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Quadratics Overview

This series of videos are designed to help you review your understanding of quadratics .

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We recommend you are familiar with:

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  • Basic Algebraic Notation

  • Indices

  • Expanding Brackets

  • Factorising by Taking out Common Factors

  • Solving Linear Equations

  • Plotting Coordinates

  • Sketching Linear Graphs

  • Algebraic Functions

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Download the worksheet below and complete the exercises.

Quadratics Worksheet

Quadratic Formula Derivation

Quadratics Powerpoint

Video 1: Factorising Quadratic Expressions

How to factorise quadratic functions when there is no common factor. The method we use and some worked examples

Video 2: Factorising Incomplete Quadratics

Three different scenarios. Examples of factorising if it has a linear factor, cannot be factorised or is the difference of two squares.

Video 3: Solving Quadratics by Factorising

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Video 4: Solving Incomplete Quadratics by Factorising

How to factorise quadratic functions when there is no common factor. The method we use and some worked examples.

Video 5: Another Way of Solving Incomplete Quadratics

How to solve quadratics when missing the linear term. The method we teach with some worked examples.

Video 6: Solving Quadratics By Completing the Square

How to generalise the method from video 5 to solve quadratics by completing the square.

Video 7: Introduction to the Quadratic Formula

Where the quadratic formula comes from and it's derivation.

Video 8: Applying the Quadratic Formula

Worked examples of using the Quadratic Formula

Video 9: Introduction to Quadratic Functions

The general shape of a quadratic and how it's affected by a, b

and c

Video 10: Sketching Quadratics

How to find the x and y intercepts of a quadratic function

Video 11: Quadratic Inequalities

How to use the sketch of a quadratic function to solve quadratic inequalities

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