All About Maths

Solving quadratic equations (8300 - Foundation - Algebra)

Topic:Solving quadratic equations

Route Map

Specification references (in recommended teaching order)

Specification content Specification notes
A18
  • Solve quadratic equations algebraically by factorising
  • Find approximate solutions using a graph


    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

    Solving quadratic equations - all resources for 3 year route map - zip folder
    Downloadable resource in zip format. 09/07/2014
    11.3 MB
    Related resources: Solving quadratic equations
    Topic overview and lesson plans
    Downloadable resource in doc format. 09/07/2014
    81 KB
    Related resources: Solving quadratic equations

    Lesson 1 Activity 1
    Downloadable resource in pptx format. 12/07/2014
    953 KB
    Related resources: Solving quadratic equations
    Lesson 1 Activity 2
    Downloadable resource in doc format. 11/07/2014
    498 KB
    Related resources: Solving quadratic equations
    Lesson 2 Activity 1
    Downloadable resource in doc format. 10/07/2014
    574 KB
    Related resources: Solving quadratic equations
    Lesson 3 Activity 1
    Downloadable resource in pptx format. 09/07/2014
    1.0 MB
    Related resources: Solving quadratic equations
    Lesson 4 Activity 1
    Downloadable resource in doc format. 08/07/2014
    811 KB
    Related resources: Solving quadratic equations
    Lesson 5 Activity 1
    Downloadable resource in pptx format. 07/07/2014
    1.0 MB
    Related resources: Solving quadratic equations
    Lesson 5 Activity 2
    Downloadable resource in doc format. 06/07/2014
    587 KB
    Related resources: Solving quadratic equations
    Lesson 5 Activity 3
    Downloadable resource in pdf format. 05/07/2014
    1.3 MB
    Related resources: Solving quadratic equations
    Lesson 5 Activity 4
    Downloadable resource in doc format. 04/07/2014
    398 KB
    Related resources: Solving quadratic equations
    Lesson 5 Activity 5
    Downloadable resource in doc format. 03/07/2014
    204 KB
    Related resources: Solving quadratic equations
    Lesson 6 Activity 1
    Downloadable resource in doc format. 02/07/2014
    207 KB
    Related resources: Solving quadratic equations
    Lesson 6 Activity 2
    Downloadable resource in doc format. 01/07/2014
    203 KB
    Related resources: Solving quadratic equations

    Lesson 1 Worksheet 1
    Downloadable resource in doc format. 08/07/2014
    2.0 MB
    Related resources: Solving quadratic equations
    Lesson 2 Worksheet 1
    Downloadable resource in doc format. 07/07/2014
    1.4 MB
    Related resources: Solving quadratic equations
    Lesson 2 Worksheet 2
    Downloadable resource in doc format. 06/07/2014
    420 KB
    Related resources: Solving quadratic equations
    Lesson 3 Worksheet 1
    Downloadable resource in doc format. 05/07/2014
    1.2 MB
    Related resources: Solving quadratic equations
    Lesson 4 Worksheet 1
    Downloadable resource in doc format. 04/07/2014
    415 KB
    Related resources: Solving quadratic equations
    Lesson 4 Worksheet 2
    Downloadable resource in doc format. 03/07/2014
    2.6 MB
    Related resources: Solving quadratic equations
    Lesson 6 Worksheet 1
    Downloadable resource in doc format. 02/07/2014
    392 KB
    Related resources: Solving quadratic equations

    Lesson 1 Homework sheet 1
    Downloadable resource in doc format. 08/07/2014
    363 KB
    Related resources: Solving quadratic equations
    Lesson 2 Homework sheet 1
    Downloadable resource in doc format. 07/07/2014
    362 KB
    Related resources: Solving quadratic equations
    Lesson 3 Homework sheet 1
    Downloadable resource in doc format. 06/07/2014
    542 KB
    Related resources: Solving quadratic equations
    Lesson 4 Homework sheet 1
    Downloadable resource in doc format. 05/07/2014
    866 KB
    Related resources: Solving quadratic equations
    Lesson 5 Homework sheet 1
    Downloadable resource in doc format. 04/07/2014
    396 KB
    Related resources: Solving quadratic equations
    Lesson 6 Homework sheet 1
    Downloadable resource in doc format. 03/07/2014
    697 KB
    Related resources: Solving quadratic equations

    Diagnostic Questions - solving quadratic equations 1
    AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic question assessment for the 2017 GCSE Maths qualification.27/04/2017
    E-library
    Type(s): Diagnostic Questions (e-library)
    Diagnostic Questions - solving quadratic equations 2
    AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic question assessment for the 2017 GCSE Maths qualification. 27/04/2017
    E-library
    Type(s): Diagnostic Questions (e-library)
    Diagnostic Questions - solving quadratic equations 3
    AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic question assessment for the 2017 GCSE Maths qualification.27/04/2017
    E-library
    Type(s): Diagnostic Questions (e-library)

    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
    E-library
    Type(s): Activities (e-library)
    Finding the roots from a quadratic graph
    A powerpoint involving reading the roots from quadratic graphs, including cases where there are equal roots or no real roots. You will need to register for a TES account to access this resource, this is free of charge. 02/09/2015
    E-library
    Type(s): Activities (e-library)
    Form and solve quadratic equations
    A series of problems that might be used as starter or plenary activities, involving forming and solving a quadratic equation in real life contexts.02/09/2015
    E-library
    Type(s): Activities (e-library)
    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
    E-library
    Type(s): Activities (e-library)
    Teachit Maths: Solving quadratics dominoes
    Domino style activity in which students must pair up the quadratic equations with its pair of solutions.02/09/2015
    E-library
    Type(s): Activities (e-library)
    Transum Quadratics
    Levels 1-3 of this online activity involve factorising and solving quadratic equations where a=1.02/09/2015
    E-library
    Type(s): Activities (e-library)
    Which graph?
    Students must pair up the quadratic equation with the corresponding graph, by identifying the roots.02/09/2015
    E-library
    Type(s): Activities (e-library)

    Solving quadratic equations graphically
    A worksheet involving solving quadratic equations using the graphs provided. You will need to register for a TES account to access this resource, this is free of charge. 02/09/2015
    E-library
    Type(s): Worksheets (e-library)

    Maths is Fun: Quadratic Equation Solver
    An interactive demonstration in which a quadratic equation is inputted and a the solutions can be seen on the graph which is sketched automatically on screen (NB The section on the quadratic formula is higher tier only).02/09/2015
    E-library
    Type(s): Miscellaneous (e-library)

    Topic Tests

    8300 GCSE Foundation Factorising and Solving Quadratics Mark Scheme
    Downloadable resource in pdf format. 09/02/2023
    225 KB
    Related resources: Solving quadratic equations
    8300 GCSE Foundation Factorising and Solving Quadratics Topic Test
    Downloadable resource in pdf format. 09/02/2023
    215 KB
    Related resources: Solving quadratic equations
    8300 GCSE Foundation Solving Quadratics Practice Mark Scheme
    Downloadable resource in pdf format. 22/12/2022
    265 KB
    Related resources: Algebra recap and extension | Solving quadratic equations
    8300 GCSE Foundation Solving Quadratics Practice Topic Test
    Downloadable resource in pdf format. 22/12/2022
    255 KB
    Related resources: Algebra recap and extension | Solving quadratic equations
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