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

Topic:Ratio and proportion

Specification references (in recommended teaching order)

Specification content Specification notes
N11
  • Identify and work with fractions in ratio problems


    R3
    • Express one quantity as a fraction of another, where the fraction is less than 1 or greater than 1


      R4
      • Use ratio notation, including reduction to simplest form


        R5
        • Divide a given quantity into two parts in a given part:part or part:whole ratio
        • Express the division of a quantity into two parts as a ratio
        • Apply ratio to real contexts and problems (such as those involving conversion, comparison, scaling, mixing and concentrations)

        • including better value or best buy problems

        R6
        • Express a multiplicative relationship between two quantities as a ratio or a fraction


        R7
        • Understand and use proportion as equality of ratios


          R8
          • Relate ratios to fractions and to linear functions



            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

            Ratio and proportion - all resources for 3 year route map - zip folder
            Downloadable resource in zip format. 29/09/2015
            Topic overview and lesson plans
            Downloadable resource in doc format. 29/09/2015

            Lesson 1 Activity 1
            Downloadable resource in doc format. 29/09/2015
            Lesson 1 Activity 2
            Downloadable resource in doc format. 29/09/2015
            Lesson 2 Activity 1
            Downloadable resource in doc format. 29/09/2015
            Lesson 3 Activity 1
            Downloadable resource in doc format. 29/09/2015
            Lesson 3 Activity 2
            Downloadable resource in doc format. 29/09/2015
            Lesson 3 Activity 3
            Downloadable resource in doc format. 29/09/2015
            Lesson 3 Activity 4
            Downloadable resource in doc format. 29/09/2015
            Lesson 4 Activity 1
            Downloadable resource in doc format. 29/09/2015
            Lesson 5 Activity 1
            Downloadable resource in doc format. 29/09/2015
            Lesson 6 Activity 1
            Downloadable resource in doc format. 29/09/2015

            Lesson 1 Starter 1
            Downloadable resource in ppt format. 29/09/2015
            Lesson 2 Starter 1
            Downloadable resource in ppt format. 29/09/2015
            Lesson 2 Starter 2
            Downloadable resource in ppt format. 29/09/2015
            Lesson 3 Starter 1
            Downloadable resource in ppt format. 29/09/2015
            Lesson 4 Starter 1
            Downloadable resource in ppt format. 29/09/2015
            Lesson 5 Starter 1
            Downloadable resource in ppt format. 29/09/2015
            Lesson 6 Starter 1
            Downloadable resource in ppt format. 29/09/2015

            Lesson 1 Worksheet 1
            Downloadable resource in doc format. 29/09/2015
            Lesson 2 Worksheet 1
            Downloadable resource in doc format. 29/09/2015
            Lesson 3 Worksheet 1
            Downloadable resource in doc format. 29/09/2015
            Lesson 4 Worksheet 1
            Downloadable resource in doc format. 29/09/2015
            Lesson 5 Worksheet 1
            Downloadable resource in doc format. 29/09/2015
            Lesson 6 Worksheet 1
            Downloadable resource in doc format. 29/09/2015

            Lesson 1 Homework sheet 1
            Downloadable resource in doc format. 29/09/2015
            Lesson 2 Homework sheet 1
            Downloadable resource in doc format. 29/09/2015
            Lesson 3 Homework sheet 1
            Downloadable resource in doc format. 29/09/2015
            Lesson 4 Homework sheet 1
            Downloadable resource in doc format. 29/09/2015
            Lesson 5 Homework sheet 1
            Downloadable resource in doc format. 29/09/2015
            Lesson 6 Homework sheet 1
            Downloadable resource in doc format. 29/09/2015

            Diagnostic Questions - Ratio and Proportion
            AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic question assessment for our new 2017 GCSE Maths specification.01/03/2016
            Diagnostic Questions - Ratio and Proportion 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.20/07/2017
            Diagnostic Questions - Ratio and Proportion 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.20/07/2017
            Diagnostic Questions - Ratio and Proportion 3
            AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic questions assessment for our new 2017 GCSE Maths specification.20/07/2017

