# Stage 1 Mathematics

Source – Subject Outline, South Australian Certificate of Education 2023

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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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