angle Geometry
3.3 Geometry and Construction
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## SACE Stage 1 Essential Mathematics - Data in Context

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4.1 Classifying Data
4.3 Drawing Graphs
4.4 Summarising and Interpreting Data
4.5 Comparing Data Sets
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## SACE Stage 1 Essential Mathematics - Measurement

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5.1 Linear Measure
5.2 Area Measure
5.3 Mass
5.4 Volume and Capacity
5.5 Power and Energy
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## SACE Stage 1 Essential Mathematics - Investing

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6.1 simple Interest
6.2 Compound Interest
6.3 Investing for Interest
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# Stage 1 General Mathematics

## SACE Stage 1 General Mathematics - Investing and Borrowing

by iitutor

1.1 Investing for Interest
1.2 Investing for Shares
1.3 Return on Investment
1.4 Costs of Borrowing
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## SACE Stage 1 General Mathematics - Measurement

by iitutor

2.1 Application of Measuring Devices and Units of Measurement
2.2 Perimeter and Area of Plane Shapes
2.3 Volume and Surface area of Solids
2.4 Scale and Rates
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## SACE Stage 1 General Mathematics - Statistical Investigation

by iitutor

3.1 The Statistical Investigation Process
3.2 Sampling and Collecting Data
3.3 Classifying and Organising Data
3.4 The Shape, Location and Spread of Distribution of Numerical Data
3.5 Forming and Supporting Conjectures across Two or More Groups
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## SACE Stage 1 General Mathematics - Applications of Trigonometry

by iitutor

4.1 Similarity
4.2 Right Triangle Geometry
4.3 Area of Triangles
4.4 Solving Problems with Non-Right Triangles
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## SACE Stage 1 General Mathematics - Linear and Exponential Functions...

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5.1 Linear Functions and Graphs
5.2 Exponential Functions and Graphs
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## SACE Stage 1 General Mathematics - Matrices and Networks

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6.1 Matrix Arithmetic and Costing Applications
6.2 Networks
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# Stage 1 Mathematics

## SACE Stage 1 Mathematics - Functions, Graphs and Polynomials

by iitutor

1.1 Lines and Linear Relationships
1.2 Inverse Proportion
1.3 Relations
1.4 Functions
1.6 Cubic and quartic Polynomials
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## SACE Stage 1 Mathematics - Trigonometry, Counting and Statistics

by iitutor

2.1 Cosine and sine Rules
2.2 Circular Measure and Radian Measure
2.3 Trigonometric functions
2.4 Counting
2.5 Discrete and continuous Random Data
2.6 Samples and Statistical Measures
2.7 Normal Distributions
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## SACE Stage 1 Mathematics - Differential Calculus, Growth and Decay

by iitutor

3.1 Indices and Index laws
3.2 Exponential functions
3.3 Logarithmic Functions
3.4 Rate of Change
3.5 The Concept of a Derivative
3.6 Computations of Derivatives
3.7 Properties of Derivatives
3.8 Applications of Derivatives
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## SACE Stage 1 Mathematics - Geometry, Sequences and Series

by iitutor

4.1 Arithmetic Sequences and Series
4.2 Geometric Sequences and Series
4.3 Circle Properties
4.4 The Nature of Proof
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## SACE Stage 1 Mathematics - Vectors in the Plane and...

by iitutor

5.1 Vector Operations
5.2 Component and Unit Vector Forms
5.3 Projections
5.4 Geometric Proofs using Vectors
5.5 Further Trigonometric Functions
5.6 Trigonometric Identities
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## SACE Stage 1 Mathematics - Matrices, Real and Complex Numbers

by iitutor

6.1 Matrix Arithmetic
6.2 Transformations in the Plane
6.3 The Number Line
6.4 Introduction to Mathematical Induction
6.5 complex Numbers
6.6 The complex (Argand) Plane 6.7 Roots of Equations
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# Stage 2 Essential Mathematics

