Basic probability (8300 - Higher - Probability)

Topic:Basic probability

Specification references (in recommended teaching order)

Specification content Specification notes
P1
  • Record, describe and analyse the frequency of outcomes of probability experiments using tables and frequency trees

  • probabilities should be written as fractions, decimals or percentages

P4
  • Apply the property that the probabilities of an exhaustive set of outcomes sum to 1
  • Apply the property that the probabilities of an exhaustive set of mutually exclusive events sum to 1


P7
  • Construct theoretical possibility spaces for single and combined experiments with equally likely outcomes and use these to calculate theoretical probabilities



    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 Question - basic probability 2
    AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic questions assessment for the new 2017 GCSE Maths specification.20/07/2017
    Diagnostic Questions - basic 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.20/07/2017
    Diagnostic Questions - basic probability 3
    AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic questions assessment for the new 2017 GCSE Maths specification.20/07/2017

    Mutually Exclusive Events
    Webpage which explains the term 'mutually exclusive' and provides extension material into Venn diagrams and set notation. The information is followed by ten interactive online questions.23/07/2015
    Sample Space Diagrams
    A powerpoint presentation on sample space diagrams with some questions at the end. You will need to register for a TES account to access this resource, this is free of charge. 23/07/2015
    Teachit Maths: Investigating patterns of random events
    An investigative probability activity involving flipping coins and recording the position they land on a grid. Students must use what they learn to determine rules for a fairground style game.02/09/2015
    Teachit Maths: probability revision wordsearch
    Students must complete the sentences using words they have identified in the wordsearch, such as exhaustive events.02/09/2015
    Teachit Maths: Studying sample space
    Two differentiated sets of activities practising the drawing and use of two-way tables.02/09/2015
    Three Scores
    An activity in which students trial three different ways of winning a dice game and decide which has the greatest theoretical probability of success.23/07/2015
    Which spinners?
    Students must decide which spinners have been used to generate the given bar charts and whether the sum or difference of the scores has been recorded. The later activities are more suitable for Higher tier students.23/07/2015

    Comparing experimental and theoretical probability
    Straightforward investigation in which students consider the relative frequency of events such as 'rolling a 2' from experimental and theoretical perspectives. You will need to register for a TES account to access this resource, this is free of charge. 23/07/2015
    Drawing Pin Experiment
    A worksheet in which students carry out an experiment to find the relative frequency of a drawing pin landing point up.23/07/2015
    Frequency Trees
    A powerpoint presentation introducing frequency trees, followed by three differentiated worksheets. You will need to register for a TES account to access this resource, this is free of charge. 02/09/2015
    Mutually Exclusive / Exhaustive Events
    A worksheet on mutually exclusive and exhaustive events. You will need to register for a TES account to access this resource, this is free of charge. 23/07/2015
    Mutually Exclusive and Exhaustive events
    A worksheet in which students must determine if the stated events are mutually exclusive or exhaustive. You will need to register for a TES account to access this resource, this is free of charge. 02/09/2015
    Probability of two dice - theory vs experiment
    Worksheet and activity to compare the theoretical and experimental probabilities of throwing two dice. You will need to register for a TES account to access this resource, this is free of charge. 23/07/2015
    Sample Space Comparisons
    Four questions which involve analysing the fairness of games through analysing the possible outcomes.02/09/2015
    Studying sample space
    A range of scenarios in which students must design and complete a sample space diagram to find the relative frequency probability of a given event. 23/07/2015
    Teachit Maths: Lottery probability
    A selection of probability questions based on the English National Lottery.02/09/2015
    Three Scores
    An activity in which students trial three different ways of winning a dice game and decide which has the greatest theoretical probability of success.23/07/2015

    Probability - Complements - Lesson starter
    Downloadable resource in xls format. 29/11/2010
    Probability - Homework Sheet
    Downloadable resource in doc format. 01/03/2010
    Probability - Mutually exclusive - Lesson plan
    Downloadable resource in doc format. 02/12/2010
    Probability - Mutually exclusive - Worksheet
    Downloadable resource in xls format. 29/05/2010
    Probability - Two way plenary
    Downloadable resource in xls format. 29/06/2010

    Topic Tests

    8300 GCSE Higher Probability Basic and Relative Frequency Mark Scheme
    Downloadable resource in pdf format. 05/05/2023
    8300 GCSE Higher Probability Basic and Relative Frequency Topic Test
    Downloadable resource in pdf format. 05/05/2023
    8300 GSCE Higher Frequency Trees Mark Scheme
    Downloadable resource in pdf format. 05/05/2023
    8300 GSCE Higher Frequency Trees Topic Test
    Downloadable resource in pdf format. 05/05/2023
    8300 GSCE Higher Two-way tables Mark Scheme
    Downloadable resource in pdf format. 05/05/2023
    8300 GSCE Higher Two-way tables Topic Test
    Downloadable resource in pdf format. 05/05/2023

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