            Aunt Dotty
            A straightforward starter activity involving dividing a quantity of money in a stated ratio.17/06/2015
            Express as a fraction
            An online activity in which students must express one quantity as a fraction of another, including situations where the answer is greater than one.17/06/2015
            Mixing Lemonade
            An online activity in which students must work out which of two glasses of lemonade, made of lemon juice and water, would taste stronger.17/06/2015
            Ratio Problem
            A problem solving activity in which students must use the given clues to match up the cards into five groups and fill in the blanks on the cards which have information missing. You will need to register for a TES account to access this resource, this is free of charge. 17/06/2015
            The Unitary Method
            Two online exercises in which students must solve ratio problems using the unitary method.17/06/2015
            Treasure Hunt - Sharing Ratio
            A treasure hunt activity in which the cards involve dividing a quantity into a given ratio.17/06/2015
            Various ratio tarsia puzzles
            Several ratio tarsia puzzles in which assess various aspects of working with ratios.17/06/2015

            Baking Bad
            Activities loosely based on the idea of the TV series 'Breaking Bad' - students must scale up cooking recipes for cakes to serve a different number of people. You will need to register for a TES account to access this resource, this is free of charge. 17/06/2015
            Ratio - customisable worksheets
            Generate worksheets on simplifying ratios, dividing an amount in a given ratio and equivalent ratios with options of 2 or 3 part ratios and various numbers of questions. 17/06/2015

            Collecting data - Body correlation - Lesson plan
            Downloadable resource in doc format. 19/08/2010
            Percentage and ratio - Homework sheets
            Downloadable resource in doc format. 07/05/2010
            Percentages and Ratio - Lesson plan 1
            Downloadable resource in doc format. 22/04/2010
            Percentages and ratio - Lesson plan 2
            Downloadable resource in doc format. 22/04/2010
            Percentages and ratio - Powerpoint 1
            Downloadable resource in ppt format. 22/04/2010
            Percentages and ratio - Powerpoint 2
            Downloadable resource in ppt format. 22/04/2010
            Ratio and proportion - Lesson plan 1
            Downloadable resource in doc format. 16/04/2010
            Ratio and proportion - Lesson plan 2
            Downloadable resource in doc format. 13/04/2010
            Ratio and proportion - Lesson plan 3
            Downloadable resource in doc format. 10/04/2010
            Ratio and proportion - Powerpoint 1
            Downloadable resource in ppt format. 15/04/2010
            Ratio and proportion - Powerpoint 2
            Downloadable resource in ppt format. 12/04/2010
            Ratio and proportion - Unitary Method - Powerpoint 3
            Downloadable resource in ppt format. 09/04/2010
            Ratio and proportion - Worksheet 1
            Downloadable resource in doc format. 14/04/2010
            Ratio and proportion - Worksheet 2
            Downloadable resource in doc format. 11/04/2010
            Ratio and proportion - Worksheet 3
            Downloadable resource in doc format. 08/04/2010
            Ratio and Proportion - Equivalent Ratios - Lesson Plan
            Downloadable resource in doc format. 30/04/2010
            Ratio and proportion - Homework sheet 1
            Downloadable resource in doc format. 05/05/2010
            Ratio and Proportion - Ratio - Paint Mixing - Problem Sheet
            Downloadable resource in ppt format. 30/04/2010
            Ratio and Proportion - Ratio - Sorting Activity - Supplementary Resources
            Downloadable resource in doc format. 30/04/2010
            Ratio and Proportion - Ratio - Unit Conversion - Lesson Starter
            Downloadable resource in ppt format. 30/04/2010

            Topic Tests

            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
            8300 GCSE Foundation Ratio Problems Mark Scheme
            Downloadable resource in pdf format. 24/02/2023
            8300 GCSE Foundation Ratio Problems Topic Test
            Downloadable resource in pdf format. 24/02/2023

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