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Direct and inverse proportion (8300 - Foundation - Ratio, proportion and rates of change)

Topic:Direct and inverse proportion

Route Map

Specification references (in recommended teaching order)

Specification content Specification notes
R10
  • Solve problems involving direct and inverse proportion, including graphical and algebraic representations

    R13
    • Understand that  is inversely proportional to  is equivalent to  is proportional to
      •  
    • Interpret equations that describe direct and inverse proportion

      R14
      • Recognise and interpret graphs that illustrate direct and inverse proportion


        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

        Direct and Inverse proportion - all resources for 3 year route map - zip folder
        Downloadable resource in zip format. 01/10/2014
        8.3 MB
        Related resources: Direct and inverse proportion
        Topic overview and lesson plans
        Downloadable resource in doc format. 01/10/2014
        509 KB
        Related resources: Direct and inverse proportion

        Lesson 1 Activity 1
        Downloadable resource in ppt format. 25/08/2014
        1.3 MB
        Related resources: Direct and inverse proportion
        Lesson 1 Activity 2
        Downloadable resource in doc format. 25/08/2014
        264 KB
        Related resources: Direct and inverse proportion
        Lesson 3 Activity 1
        Downloadable resource in doc format. 25/08/2014
        208 KB
        Related resources: Direct and inverse proportion
        Lesson 4 Activity 1
        Downloadable resource in ppt format. 25/08/2014
        1.4 MB
        Related resources: Direct and inverse proportion
        Lesson 4 Activity 2
        Downloadable resource in doc format. 25/08/2014
        211 KB
        Related resources: Direct and inverse proportion
        Lesson 5 Activity 1
        Downloadable resource in ppt format. 25/08/2014
        1.6 MB
        Related resources: Direct and inverse proportion
        Lesson 6 Activity 1
        Downloadable resource in doc format. 25/08/2014
        211 KB
        Related resources: Direct and inverse proportion
        Lesson 7 Activity 1
        Downloadable resource in doc format. 25/08/2014
        237 KB1.4 MB
        Related resources: Direct and inverse proportion
        Lesson 8 Activity 1
        Downloadable resource in ppt format. 25/08/2014
        1.5 MB
        Related resources: Direct and inverse proportion
        Lesson 8 Activity 2
        Downloadable resource in doc format. 25/08/2014
        215 KB
        Related resources: Direct and inverse proportion

        Lesson 1 Worksheet 1
        Downloadable resource in doc format. 25/08/2014
        264 KB
        Related resources: Direct and inverse proportion
        Lesson 1 Worksheet 2
        Downloadable resource in doc format. 25/08/2014
        224 KB
        Related resources: Direct and inverse proportion
        Lesson 2 Worksheet 1
        Downloadable resource in doc format. 25/08/2014
        252 KB
        Related resources: Direct and inverse proportion
        Lesson 2 Worksheet 2
        Downloadable resource in doc format. 25/08/2014
        296 KB
        Related resources: Direct and inverse proportion
        Lesson 3 Worksheet 1
        Downloadable resource in doc format. 25/08/2014
        224 KB
        Related resources: Direct and inverse proportion
        Lesson 3 Worksheet 2
        Downloadable resource in doc format. 25/08/2014
        274 KB
        Related resources: Direct and inverse proportion
        Lesson 4 Worksheet 1
        Downloadable resource in doc format. 25/08/2014
        215 KB
        Related resources: Direct and inverse proportion
        Lesson 5 Worksheet 1
        Downloadable resource in doc format. 25/08/2014
        997 KB
        Related resources: Direct and inverse proportion
        Lesson 6 Worksheet 1
        Downloadable resource in doc format. 25/08/2014
        281 KB
        Related resources: Direct and inverse proportion
        Lesson 6 Worksheet 2
        Downloadable resource in doc format. 25/08/2014
        278 KB
        Related resources: Direct and inverse proportion
        Lesson 7 Worksheet 1
        Downloadable resource in doc format. 25/08/2014
        247 KB
        Related resources: Direct and inverse proportion

        Lesson 1 Homework sheet 1
        Downloadable resource in doc format. 25/08/2014
        199 KB
        Related resources: Direct and inverse proportion
        Lesson 2 Homework sheet 1
        Downloadable resource in doc format. 25/08/2014
        200 KB
        Related resources: Direct and inverse proportion
        Lesson 3 Homework sheet 1
        Downloadable resource in doc format. 25/08/2014
        222 KB
        Related resources: Direct and inverse proportion
        Lesson 4 Homework sheet 1
        Downloadable resource in doc format. 25/08/2014
        205 KB
        Related resources: Direct and inverse proportion
        Lesson 5 Homework sheet 1
        Downloadable resource in doc format. 25/08/2014
        203 KB
        Related resources: Direct and inverse proportion
        Lesson 6 Homework sheet 1
        Downloadable resource in doc format. 25/08/2014
        266 KB
        Related resources: Direct and inverse proportion
        Lesson 7 Homework sheet 1
        Downloadable resource in doc format. 25/08/2014
        203 KB
        Related resources: Direct and inverse proportion

