Ratio and proportion (8300 - Higher - 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 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

              Teaching resources - see below
              Downloadable resource in format. 29/08/2014

              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

              Aunt Dotty
              A straightforward starter activity involving dividing a quantity of money in a stated ratio.17/06/2015
              Complex ratio problem
              This challenging problem solving ratio activity is suitable for the most able higher tier students as an extension or challenge activity.17/06/2015
              Exploring ratio with gears
              An interesting activity in which ratio is considered in the context of bike gears.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
              Oh for the mathematics of yesteryear
              A challenging activity in which students must carry out calculations involving the supplies an army would need to support themselves for a given time period. Conversion between units such as ounces, pounds and hundredweight and 'old' money is required. 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. 22/08/2010
              Collecting data - Body correlation - Student handout
              Downloadable resource in doc format. 05/06/2010
              Collecting data - Body correlation - Teacher Handout
              Downloadable resource in doc format. 05/07/2010
              Ratio and Proportion - Cycling - Card Generator - Supplementary Resource
              Downloadable resource in xls format. 05/05/2010
              Ratio and proportion - Homework Sheet and Mark Scheme
              Downloadable resource in doc format. 07/08/2010
              Ratio and proportion - Homework Sheets and Mark Scheme
              Downloadable resource in doc format. 02/05/2010
              Ratio and Proportion - Lesson Plan 1
              Downloadable resource in doc format. 20/08/2010
              Ratio and Proportion - Lesson Plan 2
              Downloadable resource in doc format. 17/08/2010
              Ratio and Proportion - Lesson Plan 4
              Downloadable resource in doc format. 10/08/2010
              Ratio and Proportion - Maths and Cycling - Lesson plan
              Downloadable resource in doc format. 06/05/2010
              Ratio and Proportion - Powerpoint 1
              Downloadable resource in ppt format. 18/08/2010
              Ratio and Proportion - Powerpoint 2
              Downloadable resource in ppt format. 15/08/2010
              Ratio and Proportion - Powerpoint 3
              Downloadable resource in ppt format. 11/08/2010
              Ratio and Proportion - Proportional Parts - Worksheet 2
              Downloadable resource in doc format. 16/08/2010
              Ratio and Proportion - Ratio Spider 1 - Worksheet 3
              Downloadable resource in doc format. 13/08/2010
              Ratio and Proportion - Ratio Spider 2 - Worksheet 3
              Downloadable resource in doc format. 12/08/2010
              Ratio and Proportion - Worksheet 1
              Downloadable resource in doc format. 19/08/2010
              Ratio and Proportion - Worksheet 4
              Downloadable resource in doc format. 08/08/2010
              Ratio and Proportion Powerpoint 4
              Downloadable resource in ppt format. 09/08/2010

              Topic Tests

              8300 GCSE Higher Best Buys Mark Scheme
              Downloadable resource in pdf format. 30/01/2023
              8300 GCSE Higher Best Buys Topic Test
              Downloadable resource in pdf format. 30/01/2023
              8300 GCSE Higher Coordinate Problems Mark Scheme
              Downloadable resource in pdf format. 30/01/2023
              8300 GCSE Higher Coordinate Problems Topic Test
              Downloadable resource in pdf format. 30/01/2023
              8300 GCSE Higher Proportion Problems Topic Test
              Downloadable resource in pdf format. 30/01/2023
              8300 GCSE Higher Ratio Problems Mark Scheme
              Downloadable resource in pdf format. 30/01/2023
              8300 GCSE Higher Ratio Problems Topic Test
              Downloadable resource in pdf format. 30/01/2023

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