Algebra: introduction to quadratics and rearranging formulae (8300 - Higher - Algebra)

Topic:

Algebra: introduction to quadratics and rearranging formulae

Specification references (in recommended teaching order)

	Specification content	Specification notes
A4	Simplify and manipulate algebraic expressions by: expanding products of two binomials factorising quadratic expressions of the form `ax^2 + bx + c` including the difference of two squares simplifying expressions involving sums, products and powers, including the laws of indices View teaching guidance >
A5	Understand and use standard mathematical formulae Rearrange formulae to change the subject	including use of formulae from other subjects in words and using symbols

The subject content (above) matches that set out in the Department for Education’s Mathematics GCSE subject content and assessment objectives document.

The expectation is that:

All students will develop confidence and competence with the content identified by standard type
All students will be assessed on the content identified by the standard and the underlined type; more highly attaining students will develop confidence and competence with all of this content
Only the more highly attaining students will be assessed on the content identified by bold type. The highest attaining students will develop confidence and competence with the bold content.

Teaching resources

Teaching resources - see below

99+

Downloadable resource in format. 29/08/2014

CIMT: Expanding and Factorising Quadratics

The expanding and factorising section of this website offers an explanation and examples on how to expand and factorise, including the difference of two squares, followed by some online exercises.05/08/2015

Double brackets starter / plenary activity

Designed for use with an interactive voting system this multiple choice quiz offers practise in factorising expressions into two brackets including a couple of challenging questions suitable only for higher tier students. You will need to register for a TES account to access this resource, this is free of charge. 05/08/2015

Factorising quadratics card sort

A card matching activity - students must pair up 16 equations with their factorised form and their solutions. You will need to register for a TES account to access this resource, this is free of charge. 02/09/2015

Quadratic Expression Match Up

A lesson of activities including a starter and differentiated match up activities, including some of the form ax2+bx+c for extension work for Higher tier students. You will need to register for a TES account to access this resource, this is free of charge. 05/08/2015

Solving simple quadratics

An Excel file which generates simple quadratic equations that can be solved without factorising. You will need to register for a TES account to access this resource, this is free of charge. 02/09/2015

Transum Quadratics

Levels 1-3 of this online activity involve factorising and solving quadratic equations where a=1.02/09/2015

Transum: Changing the Subject

Six increasingly demanding online exercises involving changing the subject of a formula.05/08/2015

Double brackets starter / plenary activity

'Show that' - rearranging the formulae

A differentiated worksheet in which students must rearrange expressions to give the answer provided. You will need to register for a TES account to access this resource, this is free of charge. 05/08/2015

Changing the subject of area and volume formulae

A straightforward worksheet in which students must rearrange various formulae for area and volume - the later questions are more suitable for higher tier students. You will need to register for a TES account to access this resource, this is free of charge. 05/08/2015

Factorising into double brackets

A differentiated worksheet in which students use the letters alongside the answers to answer the clues. The hardest questions include some quadratics of the form ax2+bx+c for an extension challenge for Higher tier students. You will need to register for a TES account to access this resource, this is free of charge. 05/08/2015