Probability (8300 - Higher - Probability)

Topic:Probability

Specification references (in recommended teaching order)

Specification content Specification notes
P2
  • Apply ideas of randomness, fairness and equally likely events to calculate expected outcomes or multiple future experiments


    P3
    • Relate relative expected frequencies to theoretical probability, using appropriate language and the 0 – 1 probability scale


      P5
      • Understand that empirical unbiased samples tend towards theoretical probability distributions with increasing sample size


        P6
        • Enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams and tree diagrams


        P8
        • Calculate the probability of independent and dependent combined events, including using tree diagrams and other representations, and know the underlying assumptions

        • know when to add and when to multiply two or more probabilities

        P9
        • Calculate and interpret conditional probabilities through representation using expected frequencies with two-way tables, tree diagrams and Venn diagrams



          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

          Conditional Probability PowerPoint 1 (part of Higher tier teaching pack)
          Downloadable resource in ppt format. 29/04/2016
          Conditional Probability PowerPoint 2 (part of Higher tier teaching pack)
          Downloadable resource in ppt format. 29/04/2016
          Two way tables & Venn diagrams resources (part of Higher tier teaching pack)
          Downloadable resource in doc format. 29/04/2016

          Diagnostic Questions - probability 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 - probability 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 - probability 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.21/07/2017
          Diagnostic Questions - Pythagoras' theorem 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 - Pythagoras' theorem 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.21/07/2017
          Diagnostic Qurestion - Pythagoras' theorem 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

          GCSE Bitesize: Conditional Probabilities
          An introduction to conditional probability using tree diagrams.05/08/2015

          Equally Likely Outcomes card sort
          Students must sort the cards into two piles dependent on whether they describe equally likely outcomes or not. You will need to register for a TES account to access this resource, this is free of charge. 05/08/2015
          Maths is Fun: Tree diagrams
          An introduction to tree diagrams, including independent and dependent events, followed by ten online questions.05/08/2015
          Nrich: Stop or Dare
          A card game in which students determine an optimal strategy for playing the game.05/08/2015
          Teachit Maths - Drawing Pin Probability Experiment
          Student carry out an experiment in which they calculate the experimental probability of the pin landing 'pin up' or 'pin down'. This activity can be extended by recording the cumulative results after 10, 20, 30, 40 etc… trials and plotting the relative frequency at each stage as a line graph - this will show how the relative experimental frequency settles down to a long term theoretical probability.05/08/2015
          Three Scores
          In this dice game, each player has a different way of scoring. Students use sample space diagrams to predict who will win, then test their predictions!05/08/2015
          Transum Dice Bingo
          A classic mathematical game in which students choose their own bingo numbers and cross them off if they occur as the total of two dice.05/08/2015
          Transum: Ice Cream
          Students investigate how many ways a two scoop ice cream could be made from 6 possible flavours.05/08/2015
          Transum: Venn Diagrams
          A starter activity introducing the idea of a Venn diagram through the use of prime, square and even numbers.05/08/2015
          Venn Diagram Match Up Activity Sheet
          Activity in which students use match statements to various shaded Venn diagrams. You will need to register for a TES account to access this resource, this is free of charge. 05/08/2015

          Transum: Ice Cream
          Students investigate how many ways a two scoop ice cream could be made from 6 possible flavours.05/08/2015
          Transum: Venn Diagrams
          A starter activity introducing the idea of a Venn diagram through the use of prime, square and even numbers.05/08/2015

          Transum: Venn Diagrams
          A starter activity introducing the idea of a Venn diagram through the use of prime, square and even numbers.05/08/2015

          CIMT: Theoretical and Experimental Probabilities
          Online exercise in which students compare experimental and theoretical probabilities in various scenarios.05/08/2015
          Sample Space Diagram Worksheet
          A comprehensive worksheet of eight increasingly difficult sample space questions. You will need to register for a TES account to access this resource, this is free of charge. 05/08/2015
          Teachit maths - Sample Space Scenarios
          Four questions in which sample spaces are used to represent scenarios and to find probabilities.05/08/2015
          The AND/OR rules
          A worksheet of questions where students must apply and 'AND' and 'OR' rules to find probabilities. You will need to register for a TES account to access this resource, this is free of charge. 05/08/2015

          Nrich: An Introduction to Tree Diagrams
          An article which explains why the 'AND' and 'OR' rules for probability work, in relation to tree diagrams.05/08/2015

          Probability - Coloured Counters in a Bag - Problem Sheet
          Downloadable resource in doc format. 01/08/2010
          Probability - Homework Sheet
          Downloadable resource in doc format. 01/03/2010
          Probability - Homework Sheet and Mark Scheme
          Downloadable resource in doc format. 08/03/2010
          Probability - Order cards - Lesson starter
          Downloadable resource in doc format. 29/10/2010
          Probability - Relative frequency - Lesson plan
          Downloadable resource in doc format. 29/12/2010
          Probability - Spinners - Problem Sheet
          Downloadable resource in doc format. 01/07/2010
          Probability - Three Dice - Problem Sheet
          Downloadable resource in doc format. 01/09/2010
          Probability - Two way plenary
          Downloadable resource in xls format. 29/06/2010
          Probability tree activity
          Defining probability using a probability tree25/04/2010

          Topic Tests

          8300 GCSE Higher Combinations Mark Scheme
          Downloadable resource in pdf format. 09/09/2022
          8300 GCSE Higher Combinations Topic Test
          Downloadable resource in pdf format. 09/09/2022
          8300 GCSE Higher Probability (Harder Problems) Mark Scheme
          Downloadable resource in pdf format. 09/09/2022
          8300 GCSE Higher Probability (Harder Problems) Topic Test
          Downloadable resource in pdf format. 09/09/2022
          8300 GCSE Higher Venn Diagrams Mark Scheme
          Downloadable resource in pdf format. 09/09/2022
          8300 GCSE Higher Venn Diagrams Topic Test
          Downloadable resource in pdf format. 09/09/2022

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