Quadratics
Designed to resource a program of study of 3-4 hours for grade B-C GCSE candidates who want to bridge the gap between GCSE and AS Level. The objectives are listed followed by the appropriate resources (click on the links below to scroll straight to the desired unit.)
- Quadratic graphs
- Factorisation
- Completing the square
- Using the quadratic formula
- Simultaneous quadratic equations
Download the lesson plan [Quadratics]
Download all the Quadratics resources (zip file)
... or download them individually, as outlined below ...
Quadratic graphs
Objectives:
- Know that the shape of a quadratic graph is either ‘n’ or ‘u’ and be able to identify which a graph will be.
- Be able to draw quadratic graphs.
- Be able to identify the roots of a quadratic equation from its graph.
Resources:
- Shape of quadratic graphs - teacher led PowerPoint
- Factorising quadratics to solve equations - teacher led PowerPoint
Factorisation
Objectives:
- Factorise quadratics.
- Be able to solve quadratics by factorising.
Resources:
- Spreadsheet to generate infinite number of randomly generated questions on factorising quadratics (with answers)
- teacher led PowerPoint, with some questions, on the difference of two squares
- 32 questions on solving quadratic equations by factorising
- Useful website allowing trail and error solving of quadratics
Completing the square
Objectives:
- Completing the Square
- Derivation of formula for the roots of a quadratic equation.
Resources:
Using the quadratic formula
Objectives:
- Using the quadratic formula to calculate roots.
- Recognising when there will be 0, 1 and 2 roots.
Resources:
- Spreadsheet to generate infinite number of randomly generated questions on factorising quadratics (with answers)
- 15 questions and answers on using the quadratic formula to find roots
Simultaneous quadratic equations
Objectives:
- Solving simultaneous equations where at least one equation is a quadratic equation.