        Diagnostic Questions - direct and inverse proportion 1
        AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic question assessment for the 2017 GCSE Maths qualification. 26/04/2017
        E-library
        Type(s): Diagnostic Questions (e-library)
        Diagnostic Questions - direct and inverse proportion 2
        AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic question assessment for the 2017 GCSE Maths qualification.26/04/2017
        E-library
        Type(s): Diagnostic Questions (e-library)
        Diagnostic Questions - direct and inverse proportion 3
        AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic questions assessment for the 2017 GCSE Maths qualification. 26/04/2017
        E-library
        Type(s): Diagnostic Questions (e-library)

        GCSE Bitesize: Graphs and Proportion
        Pages 1 - 3 provide a nice overview of direct and inverse proportion and how proportion is represented graphically.19/08/2015
        E-library
        Type(s): Overview (e-library)

        Best Buy - Proportion
        A powerpoint and classroom activities which allow identification of the 'best buy' for a range of products. You will need to register for a TES account to access this resource, this is free of charge. 19/08/2015
        E-library
        Type(s): Activities (e-library)
        CIMT Direct Proportion
        An introduction to direct proportion along with an online exercise in which students use direct proportion to solve problems in a range of real life contexts.19/08/2015
        E-library
        Type(s): Activities (e-library)
        Graphs and Proportion
        Graphs and proportion activity 29/08/2014
        E-library
        Type(s): Activities (e-library)
        Maths is Fun: Directly proportional and inversely proportional
        An introduction to the ideas of direct and inverse proportion, including the associated algebraic representation, followed by 11 online questions.19/08/2015
        E-library
        Type(s): Activities (e-library)
        Nrich - Toad in the Hole
        An activity involving direct proportion in which students calculate whether it would be cheaper to buy a meal from a supermarket or make it from ingredients.19/08/2015
        E-library
        Type(s): Activities (e-library)
        Standards Unit Activity N6: Developing proportional reasoning
        Students are given four proportional reasoning problems to solve and compare methods chosen, including a guided multiplicative approach.19/08/2015
        E-library
        Type(s): Activities (e-library) | Worksheets (e-library)
        Transum - Direct and Inverse Proportion and the Unitary Method
        A series of online exercise which involve constructing equations to solve problems in real life contexts using direct and inverse proportion. There are also two exercises on using the unitary method. (Only the unitary method exercises are suitable for Foundation tier students.)19/08/2015
        E-library
        Type(s): Activities (e-library)

        Best Buys
        Ratios and proportion worksheet29/08/2014
        E-library
        Type(s): Worksheets (e-library)
        Standards Unit Activity N6: Developing proportional reasoning
        Students are given four proportional reasoning problems to solve and compare methods chosen, including a guided multiplicative approach.19/08/2015
        E-library
        Type(s): Activities (e-library) | Worksheets (e-library)

        Direct and Inverse Proportion
        Direct and inverse proportion revision video 29/08/2014
        E-library
        Type(s): Videos (e-library) | Revision (e-library)

        Ratio and Proportion
        Ratio and proportion matching cards 29/08/2014
        E-library
        Type(s): Game (e-library)

        Direct and Inverse Proportion
        Direct and inverse proportion revision video 29/08/2014
        E-library
        Type(s): Videos (e-library) | Revision (e-library)

        Ratio and Proportion - Proportion - Lesson Plan
        Downloadable resource in doc format. 30/04/2010
        49 KB
        Related resources: Direct and inverse proportion | Foundation | Unit 1 | Ratio and Proportion | Lesson Plans
        Ratio and Proportion - Proportion - Matching Activity - Lesson Starter
        Downloadable resource in ppt format. 30/04/2010
        874 KB
        Related resources: Direct and inverse proportion | Foundation | Unit 1 | Ratio and Proportion | Lesson Starters
        Ratio and Proportion - Proportion - Problem Sheet
        Downloadable resource in doc format. 30/04/2010
        102 KB
        Related resources: Direct and inverse proportion | Foundation | Unit 1 | Ratio and Proportion | Problem Sheets

        Topic Tests

        8300 GCSE Foundation Direct and Inverse Proportion Mark Scheme v1.1
        Downloadable resource in pdf format. 22/12/2022
        302 KB
        Related resources: Direct and inverse proportion
        8300 GCSE Foundation Direct and Inverse Proportion Topic Test v1.1
        Downloadable resource in pdf format. 22/12/2022
        530 KB
        Related resources: Direct and inverse proportion
        8300 GCSE Foundation Proportion Problems Mark Scheme
        Downloadable resource in pdf format. 22/12/2022
        257 KB
        Related resources: Direct and inverse proportion | Ratio and proportion
        8300 GCSE Foundation Proportion Problems Topic Test
        Downloadable resource in pdf format. 22/12/2022
        237 KB
        Related resources: Direct and inverse proportion | Ratio and proportion
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