# KS4 Higher Quadratic Formula

This set of resources provides resources that introduce, prove, worked examples, and questions of the quadratic formulae. All resources use a graphical method that emphasise to the student that they are finding the roots of the equation and that some curves do not cross the horizontal axis and hence no roots can be found.

A video introduction is used from youtube that has no advertisements and gives a steady but detailed introduction using worked examples without any proof.

### Introduction to the Quadratic Formula Part 1 of 2

This introduction to the quadratic formula is in two parts and is slowly given without any adverts. It is not the most professional but seems to understood by pupils.

### Introduction to the Quadratic Formula Part 2 of 2

This introduction to the quadratic formula is in two parts and is slowly given without any adverts. It is not the most professional but seems to understood by pupils.

### Algebra: First Aid Kit

An introduction to the formula with excellent worked examples and sample questions, ideal for the introduction of this subject to students

### Nuffield National Curriculum Mathematics 5

A proof of the formula is given on page 112 using the 'completing the square' method and then provides a worked example and many practical questions.

It then moves onto the discriminant and shows graphical representations where no solution can be found.

### Algebra Maths Centre

This short but excellent resource summarises all methods to solve quadratic equations and provides another method to introducing the formula in the class room. It also provides an excellent summary for revision for students.

### Space Math

This resource is an excellent cross ciriculum opportunity with the Science department for joint use of the quadratic formula. Use Atmospheric Shielding from Radiation on page 22 that contains the quadratic exercises.

### Algebra LSIS

Produced by the Learning and Skills Improvement Service this resources provides practical resources for a lesson on quadratic formula using graphs and cut out equations and roots.

The class can be split into teams to solve the puzzle and demonstrate their understanding of quadratics.

### Number/Algebra by MEI

Extension material for those who can be taken upto complex numbers by introducing the square root of -1.

### Mathematics in Geography 4: The Gravity Model

The title suggests a cross curricula opportunity with the Geography department however I would suggest the Physics department as this involves high level understanding of gravity and does employ the quadratic formula on many occasions.

Ideal for a teacher who wants practical examples of using the quadratic formula.