## SACE Stage 2 Essential Mathematics - Scales, Plans and Models

by iitutor

1.1 Geometry
1.2 Scale Diagrams
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## SACE Stage 2 Essential Mathematics - Measurement

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2.1 Linear Measure
2.2 Area Measure
2.3 Mass, volume and Capacity
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## SACE Stage 2 Essential Mathematics - Business Applications

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3.2 Costing Calculations
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## SACE Stage 2 Essential Mathematics - Statistics

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4.1 Sampling from Populations
4.2 Analysiis and Representation of Sets od Data
4.3 Linear Correlation
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## SACE Stage 2 Essential Mathematics - Investments and Loans

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5.1 Lump-Sum Investments
5.2 Annuity Investments
5.3 Loan Annuities
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# Stage 2 General Mathematics

## SACE Stage 2 General Mathematics - Modelling with Linear Relationship

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1.1 Simultaneous Linear Equations
1.2 Linear Programming
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## SACE Stage 2 General Mathematics - Modelling with Matrices

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2.1 Application of Matrices to Network Problems
2.2 Application of Matrices to Transition Problems
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## SACE Stage 2 General Mathematics - Statistical Models

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3.1 Bivariate Statistics
3.2 The Normal Distribution
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## SACE Stage 2 General Mathematics - Financial Models

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4.1 Models for Saving
4.2 Models for Borrowing
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## SACE Stage 2 General Mathematics - Discrete Models

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5.1 Critical Path Analysis
5.2 Assignment Problems
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# Stage 2 Mathematical Methods

## SACE Stage 2 Mathematical Methods - Further Differentiation and Applications

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1.1 Introductory Differential Calculus
1.2 Differential Rules
1.3 Exponential Functions
1.4 Trigonometric functions
1.5 The Second Derivative
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## SACE Stage 2 Mathematical Methods - Discrete Random Variables

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2.1 Discrete Random Variables
2.2 The Bernoulli Distribution
2.3 Repeated Bernoulli Trials and the Binomial Distribution
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## SACE Stage 2 Mathematical Methods - Integral Calculus

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3.1 Anti-Differentiation
3.2 The Area under Curves
3.3 Fundamental Theorem of Calculus
3.4 Applications of Integration
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## SACE Stage 2 Mathematical Methods - Logarithmic Functions

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4.1 Using Logarithms for Solving Exponential Equations
4.2 Logarithmic Functions and their Graphs
4.3 Calculus of Logarithmic Functions
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## SACE Stage 2 Mathematical Methods - Continuous Random Variables

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5.1 Introduction to Continuous Random Variables
5.2 Normal Distributions
5.3 Sampling
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## SACE Stage 2 Mathematical Methods - Sampling and Confidence Intervals

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6.1 Confidence Intervals for a Population Mean
6.2 Population Properteis
6.3 Confidence Intervals for a Population Proportion
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# Stage 2 Specialist Mathematics

## SACE Stage 2 Specialist Mathematics - Mathematical Induction

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1.1 Proof my Mathematical Induction
1.2 Divisibility Proof
1.3 Inequality Proof
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## SACE Stage 2 Specialist Mathematics - Complex Numbers

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2.1 Cartesian and Polar Forms
2.2 The Complex (Argand) Plane
2.3 Roots of Complex Numbers
2.4 Factorisation of Polynomials
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## SACE Stage 2 Specialist Mathematics - Functions and Sketching Graphs

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3.1 Composition of functions
3.2 One-to-One Functions
3.3 Sketching Graphs
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## SACE Stage 2 Specialist Mathematics - Vectors in Three Dimensions

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4.1 The Algebra of Vectors in Three Dimensions
4.2 Vector and Cartesian Equations
4.3 Sydtems of Linear Equations
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## SACE Stage 2 Specialist Mathematics - Integration Techniques and Applications

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5.1 Integration Techniques
5.2 Applications of Integral Calculus
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## SACE Stage 2 Specialist Mathematics - Rates of Change and...

by iitutor

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
0 Lessons