Algebra recap and extension (8300 - Foundation - Algebra)

Topic:

Algebra recap and extension

Specification references (in recommended teaching order)

	Specification content	Specification notes
A3	Understand and use the concepts and vocabulary of expressions, equations, formulae, identities, inequalities, terms and factors (review of Year 9)	this will be implicitly and explicitly assessed
A4	Simplify and manipulate algebraic expressions (including those involving surds) by: collecting like terms multiplying a single term over a bracket taking out common factors
A25	Deduce expressions to calculate the nth term of a linear sequence
A17	Solve linear equations in one unknown algebraically including those with the unknown on both sides of the equation (review of Year 9)	including use of brackets

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

Standards Unit A6 - Interpreting distance time graphs

Activities which enable students to interpret and construct distance-time graphs including reference to speed and acceleration.05/08/2015

Equations with the unknown on both sides

A powerpoint lesson which introduces how to solve equations with the variable on both sides, including those involving brackets. You will need to register for a TES account to access this resource, this is free of charge. 05/08/2015

Algebra Match and Algebra Sort

Two activities which provide the opportunity for students to consider the order of operations in the formation of expressions. The activities are on pages 25 and 35 of the document. You will need to register for an account to access this resource, this is free of charge.20/05/2015

Arithmagons

Arithmagon - Algebra 1 offers practice at adding and subtracting algebraic expressions. Students can also investigate the link between the sum of the circles and the sum of the squares (the last two slides of the powerpoint provide a proof of the result). 19/05/2015

Dartboard Activities

Two powerpoints which offer practice using simple cases of collecting like terms (Darts 2) and factorising over a single bracket (Darts 3) via a 'dartboard' context. 19/05/2015

Equations with the unknown on both sides

Standards Unit A6 - Interpreting distance time graphs

Activities which enable students to interpret and construct distance-time graphs including reference to speed and acceleration.05/08/2015

Straight line graphs rich task

Students must pair up the cards of worded descriptions, equations of straight lines, tables of values for x and y, and graphs. You will need to register for a TES account to access this resource, this is free of charge. 05/08/2015

Tarsia - Solving difficult linear equations

A triangular tarsia involving solving liner equations pof various types, including those with the subject on both sides.05/08/2015

Tarsia - Solving linear equations

A hexagonal tarsia involving solving liner equations of various types, including those with the subject on both sides. You will need to register for a TES account to access this resource, this is free of charge. 05/08/2015

Tarsia- Simplifying Expressions

A tarsia card-matching activity in which students match up equivalent expressions to form a diamond shape. You will need to register for a TES account to access this resource, this is free of charge. 19/05/2015

Transum Algebra in Action

Four levels of online questions in which students form and solve equations in a range of contexts.07/08/2015

Factorise into single brackets only starter

A starter powerpoint which provides practice of factorising over a single bracket. You will need to register for a TES account to access this resource, this is free of charge. 19/05/2015

Nincompoop

Quick starter activity which involves identifying the 'odd expression out' - there are three levels of difficulty. Useful as a starter or plenary activity. 19/05/2015

Expanding brackets and simplifying expressions

Worksheet which increases in difficulty and involves expanding and factorising over a single bracket. There is an accompanying powerpoint. You will need to register for a TES account to access this resource, this is free of charge. 19/05/2015

Teachers TV - Inside Maths Straight line graphs

A video of approximately 14 minutes in duration which looks at the use of real life graphs to represent mobile phone contracts.05/08/2015