Equation of a circle (8300 - Higher - Algebra)

Topic:Equation of a circle

Specification references (in recommended teaching order)

Specification content Specification notes
A16
  • Recognise and use the equation of a circle with centre at the origin
  • Find the equation of a tangent to a circle at a given point.



    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

    Equation of a circle PowerPoint (part of Higher tier teaching pack)
    Downloadable resource in ppt format. 29/04/2016
    Equation of a circle resources (part of Higher tier teaching pack)
    Downloadable resource in doc format. 29/04/2016

    Diagnostic Questions - equation of a circle 1
    AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic questions assessment for our new 2017 GCSE Maths specification.21/07/2017
    Diagnostic Questions - equation of a circle 2
    AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic questions assessment for our new 2017 GCSE Maths specification.21/07/2017
    Diagnostic Questions - equation of a circle 3
    AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic questions assessment for our new 2017 GCSE Maths specification21/07/2017

    General formula for a circle
    A nicely differentiated set of lesson resources which use Pythagoras' theorem to derive the equation of a circle and use it to state the centre and radius from the given circle equations. You will need to register for a TES account to access this resource, this is free of charge. 19/08/2015
    National STEM Centre: Circles with whole number points
    An activity in which students use Geogebra to investigate the number of points on a circle with given number of integer coordinates. You will need to register for an account to access this resource, this is free of charge. 19/08/2015

    Circles and Tangents
    Accessible via a free Dropbox login, these slides present a range geometrical of problems that involve circles centred on the origin, including finding tangents.19/08/2015
    Equation of tangents to circles
    A well constructed worksheet in which students must sketch circles centred on the origin and use their sketch and calculations to find the equation of a tangent to the circle at a given point. You will need to register for a TES account to access this resource, this is free of charge. 19/08/2015
    General formula for a circle
    A nicely differentiated set of lesson resources which use Pythagoras' theorem to derive the equation of a circle and use it to state the centre and radius from the given circle equations. You will need to register for a TES account to access this resource, this is free of charge. 19/08/2015

    Equation of a Circle 1
    A video tutorial which explains how the equation of a circle in general form is derived. This is the first of a series of ten video tutorials - the others could be used as extension material and as helpful introductory work to AS level Mathematics. You will need to register for a TES account to access this resource, this is free of charge. 19/08/2015

    Topic Tests

    8300 GCSE Higher Equations of Circles Mark Scheme
    Downloadable resource in pdf format. 28/10/2022
    8300 GCSE Higher Equations of Circles Topic Test
    Downloadable resource in pdf format. 28/10/2022

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