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Preliminary HSC: Mathematics

* Fractions, Decimals & Percentages

* Indices (Negative & Fractions)

* Surds

* Absolute Value

* Simplifying Algebraic Expressions

* Binomial Expansion and Factorising

* Completing the Square

 

 

* SOH CAH TOA Review

* Applications (Bearings/Elevation/Depression)

* Exact Values

* Angles of any Magnitude (ASTC)

* Trigonometric Identities

* The Sine and Cosine Rules

* Area of a Non-Right Angled Triangle

* Gradient of a Curve

* Differentiation from First Principles

* Short Methods of Differentiation

* Function of a Function Rule

* Product Rule

* Quotient Rule

* Tangents and Normals

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* Simple Equations

* Substitution with Formulae

* Inequations

* Absolute Value Equations

* Exponential Equations

* Quadratic Equations

* Simultaneous Equations

 

 

* Distance Formula

* Midpoint Formula

* Gradient Formulae

* Equation of a Straight Line

* Parallel and Perpendicular Lines

* Intersection of Lines

* Perpendicular Distance Formula

* Types of Angles

* Angles in Parallel Lines

* Types of Triangles

* Congruent Triangles

* Similar Triangles

* Ratio of Intercepts

* Types of Quadrilaterals

* Polygons

* Areas

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* Relations and Functions

* Domain and Range

* Straight Line Graphs

* The Parabola

* The Circle

* Absolute Value Graphs

* Exponential Graphs

* Hyperbola Graphs

* Shading Regions

* Graph of a Quadratic Function

* Quadratic Inequalities

* Roots of Quadratic Equations (The Discriminant)

* Quadratic Identities

* Sum and Product of Roots

* Equations Reducible to Quadratics

 

* The Locus

* Circle as a Locus

* Parabolas as a Locus

* General Parabola

* Tangents and Normals

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