Basic algebra (8300 - Foundation - Algebra)

Topic:Basic algebra

Specification references (in recommended teaching order)

Specification content Specification notes
A1
  • Use and interpret algebraic notation, including: 
       
       
 
  • coefficients written as fractions rather than decimals
  • brackets

  • it is expected that answers are given in their simplest form without an explicit instruction given in the question

N3
  • Use conventional notation for priority of operations, including brackets, powers, roots and reciprocals


A3
  • understand and use the concepts and vocabulary of expressions, equations, formulae, identities, inequalities, terms and factors

  • this will be implicitly and explicitly assessed

A4
  • Simplify and manipulate algebraic expressions by:
    • collecting like terms
    • multiplying a single term over a bracket
    • taking out common factors



    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

    Basic algebra - all resources for 3 year route map - zip folder
    Downloadable resource in zip format. 26/11/2014
    Topic overview and lesson plan
    Downloadable resource in doc format. 26/11/2014

    Lesson 1 Activity 1
    Downloadable resource in doc format. 20/11/2014
    Lesson 2 Activity 1
    Downloadable resource in doc format. 20/11/2014
    Lesson 3 Activity 1
    Downloadable resource in pptx format. 20/11/2014
    Lesson 3 Activity 2
    Downloadable resource in doc format. 20/11/2014
    Lesson 4 Activity 1
    Downloadable resource in zip format. 20/11/2014
    Lesson 5 Activity 1
    Downloadable resource in doc format. 20/11/2014
    Lesson 6 Worksheet 1
    Downloadable resource in doc format. 20/11/2014

    Lesson 1 Starter 1
    Downloadable resource in ppt format. 20/11/2014
    Lesson 2 Starter 1
    Downloadable resource in ppt format. 20/11/2014
    Lesson 3 Starter 1
    Downloadable resource in ppt format. 20/11/2014
    Lesson 4 Starter 1
    Downloadable resource in ppt format. 20/11/2014
    Lesson 5 Starter 1
    Downloadable resource in ppt format. 20/11/2014

    Lesson 1 Plenary 1 v2.0
    Downloadable resource in ppt format. 20/11/2014
    Lesson 2 Plenary 1
    Downloadable resource in ppt format. 20/11/2014
    Lesson 6 Plenary 1
    Downloadable resource in ppt format. 20/11/2014

    Lesson 1 Worksheet 1
    Downloadable resource in doc format. 20/11/2014
    Lesson 2 Worksheet 1
    Downloadable resource in doc format. 20/11/2014
    Lesson 3 Worksheet 1
    Downloadable resource in doc format. 20/11/2014
    Lesson 4 Worksheet 1
    Downloadable resource in doc format. 20/11/2014
    Lesson 5 Worksheet 1
    Downloadable resource in doc format. 20/11/2014
    Lesson 6 Worksheet 1
    Downloadable resource in doc format. 20/11/2014
    Lesson 6 Worksheet 2
    Downloadable resource in doc format. 20/11/2014
    Lesson 6 Worksheet 3
    Downloadable resource in doc format. 20/11/2014

    Lesson 1 Homework sheet 1
    Downloadable resource in doc format. 20/11/2014
    Lesson 2 Homework sheet 1
    Downloadable resource in doc format. 20/11/2014
    Lesson 3 Homework sheet 1
    Downloadable resource in doc format. 20/11/2014
    Lesson 4 Homework sheet 1
    Downloadable resource in doc format. 20/11/2014
    Lesson 5 Homework sheet 1
    Downloadable resource in doc format. 20/11/2014
    Lesson 6 Homework sheet 1
    Downloadable resource in doc format. 20/11/2014

    Diagnostic Questions - Basic Algebra
    AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic question assessment for our new 2017 GCSE Maths specification.26/02/2016

    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
    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

    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

    Multiplying Brackets
    Multiplying brackets bingo22/01/2015

    Algebraic manipulation - Homework sheets
    Downloadable resource in doc format. 02/04/2010
    Algebraic manipulation - Manipulating expressions - Lesson plan
    Downloadable resource in doc format. 07/04/2010
    Algebraic manipulation - Manipulation and formulae - Use of letters - Worksheet
    Downloadable resource in doc format. 05/04/2010
    Algebraic manipulation - Psychic maths - Lesson plan
    Downloadable resource in doc format. 06/04/2010
    Algebraic manipulation - Psychic maths - Worksheet
    Downloadable resource in doc format. 03/04/2010
    Algebraic manipulation and formulae - Use of letters - Lesson plans
    Downloadable resource in doc format. 08/04/2010
    Basic algebra - Factorising - Lesson plan
    Downloadable resource in doc format. 09/05/2010
    Basic algebra - Homework sheets
    Downloadable resource in doc format. 03/05/2010
    Basic algebra - Multiplying single term over bracket - Lesson plan
    Downloadable resource in doc format. 08/05/2010
    Basic algebra - Multiplying single term over bracket - Worksheet
    Downloadable resource in doc format. 07/05/2010
    Basic Algebra - Problem Solving - Flow Chart
    Downloadable resource in doc format. 06/05/2010
    Basic Algebra - Whole Numbers - Problem Sheet 2
    Downloadable resource in doc format. 04/05/2010
    Formulae and algebraic argument - Formulae - Lesson plan 1
    Downloadable resource in doc format. 09/04/2010
    Formulae and algebraic argument - Formulae - Lesson plan 2
    Downloadable resource in doc format. 08/04/2010
    Formulae and algebraic argument - Formulae - Plenary activity for lesson 1
    Downloadable resource in doc format. 06/04/2010
    Formulae and algebraic argument - Formulae - Plenary activity for lesson 2
    Downloadable resource in doc format. 05/04/2010
    Formulae and algebraic argument - Formulae - Worksheet 1
    Downloadable resource in doc format. 07/04/2010
    Formulae and algebraic argument - Formulae - Worksheet 2
    Downloadable resource in doc format. 04/04/2010
    Formulae and algebraic argument - Homework sheets
    Downloadable resource in doc format. 02/04/2010
    Formulae and Algebraic Argument - Pecuniary - Problem Sheet
    Downloadable resource in doc format. 03/04/2010

    Topic Tests

    8300 GCSE Foundation Expanding Brackets Mark Scheme
    Downloadable resource in pdf format. 03/10/2022
    8300 GCSE Foundation Expanding Brackets Topic Test
    Downloadable resource in pdf format. 03/10/2022
    8300 GCSE Foundation Expressions and Indices Mark Scheme
    Downloadable resource in pdf format. 30/09/2022
    8300 GCSE Foundation Expressions and Indices Topic Test
    Downloadable resource in pdf format. 30/09/2022
    8300 GCSE Foundation Forming Expressions Mark Scheme
    Downloadable resource in pdf format. 30/09/2022
    8300 GCSE Foundation Forming Expressions Topic Test
    Downloadable resource in pdf format. 30/09/2022
    8300 GCSE Foundation Substitution Mark Scheme
    Downloadable resource in pdf format. 30/09/2022
    8300 GCSE Foundation Substitution Topic Test
    Downloadable resource in pdf format. 30/09/2022

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