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

Topic:Direct and inverse proportion

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
        Topic overview and lesson plans
        Downloadable resource in doc format. 01/10/2014

        Lesson 1 Activity 1
        Downloadable resource in ppt format. 25/08/2014
        Lesson 1 Activity 2
        Downloadable resource in doc format. 25/08/2014
        Lesson 3 Activity 1
        Downloadable resource in doc format. 25/08/2014
        Lesson 4 Activity 1
        Downloadable resource in ppt format. 25/08/2014
        Lesson 4 Activity 2
        Downloadable resource in doc format. 25/08/2014
        Lesson 5 Activity 1
        Downloadable resource in ppt format. 25/08/2014
        Lesson 6 Activity 1
        Downloadable resource in doc format. 25/08/2014
        Lesson 7 Activity 1
        Downloadable resource in doc format. 25/08/2014
        Lesson 8 Activity 1
        Downloadable resource in ppt format. 25/08/2014
        Lesson 8 Activity 2
        Downloadable resource in doc format. 25/08/2014

        Lesson 1 Worksheet 1
        Downloadable resource in doc format. 25/08/2014
        Lesson 1 Worksheet 2
        Downloadable resource in doc format. 25/08/2014
        Lesson 2 Worksheet 1
        Downloadable resource in doc format. 25/08/2014
        Lesson 2 Worksheet 2
        Downloadable resource in doc format. 25/08/2014
        Lesson 3 Worksheet 1
        Downloadable resource in doc format. 25/08/2014
        Lesson 3 Worksheet 2
        Downloadable resource in doc format. 25/08/2014
        Lesson 4 Worksheet 1
        Downloadable resource in doc format. 25/08/2014
        Lesson 5 Worksheet 1
        Downloadable resource in doc format. 25/08/2014
        Lesson 6 Worksheet 1
        Downloadable resource in doc format. 25/08/2014
        Lesson 6 Worksheet 2
        Downloadable resource in doc format. 25/08/2014
        Lesson 7 Worksheet 1
        Downloadable resource in doc format. 25/08/2014

        Lesson 1 Homework sheet 1
        Downloadable resource in doc format. 25/08/2014
        Lesson 2 Homework sheet 1
        Downloadable resource in doc format. 25/08/2014
        Lesson 3 Homework sheet 1
        Downloadable resource in doc format. 25/08/2014
        Lesson 4 Homework sheet 1
        Downloadable resource in doc format. 25/08/2014
        Lesson 5 Homework sheet 1
        Downloadable resource in doc format. 25/08/2014
        Lesson 6 Homework sheet 1
        Downloadable resource in doc format. 25/08/2014
        Lesson 7 Homework sheet 1
        Downloadable resource in doc format. 25/08/2014

        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
        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
        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

        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

        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
        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
        Graphs and Proportion
        Graphs and proportion activity 29/08/2014
        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
        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
        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
        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

        Best Buys
        Ratios and proportion worksheet29/08/2014
        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

        Direct and Inverse Proportion
        Direct and inverse proportion revision video 29/08/2014

        Ratio and Proportion
        Ratio and proportion matching cards 29/08/2014

        Direct and Inverse Proportion
        Direct and inverse proportion revision video 29/08/2014

        Ratio and Proportion - Proportion - Lesson Plan
        Downloadable resource in doc format. 30/04/2010
        Ratio and Proportion - Proportion - Matching Activity - Lesson Starter
        Downloadable resource in ppt format. 30/04/2010
        Ratio and Proportion - Proportion - Problem Sheet
        Downloadable resource in doc format. 30/04/2010

        Topic Tests

        8300 GCSE Foundation Direct and Inverse Proportion Mark Scheme
        Downloadable resource in pdf format. 22/12/2022
        8300 GCSE Foundation Direct and Inverse Proportion Topic Test
        Downloadable resource in pdf format. 22/12/2022
        8300 GCSE Foundation Proportion Problems Mark Scheme
        Downloadable resource in pdf format. 22/12/2022
        8300 GCSE Foundation Proportion Problems Topic Test
        Downloadable resource in pdf format. 22/12/2022

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