# Stage 1 Essential Mathematics

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45 Lessons

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

1.1 Calculations1.2 Time and Rates1.3 Ratio and Scale

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31 Lessons

## SACE Stage 1 Essential Mathematics – Earning and Spending

2.1 Earning2.2 Spending2.3 Budgeting

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13 Lessons

## SACE Stage 1 Essential Mathematics – Geometry

3.1 Shapes3.2 Angle Geometry3.3 Geometry and Construction

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23 Lessons

## 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

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28 Lessons

## SACE Stage 1 Essential Mathematics – Measurement

5.1 Linear Measure5.2 Area Measure5.3 Mass5.4 Volume and Capacity5.5 Power and Energy

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12 Lessons

## SACE Stage 1 Essential Mathematics – Investing

6.1 simple Interest6.2 Compound Interest6.3 Investing for Interest

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# Stage 1 General Mathematics

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7 Lessons

## 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

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36 Lessons

## 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…

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26 Lessons

## 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…

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24 Lessons

## 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

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22 Lessons

## SACE Stage 1 General Mathematics – Linear and Exponential Functions and Graphs

5.1 Linear Functions and Graphs5.2 Exponential Functions and Graphs

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12 Lessons

## SACE Stage 1 General Mathematics – Matrices and Networks

6.1 Matrix Arithmetic and Costing Applications6.2 Networks

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# Stage 1 Mathematics

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69 Lessons

## 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

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52 Lessons

## 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…

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53 Lessons

## 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…

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29 Lessons

## 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

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35 Lessons

## 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

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39 Lessons

## 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…

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# Stage 2 Essential Mathematics

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9 Lessons

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

1.1 Geometry1.2 Scale Diagrams

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40 Lessons

## SACE Stage 2 Essential Mathematics – Measurement

2.1 Linear Measure2.2 Area Measure2.3 Mass, volume and Capacity

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13 Lessons

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24 Lessons

## SACE Stage 2 Essential Mathematics – Statistics

4.1 Sampling from Populations4.2 Analysiis and Representation of Sets od Data4.3 Linear Correlation

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19 Lessons

## SACE Stage 2 Essential Mathematics – Investments and Loans

5.1 Lump-Sum Investments5.2 Annuity Investments5.3 Loan Annuities

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# Stage 2 General Mathematics

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5 Lessons

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

1.1 Simultaneous Linear Equations1.2 Linear Programming

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0 Lessons

## SACE Stage 2 General Mathematics – Modelling with Matrices

2.1 Application of Matrices to Network Problems2.2 Application of Matrices to Transition Problems

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16 Lessons

## SACE Stage 2 General Mathematics – Statistical Models

3.1 Bivariate Statistics3.2 The Normal Distribution

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18 Lessons

## SACE Stage 2 General Mathematics – Financial Models

4.1 Models for Saving4.2 Models for Borrowing

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## SACE Stage 2 General Mathematics – Discrete Models

5.1 Critical Path Analysis5.2 Assignment Problems

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# Stage 2 Mathematical Methods

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31 Lessons

## 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

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8 Lessons

## 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

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16 Lessons

## 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

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6 Lessons

## 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

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16 Lessons

## SACE Stage 2 Mathematical Methods – Continuous Random Variables

5.1 Introduction to Continuous Random Variables 5.2 Normal Distributions 5.3 Sampling

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0 Lessons

## 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

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# Stage 2 Specialist Mathematics

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5 Lessons

## SACE Stage 2 Specialist Mathematics – Mathematical Induction

1.1 Proof my Mathematical Induction 1.2 Divisibility Proof 1.3 Inequality Proof

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21 Lessons

## 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

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14 Lessons

## SACE Stage 2 Specialist Mathematics – Functions and Sketching Graphs

3.1 Composition of functions 3.2 One-to-One Functions 3.3 Sketching Graphs

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20 Lessons

## 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

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22 Lessons

## SACE Stage 2 Specialist Mathematics – Integration Techniques and Applications

5.1 Integration Techniques 5.2 Applications of Integral Calculus

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10 Lessons

## 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

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